15.720 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.040 * * * [progress]: [2/2] Setting up program.
0.047 * [progress]: [Phase 2 of 3] Improving.
0.047 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.047 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.047 * * [simplify]: iteration 0: 11 enodes
0.051 * * [simplify]: iteration 1: 15 enodes
0.056 * * [simplify]: iteration 2: 21 enodes
0.062 * * [simplify]: iteration 3: 22 enodes
0.068 * * [simplify]: iteration complete: 22 enodes
0.068 * * [simplify]: Extracting #0: cost 1 inf + 0
0.068 * * [simplify]: Extracting #1: cost 2 inf + 0
0.068 * * [simplify]: Extracting #2: cost 4 inf + 0
0.068 * * [simplify]: Extracting #3: cost 9 inf + 1
0.068 * * [simplify]: Extracting #4: cost 12 inf + 1
0.069 * * [simplify]: Extracting #5: cost 8 inf + 45
0.069 * * [simplify]: Extracting #6: cost 5 inf + 249
0.069 * * [simplify]: Extracting #7: cost 1 inf + 940
0.069 * * [simplify]: Extracting #8: cost 0 inf + 1224
0.070 * [simplify]: Simplified to:
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
0.071 * * [progress]: iteration 1 / 4
0.071 * * * [progress]: picking best candidate
0.088 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.088 * * * [progress]: localizing error
0.128 * * * [progress]: generating rewritten candidates
0.128 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.236 * * * [progress]: generating series expansions
0.236 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.236 * [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))
0.236 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.236 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.236 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.236 * [taylor]: Taking taylor expansion of y in z
0.236 * [backup-simplify]: Simplify y into y
0.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.236 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.236 * [taylor]: Taking taylor expansion of x in z
0.236 * [backup-simplify]: Simplify x into x
0.236 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.236 * [taylor]: Taking taylor expansion of z in z
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.236 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.236 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.236 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.236 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.237 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.238 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.238 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [backup-simplify]: Simplify x into x
0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.239 * [taylor]: Taking taylor expansion of z in y
0.239 * [backup-simplify]: Simplify z into z
0.240 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.240 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.240 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.240 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.240 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.240 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.241 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.241 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.242 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.242 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.242 * [taylor]: Taking taylor expansion of y in x
0.243 * [backup-simplify]: Simplify y into y
0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.243 * [taylor]: Taking taylor expansion of z in x
0.243 * [backup-simplify]: Simplify z into z
0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.243 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.243 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.243 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.243 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.243 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.245 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.245 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.245 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.245 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.246 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.246 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.246 * [taylor]: Taking taylor expansion of y in x
0.246 * [backup-simplify]: Simplify y into y
0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.246 * [taylor]: Taking taylor expansion of z in x
0.246 * [backup-simplify]: Simplify z into z
0.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.246 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.246 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.247 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.247 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.247 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.248 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.248 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.248 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.249 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.250 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.250 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.250 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.251 * [taylor]: Taking taylor expansion of z in y
0.251 * [backup-simplify]: Simplify z into z
0.251 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.251 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.251 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.252 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.253 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.253 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.253 * [taylor]: Taking taylor expansion of z in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.253 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.254 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.255 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.259 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.262 * [backup-simplify]: Simplify (+ 1 0) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.263 * [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)))))
0.264 * [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)))
0.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.265 * [taylor]: Taking taylor expansion of 1/2 in y
0.265 * [backup-simplify]: Simplify 1/2 into 1/2
0.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.265 * [taylor]: Taking taylor expansion of z in y
0.265 * [backup-simplify]: Simplify z into z
0.265 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.265 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.265 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.266 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.267 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.268 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.269 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.269 * [taylor]: Taking taylor expansion of 1/2 in z
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.269 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.269 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.269 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.270 * [taylor]: Taking taylor expansion of z in z
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [taylor]: Taking taylor expansion of 0 in z
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.279 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.281 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.281 * [taylor]: Taking taylor expansion of 1/2 in z
0.281 * [backup-simplify]: Simplify 1/2 into 1/2
0.281 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.281 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.281 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.281 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.282 * [taylor]: Taking taylor expansion of z in z
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.289 * [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))
0.289 * [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
0.289 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.289 * [taylor]: Taking taylor expansion of y in z
0.289 * [backup-simplify]: Simplify y into y
0.289 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.289 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.289 * [taylor]: Taking taylor expansion of x in z
0.289 * [backup-simplify]: Simplify x into x
0.289 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.289 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.289 * [taylor]: Taking taylor expansion of z in z
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (sqrt 1) into 1
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.295 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.295 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.296 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.296 * [taylor]: Taking taylor expansion of y in y
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.297 * [taylor]: Taking taylor expansion of x in y
0.297 * [backup-simplify]: Simplify x into x
0.297 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.297 * [taylor]: Taking taylor expansion of z in y
0.298 * [backup-simplify]: Simplify z into z
0.298 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.298 * [backup-simplify]: Simplify (sqrt 1) into 1
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.301 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.301 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.301 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.301 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.302 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [backup-simplify]: Simplify y into y
0.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.304 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.304 * [taylor]: Taking taylor expansion of z in x
0.304 * [backup-simplify]: Simplify z into z
0.304 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.304 * [backup-simplify]: Simplify (+ 1 0) into 1
0.305 * [backup-simplify]: Simplify (+ 0 1) into 1
0.305 * [backup-simplify]: Simplify (sqrt 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.308 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.308 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.309 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.309 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.310 * [backup-simplify]: Simplify y into y
0.310 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.310 * [taylor]: Taking taylor expansion of x in x
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* 1 1) into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.311 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.311 * [taylor]: Taking taylor expansion of z in x
0.311 * [backup-simplify]: Simplify z into z
0.311 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.311 * [backup-simplify]: Simplify (+ 1 0) into 1
0.312 * [backup-simplify]: Simplify (+ 0 1) into 1
0.312 * [backup-simplify]: Simplify (sqrt 1) into 1
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.315 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
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
0.317 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.317 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.317 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.317 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.318 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.319 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.320 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.324 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.325 * [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))))
0.327 * [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))))
0.327 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.327 * [taylor]: Taking taylor expansion of 1/2 in y
0.327 * [backup-simplify]: Simplify 1/2 into 1/2
0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.327 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.327 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.328 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.328 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.328 * [taylor]: Taking taylor expansion of z in y
0.328 * [backup-simplify]: Simplify z into z
0.328 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.329 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.329 * [taylor]: Taking taylor expansion of 1/2 in y
0.329 * [backup-simplify]: Simplify 1/2 into 1/2
0.329 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.329 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.329 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.330 * [taylor]: Taking taylor expansion of y in y
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [taylor]: Taking taylor expansion of 0 in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 0 in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 0 in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in y
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.348 * [taylor]: Taking taylor expansion of 1/2 in z
0.348 * [backup-simplify]: Simplify 1/2 into 1/2
0.348 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.349 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.349 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.350 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.350 * [taylor]: Taking taylor expansion of z in z
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [taylor]: Taking taylor expansion of 0 in z
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.355 * [taylor]: Taking taylor expansion of 0 in z
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.358 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [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))))))
0.367 * [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))))))
0.367 * [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
0.367 * [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
0.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.367 * [taylor]: Taking taylor expansion of 1/4 in y
0.367 * [backup-simplify]: Simplify 1/4 into 1/4
0.367 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.367 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.367 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.368 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.369 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.369 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.369 * [taylor]: Taking taylor expansion of z in y
0.369 * [backup-simplify]: Simplify z into z
0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.369 * [taylor]: Taking taylor expansion of y in y
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.370 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.370 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.370 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.370 * [taylor]: Taking taylor expansion of 1/8 in y
0.370 * [backup-simplify]: Simplify 1/8 into 1/8
0.370 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.370 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.370 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.370 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.371 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.371 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.371 * [taylor]: Taking taylor expansion of y in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.373 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.373 * [taylor]: Taking taylor expansion of 1/8 in y
0.373 * [backup-simplify]: Simplify 1/8 into 1/8
0.373 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.373 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.374 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.374 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.375 * [taylor]: Taking taylor expansion of z in y
0.375 * [backup-simplify]: Simplify z into z
0.375 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.375 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.375 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.376 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.376 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (- 0) into 0
0.392 * [taylor]: Taking taylor expansion of 0 in z
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [taylor]: Taking taylor expansion of 0 in z
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in z
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [taylor]: Taking taylor expansion of 0 in z
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.400 * [taylor]: Taking taylor expansion of 0 in z
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.403 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
0.404 * [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))
0.404 * [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
0.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.404 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.404 * [taylor]: Taking taylor expansion of y in z
0.404 * [backup-simplify]: Simplify y into y
0.404 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.404 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.404 * [taylor]: Taking taylor expansion of x in z
0.404 * [backup-simplify]: Simplify x into x
0.404 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.404 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.404 * [taylor]: Taking taylor expansion of z in z
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify (+ 0 1) into 1
0.405 * [backup-simplify]: Simplify (+ 0 1) into 1
0.406 * [backup-simplify]: Simplify (sqrt 1) into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.407 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.408 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.408 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.408 * [taylor]: Taking taylor expansion of y in y
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.409 * [taylor]: Taking taylor expansion of x in y
0.409 * [backup-simplify]: Simplify x into x
0.409 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.409 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.409 * [taylor]: Taking taylor expansion of z in y
0.409 * [backup-simplify]: Simplify z into z
0.409 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.409 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.409 * [backup-simplify]: Simplify (+ 1 0) into 1
0.410 * [backup-simplify]: Simplify (sqrt 1) into 1
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.411 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.411 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.412 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.412 * [taylor]: Taking taylor expansion of y in x
0.412 * [backup-simplify]: Simplify y into y
0.412 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.412 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.412 * [taylor]: Taking taylor expansion of x in x
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.413 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.413 * [taylor]: Taking taylor expansion of z in x
0.413 * [backup-simplify]: Simplify z into z
0.413 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.413 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.413 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (+ 0 1) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.419 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.419 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.420 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.420 * [taylor]: Taking taylor expansion of y in x
0.420 * [backup-simplify]: Simplify y into y
0.420 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.420 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.421 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.421 * [taylor]: Taking taylor expansion of z in x
0.421 * [backup-simplify]: Simplify z into z
0.421 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (+ 0 1) into 1
0.422 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.424 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.424 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.424 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.425 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.425 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.425 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.425 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.425 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.426 * [taylor]: Taking taylor expansion of 0 in y
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.426 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.426 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.427 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.429 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.430 * [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))))
0.431 * [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))))
0.431 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.431 * [taylor]: Taking taylor expansion of 1/2 in y
0.431 * [backup-simplify]: Simplify 1/2 into 1/2
0.431 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.431 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.431 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.431 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.431 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.432 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.432 * [taylor]: Taking taylor expansion of z in y
0.432 * [backup-simplify]: Simplify z into z
0.432 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.432 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.432 * [taylor]: Taking taylor expansion of 1/2 in y
0.432 * [backup-simplify]: Simplify 1/2 into 1/2
0.432 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.432 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.432 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.433 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.433 * [taylor]: Taking taylor expansion of y in y
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [taylor]: Taking taylor expansion of 0 in z
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 * [taylor]: Taking taylor expansion of 0 in z
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.437 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in y
0.440 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.441 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.444 * [taylor]: Taking taylor expansion of 1/2 in z
0.444 * [backup-simplify]: Simplify 1/2 into 1/2
0.444 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.444 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
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 (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.444 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.444 * [taylor]: Taking taylor expansion of z in z
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [taylor]: Taking taylor expansion of 0 in z
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in z
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.452 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [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))))))
0.455 * [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))))))
0.455 * [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
0.455 * [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
0.455 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.455 * [taylor]: Taking taylor expansion of 1/4 in y
0.455 * [backup-simplify]: Simplify 1/4 into 1/4
0.455 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.455 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.455 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.455 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.455 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.456 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.456 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.456 * [taylor]: Taking taylor expansion of z in y
0.456 * [backup-simplify]: Simplify z into z
0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.456 * [taylor]: Taking taylor expansion of y in y
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.456 * [backup-simplify]: Simplify (* 1 1) into 1
0.456 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.457 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.457 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.457 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.457 * [taylor]: Taking taylor expansion of 1/8 in y
0.457 * [backup-simplify]: Simplify 1/8 into 1/8
0.457 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.457 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.457 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.457 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.457 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.458 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.458 * [taylor]: Taking taylor expansion of y in y
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.459 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.459 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.459 * [taylor]: Taking taylor expansion of 1/8 in y
0.459 * [backup-simplify]: Simplify 1/8 into 1/8
0.459 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.459 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.459 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.459 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.459 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.459 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.459 * [taylor]: Taking taylor expansion of z in y
0.459 * [backup-simplify]: Simplify z into z
0.460 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.460 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.460 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.461 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.461 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [taylor]: Taking taylor expansion of 0 in z
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [taylor]: Taking taylor expansion of 0 in z
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [taylor]: Taking taylor expansion of 0 in z
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [taylor]: Taking taylor expansion of 0 in z
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.475 * [taylor]: Taking taylor expansion of 0 in z
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
0.478 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.478 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.478 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.478 * [taylor]: Taking taylor expansion of y in z
0.478 * [backup-simplify]: Simplify y into y
0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.478 * [taylor]: Taking taylor expansion of x in z
0.478 * [backup-simplify]: Simplify x into x
0.478 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.478 * [taylor]: Taking taylor expansion of z in z
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.478 * [taylor]: Taking taylor expansion of y in y
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.478 * [taylor]: Taking taylor expansion of x in y
0.478 * [backup-simplify]: Simplify x into x
0.478 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.478 * [taylor]: Taking taylor expansion of z in y
0.478 * [backup-simplify]: Simplify z into z
0.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.478 * [taylor]: Taking taylor expansion of y in x
0.478 * [backup-simplify]: Simplify y into y
0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.478 * [taylor]: Taking taylor expansion of z in x
0.478 * [backup-simplify]: Simplify z into z
0.479 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.479 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.479 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.479 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.479 * [taylor]: Taking taylor expansion of y in x
0.479 * [backup-simplify]: Simplify y into y
0.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.479 * [taylor]: Taking taylor expansion of x in x
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.479 * [taylor]: Taking taylor expansion of z in x
0.479 * [backup-simplify]: Simplify z into z
0.479 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.479 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.479 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.479 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
0.479 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
0.479 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.479 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.479 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.479 * [taylor]: Taking taylor expansion of y in y
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.479 * [taylor]: Taking taylor expansion of z in y
0.479 * [backup-simplify]: Simplify z into z
0.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.479 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.479 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.479 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.479 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.479 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.479 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.479 * [taylor]: Taking taylor expansion of z in z
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.480 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in y
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [taylor]: Taking taylor expansion of 0 in z
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in z
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.482 * [backup-simplify]: Simplify (+ 1 0) into 1
0.483 * [backup-simplify]: Simplify (+ 0 1) into 1
0.483 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
0.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.483 * [backup-simplify]: Simplify 0.3333333333333333 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 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (* 1 1) into 1
0.484 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.484 * [backup-simplify]: Simplify (+ 1 0) into 1
0.485 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.486 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.486 * [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))))
0.486 * [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)))))
0.486 * [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
0.486 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.486 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.486 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.486 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.486 * [taylor]: Taking taylor expansion of y in z
0.486 * [backup-simplify]: Simplify y into y
0.486 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.487 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.487 * [taylor]: Taking taylor expansion of x in z
0.487 * [backup-simplify]: Simplify x into x
0.487 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.487 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.487 * [taylor]: Taking taylor expansion of z in z
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
0.487 * [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
0.488 * [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
0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.488 * [taylor]: Taking taylor expansion of y in x
0.488 * [backup-simplify]: Simplify y into y
0.488 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.488 * [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
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.489 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.489 * [taylor]: Taking taylor expansion of z in x
0.489 * [backup-simplify]: Simplify z into z
0.489 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.489 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.489 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.489 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.489 * [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
0.490 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.491 * [backup-simplify]: Simplify (+ 0 1) into 1
0.491 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.491 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.491 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.493 * [taylor]: Taking taylor expansion of 0 in y
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.494 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.495 * [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))))
0.495 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.495 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.495 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.495 * [taylor]: Taking taylor expansion of y in y
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.495 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.495 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.495 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.495 * [taylor]: Taking taylor expansion of z in y
0.495 * [backup-simplify]: Simplify z into z
0.496 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.496 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.496 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.496 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.496 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.496 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.497 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in y
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in z
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [taylor]: Taking taylor expansion of 0 in z
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [taylor]: Taking taylor expansion of 0 in z
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.505 * [taylor]: Taking taylor expansion of 0 in y
0.505 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.507 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.507 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.507 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.507 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.507 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.507 * [taylor]: Taking taylor expansion of z in z
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.512 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.512 * [taylor]: Taking taylor expansion of 0 in z
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [taylor]: Taking taylor expansion of 0 in z
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.513 * [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))))
0.513 * [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)))))
0.513 * [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
0.513 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.513 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.513 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.513 * [taylor]: Taking taylor expansion of y in z
0.513 * [backup-simplify]: Simplify y into y
0.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.513 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.513 * [taylor]: Taking taylor expansion of x in z
0.513 * [backup-simplify]: Simplify x into x
0.513 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.513 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.513 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.513 * [taylor]: Taking taylor expansion of z in z
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.514 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.514 * [taylor]: Taking taylor expansion of y in y
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.515 * [taylor]: Taking taylor expansion of x in y
0.515 * [backup-simplify]: Simplify x into x
0.515 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.515 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.515 * [taylor]: Taking taylor expansion of z in y
0.515 * [backup-simplify]: Simplify z into z
0.515 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.515 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.515 * [taylor]: Taking taylor expansion of y in x
0.515 * [backup-simplify]: Simplify y into y
0.515 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.515 * [taylor]: Taking taylor expansion of x in x
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.516 * [backup-simplify]: Simplify (/ 1 1) into 1
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.516 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.516 * [taylor]: Taking taylor expansion of z in x
0.516 * [backup-simplify]: Simplify z into z
0.516 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.516 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.516 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.516 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.516 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.516 * [taylor]: Taking taylor expansion of y in x
0.516 * [backup-simplify]: Simplify y into y
0.516 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.516 * [taylor]: Taking taylor expansion of x in x
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify (* 1 1) into 1
0.517 * [backup-simplify]: Simplify (/ 1 1) into 1
0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.517 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.517 * [taylor]: Taking taylor expansion of z in x
0.517 * [backup-simplify]: Simplify z into z
0.517 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.517 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.517 * [backup-simplify]: Simplify (+ 1 0) into 1
0.517 * [backup-simplify]: Simplify (+ 0 1) into 1
0.518 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.518 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.518 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.520 * [taylor]: Taking taylor expansion of 0 in y
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.521 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.521 * [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))))
0.521 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.522 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.522 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.522 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.522 * [taylor]: Taking taylor expansion of y in y
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.522 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.522 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.522 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.522 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.522 * [taylor]: Taking taylor expansion of z in y
0.522 * [backup-simplify]: Simplify z into z
0.522 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.522 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.523 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.523 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.526 * [taylor]: Taking taylor expansion of 0 in y
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in z
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [taylor]: Taking taylor expansion of 0 in z
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [taylor]: Taking taylor expansion of 0 in z
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.531 * [taylor]: Taking taylor expansion of 0 in y
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.533 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.533 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.533 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.533 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.533 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.533 * [taylor]: Taking taylor expansion of z in z
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.534 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.534 * [taylor]: Taking taylor expansion of 0 in z
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [taylor]: Taking taylor expansion of 0 in z
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.534 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.535 * [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))))
0.535 * * * [progress]: simplifying candidates
0.535 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1/2))>
0.535 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1))>
0.535 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.535 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [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))))>
0.535 * * * * [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)))))>
0.535 * * * * [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)))))>
0.535 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.535 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.535 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
0.536 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))>
0.536 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 2)))>
0.536 * * * * [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)))))>
0.536 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.536 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
0.536 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.536 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.536 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1)))>
0.536 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)))))>
0.536 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.536 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (log (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.536 * * * * [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)))))>
0.536 * * * * [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)))))>
0.536 * * * * [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)))))>
0.536 * * * * [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)))))>
0.536 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0))))>
0.536 * * * * [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)))))>
0.536 * * * * [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)))))>
0.536 * * * * [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))))>
0.536 * * * * [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)))))>
0.536 * * * * [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)))))>
0.536 * * * * [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))))>
0.536 * * * * [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)))))>
0.536 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))))>
0.536 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.537 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* 1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.537 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))))>
0.537 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.537 * * * * [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))))>
0.537 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (sqrt 3.0))))>
0.537 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) 1) 3.0)))>
0.537 * * * * [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)))))))>
0.537 * * * * [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)))))))>
0.537 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.537 * * * * [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))))))))>
0.537 * * * * [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))))))>
0.537 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (posit16->real (real->posit16 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.537 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
0.537 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
0.537 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
0.537 * * * * [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))))))>
0.537 * * * * [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))))))>
0.537 * * * * [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))))))>
0.538 * [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))))
0.539 * * [simplify]: iteration 0: 109 enodes
0.580 * * [simplify]: iteration 1: 219 enodes
0.647 * * [simplify]: iteration 2: 651 enodes
1.008 * * [simplify]: iteration 3: 3007 enodes
1.847 * * [simplify]: iteration complete: 5008 enodes
1.847 * * [simplify]: Extracting #0: cost 65 inf + 0
1.848 * * [simplify]: Extracting #1: cost 322 inf + 2
1.852 * * [simplify]: Extracting #2: cost 779 inf + 1856
1.864 * * [simplify]: Extracting #3: cost 1622 inf + 14748
1.895 * * [simplify]: Extracting #4: cost 1323 inf + 117038
1.978 * * [simplify]: Extracting #5: cost 298 inf + 412783
2.120 * * [simplify]: Extracting #6: cost 18 inf + 509431
2.257 * * [simplify]: Extracting #7: cost 0 inf + 517610
2.390 * [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)))
2.395 * * * [progress]: adding candidates to table
2.761 * * [progress]: iteration 2 / 4
2.761 * * * [progress]: picking best candidate
2.789 * * * * [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))))>
2.789 * * * [progress]: localizing error
2.823 * * * [progress]: generating rewritten candidates
2.823 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
2.868 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
2.890 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.060 * * * [progress]: generating series expansions
3.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
3.061 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.061 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.061 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.061 * [taylor]: Taking taylor expansion of y in z
3.061 * [backup-simplify]: Simplify y into y
3.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.061 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.061 * [taylor]: Taking taylor expansion of x in z
3.061 * [backup-simplify]: Simplify x into x
3.061 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.061 * [taylor]: Taking taylor expansion of z in z
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 1 into 1
3.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.061 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.061 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.061 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.061 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.062 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.062 * [taylor]: Taking taylor expansion of y in y
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.062 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.063 * [taylor]: Taking taylor expansion of x in y
3.063 * [backup-simplify]: Simplify x into x
3.063 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.063 * [taylor]: Taking taylor expansion of z in y
3.063 * [backup-simplify]: Simplify z into z
3.063 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.063 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.063 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.063 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.063 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.063 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.063 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.063 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.064 * [taylor]: Taking taylor expansion of y in x
3.064 * [backup-simplify]: Simplify y into y
3.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.064 * [taylor]: Taking taylor expansion of x in x
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.064 * [taylor]: Taking taylor expansion of z in x
3.064 * [backup-simplify]: Simplify z into z
3.064 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.064 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.064 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.064 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.064 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.064 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.065 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.065 * [taylor]: Taking taylor expansion of y in x
3.065 * [backup-simplify]: Simplify y into y
3.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.065 * [taylor]: Taking taylor expansion of x in x
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.065 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.065 * [taylor]: Taking taylor expansion of z in x
3.065 * [backup-simplify]: Simplify z into z
3.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.065 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.065 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.065 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.065 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.065 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.066 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.066 * [taylor]: Taking taylor expansion of y in y
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.066 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.066 * [taylor]: Taking taylor expansion of z in y
3.066 * [backup-simplify]: Simplify z into z
3.066 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.066 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.066 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.066 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.067 * [taylor]: Taking taylor expansion of z in z
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [taylor]: Taking taylor expansion of 0 in y
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [taylor]: Taking taylor expansion of 0 in z
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [taylor]: Taking taylor expansion of 0 in z
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.068 * [backup-simplify]: Simplify (+ 1 0) into 1
3.069 * [backup-simplify]: Simplify (+ 0 1) into 1
3.069 * [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)))))
3.069 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.069 * [taylor]: Taking taylor expansion of 1/2 in y
3.069 * [backup-simplify]: Simplify 1/2 into 1/2
3.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.069 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.069 * [taylor]: Taking taylor expansion of y in y
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.069 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.069 * [taylor]: Taking taylor expansion of z in y
3.069 * [backup-simplify]: Simplify z into z
3.069 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.069 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.069 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.069 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.070 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.070 * [backup-simplify]: Simplify (+ 0 0) into 0
3.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.070 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.070 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.070 * [taylor]: Taking taylor expansion of 1/2 in z
3.070 * [backup-simplify]: Simplify 1/2 into 1/2
3.070 * [taylor]: Taking taylor expansion of z in z
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [taylor]: Taking taylor expansion of 0 in z
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (* 1 1) into 1
3.072 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.072 * [backup-simplify]: Simplify (+ 1 0) into 1
3.072 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.072 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.072 * [taylor]: Taking taylor expansion of 1/2 in z
3.072 * [backup-simplify]: Simplify 1/2 into 1/2
3.072 * [taylor]: Taking taylor expansion of z in z
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.074 * [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)))))
3.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.074 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.074 * [taylor]: Taking taylor expansion of y in z
3.074 * [backup-simplify]: Simplify y into y
3.074 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.074 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.074 * [taylor]: Taking taylor expansion of x in z
3.074 * [backup-simplify]: Simplify x into x
3.074 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.074 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.074 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.074 * [taylor]: Taking taylor expansion of z in z
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (* 1 1) into 1
3.075 * [backup-simplify]: Simplify (/ 1 1) into 1
3.075 * [backup-simplify]: Simplify (+ 0 1) into 1
3.075 * [backup-simplify]: Simplify (+ 0 1) into 1
3.075 * [backup-simplify]: Simplify (sqrt 1) into 1
3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.077 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.077 * [taylor]: Taking taylor expansion of y in y
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.078 * [backup-simplify]: Simplify (/ 1 1) into 1
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.078 * [taylor]: Taking taylor expansion of x in y
3.078 * [backup-simplify]: Simplify x into x
3.078 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.078 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.078 * [taylor]: Taking taylor expansion of z in y
3.078 * [backup-simplify]: Simplify z into z
3.078 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.078 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.078 * [backup-simplify]: Simplify (+ 1 0) into 1
3.079 * [backup-simplify]: Simplify (sqrt 1) into 1
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.080 * [taylor]: Taking taylor expansion of y in x
3.080 * [backup-simplify]: Simplify y into y
3.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.080 * [taylor]: Taking taylor expansion of x in x
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.081 * [backup-simplify]: Simplify (/ 1 1) into 1
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.081 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.081 * [taylor]: Taking taylor expansion of z in x
3.081 * [backup-simplify]: Simplify z into z
3.081 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.081 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.081 * [backup-simplify]: Simplify (+ 1 0) into 1
3.082 * [backup-simplify]: Simplify (+ 0 1) into 1
3.082 * [backup-simplify]: Simplify (sqrt 1) into 1
3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.084 * [taylor]: Taking taylor expansion of y in x
3.084 * [backup-simplify]: Simplify y into y
3.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.084 * [taylor]: Taking taylor expansion of x in x
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (* 1 1) into 1
3.084 * [backup-simplify]: Simplify (/ 1 1) into 1
3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.084 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.084 * [taylor]: Taking taylor expansion of z in x
3.084 * [backup-simplify]: Simplify z into z
3.084 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.084 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.085 * [backup-simplify]: Simplify (+ 1 0) into 1
3.085 * [backup-simplify]: Simplify (+ 0 1) into 1
3.085 * [backup-simplify]: Simplify (sqrt 1) into 1
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (+ 0 0) into 0
3.087 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.088 * [taylor]: Taking taylor expansion of 1 in y
3.088 * [backup-simplify]: Simplify 1 into 1
3.088 * [taylor]: Taking taylor expansion of 0 in y
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [taylor]: Taking taylor expansion of 1 in z
3.088 * [backup-simplify]: Simplify 1 into 1
3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.091 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.091 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.092 * [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))))
3.092 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.092 * [taylor]: Taking taylor expansion of 1/2 in y
3.093 * [backup-simplify]: Simplify 1/2 into 1/2
3.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.093 * [taylor]: Taking taylor expansion of y in y
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (* 1 1) into 1
3.093 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.094 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.094 * [taylor]: Taking taylor expansion of z in y
3.094 * [backup-simplify]: Simplify z into z
3.094 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.094 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (+ 0 0) into 0
3.096 * [backup-simplify]: Simplify (+ 1 0) into 1
3.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.097 * [taylor]: Taking taylor expansion of 0 in z
3.097 * [backup-simplify]: Simplify 0 into 0
3.097 * [taylor]: Taking taylor expansion of 0 in z
3.097 * [backup-simplify]: Simplify 0 into 0
3.097 * [taylor]: Taking taylor expansion of 0 in z
3.097 * [backup-simplify]: Simplify 0 into 0
3.097 * [backup-simplify]: Simplify 1 into 1
3.097 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.101 * [taylor]: Taking taylor expansion of 0 in y
3.101 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.104 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.104 * [taylor]: Taking taylor expansion of 1/2 in z
3.104 * [backup-simplify]: Simplify 1/2 into 1/2
3.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.104 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.104 * [taylor]: Taking taylor expansion of z in z
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (* 1 1) into 1
3.105 * [backup-simplify]: Simplify (/ 1 1) into 1
3.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [taylor]: Taking taylor expansion of 0 in z
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [taylor]: Taking taylor expansion of 0 in z
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [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))))))
3.116 * [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
3.116 * [taylor]: Taking taylor expansion of -1/2 in y
3.116 * [backup-simplify]: Simplify -1/2 into -1/2
3.116 * [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
3.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.116 * [taylor]: Taking taylor expansion of 1/2 in y
3.116 * [backup-simplify]: Simplify 1/2 into 1/2
3.116 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.116 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.116 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.116 * [taylor]: Taking taylor expansion of z in y
3.116 * [backup-simplify]: Simplify z into z
3.116 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.116 * [taylor]: Taking taylor expansion of y in y
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.117 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.117 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.117 * [taylor]: Taking taylor expansion of 1/4 in y
3.117 * [backup-simplify]: Simplify 1/4 into 1/4
3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.117 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.117 * [taylor]: Taking taylor expansion of y in y
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.118 * [backup-simplify]: Simplify (* 1 1) into 1
3.118 * [backup-simplify]: Simplify (/ 1 1) into 1
3.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.118 * [taylor]: Taking taylor expansion of 1/4 in y
3.118 * [backup-simplify]: Simplify 1/4 into 1/4
3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.118 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.118 * [taylor]: Taking taylor expansion of z in y
3.118 * [backup-simplify]: Simplify z into z
3.118 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.118 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.118 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.119 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.119 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (+ 0 0) into 0
3.126 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.127 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.128 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.128 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.128 * [taylor]: Taking taylor expansion of 0 in z
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [taylor]: Taking taylor expansion of 0 in z
3.128 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.130 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.130 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.131 * [taylor]: Taking taylor expansion of 0 in z
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [taylor]: Taking taylor expansion of 0 in z
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [taylor]: Taking taylor expansion of 0 in z
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.132 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.133 * [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)))))
3.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.133 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.133 * [taylor]: Taking taylor expansion of y in z
3.133 * [backup-simplify]: Simplify y into y
3.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.133 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.133 * [taylor]: Taking taylor expansion of x in z
3.133 * [backup-simplify]: Simplify x into x
3.133 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.133 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.133 * [taylor]: Taking taylor expansion of z in z
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify (* 1 1) into 1
3.134 * [backup-simplify]: Simplify (/ 1 1) into 1
3.134 * [backup-simplify]: Simplify (+ 0 1) into 1
3.134 * [backup-simplify]: Simplify (+ 0 1) into 1
3.135 * [backup-simplify]: Simplify (sqrt 1) into 1
3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.136 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.136 * [taylor]: Taking taylor expansion of y in y
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* 1 1) into 1
3.137 * [backup-simplify]: Simplify (/ 1 1) into 1
3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.137 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.137 * [taylor]: Taking taylor expansion of x in y
3.137 * [backup-simplify]: Simplify x into x
3.137 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.137 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.137 * [taylor]: Taking taylor expansion of z in y
3.137 * [backup-simplify]: Simplify z into z
3.137 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.137 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.138 * [backup-simplify]: Simplify (+ 1 0) into 1
3.138 * [backup-simplify]: Simplify (sqrt 1) into 1
3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.141 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.141 * [taylor]: Taking taylor expansion of y in x
3.141 * [backup-simplify]: Simplify y into y
3.141 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.141 * [taylor]: Taking taylor expansion of x in x
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (* 1 1) into 1
3.142 * [backup-simplify]: Simplify (/ 1 1) into 1
3.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.142 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.142 * [taylor]: Taking taylor expansion of z in x
3.142 * [backup-simplify]: Simplify z into z
3.142 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.142 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.143 * [backup-simplify]: Simplify (+ 1 0) into 1
3.143 * [backup-simplify]: Simplify (+ 0 1) into 1
3.144 * [backup-simplify]: Simplify (sqrt 1) into 1
3.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.147 * [taylor]: Taking taylor expansion of y in x
3.147 * [backup-simplify]: Simplify y into y
3.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.147 * [taylor]: Taking taylor expansion of x in x
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (/ 1 1) into 1
3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.148 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.148 * [taylor]: Taking taylor expansion of z in x
3.148 * [backup-simplify]: Simplify z into z
3.148 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.148 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.148 * [backup-simplify]: Simplify (+ 1 0) into 1
3.149 * [backup-simplify]: Simplify (+ 0 1) into 1
3.149 * [backup-simplify]: Simplify (sqrt 1) into 1
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.152 * [taylor]: Taking taylor expansion of 1 in y
3.152 * [backup-simplify]: Simplify 1 into 1
3.152 * [taylor]: Taking taylor expansion of 0 in y
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [taylor]: Taking taylor expansion of 1 in z
3.152 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.154 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.156 * [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))))
3.156 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.156 * [taylor]: Taking taylor expansion of 1/2 in y
3.156 * [backup-simplify]: Simplify 1/2 into 1/2
3.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.156 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.156 * [taylor]: Taking taylor expansion of y in y
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify (* 1 1) into 1
3.157 * [backup-simplify]: Simplify (/ 1 1) into 1
3.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.157 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.157 * [taylor]: Taking taylor expansion of z in y
3.157 * [backup-simplify]: Simplify z into z
3.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.157 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.159 * [backup-simplify]: Simplify (+ 0 0) into 0
3.159 * [backup-simplify]: Simplify (+ 1 0) into 1
3.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.160 * [taylor]: Taking taylor expansion of 0 in z
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [taylor]: Taking taylor expansion of 0 in z
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [taylor]: Taking taylor expansion of 0 in z
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 1 into 1
3.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.164 * [taylor]: Taking taylor expansion of 0 in y
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.167 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.167 * [taylor]: Taking taylor expansion of 1/2 in z
3.167 * [backup-simplify]: Simplify 1/2 into 1/2
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.167 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.167 * [taylor]: Taking taylor expansion of z in z
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (/ 1 1) into 1
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [taylor]: Taking taylor expansion of 0 in z
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [taylor]: Taking taylor expansion of 0 in z
3.170 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [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))))))
3.176 * [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
3.177 * [taylor]: Taking taylor expansion of -1/2 in y
3.177 * [backup-simplify]: Simplify -1/2 into -1/2
3.177 * [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
3.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.177 * [taylor]: Taking taylor expansion of 1/2 in y
3.177 * [backup-simplify]: Simplify 1/2 into 1/2
3.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.177 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.177 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.177 * [taylor]: Taking taylor expansion of z in y
3.177 * [backup-simplify]: Simplify z into z
3.177 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.177 * [taylor]: Taking taylor expansion of y in y
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 1 into 1
3.177 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.177 * [backup-simplify]: Simplify (* 1 1) into 1
3.177 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.178 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.178 * [taylor]: Taking taylor expansion of 1/4 in y
3.178 * [backup-simplify]: Simplify 1/4 into 1/4
3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.178 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.178 * [taylor]: Taking taylor expansion of y in y
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 1 into 1
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.179 * [backup-simplify]: Simplify (* 1 1) into 1
3.179 * [backup-simplify]: Simplify (/ 1 1) into 1
3.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.179 * [taylor]: Taking taylor expansion of 1/4 in y
3.179 * [backup-simplify]: Simplify 1/4 into 1/4
3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.179 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.179 * [taylor]: Taking taylor expansion of z in y
3.179 * [backup-simplify]: Simplify z into z
3.179 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.179 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.179 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.180 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.181 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.191 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.194 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.195 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.196 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.197 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.197 * [taylor]: Taking taylor expansion of 0 in z
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [taylor]: Taking taylor expansion of 0 in z
3.197 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.199 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.199 * [backup-simplify]: Simplify (+ 0 0) into 0
3.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.201 * [taylor]: Taking taylor expansion of 0 in z
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [taylor]: Taking taylor expansion of 0 in z
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [taylor]: Taking taylor expansion of 0 in z
3.201 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
3.205 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.205 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.205 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.205 * [taylor]: Taking taylor expansion of y in z
3.205 * [backup-simplify]: Simplify y into y
3.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.205 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.205 * [taylor]: Taking taylor expansion of x in z
3.205 * [backup-simplify]: Simplify x into x
3.205 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.205 * [taylor]: Taking taylor expansion of z in z
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.205 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.205 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.205 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.206 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.206 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.206 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.207 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.207 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.207 * [taylor]: Taking taylor expansion of y in y
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.207 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.207 * [taylor]: Taking taylor expansion of x in y
3.207 * [backup-simplify]: Simplify x into x
3.207 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.207 * [taylor]: Taking taylor expansion of z in y
3.207 * [backup-simplify]: Simplify z into z
3.207 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.207 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.207 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.208 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.208 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.208 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.208 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.209 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.209 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.209 * [taylor]: Taking taylor expansion of y in x
3.209 * [backup-simplify]: Simplify y into y
3.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.209 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.209 * [taylor]: Taking taylor expansion of x in x
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.209 * [taylor]: Taking taylor expansion of z in x
3.209 * [backup-simplify]: Simplify z into z
3.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.209 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.209 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.210 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.210 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.210 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.210 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.211 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.211 * [taylor]: Taking taylor expansion of y in x
3.211 * [backup-simplify]: Simplify y into y
3.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.211 * [taylor]: Taking taylor expansion of x in x
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.211 * [taylor]: Taking taylor expansion of z in x
3.211 * [backup-simplify]: Simplify z into z
3.211 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.211 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.212 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.212 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.212 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.212 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.212 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.213 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.213 * [taylor]: Taking taylor expansion of y in y
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.214 * [taylor]: Taking taylor expansion of z in y
3.214 * [backup-simplify]: Simplify z into z
3.214 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.214 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.214 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.214 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.214 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.214 * [taylor]: Taking taylor expansion of z in z
3.214 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [taylor]: Taking taylor expansion of 0 in y
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [taylor]: Taking taylor expansion of 0 in z
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [taylor]: Taking taylor expansion of 0 in z
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.216 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.217 * [backup-simplify]: Simplify (+ 1 0) into 1
3.217 * [backup-simplify]: Simplify (+ 0 1) into 1
3.218 * [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)))))
3.218 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.218 * [taylor]: Taking taylor expansion of 1/2 in y
3.218 * [backup-simplify]: Simplify 1/2 into 1/2
3.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.218 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.218 * [taylor]: Taking taylor expansion of y in y
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 1 into 1
3.218 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.218 * [taylor]: Taking taylor expansion of z in y
3.218 * [backup-simplify]: Simplify z into z
3.218 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.218 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.219 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.219 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.219 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.220 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.220 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.220 * [taylor]: Taking taylor expansion of 1/2 in z
3.220 * [backup-simplify]: Simplify 1/2 into 1/2
3.220 * [taylor]: Taking taylor expansion of z in z
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [taylor]: Taking taylor expansion of 0 in z
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.222 * [backup-simplify]: Simplify (+ 1 0) into 1
3.223 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.223 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.223 * [taylor]: Taking taylor expansion of 1/2 in z
3.223 * [backup-simplify]: Simplify 1/2 into 1/2
3.223 * [taylor]: Taking taylor expansion of z in z
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 1 into 1
3.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.226 * [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)))))
3.226 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.226 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.226 * [taylor]: Taking taylor expansion of y in z
3.226 * [backup-simplify]: Simplify y into y
3.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.226 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.226 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.226 * [taylor]: Taking taylor expansion of x in z
3.226 * [backup-simplify]: Simplify x into x
3.226 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.226 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.226 * [taylor]: Taking taylor expansion of z in z
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (* 1 1) into 1
3.227 * [backup-simplify]: Simplify (/ 1 1) into 1
3.228 * [backup-simplify]: Simplify (+ 0 1) into 1
3.228 * [backup-simplify]: Simplify (+ 0 1) into 1
3.228 * [backup-simplify]: Simplify (sqrt 1) into 1
3.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.230 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [backup-simplify]: Simplify (+ 0 0) into 0
3.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.231 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.231 * [taylor]: Taking taylor expansion of y in y
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (/ 1 1) into 1
3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.231 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.231 * [taylor]: Taking taylor expansion of x in y
3.231 * [backup-simplify]: Simplify x into x
3.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.231 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.231 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.231 * [taylor]: Taking taylor expansion of z in y
3.231 * [backup-simplify]: Simplify z into z
3.231 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.231 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.232 * [backup-simplify]: Simplify (+ 1 0) into 1
3.232 * [backup-simplify]: Simplify (sqrt 1) into 1
3.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.234 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.234 * [taylor]: Taking taylor expansion of y in x
3.234 * [backup-simplify]: Simplify y into y
3.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.234 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.234 * [taylor]: Taking taylor expansion of x in x
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (* 1 1) into 1
3.234 * [backup-simplify]: Simplify (/ 1 1) into 1
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.234 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.234 * [taylor]: Taking taylor expansion of z in x
3.234 * [backup-simplify]: Simplify z into z
3.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.235 * [backup-simplify]: Simplify (+ 1 0) into 1
3.235 * [backup-simplify]: Simplify (+ 0 1) into 1
3.235 * [backup-simplify]: Simplify (sqrt 1) into 1
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.237 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.237 * [taylor]: Taking taylor expansion of y in x
3.237 * [backup-simplify]: Simplify y into y
3.237 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.237 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.238 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.238 * [taylor]: Taking taylor expansion of z in x
3.238 * [backup-simplify]: Simplify z into z
3.238 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.238 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.238 * [backup-simplify]: Simplify (+ 1 0) into 1
3.238 * [backup-simplify]: Simplify (+ 0 1) into 1
3.239 * [backup-simplify]: Simplify (sqrt 1) into 1
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.244 * [taylor]: Taking taylor expansion of 1 in y
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [taylor]: Taking taylor expansion of 0 in y
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [taylor]: Taking taylor expansion of 1 in z
3.244 * [backup-simplify]: Simplify 1 into 1
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.246 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.247 * [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))))
3.247 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.247 * [taylor]: Taking taylor expansion of 1/2 in y
3.247 * [backup-simplify]: Simplify 1/2 into 1/2
3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.247 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.247 * [taylor]: Taking taylor expansion of y in y
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 1 into 1
3.247 * [backup-simplify]: Simplify (* 1 1) into 1
3.247 * [backup-simplify]: Simplify (/ 1 1) into 1
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.247 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.247 * [taylor]: Taking taylor expansion of z in y
3.247 * [backup-simplify]: Simplify z into z
3.247 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (+ 1 0) into 1
3.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.249 * [taylor]: Taking taylor expansion of 0 in z
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [taylor]: Taking taylor expansion of 0 in z
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [taylor]: Taking taylor expansion of 0 in z
3.249 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.251 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.252 * [taylor]: Taking taylor expansion of 0 in y
3.252 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.254 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.254 * [taylor]: Taking taylor expansion of 1/2 in z
3.254 * [backup-simplify]: Simplify 1/2 into 1/2
3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.254 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.254 * [taylor]: Taking taylor expansion of z in z
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [backup-simplify]: Simplify (* 1 1) into 1
3.255 * [backup-simplify]: Simplify (/ 1 1) into 1
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [taylor]: Taking taylor expansion of 0 in z
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [taylor]: Taking taylor expansion of 0 in z
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.261 * [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))))))
3.261 * [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
3.261 * [taylor]: Taking taylor expansion of -1/2 in y
3.261 * [backup-simplify]: Simplify -1/2 into -1/2
3.261 * [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
3.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.262 * [taylor]: Taking taylor expansion of 1/2 in y
3.262 * [backup-simplify]: Simplify 1/2 into 1/2
3.262 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.262 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.262 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.262 * [taylor]: Taking taylor expansion of z in y
3.262 * [backup-simplify]: Simplify z into z
3.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.262 * [taylor]: Taking taylor expansion of y in y
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.262 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.263 * [taylor]: Taking taylor expansion of 1/4 in y
3.263 * [backup-simplify]: Simplify 1/4 into 1/4
3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.263 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.263 * [taylor]: Taking taylor expansion of y in y
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify (* 1 1) into 1
3.263 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [backup-simplify]: Simplify (/ 1 1) into 1
3.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.264 * [taylor]: Taking taylor expansion of 1/4 in y
3.264 * [backup-simplify]: Simplify 1/4 into 1/4
3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.264 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.264 * [taylor]: Taking taylor expansion of z in y
3.264 * [backup-simplify]: Simplify z into z
3.264 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.264 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.264 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.266 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.276 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.278 * [backup-simplify]: Simplify (+ 0 0) into 0
3.278 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.280 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.281 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.282 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.282 * [taylor]: Taking taylor expansion of 0 in z
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [taylor]: Taking taylor expansion of 0 in z
3.282 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.286 * [taylor]: Taking taylor expansion of 0 in z
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [taylor]: Taking taylor expansion of 0 in z
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [taylor]: Taking taylor expansion of 0 in z
3.286 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.289 * [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)))))
3.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.290 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.290 * [taylor]: Taking taylor expansion of y in z
3.290 * [backup-simplify]: Simplify y into y
3.290 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.290 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.290 * [taylor]: Taking taylor expansion of x in z
3.290 * [backup-simplify]: Simplify x into x
3.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.290 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.290 * [taylor]: Taking taylor expansion of z in z
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 1 into 1
3.291 * [backup-simplify]: Simplify (* 1 1) into 1
3.291 * [backup-simplify]: Simplify (/ 1 1) into 1
3.291 * [backup-simplify]: Simplify (+ 0 1) into 1
3.292 * [backup-simplify]: Simplify (+ 0 1) into 1
3.292 * [backup-simplify]: Simplify (sqrt 1) into 1
3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (+ 0 0) into 0
3.294 * [backup-simplify]: Simplify (+ 0 0) into 0
3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.295 * [taylor]: Taking taylor expansion of y in y
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 1 into 1
3.296 * [backup-simplify]: Simplify (* 1 1) into 1
3.296 * [backup-simplify]: Simplify (/ 1 1) into 1
3.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.296 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.296 * [taylor]: Taking taylor expansion of x in y
3.296 * [backup-simplify]: Simplify x into x
3.296 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.296 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.297 * [taylor]: Taking taylor expansion of z in y
3.297 * [backup-simplify]: Simplify z into z
3.297 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.297 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.297 * [backup-simplify]: Simplify (+ 1 0) into 1
3.297 * [backup-simplify]: Simplify (sqrt 1) into 1
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.300 * [taylor]: Taking taylor expansion of y in x
3.300 * [backup-simplify]: Simplify y into y
3.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.301 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.301 * [taylor]: Taking taylor expansion of x in x
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (* 1 1) into 1
3.301 * [backup-simplify]: Simplify (/ 1 1) into 1
3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.301 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.301 * [taylor]: Taking taylor expansion of z in x
3.302 * [backup-simplify]: Simplify z into z
3.302 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.302 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.302 * [backup-simplify]: Simplify (+ 1 0) into 1
3.303 * [backup-simplify]: Simplify (+ 0 1) into 1
3.303 * [backup-simplify]: Simplify (sqrt 1) into 1
3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.306 * [taylor]: Taking taylor expansion of y in x
3.306 * [backup-simplify]: Simplify y into y
3.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.307 * [taylor]: Taking taylor expansion of x in x
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.308 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.308 * [taylor]: Taking taylor expansion of z in x
3.308 * [backup-simplify]: Simplify z into z
3.308 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.308 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.308 * [backup-simplify]: Simplify (+ 1 0) into 1
3.309 * [backup-simplify]: Simplify (+ 0 1) into 1
3.309 * [backup-simplify]: Simplify (sqrt 1) into 1
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.312 * [taylor]: Taking taylor expansion of 1 in y
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [taylor]: Taking taylor expansion of 0 in y
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [taylor]: Taking taylor expansion of 1 in z
3.312 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.314 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.316 * [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))))
3.316 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.316 * [taylor]: Taking taylor expansion of 1/2 in y
3.316 * [backup-simplify]: Simplify 1/2 into 1/2
3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.316 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.316 * [taylor]: Taking taylor expansion of y in y
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (* 1 1) into 1
3.317 * [backup-simplify]: Simplify (/ 1 1) into 1
3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.317 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.317 * [taylor]: Taking taylor expansion of z in y
3.317 * [backup-simplify]: Simplify z into z
3.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.317 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify (+ 0 0) into 0
3.319 * [backup-simplify]: Simplify (+ 1 0) into 1
3.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.320 * [taylor]: Taking taylor expansion of 0 in z
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [taylor]: Taking taylor expansion of 0 in z
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [taylor]: Taking taylor expansion of 0 in z
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.322 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.323 * [taylor]: Taking taylor expansion of 0 in y
3.323 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.325 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.325 * [taylor]: Taking taylor expansion of 1/2 in z
3.325 * [backup-simplify]: Simplify 1/2 into 1/2
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.325 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.325 * [taylor]: Taking taylor expansion of z in z
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify 1 into 1
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [taylor]: Taking taylor expansion of 0 in z
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [taylor]: Taking taylor expansion of 0 in z
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.331 * [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))))))
3.331 * [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
3.331 * [taylor]: Taking taylor expansion of -1/2 in y
3.331 * [backup-simplify]: Simplify -1/2 into -1/2
3.331 * [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
3.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.331 * [taylor]: Taking taylor expansion of 1/2 in y
3.331 * [backup-simplify]: Simplify 1/2 into 1/2
3.331 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.331 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.331 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.331 * [taylor]: Taking taylor expansion of z in y
3.331 * [backup-simplify]: Simplify z into z
3.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.331 * [taylor]: Taking taylor expansion of y in y
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.331 * [backup-simplify]: Simplify (* 1 1) into 1
3.331 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.331 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.331 * [taylor]: Taking taylor expansion of 1/4 in y
3.331 * [backup-simplify]: Simplify 1/4 into 1/4
3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.332 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.332 * [taylor]: Taking taylor expansion of y in y
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify 1 into 1
3.332 * [backup-simplify]: Simplify (* 1 1) into 1
3.332 * [backup-simplify]: Simplify (* 1 1) into 1
3.332 * [backup-simplify]: Simplify (/ 1 1) into 1
3.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.332 * [taylor]: Taking taylor expansion of 1/4 in y
3.332 * [backup-simplify]: Simplify 1/4 into 1/4
3.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.332 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.332 * [taylor]: Taking taylor expansion of z in y
3.332 * [backup-simplify]: Simplify z into z
3.332 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.332 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.333 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.333 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.333 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ 0 0) into 0
3.339 * [backup-simplify]: Simplify (+ 0 0) into 0
3.340 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.340 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.341 * [backup-simplify]: Simplify (+ 0 0) into 0
3.341 * [backup-simplify]: Simplify (+ 0 0) into 0
3.342 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.342 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.342 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.343 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.343 * [taylor]: Taking taylor expansion of 0 in z
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [taylor]: Taking taylor expansion of 0 in z
3.343 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.344 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.345 * [taylor]: Taking taylor expansion of 0 in z
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [taylor]: Taking taylor expansion of 0 in z
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [taylor]: Taking taylor expansion of 0 in z
3.345 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.347 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.348 * [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))
3.348 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
3.348 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
3.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.348 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.348 * [taylor]: Taking taylor expansion of y in z
3.348 * [backup-simplify]: Simplify y into y
3.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.348 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.348 * [taylor]: Taking taylor expansion of x in z
3.348 * [backup-simplify]: Simplify x into x
3.348 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.348 * [taylor]: Taking taylor expansion of z in z
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 1 into 1
3.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.348 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.348 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.348 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.348 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.348 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.348 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.349 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.349 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.350 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.350 * [taylor]: Taking taylor expansion of y in y
3.350 * [backup-simplify]: Simplify 0 into 0
3.350 * [backup-simplify]: Simplify 1 into 1
3.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.350 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.350 * [taylor]: Taking taylor expansion of x in y
3.350 * [backup-simplify]: Simplify x into x
3.350 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.350 * [taylor]: Taking taylor expansion of z in y
3.350 * [backup-simplify]: Simplify z into z
3.350 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.351 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.351 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.351 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.351 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.351 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.351 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.352 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.352 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.352 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.353 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.354 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
3.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.354 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.354 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.354 * [taylor]: Taking taylor expansion of y in x
3.354 * [backup-simplify]: Simplify y into y
3.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.354 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.354 * [taylor]: Taking taylor expansion of x in x
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.354 * [taylor]: Taking taylor expansion of z in x
3.354 * [backup-simplify]: Simplify z into z
3.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.354 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.354 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.354 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.354 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.355 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.355 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.356 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.356 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.356 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.357 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.357 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.357 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.357 * [taylor]: Taking taylor expansion of y in x
3.357 * [backup-simplify]: Simplify y into y
3.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.357 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.357 * [taylor]: Taking taylor expansion of x in x
3.357 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify 1 into 1
3.357 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.357 * [taylor]: Taking taylor expansion of z in x
3.357 * [backup-simplify]: Simplify z into z
3.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.357 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.357 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.358 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.358 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.358 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.358 * [backup-simplify]: Simplify (+ 0 0) into 0
3.359 * [backup-simplify]: Simplify (+ 0 0) into 0
3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.359 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.359 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.359 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.360 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.361 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
3.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
3.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.361 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.361 * [taylor]: Taking taylor expansion of y in y
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 1 into 1
3.361 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.361 * [taylor]: Taking taylor expansion of z in y
3.361 * [backup-simplify]: Simplify z into z
3.361 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.362 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.362 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.362 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.368 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.369 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.369 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.369 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.370 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.371 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
3.371 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
3.371 * [taylor]: Taking taylor expansion of z in z
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.371 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.371 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.372 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.373 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.375 * [taylor]: Taking taylor expansion of 0 in y
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [taylor]: Taking taylor expansion of 0 in z
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.376 * [taylor]: Taking taylor expansion of 0 in z
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
3.379 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.380 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.381 * [backup-simplify]: Simplify (* 1 1) into 1
3.381 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.382 * [backup-simplify]: Simplify (+ 1 0) into 1
3.382 * [backup-simplify]: Simplify (+ 0 1) into 1
3.383 * [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)))))
3.384 * [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)))
3.385 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
3.385 * [taylor]: Taking taylor expansion of 1/2 in y
3.385 * [backup-simplify]: Simplify 1/2 into 1/2
3.385 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
3.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.385 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.385 * [taylor]: Taking taylor expansion of y in y
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 1 into 1
3.385 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.385 * [taylor]: Taking taylor expansion of z in y
3.385 * [backup-simplify]: Simplify z into z
3.385 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.385 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.385 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.385 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.385 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.386 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.386 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.386 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.387 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.388 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
3.388 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
3.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
3.389 * [taylor]: Taking taylor expansion of 1/2 in z
3.389 * [backup-simplify]: Simplify 1/2 into 1/2
3.389 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
3.389 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.389 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.389 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.389 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.390 * [taylor]: Taking taylor expansion of z in z
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 1 into 1
3.391 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [taylor]: Taking taylor expansion of 0 in z
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.395 * [backup-simplify]: Simplify (* 1 1) into 1
3.395 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.396 * [backup-simplify]: Simplify (+ 1 0) into 1
3.397 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.398 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
3.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
3.398 * [taylor]: Taking taylor expansion of 1/2 in z
3.398 * [backup-simplify]: Simplify 1/2 into 1/2
3.398 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
3.398 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.398 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.398 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.398 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.399 * [taylor]: Taking taylor expansion of z in z
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
3.407 * [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))
3.407 * [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
3.407 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.407 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.407 * [taylor]: Taking taylor expansion of y in z
3.407 * [backup-simplify]: Simplify y into y
3.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.407 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.407 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.407 * [taylor]: Taking taylor expansion of x in z
3.407 * [backup-simplify]: Simplify x into x
3.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.408 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.408 * [taylor]: Taking taylor expansion of z in z
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (* 1 1) into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.409 * [backup-simplify]: Simplify (+ 0 1) into 1
3.410 * [backup-simplify]: Simplify (+ 0 1) into 1
3.410 * [backup-simplify]: Simplify (sqrt 1) into 1
3.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.413 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.413 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.413 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.414 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.414 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.415 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.415 * [taylor]: Taking taylor expansion of y in y
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 1 into 1
3.415 * [backup-simplify]: Simplify (* 1 1) into 1
3.415 * [backup-simplify]: Simplify (/ 1 1) into 1
3.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.416 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.416 * [taylor]: Taking taylor expansion of x in y
3.416 * [backup-simplify]: Simplify x into x
3.416 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.416 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.416 * [taylor]: Taking taylor expansion of z in y
3.416 * [backup-simplify]: Simplify z into z
3.416 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.416 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.417 * [backup-simplify]: Simplify (+ 1 0) into 1
3.417 * [backup-simplify]: Simplify (sqrt 1) into 1
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.419 * [backup-simplify]: Simplify (+ 0 0) into 0
3.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.420 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.420 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.420 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.421 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.421 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.422 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.422 * [taylor]: Taking taylor expansion of y in x
3.422 * [backup-simplify]: Simplify y into y
3.422 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.422 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.422 * [taylor]: Taking taylor expansion of x in x
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 1 into 1
3.423 * [backup-simplify]: Simplify (* 1 1) into 1
3.423 * [backup-simplify]: Simplify (/ 1 1) into 1
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.423 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.423 * [taylor]: Taking taylor expansion of z in x
3.423 * [backup-simplify]: Simplify z into z
3.423 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.423 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.424 * [backup-simplify]: Simplify (+ 1 0) into 1
3.424 * [backup-simplify]: Simplify (+ 0 1) into 1
3.425 * [backup-simplify]: Simplify (sqrt 1) into 1
3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.429 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.429 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.429 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.429 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.430 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.430 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.430 * [taylor]: Taking taylor expansion of y in x
3.430 * [backup-simplify]: Simplify y into y
3.430 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.431 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.431 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.431 * [taylor]: Taking taylor expansion of x in x
3.431 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify 1 into 1
3.431 * [backup-simplify]: Simplify (* 1 1) into 1
3.432 * [backup-simplify]: Simplify (/ 1 1) into 1
3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.432 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.432 * [taylor]: Taking taylor expansion of z in x
3.432 * [backup-simplify]: Simplify z into z
3.432 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.432 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.432 * [backup-simplify]: Simplify (+ 1 0) into 1
3.433 * [backup-simplify]: Simplify (+ 0 1) into 1
3.433 * [backup-simplify]: Simplify (sqrt 1) into 1
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (+ 0 0) into 0
3.436 * [backup-simplify]: Simplify (+ 0 0) into 0
3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.436 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.436 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.436 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.437 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.439 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
3.439 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.439 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.439 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.439 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.441 * [taylor]: Taking taylor expansion of 0 in y
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.441 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.441 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.441 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.444 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.444 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.445 * [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))))
3.446 * [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))))
3.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
3.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
3.446 * [taylor]: Taking taylor expansion of 1/2 in y
3.446 * [backup-simplify]: Simplify 1/2 into 1/2
3.446 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
3.446 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.446 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.446 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.446 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.446 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.446 * [taylor]: Taking taylor expansion of z in y
3.446 * [backup-simplify]: Simplify z into z
3.447 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.447 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
3.447 * [taylor]: Taking taylor expansion of 1/2 in y
3.447 * [backup-simplify]: Simplify 1/2 into 1/2
3.447 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
3.447 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.447 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.447 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.447 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.448 * [taylor]: Taking taylor expansion of y in y
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [taylor]: Taking taylor expansion of 0 in z
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [taylor]: Taking taylor expansion of 0 in z
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [taylor]: Taking taylor expansion of 0 in z
3.450 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.453 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.455 * [taylor]: Taking taylor expansion of 0 in y
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
3.458 * [taylor]: Taking taylor expansion of 1/2 in z
3.458 * [backup-simplify]: Simplify 1/2 into 1/2
3.458 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
3.458 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.458 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.459 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.459 * [taylor]: Taking taylor expansion of z in z
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [backup-simplify]: Simplify (* 1 1) into 1
3.460 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [taylor]: Taking taylor expansion of 0 in z
3.461 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.462 * [taylor]: Taking taylor expansion of 0 in z
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.463 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.465 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.467 * [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))))))
3.468 * [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))))))
3.468 * [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
3.469 * [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
3.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
3.469 * [taylor]: Taking taylor expansion of 1/4 in y
3.469 * [backup-simplify]: Simplify 1/4 into 1/4
3.469 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
3.469 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.469 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.469 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.470 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.470 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.470 * [taylor]: Taking taylor expansion of z in y
3.470 * [backup-simplify]: Simplify z into z
3.470 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.470 * [taylor]: Taking taylor expansion of y in y
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 1 into 1
3.470 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.470 * [backup-simplify]: Simplify (* 1 1) into 1
3.470 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.471 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.471 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
3.471 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
3.471 * [taylor]: Taking taylor expansion of 1/8 in y
3.471 * [backup-simplify]: Simplify 1/8 into 1/8
3.471 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
3.471 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.471 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.471 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.471 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.472 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.472 * [taylor]: Taking taylor expansion of y in y
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 1 into 1
3.473 * [backup-simplify]: Simplify (* 1 1) into 1
3.473 * [backup-simplify]: Simplify (* 1 1) into 1
3.474 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.474 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
3.474 * [taylor]: Taking taylor expansion of 1/8 in y
3.474 * [backup-simplify]: Simplify 1/8 into 1/8
3.474 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
3.474 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.474 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.475 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.475 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.475 * [taylor]: Taking taylor expansion of z in y
3.475 * [backup-simplify]: Simplify z into z
3.475 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.476 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.476 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.477 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.477 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.478 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.491 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.491 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (- 0) into 0
3.491 * [taylor]: Taking taylor expansion of 0 in z
3.491 * [backup-simplify]: Simplify 0 into 0
3.491 * [taylor]: Taking taylor expansion of 0 in z
3.491 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.492 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [taylor]: Taking taylor expansion of 0 in z
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [taylor]: Taking taylor expansion of 0 in z
3.496 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.501 * [taylor]: Taking taylor expansion of 0 in z
3.501 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
3.505 * [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))
3.505 * [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
3.505 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
3.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.505 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.505 * [taylor]: Taking taylor expansion of y in z
3.505 * [backup-simplify]: Simplify y into y
3.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.505 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.505 * [taylor]: Taking taylor expansion of x in z
3.505 * [backup-simplify]: Simplify x into x
3.505 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.505 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.505 * [taylor]: Taking taylor expansion of z in z
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (* 1 1) into 1
3.506 * [backup-simplify]: Simplify (/ 1 1) into 1
3.506 * [backup-simplify]: Simplify (+ 0 1) into 1
3.506 * [backup-simplify]: Simplify (+ 0 1) into 1
3.506 * [backup-simplify]: Simplify (sqrt 1) into 1
3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.508 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.508 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.509 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.509 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
3.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.509 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.509 * [taylor]: Taking taylor expansion of y in y
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (* 1 1) into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.510 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.510 * [taylor]: Taking taylor expansion of x in y
3.510 * [backup-simplify]: Simplify x into x
3.510 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.510 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.510 * [backup-simplify]: Simplify (+ 1 0) into 1
3.510 * [backup-simplify]: Simplify (sqrt 1) into 1
3.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.512 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.512 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.513 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.513 * [taylor]: Taking taylor expansion of y in x
3.513 * [backup-simplify]: Simplify y into y
3.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.513 * [taylor]: Taking taylor expansion of x in x
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.514 * [backup-simplify]: Simplify (* 1 1) into 1
3.514 * [backup-simplify]: Simplify (/ 1 1) into 1
3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.514 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.514 * [taylor]: Taking taylor expansion of z in x
3.514 * [backup-simplify]: Simplify z into z
3.514 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.514 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.514 * [backup-simplify]: Simplify (+ 1 0) into 1
3.515 * [backup-simplify]: Simplify (+ 0 1) into 1
3.515 * [backup-simplify]: Simplify (sqrt 1) into 1
3.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (+ 0 0) into 0
3.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.517 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.517 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.517 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.518 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.518 * [taylor]: Taking taylor expansion of y in x
3.518 * [backup-simplify]: Simplify y into y
3.518 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.518 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.518 * [taylor]: Taking taylor expansion of x in x
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 1 into 1
3.518 * [backup-simplify]: Simplify (* 1 1) into 1
3.518 * [backup-simplify]: Simplify (/ 1 1) into 1
3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.518 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.518 * [taylor]: Taking taylor expansion of z in x
3.518 * [backup-simplify]: Simplify z into z
3.518 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.518 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.519 * [backup-simplify]: Simplify (+ 1 0) into 1
3.519 * [backup-simplify]: Simplify (+ 0 1) into 1
3.519 * [backup-simplify]: Simplify (sqrt 1) into 1
3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.520 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.521 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.521 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.522 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.524 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
3.524 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.524 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.524 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.526 * [taylor]: Taking taylor expansion of 0 in y
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.527 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.527 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.527 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.533 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.534 * [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))))
3.536 * [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))))
3.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
3.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
3.536 * [taylor]: Taking taylor expansion of 1/2 in y
3.536 * [backup-simplify]: Simplify 1/2 into 1/2
3.536 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
3.536 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.536 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.536 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.537 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.538 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.538 * [taylor]: Taking taylor expansion of z in y
3.538 * [backup-simplify]: Simplify z into z
3.538 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.538 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 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 (/ (sqrt 0.3333333333333333) (pow y 2)) in y
3.538 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.538 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.538 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.539 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.540 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.540 * [taylor]: Taking taylor expansion of y in y
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.540 * [backup-simplify]: Simplify (* 1 1) into 1
3.541 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.544 * [backup-simplify]: Simplify (+ 0 0) into 0
3.544 * [taylor]: Taking taylor expansion of 0 in z
3.544 * [backup-simplify]: Simplify 0 into 0
3.545 * [taylor]: Taking taylor expansion of 0 in z
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [taylor]: Taking taylor expansion of 0 in z
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.547 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.549 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.550 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.551 * [taylor]: Taking taylor expansion of 0 in y
3.551 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
3.554 * [taylor]: Taking taylor expansion of 1/2 in z
3.554 * [backup-simplify]: Simplify 1/2 into 1/2
3.555 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
3.555 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.555 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.555 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.555 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.555 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.555 * [taylor]: Taking taylor expansion of z in z
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (* 1 1) into 1
3.556 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [taylor]: Taking taylor expansion of 0 in z
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.558 * [taylor]: Taking taylor expansion of 0 in z
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.563 * [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))))))
3.565 * [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))))))
3.565 * [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
3.565 * [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
3.565 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
3.565 * [taylor]: Taking taylor expansion of 1/4 in y
3.565 * [backup-simplify]: Simplify 1/4 into 1/4
3.565 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
3.565 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.565 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.565 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.566 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.566 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.566 * [taylor]: Taking taylor expansion of z in y
3.566 * [backup-simplify]: Simplify z into z
3.566 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.566 * [taylor]: Taking taylor expansion of y in y
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.566 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.566 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.567 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
3.567 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
3.567 * [taylor]: Taking taylor expansion of 1/8 in y
3.567 * [backup-simplify]: Simplify 1/8 into 1/8
3.567 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
3.567 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.567 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.567 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.567 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.567 * [taylor]: Taking taylor expansion of y in y
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.568 * [backup-simplify]: Simplify (* 1 1) into 1
3.568 * [backup-simplify]: Simplify (* 1 1) into 1
3.568 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.569 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
3.569 * [taylor]: Taking taylor expansion of 1/8 in y
3.569 * [backup-simplify]: Simplify 1/8 into 1/8
3.569 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
3.569 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.569 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.569 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.569 * [taylor]: Taking taylor expansion of z in y
3.569 * [backup-simplify]: Simplify z into z
3.569 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.569 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.570 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.570 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.571 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.571 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.579 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.579 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [backup-simplify]: Simplify (- 0) into 0
3.579 * [taylor]: Taking taylor expansion of 0 in z
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [taylor]: Taking taylor expansion of 0 in z
3.579 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.580 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [taylor]: Taking taylor expansion of 0 in z
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [taylor]: Taking taylor expansion of 0 in z
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.587 * [taylor]: Taking taylor expansion of 0 in z
3.587 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.592 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
3.593 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
3.593 * [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))))
3.593 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.594 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.594 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.594 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.594 * [taylor]: Taking taylor expansion of y in z
3.594 * [backup-simplify]: Simplify y into y
3.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.594 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.594 * [taylor]: Taking taylor expansion of x in z
3.594 * [backup-simplify]: Simplify x into x
3.594 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.594 * [taylor]: Taking taylor expansion of z in z
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.594 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.594 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.594 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.594 * [taylor]: Taking taylor expansion of y in y
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.594 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.594 * [taylor]: Taking taylor expansion of x in y
3.594 * [backup-simplify]: Simplify x into x
3.594 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.594 * [taylor]: Taking taylor expansion of z in y
3.594 * [backup-simplify]: Simplify z into z
3.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.595 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 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 * [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 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.595 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.595 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 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 * [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 (* y y) into (pow y 2)
3.596 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.596 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.596 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.596 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
3.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
3.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.596 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.596 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.596 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.596 * [taylor]: Taking taylor expansion of y in y
3.596 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify 1 into 1
3.596 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.596 * [taylor]: Taking taylor expansion of z in y
3.596 * [backup-simplify]: Simplify z into z
3.596 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.596 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.597 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
3.597 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
3.597 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.597 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.597 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.597 * [taylor]: Taking taylor expansion of z in z
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.597 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
3.599 * [taylor]: Taking taylor expansion of 0 in y
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [taylor]: Taking taylor expansion of 0 in z
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
3.600 * [taylor]: Taking taylor expansion of 0 in z
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.601 * [backup-simplify]: Simplify (* 1 1) into 1
3.601 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.601 * [backup-simplify]: Simplify (+ 1 0) into 1
3.602 * [backup-simplify]: Simplify (+ 0 1) into 1
3.603 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
3.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.603 * [taylor]: Taking taylor expansion of 0 in z
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify (* 1 1) into 1
3.604 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.604 * [backup-simplify]: Simplify (+ 1 0) into 1
3.605 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
3.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify (* 1 1) into 1
3.606 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.607 * [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))))
3.608 * [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)))))
3.608 * [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
3.608 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.608 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.608 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.608 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.608 * [taylor]: Taking taylor expansion of y in z
3.608 * [backup-simplify]: Simplify y into y
3.608 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.608 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.608 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.608 * [taylor]: Taking taylor expansion of x in z
3.608 * [backup-simplify]: Simplify x into x
3.608 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.608 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.608 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.608 * [taylor]: Taking taylor expansion of z in z
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (* 1 1) into 1
3.609 * [backup-simplify]: Simplify (/ 1 1) into 1
3.609 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.609 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.609 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.609 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.609 * [taylor]: Taking taylor expansion of y in y
3.609 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify (* 1 1) into 1
3.610 * [backup-simplify]: Simplify (/ 1 1) into 1
3.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.610 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.610 * [taylor]: Taking taylor expansion of x in y
3.610 * [backup-simplify]: Simplify x into x
3.610 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.610 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.610 * [taylor]: Taking taylor expansion of z in y
3.610 * [backup-simplify]: Simplify z into z
3.610 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.610 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.610 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.610 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.611 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.611 * [taylor]: Taking taylor expansion of y in x
3.611 * [backup-simplify]: Simplify y into y
3.611 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.611 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.611 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.611 * [taylor]: Taking taylor expansion of x in x
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [backup-simplify]: Simplify (* 1 1) into 1
3.611 * [backup-simplify]: Simplify (/ 1 1) into 1
3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.611 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.611 * [taylor]: Taking taylor expansion of z in x
3.611 * [backup-simplify]: Simplify z into z
3.611 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.611 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.611 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.611 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.611 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.612 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.612 * [taylor]: Taking taylor expansion of y in x
3.612 * [backup-simplify]: Simplify y into y
3.612 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.612 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.612 * [taylor]: Taking taylor expansion of x in x
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 1 into 1
3.612 * [backup-simplify]: Simplify (* 1 1) into 1
3.612 * [backup-simplify]: Simplify (/ 1 1) into 1
3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.612 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.612 * [taylor]: Taking taylor expansion of z in x
3.612 * [backup-simplify]: Simplify z into z
3.612 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.612 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.613 * [backup-simplify]: Simplify (+ 1 0) into 1
3.613 * [backup-simplify]: Simplify (+ 0 1) into 1
3.613 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.613 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.613 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.620 * [taylor]: Taking taylor expansion of 0 in y
3.620 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.621 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.622 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.622 * [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))))
3.622 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
3.622 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
3.622 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.622 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.622 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.622 * [taylor]: Taking taylor expansion of y in y
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify 1 into 1
3.623 * [backup-simplify]: Simplify (* 1 1) into 1
3.623 * [backup-simplify]: Simplify (/ 1 1) into 1
3.623 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
3.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.623 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.623 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.623 * [taylor]: Taking taylor expansion of (pow z 2) 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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.623 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.624 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
3.624 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.624 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.624 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.627 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.628 * [taylor]: Taking taylor expansion of 0 in y
3.628 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.630 * [backup-simplify]: Simplify (+ 0 0) into 0
3.630 * [taylor]: Taking taylor expansion of 0 in z
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [taylor]: Taking taylor expansion of 0 in z
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [taylor]: Taking taylor expansion of 0 in z
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.632 * [backup-simplify]: Simplify (+ 0 0) into 0
3.633 * [backup-simplify]: Simplify (+ 0 0) into 0
3.634 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
3.634 * [taylor]: Taking taylor expansion of 0 in y
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.635 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
3.635 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
3.636 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
3.636 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
3.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.636 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.636 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.636 * [taylor]: Taking taylor expansion of z in z
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [backup-simplify]: Simplify 1 into 1
3.636 * [backup-simplify]: Simplify (* 1 1) into 1
3.636 * [backup-simplify]: Simplify (/ 1 1) into 1
3.637 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.637 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.637 * [taylor]: Taking taylor expansion of 0 in z
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [taylor]: Taking taylor expansion of 0 in z
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.637 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.637 * [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))))
3.638 * [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)))))
3.638 * [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
3.638 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.638 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.638 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.638 * [taylor]: Taking taylor expansion of y in z
3.638 * [backup-simplify]: Simplify y into y
3.638 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.638 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.638 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.638 * [taylor]: Taking taylor expansion of x in z
3.638 * [backup-simplify]: Simplify x into x
3.638 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.638 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.638 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.638 * [taylor]: Taking taylor expansion of z in z
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (* 1 1) into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.639 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.639 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.639 * [taylor]: Taking taylor expansion of y in y
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (* 1 1) into 1
3.640 * [backup-simplify]: Simplify (/ 1 1) into 1
3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.640 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.640 * [taylor]: Taking taylor expansion of x in y
3.640 * [backup-simplify]: Simplify x into x
3.640 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.640 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.640 * [taylor]: Taking taylor expansion of z in y
3.640 * [backup-simplify]: Simplify z into z
3.640 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.640 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.640 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.640 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.640 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.640 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.640 * [taylor]: Taking taylor expansion of y in x
3.640 * [backup-simplify]: Simplify y into y
3.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.640 * [taylor]: Taking taylor expansion of x in x
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (* 1 1) into 1
3.641 * [backup-simplify]: Simplify (/ 1 1) into 1
3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.641 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.641 * [taylor]: Taking taylor expansion of z in x
3.641 * [backup-simplify]: Simplify z into z
3.641 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.641 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.641 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.641 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.641 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.641 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.641 * [taylor]: Taking taylor expansion of y in x
3.641 * [backup-simplify]: Simplify y into y
3.641 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.641 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.641 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.641 * [taylor]: Taking taylor expansion of x in x
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (* 1 1) into 1
3.642 * [backup-simplify]: Simplify (/ 1 1) into 1
3.642 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.642 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.642 * [taylor]: Taking taylor expansion of z in x
3.642 * [backup-simplify]: Simplify z into z
3.642 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.642 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.642 * [backup-simplify]: Simplify (+ 1 0) into 1
3.642 * [backup-simplify]: Simplify (+ 0 1) into 1
3.643 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.643 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.643 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ 0 0) into 0
3.644 * [backup-simplify]: Simplify (+ 0 0) into 0
3.645 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.645 * [taylor]: Taking taylor expansion of 0 in y
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
3.646 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.646 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.647 * [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))))
3.647 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
3.647 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
3.647 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.647 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.647 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.647 * [taylor]: Taking taylor expansion of y in y
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify (* 1 1) into 1
3.647 * [backup-simplify]: Simplify (/ 1 1) into 1
3.647 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
3.647 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.647 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.647 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.647 * [taylor]: Taking taylor expansion of z in y
3.647 * [backup-simplify]: Simplify z into z
3.647 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.647 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.648 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.648 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
3.648 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.648 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.648 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.648 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.648 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.651 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.651 * [taylor]: Taking taylor expansion of 0 in y
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.652 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.653 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [taylor]: Taking taylor expansion of 0 in z
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [taylor]: Taking taylor expansion of 0 in z
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [taylor]: Taking taylor expansion of 0 in z
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.655 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.655 * [backup-simplify]: Simplify (+ 0 0) into 0
3.656 * [backup-simplify]: Simplify (+ 0 0) into 0
3.657 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
3.657 * [taylor]: Taking taylor expansion of 0 in y
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.658 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
3.659 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
3.659 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
3.659 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
3.659 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.659 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.659 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.659 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.659 * [taylor]: Taking taylor expansion of z in z
3.659 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify 1 into 1
3.659 * [backup-simplify]: Simplify (* 1 1) into 1
3.659 * [backup-simplify]: Simplify (/ 1 1) into 1
3.660 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.660 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.660 * [taylor]: Taking taylor expansion of 0 in z
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [taylor]: Taking taylor expansion of 0 in z
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.660 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.661 * [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))))
3.661 * * * [progress]: simplifying candidates
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.661 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.662 * * * * [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))>
3.662 * * * * [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))>
3.662 * * * * [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))))))>
3.662 * * * * [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))))))>
3.662 * * * * [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))))))>
3.662 * * * * [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))))))>
3.662 * * * * [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))))>
3.662 * * * * [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))))>
3.663 * * * * [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)))>
3.663 * * * * [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)))>
3.663 * * * * [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)))>
3.663 * * * * [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)))>
3.663 * * * * [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))))))>
3.663 * * * * [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)))))>
3.663 * * * * [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))))))>
3.663 * * * * [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)))>
3.663 * * * * [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)))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.663 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))>
3.664 * * * * [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)))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.664 * * * * [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))))))>
3.665 * * * * [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))))))>
3.665 * * * * [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))))))>
3.665 * * * * [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))))))>
3.665 * * * * [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))))))>
3.665 * * * * [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))))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.665 * * * * [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))))>
3.665 * * * * [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)))))>
3.665 * * * * [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)))))>
3.666 * * * * [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))))>
3.666 * * * * [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)))))>
3.666 * * * * [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)))))>
3.666 * * * * [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))))>
3.666 * * * * [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))))>
3.666 * * * * [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))))>
3.666 * * * * [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)))))>
3.666 * * * * [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)))))>
3.666 * * * * [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)))))>
3.666 * * * * [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)))))>
3.667 * * * * [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)))))>
3.667 * * * * [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)))))>
3.667 * * * * [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)))))>
3.667 * * * * [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)))))>
3.667 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))))>
3.668 * * * * [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)))>
3.668 * * * * [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)))>
3.668 * * * * [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))))))>
3.668 * * * * [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))))>
3.668 * * * * [progress]: [ 130 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ z 3.0))))>
3.668 * * * * [progress]: [ 131 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ x 3.0))))>
3.668 * * * * [progress]: [ 132 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* -1 x) 3.0))))>
3.669 * * * * [progress]: [ 133 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ z 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.669 * * * * [progress]: [ 134 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ x 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.669 * * * * [progress]: [ 135 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* -1 x) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.669 * * * * [progress]: [ 136 / 141 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
3.669 * * * * [progress]: [ 137 / 141 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
3.669 * * * * [progress]: [ 138 / 141 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
3.669 * * * * [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))))))>
3.669 * * * * [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))))))>
3.669 * * * * [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))))))>
3.671 * [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 (* (/ (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))))
  (* (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))))
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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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  (exp (* (/ (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)))) (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)))
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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)))
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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 (+ (+ (* 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))
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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)))
  (+ (* 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))))
3.674 * * [simplify]: iteration 0: 182 enodes
3.791 * * [simplify]: iteration 1: 538 enodes
3.978 * * [simplify]: iteration 2: 1156 enodes
4.843 * * [simplify]: iteration 3: 4206 enodes
5.893 * * [simplify]: iteration complete: 5191 enodes
5.893 * * [simplify]: Extracting #0: cost 60 inf + 0
5.894 * * [simplify]: Extracting #1: cost 447 inf + 46
5.901 * * [simplify]: Extracting #2: cost 1239 inf + 1581
5.920 * * [simplify]: Extracting #3: cost 1370 inf + 14728
5.959 * * [simplify]: Extracting #4: cost 1012 inf + 106737
6.060 * * [simplify]: Extracting #5: cost 249 inf + 391344
6.205 * * [simplify]: Extracting #6: cost 13 inf + 493035
6.367 * * [simplify]: Extracting #7: cost 0 inf + 498187
6.537 * [simplify]: Simplified to:
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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 (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)))))
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  (* (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))))
6.563 * * * [progress]: adding candidates to table
7.340 * * [progress]: iteration 3 / 4
7.340 * * * [progress]: picking best candidate
7.370 * * * * [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))))>
7.370 * * * [progress]: localizing error
7.409 * * * [progress]: generating rewritten candidates
7.409 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
7.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1)
7.480 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
7.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.679 * * * [progress]: generating series expansions
7.679 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
7.679 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.679 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
7.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.679 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.679 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.679 * [taylor]: Taking taylor expansion of y in z
7.679 * [backup-simplify]: Simplify y into y
7.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.679 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.679 * [taylor]: Taking taylor expansion of x in z
7.679 * [backup-simplify]: Simplify x into x
7.679 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.679 * [taylor]: Taking taylor expansion of z in z
7.679 * [backup-simplify]: Simplify 0 into 0
7.679 * [backup-simplify]: Simplify 1 into 1
7.679 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.679 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.679 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.680 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.680 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.680 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.680 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.680 * [backup-simplify]: Simplify (+ 0 0) into 0
7.681 * [backup-simplify]: Simplify (+ 0 0) into 0
7.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.681 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.681 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.681 * [taylor]: Taking taylor expansion of y in y
7.681 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify 1 into 1
7.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.681 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.681 * [taylor]: Taking taylor expansion of x in y
7.681 * [backup-simplify]: Simplify x into x
7.681 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.681 * [taylor]: Taking taylor expansion of z in y
7.681 * [backup-simplify]: Simplify z into z
7.681 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.681 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.681 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.681 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.681 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.681 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.681 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.682 * [backup-simplify]: Simplify (+ 0 0) into 0
7.682 * [backup-simplify]: Simplify (+ 0 0) into 0
7.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.682 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.682 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.682 * [taylor]: Taking taylor expansion of y in x
7.682 * [backup-simplify]: Simplify y into y
7.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.682 * [taylor]: Taking taylor expansion of x in x
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 1 into 1
7.682 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.682 * [taylor]: Taking taylor expansion of z in x
7.682 * [backup-simplify]: Simplify z into z
7.682 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.682 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.682 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.683 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.683 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.683 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.683 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.683 * [backup-simplify]: Simplify (+ 0 0) into 0
7.683 * [backup-simplify]: Simplify (+ 0 0) into 0
7.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.683 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.683 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.684 * [taylor]: Taking taylor expansion of y in x
7.684 * [backup-simplify]: Simplify y into y
7.684 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.684 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.684 * [taylor]: Taking taylor expansion of x in x
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.684 * [taylor]: Taking taylor expansion of z in x
7.684 * [backup-simplify]: Simplify z into z
7.684 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.684 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.684 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.684 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.684 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.684 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.684 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.684 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
7.685 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.685 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.685 * [taylor]: Taking taylor expansion of y in y
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.685 * [taylor]: Taking taylor expansion of z in y
7.685 * [backup-simplify]: Simplify z into z
7.685 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.685 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.685 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
7.685 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
7.685 * [taylor]: Taking taylor expansion of z in z
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify 0 into 0
7.686 * [taylor]: Taking taylor expansion of 0 in y
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [taylor]: Taking taylor expansion of 0 in z
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [taylor]: Taking taylor expansion of 0 in z
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.686 * [backup-simplify]: Simplify (* 1 1) into 1
7.687 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.687 * [backup-simplify]: Simplify (+ 1 0) into 1
7.687 * [backup-simplify]: Simplify (+ 0 1) into 1
7.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
7.688 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
7.688 * [taylor]: Taking taylor expansion of 1/2 in y
7.688 * [backup-simplify]: Simplify 1/2 into 1/2
7.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
7.688 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
7.688 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.688 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.688 * [taylor]: Taking taylor expansion of y in y
7.688 * [backup-simplify]: Simplify 0 into 0
7.688 * [backup-simplify]: Simplify 1 into 1
7.688 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.688 * [taylor]: Taking taylor expansion of z in y
7.688 * [backup-simplify]: Simplify z into z
7.688 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.688 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.688 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.688 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
7.688 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
7.689 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
7.689 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.689 * [taylor]: Taking taylor expansion of 1/2 in z
7.689 * [backup-simplify]: Simplify 1/2 into 1/2
7.689 * [taylor]: Taking taylor expansion of z in z
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [taylor]: Taking taylor expansion of 0 in z
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify (* 1 1) into 1
7.691 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.691 * [backup-simplify]: Simplify (+ 1 0) into 1
7.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
7.692 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.692 * [taylor]: Taking taylor expansion of 1/2 in z
7.692 * [backup-simplify]: Simplify 1/2 into 1/2
7.692 * [taylor]: Taking taylor expansion of z in z
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 1 into 1
7.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
7.693 * [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)))))
7.693 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.693 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.693 * [taylor]: Taking taylor expansion of y in z
7.693 * [backup-simplify]: Simplify y into y
7.693 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.693 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.693 * [taylor]: Taking taylor expansion of x in z
7.693 * [backup-simplify]: Simplify x into x
7.693 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.693 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.693 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.693 * [taylor]: Taking taylor expansion of z in z
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (* 1 1) into 1
7.694 * [backup-simplify]: Simplify (/ 1 1) into 1
7.694 * [backup-simplify]: Simplify (+ 0 1) into 1
7.695 * [backup-simplify]: Simplify (+ 0 1) into 1
7.695 * [backup-simplify]: Simplify (sqrt 1) into 1
7.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.696 * [backup-simplify]: Simplify (+ 0 0) into 0
7.696 * [backup-simplify]: Simplify (+ 0 0) into 0
7.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.697 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.697 * [taylor]: Taking taylor expansion of y in y
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (* 1 1) into 1
7.697 * [backup-simplify]: Simplify (/ 1 1) into 1
7.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.697 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.697 * [taylor]: Taking taylor expansion of x in y
7.697 * [backup-simplify]: Simplify x into x
7.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.697 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.697 * [taylor]: Taking taylor expansion of z in y
7.698 * [backup-simplify]: Simplify z into z
7.698 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.698 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.698 * [backup-simplify]: Simplify (+ 1 0) into 1
7.698 * [backup-simplify]: Simplify (sqrt 1) into 1
7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.700 * [backup-simplify]: Simplify (+ 0 0) into 0
7.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.701 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.701 * [taylor]: Taking taylor expansion of y in x
7.701 * [backup-simplify]: Simplify y into y
7.701 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.701 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.701 * [taylor]: Taking taylor expansion of x in x
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.702 * [backup-simplify]: Simplify (* 1 1) into 1
7.702 * [backup-simplify]: Simplify (/ 1 1) into 1
7.702 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.702 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.702 * [taylor]: Taking taylor expansion of z in x
7.702 * [backup-simplify]: Simplify z into z
7.702 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.702 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.703 * [backup-simplify]: Simplify (+ 1 0) into 1
7.703 * [backup-simplify]: Simplify (+ 0 1) into 1
7.704 * [backup-simplify]: Simplify (sqrt 1) into 1
7.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.705 * [backup-simplify]: Simplify (+ 0 0) into 0
7.706 * [backup-simplify]: Simplify (+ 0 0) into 0
7.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.707 * [taylor]: Taking taylor expansion of y in x
7.707 * [backup-simplify]: Simplify y into y
7.707 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.707 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.707 * [taylor]: Taking taylor expansion of x in x
7.707 * [backup-simplify]: Simplify 0 into 0
7.707 * [backup-simplify]: Simplify 1 into 1
7.708 * [backup-simplify]: Simplify (* 1 1) into 1
7.708 * [backup-simplify]: Simplify (/ 1 1) into 1
7.708 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.708 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.708 * [taylor]: Taking taylor expansion of z in x
7.708 * [backup-simplify]: Simplify z into z
7.708 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.709 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.709 * [backup-simplify]: Simplify (+ 1 0) into 1
7.709 * [backup-simplify]: Simplify (+ 0 1) into 1
7.710 * [backup-simplify]: Simplify (sqrt 1) into 1
7.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.712 * [backup-simplify]: Simplify (+ 0 0) into 0
7.712 * [backup-simplify]: Simplify (+ 0 0) into 0
7.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.713 * [taylor]: Taking taylor expansion of 1 in y
7.713 * [backup-simplify]: Simplify 1 into 1
7.713 * [taylor]: Taking taylor expansion of 0 in y
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [taylor]: Taking taylor expansion of 1 in z
7.713 * [backup-simplify]: Simplify 1 into 1
7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.715 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.715 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.720 * [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))))
7.720 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.720 * [taylor]: Taking taylor expansion of 1/2 in y
7.720 * [backup-simplify]: Simplify 1/2 into 1/2
7.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.720 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.720 * [taylor]: Taking taylor expansion of y in y
7.720 * [backup-simplify]: Simplify 0 into 0
7.720 * [backup-simplify]: Simplify 1 into 1
7.721 * [backup-simplify]: Simplify (* 1 1) into 1
7.721 * [backup-simplify]: Simplify (/ 1 1) into 1
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.721 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.721 * [taylor]: Taking taylor expansion of z in y
7.721 * [backup-simplify]: Simplify z into z
7.721 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.721 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.723 * [backup-simplify]: Simplify (+ 0 0) into 0
7.724 * [backup-simplify]: Simplify (+ 1 0) into 1
7.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.724 * [taylor]: Taking taylor expansion of 0 in z
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [taylor]: Taking taylor expansion of 0 in z
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [taylor]: Taking taylor expansion of 0 in z
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [backup-simplify]: Simplify 1 into 1
7.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.727 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.728 * [backup-simplify]: Simplify (+ 0 0) into 0
7.728 * [backup-simplify]: Simplify (+ 0 0) into 0
7.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.729 * [taylor]: Taking taylor expansion of 0 in y
7.729 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.731 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.732 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.732 * [taylor]: Taking taylor expansion of 1/2 in z
7.732 * [backup-simplify]: Simplify 1/2 into 1/2
7.732 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.732 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.732 * [taylor]: Taking taylor expansion of z in z
7.732 * [backup-simplify]: Simplify 0 into 0
7.732 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (* 1 1) into 1
7.733 * [backup-simplify]: Simplify (/ 1 1) into 1
7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [taylor]: Taking taylor expansion of 0 in z
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [taylor]: Taking taylor expansion of 0 in z
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.740 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.740 * [backup-simplify]: Simplify (+ 0 0) into 0
7.741 * [backup-simplify]: Simplify (+ 0 0) into 0
7.742 * [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))))))
7.742 * [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
7.742 * [taylor]: Taking taylor expansion of -1/2 in y
7.742 * [backup-simplify]: Simplify -1/2 into -1/2
7.742 * [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
7.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.743 * [taylor]: Taking taylor expansion of 1/2 in y
7.743 * [backup-simplify]: Simplify 1/2 into 1/2
7.743 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.743 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.743 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.743 * [taylor]: Taking taylor expansion of z in y
7.743 * [backup-simplify]: Simplify z into z
7.743 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.743 * [taylor]: Taking taylor expansion of y in y
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.743 * [backup-simplify]: Simplify (* 1 1) into 1
7.743 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.743 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.744 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.744 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.744 * [taylor]: Taking taylor expansion of 1/4 in y
7.744 * [backup-simplify]: Simplify 1/4 into 1/4
7.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.744 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.744 * [taylor]: Taking taylor expansion of y in y
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (* 1 1) into 1
7.745 * [backup-simplify]: Simplify (* 1 1) into 1
7.745 * [backup-simplify]: Simplify (/ 1 1) into 1
7.745 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.745 * [taylor]: Taking taylor expansion of 1/4 in y
7.745 * [backup-simplify]: Simplify 1/4 into 1/4
7.745 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.745 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.745 * [taylor]: Taking taylor expansion of z in y
7.745 * [backup-simplify]: Simplify z into z
7.745 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.745 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.745 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.746 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.747 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.757 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.759 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.759 * [backup-simplify]: Simplify (+ 0 0) into 0
7.759 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.762 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.762 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.764 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.764 * [taylor]: Taking taylor expansion of 0 in z
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [taylor]: Taking taylor expansion of 0 in z
7.764 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.766 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.766 * [backup-simplify]: Simplify (+ 0 0) into 0
7.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.768 * [taylor]: Taking taylor expansion of 0 in z
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [taylor]: Taking taylor expansion of 0 in z
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [taylor]: Taking taylor expansion of 0 in z
7.768 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
7.772 * [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)))))
7.772 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.772 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.772 * [taylor]: Taking taylor expansion of y in z
7.772 * [backup-simplify]: Simplify y into y
7.772 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.772 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.772 * [taylor]: Taking taylor expansion of x in z
7.772 * [backup-simplify]: Simplify x into x
7.772 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.773 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.773 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.773 * [taylor]: Taking taylor expansion of z in z
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify 1 into 1
7.773 * [backup-simplify]: Simplify (* 1 1) into 1
7.773 * [backup-simplify]: Simplify (/ 1 1) into 1
7.774 * [backup-simplify]: Simplify (+ 0 1) into 1
7.774 * [backup-simplify]: Simplify (+ 0 1) into 1
7.774 * [backup-simplify]: Simplify (sqrt 1) into 1
7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.776 * [taylor]: Taking taylor expansion of y in y
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify 1 into 1
7.777 * [backup-simplify]: Simplify (* 1 1) into 1
7.777 * [backup-simplify]: Simplify (/ 1 1) into 1
7.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.777 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.777 * [taylor]: Taking taylor expansion of x in y
7.777 * [backup-simplify]: Simplify x into x
7.777 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.777 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.777 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.777 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.777 * [taylor]: Taking taylor expansion of z in y
7.777 * [backup-simplify]: Simplify z into z
7.777 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.777 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.777 * [backup-simplify]: Simplify (+ 1 0) into 1
7.778 * [backup-simplify]: Simplify (sqrt 1) into 1
7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.779 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.779 * [taylor]: Taking taylor expansion of y in x
7.779 * [backup-simplify]: Simplify y into y
7.779 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.780 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.780 * [taylor]: Taking taylor expansion of x in x
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [backup-simplify]: Simplify (* 1 1) into 1
7.780 * [backup-simplify]: Simplify (/ 1 1) into 1
7.780 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.780 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.780 * [taylor]: Taking taylor expansion of z in x
7.780 * [backup-simplify]: Simplify z into z
7.780 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.780 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.780 * [backup-simplify]: Simplify (+ 1 0) into 1
7.781 * [backup-simplify]: Simplify (+ 0 1) into 1
7.781 * [backup-simplify]: Simplify (sqrt 1) into 1
7.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify (+ 0 0) into 0
7.782 * [backup-simplify]: Simplify (+ 0 0) into 0
7.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.783 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.783 * [taylor]: Taking taylor expansion of y in x
7.783 * [backup-simplify]: Simplify y into y
7.783 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.783 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.783 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.783 * [taylor]: Taking taylor expansion of x in x
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 1 into 1
7.783 * [backup-simplify]: Simplify (* 1 1) into 1
7.784 * [backup-simplify]: Simplify (/ 1 1) into 1
7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.784 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.784 * [taylor]: Taking taylor expansion of z in x
7.784 * [backup-simplify]: Simplify z into z
7.784 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.784 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.784 * [backup-simplify]: Simplify (+ 1 0) into 1
7.784 * [backup-simplify]: Simplify (+ 0 1) into 1
7.784 * [backup-simplify]: Simplify (sqrt 1) into 1
7.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.786 * [backup-simplify]: Simplify (+ 0 0) into 0
7.786 * [backup-simplify]: Simplify (+ 0 0) into 0
7.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.786 * [taylor]: Taking taylor expansion of 1 in y
7.786 * [backup-simplify]: Simplify 1 into 1
7.786 * [taylor]: Taking taylor expansion of 0 in y
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [taylor]: Taking taylor expansion of 1 in z
7.786 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.788 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.788 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.788 * [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))))
7.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.789 * [taylor]: Taking taylor expansion of 1/2 in y
7.789 * [backup-simplify]: Simplify 1/2 into 1/2
7.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.789 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.789 * [taylor]: Taking taylor expansion of y in y
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.789 * [backup-simplify]: Simplify (* 1 1) into 1
7.789 * [backup-simplify]: Simplify (/ 1 1) into 1
7.789 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.789 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.789 * [taylor]: Taking taylor expansion of z in y
7.789 * [backup-simplify]: Simplify z into z
7.789 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.789 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.790 * [backup-simplify]: Simplify (+ 0 0) into 0
7.791 * [backup-simplify]: Simplify (+ 1 0) into 1
7.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.791 * [taylor]: Taking taylor expansion of 0 in z
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [taylor]: Taking taylor expansion of 0 in z
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [taylor]: Taking taylor expansion of 0 in z
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.793 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.793 * [backup-simplify]: Simplify (+ 0 0) into 0
7.793 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.794 * [taylor]: Taking taylor expansion of 0 in y
7.794 * [backup-simplify]: Simplify 0 into 0
7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.795 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.795 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.795 * [taylor]: Taking taylor expansion of 1/2 in z
7.795 * [backup-simplify]: Simplify 1/2 into 1/2
7.795 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.795 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.795 * [taylor]: Taking taylor expansion of z in z
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.796 * [backup-simplify]: Simplify (* 1 1) into 1
7.796 * [backup-simplify]: Simplify (/ 1 1) into 1
7.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [taylor]: Taking taylor expansion of 0 in z
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [taylor]: Taking taylor expansion of 0 in z
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.799 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [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))))))
7.801 * [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
7.801 * [taylor]: Taking taylor expansion of -1/2 in y
7.801 * [backup-simplify]: Simplify -1/2 into -1/2
7.801 * [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
7.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.801 * [taylor]: Taking taylor expansion of 1/2 in y
7.801 * [backup-simplify]: Simplify 1/2 into 1/2
7.801 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.801 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.801 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.801 * [taylor]: Taking taylor expansion of z in y
7.801 * [backup-simplify]: Simplify z into z
7.801 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.801 * [taylor]: Taking taylor expansion of y in y
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 1 into 1
7.801 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.802 * [backup-simplify]: Simplify (* 1 1) into 1
7.802 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.802 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.802 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.802 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.802 * [taylor]: Taking taylor expansion of 1/4 in y
7.802 * [backup-simplify]: Simplify 1/4 into 1/4
7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.802 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.802 * [taylor]: Taking taylor expansion of y in y
7.802 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify 1 into 1
7.802 * [backup-simplify]: Simplify (* 1 1) into 1
7.802 * [backup-simplify]: Simplify (* 1 1) into 1
7.802 * [backup-simplify]: Simplify (/ 1 1) into 1
7.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.803 * [taylor]: Taking taylor expansion of 1/4 in y
7.803 * [backup-simplify]: Simplify 1/4 into 1/4
7.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.803 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.803 * [taylor]: Taking taylor expansion of z in y
7.803 * [backup-simplify]: Simplify z into z
7.803 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.803 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.803 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.803 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.804 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.810 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.811 * [backup-simplify]: Simplify (+ 0 0) into 0
7.811 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.812 * [backup-simplify]: Simplify (+ 0 0) into 0
7.812 * [backup-simplify]: Simplify (+ 0 0) into 0
7.812 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.812 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.813 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.813 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.813 * [taylor]: Taking taylor expansion of 0 in z
7.813 * [backup-simplify]: Simplify 0 into 0
7.813 * [taylor]: Taking taylor expansion of 0 in z
7.813 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.815 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.815 * [backup-simplify]: Simplify (+ 0 0) into 0
7.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.816 * [taylor]: Taking taylor expansion of 0 in z
7.816 * [backup-simplify]: Simplify 0 into 0
7.816 * [taylor]: Taking taylor expansion of 0 in z
7.816 * [backup-simplify]: Simplify 0 into 0
7.816 * [taylor]: Taking taylor expansion of 0 in z
7.816 * [backup-simplify]: Simplify 0 into 0
7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
7.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1)
7.818 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.818 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
7.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.818 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.818 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.818 * [taylor]: Taking taylor expansion of y in z
7.818 * [backup-simplify]: Simplify y into y
7.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.818 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.818 * [taylor]: Taking taylor expansion of x in z
7.818 * [backup-simplify]: Simplify x into x
7.818 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.818 * [taylor]: Taking taylor expansion of z in z
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.818 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.818 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.818 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.818 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.818 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.818 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.819 * [backup-simplify]: Simplify (+ 0 0) into 0
7.819 * [backup-simplify]: Simplify (+ 0 0) into 0
7.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.819 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.819 * [taylor]: Taking taylor expansion of y in y
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 1 into 1
7.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.819 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.819 * [taylor]: Taking taylor expansion of x in y
7.819 * [backup-simplify]: Simplify x into x
7.819 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.819 * [taylor]: Taking taylor expansion of z in y
7.819 * [backup-simplify]: Simplify z into z
7.819 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.819 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.819 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.820 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.820 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.820 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.820 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.820 * [backup-simplify]: Simplify (+ 0 0) into 0
7.820 * [backup-simplify]: Simplify (+ 0 0) into 0
7.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.820 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.820 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.820 * [taylor]: Taking taylor expansion of y in x
7.820 * [backup-simplify]: Simplify y into y
7.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.821 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.821 * [taylor]: Taking taylor expansion of x in x
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.821 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.821 * [taylor]: Taking taylor expansion of z in x
7.821 * [backup-simplify]: Simplify z into z
7.821 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.821 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.821 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.821 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.821 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.821 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.821 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.821 * [backup-simplify]: Simplify (+ 0 0) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.822 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.822 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.822 * [taylor]: Taking taylor expansion of y in x
7.822 * [backup-simplify]: Simplify y into y
7.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.822 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.822 * [taylor]: Taking taylor expansion of x in x
7.822 * [backup-simplify]: Simplify 0 into 0
7.822 * [backup-simplify]: Simplify 1 into 1
7.822 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.822 * [taylor]: Taking taylor expansion of z in x
7.822 * [backup-simplify]: Simplify z into z
7.822 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.822 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.822 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.822 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.822 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.822 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.822 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
7.823 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.823 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.823 * [taylor]: Taking taylor expansion of y in y
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.823 * [taylor]: Taking taylor expansion of z in y
7.823 * [backup-simplify]: Simplify z into z
7.823 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.823 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.823 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
7.823 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.824 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
7.824 * [taylor]: Taking taylor expansion of z in z
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 1 into 1
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [taylor]: Taking taylor expansion of 0 in y
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [taylor]: Taking taylor expansion of 0 in z
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [taylor]: Taking taylor expansion of 0 in z
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 1 into 1
7.824 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.825 * [backup-simplify]: Simplify (* 1 1) into 1
7.825 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.825 * [backup-simplify]: Simplify (+ 1 0) into 1
7.825 * [backup-simplify]: Simplify (+ 0 1) into 1
7.826 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
7.826 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
7.826 * [taylor]: Taking taylor expansion of 1/2 in y
7.826 * [backup-simplify]: Simplify 1/2 into 1/2
7.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
7.826 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
7.826 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.826 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.826 * [taylor]: Taking taylor expansion of y in y
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 1 into 1
7.826 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.826 * [taylor]: Taking taylor expansion of z in y
7.826 * [backup-simplify]: Simplify z into z
7.826 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.826 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.826 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.826 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
7.826 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.827 * [backup-simplify]: Simplify (+ 0 0) into 0
7.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
7.827 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
7.827 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.827 * [taylor]: Taking taylor expansion of 1/2 in z
7.827 * [backup-simplify]: Simplify 1/2 into 1/2
7.827 * [taylor]: Taking taylor expansion of z in z
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [taylor]: Taking taylor expansion of 0 in z
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.829 * [backup-simplify]: Simplify (+ 1 0) into 1
7.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
7.829 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.829 * [taylor]: Taking taylor expansion of 1/2 in z
7.829 * [backup-simplify]: Simplify 1/2 into 1/2
7.829 * [taylor]: Taking taylor expansion of z in z
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.830 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
7.835 * [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)))))
7.835 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.835 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.835 * [taylor]: Taking taylor expansion of y in z
7.835 * [backup-simplify]: Simplify y into y
7.835 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.835 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.835 * [taylor]: Taking taylor expansion of x in z
7.835 * [backup-simplify]: Simplify x into x
7.835 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.835 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.835 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.835 * [taylor]: Taking taylor expansion of z in z
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 1 into 1
7.835 * [backup-simplify]: Simplify (* 1 1) into 1
7.836 * [backup-simplify]: Simplify (/ 1 1) into 1
7.836 * [backup-simplify]: Simplify (+ 0 1) into 1
7.836 * [backup-simplify]: Simplify (+ 0 1) into 1
7.837 * [backup-simplify]: Simplify (sqrt 1) into 1
7.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.838 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.838 * [taylor]: Taking taylor expansion of y in y
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (* 1 1) into 1
7.839 * [backup-simplify]: Simplify (/ 1 1) into 1
7.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.839 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.839 * [taylor]: Taking taylor expansion of x in y
7.839 * [backup-simplify]: Simplify x into x
7.839 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.839 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.839 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.839 * [taylor]: Taking taylor expansion of z in y
7.839 * [backup-simplify]: Simplify z into z
7.839 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.839 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.840 * [backup-simplify]: Simplify (+ 1 0) into 1
7.840 * [backup-simplify]: Simplify (sqrt 1) into 1
7.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.841 * [backup-simplify]: Simplify (+ 0 0) into 0
7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.841 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.841 * [taylor]: Taking taylor expansion of y in x
7.841 * [backup-simplify]: Simplify y into y
7.841 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.842 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.842 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.842 * [taylor]: Taking taylor expansion of x in x
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [backup-simplify]: Simplify (* 1 1) into 1
7.842 * [backup-simplify]: Simplify (/ 1 1) into 1
7.842 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.842 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.842 * [taylor]: Taking taylor expansion of z in x
7.842 * [backup-simplify]: Simplify z into z
7.842 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.842 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.843 * [backup-simplify]: Simplify (+ 1 0) into 1
7.843 * [backup-simplify]: Simplify (+ 0 1) into 1
7.843 * [backup-simplify]: Simplify (sqrt 1) into 1
7.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.845 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.845 * [taylor]: Taking taylor expansion of y in x
7.845 * [backup-simplify]: Simplify y into y
7.845 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.845 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.845 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.845 * [taylor]: Taking taylor expansion of x in x
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [backup-simplify]: Simplify (* 1 1) into 1
7.846 * [backup-simplify]: Simplify (/ 1 1) into 1
7.846 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.846 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.846 * [taylor]: Taking taylor expansion of z in x
7.846 * [backup-simplify]: Simplify z into z
7.846 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.846 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.846 * [backup-simplify]: Simplify (+ 1 0) into 1
7.846 * [backup-simplify]: Simplify (+ 0 1) into 1
7.847 * [backup-simplify]: Simplify (sqrt 1) into 1
7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.848 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.848 * [taylor]: Taking taylor expansion of 1 in y
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [taylor]: Taking taylor expansion of 0 in y
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [taylor]: Taking taylor expansion of 1 in z
7.848 * [backup-simplify]: Simplify 1 into 1
7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.850 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.851 * [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))))
7.851 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.851 * [taylor]: Taking taylor expansion of 1/2 in y
7.851 * [backup-simplify]: Simplify 1/2 into 1/2
7.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.851 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.851 * [taylor]: Taking taylor expansion of y in y
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [backup-simplify]: Simplify (* 1 1) into 1
7.851 * [backup-simplify]: Simplify (/ 1 1) into 1
7.851 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.851 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.851 * [taylor]: Taking taylor expansion of z in y
7.851 * [backup-simplify]: Simplify z into z
7.851 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.851 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.853 * [backup-simplify]: Simplify (+ 1 0) into 1
7.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.853 * [taylor]: Taking taylor expansion of 0 in z
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [taylor]: Taking taylor expansion of 0 in z
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [taylor]: Taking taylor expansion of 0 in z
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.855 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.856 * [taylor]: Taking taylor expansion of 0 in y
7.856 * [backup-simplify]: Simplify 0 into 0
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.857 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.857 * [taylor]: Taking taylor expansion of 1/2 in z
7.857 * [backup-simplify]: Simplify 1/2 into 1/2
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.858 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.858 * [taylor]: Taking taylor expansion of z in z
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify 1 into 1
7.858 * [backup-simplify]: Simplify (* 1 1) into 1
7.858 * [backup-simplify]: Simplify (/ 1 1) into 1
7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [taylor]: Taking taylor expansion of 0 in z
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [taylor]: Taking taylor expansion of 0 in z
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.862 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [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))))))
7.863 * [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
7.863 * [taylor]: Taking taylor expansion of -1/2 in y
7.863 * [backup-simplify]: Simplify -1/2 into -1/2
7.863 * [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
7.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.863 * [taylor]: Taking taylor expansion of 1/2 in y
7.863 * [backup-simplify]: Simplify 1/2 into 1/2
7.863 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.863 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.863 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.863 * [taylor]: Taking taylor expansion of z in y
7.863 * [backup-simplify]: Simplify z into z
7.863 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.863 * [taylor]: Taking taylor expansion of y in y
7.863 * [backup-simplify]: Simplify 0 into 0
7.863 * [backup-simplify]: Simplify 1 into 1
7.863 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.864 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.864 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.864 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.864 * [taylor]: Taking taylor expansion of 1/4 in y
7.864 * [backup-simplify]: Simplify 1/4 into 1/4
7.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.864 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.864 * [taylor]: Taking taylor expansion of y in y
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.865 * [backup-simplify]: Simplify (/ 1 1) into 1
7.865 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.865 * [taylor]: Taking taylor expansion of 1/4 in y
7.865 * [backup-simplify]: Simplify 1/4 into 1/4
7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.865 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.865 * [taylor]: Taking taylor expansion of z in y
7.865 * [backup-simplify]: Simplify z into z
7.865 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.865 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.865 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.865 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.866 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.873 * [backup-simplify]: Simplify (+ 0 0) into 0
7.874 * [backup-simplify]: Simplify (+ 0 0) into 0
7.874 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.875 * [backup-simplify]: Simplify (+ 0 0) into 0
7.875 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.875 * [backup-simplify]: Simplify (+ 0 0) into 0
7.876 * [backup-simplify]: Simplify (+ 0 0) into 0
7.876 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.876 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.876 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.877 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.877 * [taylor]: Taking taylor expansion of 0 in z
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [taylor]: Taking taylor expansion of 0 in z
7.877 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.880 * [taylor]: Taking taylor expansion of 0 in z
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [taylor]: Taking taylor expansion of 0 in z
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [taylor]: Taking taylor expansion of 0 in z
7.880 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
7.882 * [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)))))
7.882 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.882 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.882 * [taylor]: Taking taylor expansion of y in z
7.882 * [backup-simplify]: Simplify y into y
7.882 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.882 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.882 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.882 * [taylor]: Taking taylor expansion of x in z
7.882 * [backup-simplify]: Simplify x into x
7.882 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.883 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.883 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.883 * [taylor]: Taking taylor expansion of z in z
7.883 * [backup-simplify]: Simplify 0 into 0
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify (* 1 1) into 1
7.883 * [backup-simplify]: Simplify (/ 1 1) into 1
7.883 * [backup-simplify]: Simplify (+ 0 1) into 1
7.884 * [backup-simplify]: Simplify (+ 0 1) into 1
7.884 * [backup-simplify]: Simplify (sqrt 1) into 1
7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.886 * [taylor]: Taking taylor expansion of y in y
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 1 into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.886 * [backup-simplify]: Simplify (/ 1 1) into 1
7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.886 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.887 * [taylor]: Taking taylor expansion of x in y
7.887 * [backup-simplify]: Simplify x into x
7.887 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.887 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.887 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.887 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.887 * [taylor]: Taking taylor expansion of z in y
7.887 * [backup-simplify]: Simplify z into z
7.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.887 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.887 * [backup-simplify]: Simplify (+ 1 0) into 1
7.887 * [backup-simplify]: Simplify (sqrt 1) into 1
7.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.888 * [backup-simplify]: Simplify (+ 0 0) into 0
7.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.889 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.889 * [taylor]: Taking taylor expansion of y in x
7.889 * [backup-simplify]: Simplify y into y
7.889 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.889 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.889 * [taylor]: Taking taylor expansion of x in x
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.889 * [backup-simplify]: Simplify (* 1 1) into 1
7.890 * [backup-simplify]: Simplify (/ 1 1) into 1
7.890 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.890 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.890 * [taylor]: Taking taylor expansion of z in x
7.890 * [backup-simplify]: Simplify z into z
7.890 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.890 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.891 * [backup-simplify]: Simplify (+ 1 0) into 1
7.891 * [backup-simplify]: Simplify (+ 0 1) into 1
7.891 * [backup-simplify]: Simplify (sqrt 1) into 1
7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.893 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.893 * [taylor]: Taking taylor expansion of y in x
7.893 * [backup-simplify]: Simplify y into y
7.893 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.893 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.893 * [taylor]: Taking taylor expansion of x in x
7.893 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.894 * [backup-simplify]: Simplify (* 1 1) into 1
7.894 * [backup-simplify]: Simplify (/ 1 1) into 1
7.894 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.894 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.894 * [taylor]: Taking taylor expansion of z in x
7.894 * [backup-simplify]: Simplify z into z
7.894 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.894 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.894 * [backup-simplify]: Simplify (+ 1 0) into 1
7.895 * [backup-simplify]: Simplify (+ 0 1) into 1
7.895 * [backup-simplify]: Simplify (sqrt 1) into 1
7.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.897 * [taylor]: Taking taylor expansion of 1 in y
7.897 * [backup-simplify]: Simplify 1 into 1
7.897 * [taylor]: Taking taylor expansion of 0 in y
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [taylor]: Taking taylor expansion of 1 in z
7.897 * [backup-simplify]: Simplify 1 into 1
7.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.898 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.899 * [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))))
7.899 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.899 * [taylor]: Taking taylor expansion of 1/2 in y
7.899 * [backup-simplify]: Simplify 1/2 into 1/2
7.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.899 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.899 * [taylor]: Taking taylor expansion of y in y
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.899 * [backup-simplify]: Simplify (* 1 1) into 1
7.900 * [backup-simplify]: Simplify (/ 1 1) into 1
7.900 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.900 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.900 * [taylor]: Taking taylor expansion of z in y
7.900 * [backup-simplify]: Simplify z into z
7.900 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.900 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.901 * [backup-simplify]: Simplify (+ 0 0) into 0
7.901 * [backup-simplify]: Simplify (+ 1 0) into 1
7.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.902 * [taylor]: Taking taylor expansion of 0 in z
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [taylor]: Taking taylor expansion of 0 in z
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [taylor]: Taking taylor expansion of 0 in z
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.904 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.906 * [taylor]: Taking taylor expansion of 0 in y
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.908 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.908 * [taylor]: Taking taylor expansion of 1/2 in z
7.908 * [backup-simplify]: Simplify 1/2 into 1/2
7.908 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.908 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.908 * [taylor]: Taking taylor expansion of z in z
7.908 * [backup-simplify]: Simplify 0 into 0
7.908 * [backup-simplify]: Simplify 1 into 1
7.909 * [backup-simplify]: Simplify (* 1 1) into 1
7.909 * [backup-simplify]: Simplify (/ 1 1) into 1
7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [taylor]: Taking taylor expansion of 0 in z
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [taylor]: Taking taylor expansion of 0 in z
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.915 * [backup-simplify]: Simplify (+ 0 0) into 0
7.915 * [backup-simplify]: Simplify (+ 0 0) into 0
7.917 * [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))))))
7.917 * [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
7.917 * [taylor]: Taking taylor expansion of -1/2 in y
7.917 * [backup-simplify]: Simplify -1/2 into -1/2
7.917 * [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
7.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.917 * [taylor]: Taking taylor expansion of 1/2 in y
7.917 * [backup-simplify]: Simplify 1/2 into 1/2
7.917 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.917 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.917 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.917 * [taylor]: Taking taylor expansion of z in y
7.917 * [backup-simplify]: Simplify z into z
7.917 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.917 * [taylor]: Taking taylor expansion of y in y
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.918 * [backup-simplify]: Simplify (* 1 1) into 1
7.918 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.918 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.918 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.918 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.918 * [taylor]: Taking taylor expansion of 1/4 in y
7.918 * [backup-simplify]: Simplify 1/4 into 1/4
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.918 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.918 * [taylor]: Taking taylor expansion of y in y
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (* 1 1) into 1
7.919 * [backup-simplify]: Simplify (* 1 1) into 1
7.919 * [backup-simplify]: Simplify (/ 1 1) into 1
7.919 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.919 * [taylor]: Taking taylor expansion of 1/4 in y
7.919 * [backup-simplify]: Simplify 1/4 into 1/4
7.919 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.919 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.919 * [taylor]: Taking taylor expansion of z in y
7.919 * [backup-simplify]: Simplify z into z
7.919 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.919 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.920 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.920 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.921 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.931 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [backup-simplify]: Simplify (+ 0 0) into 0
7.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.933 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.935 * [backup-simplify]: Simplify (+ 0 0) into 0
7.935 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.935 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.936 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.937 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.937 * [taylor]: Taking taylor expansion of 0 in z
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [taylor]: Taking taylor expansion of 0 in z
7.937 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.947 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.947 * [backup-simplify]: Simplify (+ 0 0) into 0
7.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.949 * [taylor]: Taking taylor expansion of 0 in z
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [taylor]: Taking taylor expansion of 0 in z
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [taylor]: Taking taylor expansion of 0 in z
7.949 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
7.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
7.953 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.953 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
7.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.953 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.953 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.953 * [taylor]: Taking taylor expansion of y in z
7.953 * [backup-simplify]: Simplify y into y
7.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.953 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.953 * [taylor]: Taking taylor expansion of x in z
7.953 * [backup-simplify]: Simplify x into x
7.953 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.953 * [taylor]: Taking taylor expansion of z in z
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify 1 into 1
7.953 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.953 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.954 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.954 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.954 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.954 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.954 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.955 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.955 * [taylor]: Taking taylor expansion of y in y
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify 1 into 1
7.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.955 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.955 * [taylor]: Taking taylor expansion of x in y
7.955 * [backup-simplify]: Simplify x into x
7.955 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.955 * [taylor]: Taking taylor expansion of z in y
7.955 * [backup-simplify]: Simplify z into z
7.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.956 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.956 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.956 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.956 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.956 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.956 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.957 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.957 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.957 * [taylor]: Taking taylor expansion of y in x
7.957 * [backup-simplify]: Simplify y into y
7.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.957 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.957 * [taylor]: Taking taylor expansion of x in x
7.957 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify 1 into 1
7.958 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.958 * [taylor]: Taking taylor expansion of z in x
7.958 * [backup-simplify]: Simplify z into z
7.958 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.958 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.958 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.958 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.958 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.958 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.958 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.959 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.959 * [taylor]: Taking taylor expansion of y in x
7.959 * [backup-simplify]: Simplify y into y
7.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.960 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.960 * [taylor]: Taking taylor expansion of x in x
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.960 * [taylor]: Taking taylor expansion of z in x
7.960 * [backup-simplify]: Simplify z into z
7.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.960 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.960 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.960 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.960 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.960 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
7.962 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.962 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.962 * [taylor]: Taking taylor expansion of y in y
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 1 into 1
7.962 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.962 * [taylor]: Taking taylor expansion of z in y
7.962 * [backup-simplify]: Simplify z into z
7.962 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.962 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.962 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
7.962 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.962 * [backup-simplify]: Simplify (+ 0 0) into 0
7.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
7.963 * [taylor]: Taking taylor expansion of z in z
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [taylor]: Taking taylor expansion of 0 in y
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [taylor]: Taking taylor expansion of 0 in z
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [taylor]: Taking taylor expansion of 0 in z
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.964 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.964 * [backup-simplify]: Simplify (* 1 1) into 1
7.964 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.965 * [backup-simplify]: Simplify (+ 1 0) into 1
7.965 * [backup-simplify]: Simplify (+ 0 1) into 1
7.966 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
7.966 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
7.966 * [taylor]: Taking taylor expansion of 1/2 in y
7.966 * [backup-simplify]: Simplify 1/2 into 1/2
7.966 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
7.966 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
7.966 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.966 * [taylor]: Taking taylor expansion of y in y
7.966 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.967 * [taylor]: Taking taylor expansion of z in y
7.967 * [backup-simplify]: Simplify z into z
7.967 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.967 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.967 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.967 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
7.967 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.967 * [backup-simplify]: Simplify (+ 0 0) into 0
7.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
7.968 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
7.968 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.968 * [taylor]: Taking taylor expansion of 1/2 in z
7.968 * [backup-simplify]: Simplify 1/2 into 1/2
7.968 * [taylor]: Taking taylor expansion of z in z
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.969 * [backup-simplify]: Simplify 0 into 0
7.970 * [taylor]: Taking taylor expansion of 0 in z
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.971 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.971 * [backup-simplify]: Simplify (+ 1 0) into 1
7.972 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
7.972 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.972 * [taylor]: Taking taylor expansion of 1/2 in z
7.972 * [backup-simplify]: Simplify 1/2 into 1/2
7.972 * [taylor]: Taking taylor expansion of z in z
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
7.974 * [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)))))
7.974 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.975 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.975 * [taylor]: Taking taylor expansion of y in z
7.975 * [backup-simplify]: Simplify y into y
7.975 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.975 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.975 * [taylor]: Taking taylor expansion of x in z
7.975 * [backup-simplify]: Simplify x into x
7.975 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.975 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.975 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.975 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.975 * [taylor]: Taking taylor expansion of z in z
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (* 1 1) into 1
7.976 * [backup-simplify]: Simplify (/ 1 1) into 1
7.977 * [backup-simplify]: Simplify (+ 0 1) into 1
7.977 * [backup-simplify]: Simplify (+ 0 1) into 1
7.978 * [backup-simplify]: Simplify (sqrt 1) into 1
7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.979 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.980 * [taylor]: Taking taylor expansion of y in y
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (* 1 1) into 1
7.981 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.981 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.981 * [taylor]: Taking taylor expansion of x in y
7.981 * [backup-simplify]: Simplify x into x
7.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.982 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.982 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.982 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.982 * [taylor]: Taking taylor expansion of z in y
7.982 * [backup-simplify]: Simplify z into z
7.982 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.982 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.982 * [backup-simplify]: Simplify (+ 1 0) into 1
7.983 * [backup-simplify]: Simplify (sqrt 1) into 1
7.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.984 * [backup-simplify]: Simplify (+ 0 0) into 0
7.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.985 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.985 * [taylor]: Taking taylor expansion of y in x
7.985 * [backup-simplify]: Simplify y into y
7.985 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.985 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.985 * [taylor]: Taking taylor expansion of x in x
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (* 1 1) into 1
7.986 * [backup-simplify]: Simplify (/ 1 1) into 1
7.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.986 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.986 * [taylor]: Taking taylor expansion of z in x
7.986 * [backup-simplify]: Simplify z into z
7.986 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.986 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.987 * [backup-simplify]: Simplify (+ 1 0) into 1
7.987 * [backup-simplify]: Simplify (+ 0 1) into 1
7.988 * [backup-simplify]: Simplify (sqrt 1) into 1
7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.989 * [backup-simplify]: Simplify (+ 0 0) into 0
7.990 * [backup-simplify]: Simplify (+ 0 0) into 0
7.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.990 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.990 * [taylor]: Taking taylor expansion of y in x
7.990 * [backup-simplify]: Simplify y into y
7.990 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.990 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.990 * [taylor]: Taking taylor expansion of x in x
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.990 * [backup-simplify]: Simplify (* 1 1) into 1
7.991 * [backup-simplify]: Simplify (/ 1 1) into 1
7.991 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.991 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.991 * [taylor]: Taking taylor expansion of z in x
7.991 * [backup-simplify]: Simplify z into z
7.991 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.991 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.991 * [backup-simplify]: Simplify (+ 1 0) into 1
7.991 * [backup-simplify]: Simplify (+ 0 1) into 1
7.992 * [backup-simplify]: Simplify (sqrt 1) into 1
7.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.993 * [backup-simplify]: Simplify (+ 0 0) into 0
7.993 * [backup-simplify]: Simplify (+ 0 0) into 0
7.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.993 * [taylor]: Taking taylor expansion of 1 in y
7.993 * [backup-simplify]: Simplify 1 into 1
7.994 * [taylor]: Taking taylor expansion of 0 in y
7.994 * [backup-simplify]: Simplify 0 into 0
7.994 * [taylor]: Taking taylor expansion of 1 in z
7.994 * [backup-simplify]: Simplify 1 into 1
7.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.995 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.995 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.996 * [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))))
7.996 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.996 * [taylor]: Taking taylor expansion of 1/2 in y
7.996 * [backup-simplify]: Simplify 1/2 into 1/2
7.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.996 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.996 * [taylor]: Taking taylor expansion of y in y
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (* 1 1) into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.996 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.996 * [taylor]: Taking taylor expansion of z in y
7.996 * [backup-simplify]: Simplify z into z
7.996 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.996 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (+ 1 0) into 1
7.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.999 * [taylor]: Taking taylor expansion of 0 in z
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [taylor]: Taking taylor expansion of 0 in z
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [taylor]: Taking taylor expansion of 0 in z
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.001 * [taylor]: Taking taylor expansion of 0 in y
8.001 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.003 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.003 * [taylor]: Taking taylor expansion of 1/2 in z
8.003 * [backup-simplify]: Simplify 1/2 into 1/2
8.003 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.003 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.003 * [taylor]: Taking taylor expansion of z in z
8.003 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify 1 into 1
8.003 * [backup-simplify]: Simplify (* 1 1) into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [taylor]: Taking taylor expansion of 0 in z
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [taylor]: Taking taylor expansion of 0 in z
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.008 * [backup-simplify]: Simplify (+ 0 0) into 0
8.009 * [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))))))
8.009 * [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
8.009 * [taylor]: Taking taylor expansion of -1/2 in y
8.009 * [backup-simplify]: Simplify -1/2 into -1/2
8.009 * [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
8.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.009 * [taylor]: Taking taylor expansion of 1/2 in y
8.009 * [backup-simplify]: Simplify 1/2 into 1/2
8.009 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.009 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.009 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.009 * [taylor]: Taking taylor expansion of z in y
8.009 * [backup-simplify]: Simplify z into z
8.009 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.009 * [taylor]: Taking taylor expansion of y in y
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.009 * [backup-simplify]: Simplify (* 1 1) into 1
8.009 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.009 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.009 * [taylor]: Taking taylor expansion of 1/4 in y
8.009 * [backup-simplify]: Simplify 1/4 into 1/4
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.009 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.009 * [taylor]: Taking taylor expansion of y in y
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify (* 1 1) into 1
8.010 * [backup-simplify]: Simplify (* 1 1) into 1
8.010 * [backup-simplify]: Simplify (/ 1 1) into 1
8.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.010 * [taylor]: Taking taylor expansion of 1/4 in y
8.010 * [backup-simplify]: Simplify 1/4 into 1/4
8.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.010 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.010 * [taylor]: Taking taylor expansion of z in y
8.010 * [backup-simplify]: Simplify z into z
8.010 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.010 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.010 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.011 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.011 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.018 * [backup-simplify]: Simplify (+ 0 0) into 0
8.018 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.020 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.020 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.021 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.021 * [taylor]: Taking taylor expansion of 0 in z
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [taylor]: Taking taylor expansion of 0 in z
8.021 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.023 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.024 * [taylor]: Taking taylor expansion of 0 in z
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [taylor]: Taking taylor expansion of 0 in z
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [taylor]: Taking taylor expansion of 0 in z
8.024 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
8.028 * [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)))))
8.028 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.028 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.028 * [taylor]: Taking taylor expansion of y in z
8.028 * [backup-simplify]: Simplify y into y
8.028 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.028 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.028 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.028 * [taylor]: Taking taylor expansion of x in z
8.028 * [backup-simplify]: Simplify x into x
8.028 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.028 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.028 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.028 * [taylor]: Taking taylor expansion of z in z
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (* 1 1) into 1
8.029 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [backup-simplify]: Simplify (+ 0 1) into 1
8.030 * [backup-simplify]: Simplify (+ 0 1) into 1
8.031 * [backup-simplify]: Simplify (sqrt 1) into 1
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.033 * [backup-simplify]: Simplify (+ 0 0) into 0
8.033 * [backup-simplify]: Simplify (+ 0 0) into 0
8.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.034 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.034 * [taylor]: Taking taylor expansion of y in y
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 1 into 1
8.034 * [backup-simplify]: Simplify (* 1 1) into 1
8.035 * [backup-simplify]: Simplify (/ 1 1) into 1
8.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.035 * [taylor]: Taking taylor expansion of x in y
8.035 * [backup-simplify]: Simplify x into x
8.035 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.035 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.035 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.035 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.035 * [taylor]: Taking taylor expansion of z in y
8.035 * [backup-simplify]: Simplify z into z
8.035 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.035 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.036 * [backup-simplify]: Simplify (+ 1 0) into 1
8.036 * [backup-simplify]: Simplify (sqrt 1) into 1
8.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.038 * [backup-simplify]: Simplify (+ 0 0) into 0
8.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.039 * [taylor]: Taking taylor expansion of y in x
8.039 * [backup-simplify]: Simplify y into y
8.039 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.039 * [taylor]: Taking taylor expansion of x in x
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify (* 1 1) into 1
8.040 * [backup-simplify]: Simplify (/ 1 1) into 1
8.040 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.040 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.040 * [taylor]: Taking taylor expansion of z in x
8.040 * [backup-simplify]: Simplify z into z
8.040 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.040 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.041 * [backup-simplify]: Simplify (+ 1 0) into 1
8.041 * [backup-simplify]: Simplify (+ 0 1) into 1
8.042 * [backup-simplify]: Simplify (sqrt 1) into 1
8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify (+ 0 0) into 0
8.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.045 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.045 * [taylor]: Taking taylor expansion of y in x
8.045 * [backup-simplify]: Simplify y into y
8.045 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.045 * [taylor]: Taking taylor expansion of x in x
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.046 * [backup-simplify]: Simplify (* 1 1) into 1
8.046 * [backup-simplify]: Simplify (/ 1 1) into 1
8.046 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.046 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.046 * [taylor]: Taking taylor expansion of z in x
8.046 * [backup-simplify]: Simplify z into z
8.046 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.046 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.047 * [backup-simplify]: Simplify (+ 1 0) into 1
8.047 * [backup-simplify]: Simplify (+ 0 1) into 1
8.048 * [backup-simplify]: Simplify (sqrt 1) into 1
8.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.051 * [taylor]: Taking taylor expansion of 1 in y
8.051 * [backup-simplify]: Simplify 1 into 1
8.051 * [taylor]: Taking taylor expansion of 0 in y
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [taylor]: Taking taylor expansion of 1 in z
8.051 * [backup-simplify]: Simplify 1 into 1
8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.053 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.054 * [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))))
8.054 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.054 * [taylor]: Taking taylor expansion of 1/2 in y
8.054 * [backup-simplify]: Simplify 1/2 into 1/2
8.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.054 * [taylor]: Taking taylor expansion of y in y
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 1 into 1
8.055 * [backup-simplify]: Simplify (* 1 1) into 1
8.055 * [backup-simplify]: Simplify (/ 1 1) into 1
8.055 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.055 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.055 * [taylor]: Taking taylor expansion of z in y
8.055 * [backup-simplify]: Simplify z into z
8.055 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.055 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.056 * [backup-simplify]: Simplify (+ 0 0) into 0
8.056 * [backup-simplify]: Simplify (+ 1 0) into 1
8.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.057 * [taylor]: Taking taylor expansion of 0 in z
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [taylor]: Taking taylor expansion of 0 in z
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [taylor]: Taking taylor expansion of 0 in z
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify 1 into 1
8.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.060 * [taylor]: Taking taylor expansion of 0 in y
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.061 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.061 * [taylor]: Taking taylor expansion of 1/2 in z
8.062 * [backup-simplify]: Simplify 1/2 into 1/2
8.062 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.062 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.062 * [taylor]: Taking taylor expansion of z in z
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (* 1 1) into 1
8.062 * [backup-simplify]: Simplify (/ 1 1) into 1
8.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [taylor]: Taking taylor expansion of 0 in z
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [taylor]: Taking taylor expansion of 0 in z
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.070 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.071 * [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))))))
8.071 * [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
8.071 * [taylor]: Taking taylor expansion of -1/2 in y
8.072 * [backup-simplify]: Simplify -1/2 into -1/2
8.072 * [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
8.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.072 * [taylor]: Taking taylor expansion of 1/2 in y
8.072 * [backup-simplify]: Simplify 1/2 into 1/2
8.072 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.072 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.072 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.072 * [taylor]: Taking taylor expansion of z in y
8.072 * [backup-simplify]: Simplify z into z
8.072 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.072 * [taylor]: Taking taylor expansion of y in y
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.072 * [backup-simplify]: Simplify (* 1 1) into 1
8.072 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.072 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.072 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.072 * [taylor]: Taking taylor expansion of 1/4 in y
8.072 * [backup-simplify]: Simplify 1/4 into 1/4
8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.072 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.072 * [taylor]: Taking taylor expansion of y in y
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.073 * [taylor]: Taking taylor expansion of 1/4 in y
8.073 * [backup-simplify]: Simplify 1/4 into 1/4
8.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.073 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.073 * [taylor]: Taking taylor expansion of z in y
8.073 * [backup-simplify]: Simplify z into z
8.073 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.073 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.073 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.074 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.074 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (+ 0 0) into 0
8.080 * [backup-simplify]: Simplify (+ 0 0) into 0
8.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.083 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.084 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.085 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.085 * [taylor]: Taking taylor expansion of 0 in z
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [taylor]: Taking taylor expansion of 0 in z
8.085 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.089 * [taylor]: Taking taylor expansion of 0 in z
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [taylor]: Taking taylor expansion of 0 in z
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [taylor]: Taking taylor expansion of 0 in z
8.089 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
8.092 * * * * [progress]: [ 4 / 4 ] generating series at (2)
8.093 * [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))
8.093 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
8.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
8.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.094 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.094 * [taylor]: Taking taylor expansion of y in z
8.094 * [backup-simplify]: Simplify y into y
8.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.094 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.094 * [taylor]: Taking taylor expansion of x in z
8.094 * [backup-simplify]: Simplify x into x
8.094 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.094 * [taylor]: Taking taylor expansion of z in z
8.094 * [backup-simplify]: Simplify 0 into 0
8.094 * [backup-simplify]: Simplify 1 into 1
8.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.094 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.094 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.094 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.094 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.094 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.095 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.096 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.096 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.096 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.096 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.097 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.097 * [taylor]: Taking taylor expansion of y in y
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.097 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.097 * [taylor]: Taking taylor expansion of x in y
8.097 * [backup-simplify]: Simplify x into x
8.097 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.097 * [taylor]: Taking taylor expansion of z in y
8.097 * [backup-simplify]: Simplify z into z
8.097 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.097 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.097 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.097 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.097 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.098 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.098 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.098 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.098 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.099 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.099 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.099 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.099 * [taylor]: Taking taylor expansion of y in x
8.099 * [backup-simplify]: Simplify y into y
8.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.099 * [taylor]: Taking taylor expansion of x in x
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 1 into 1
8.099 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.099 * [taylor]: Taking taylor expansion of z in x
8.099 * [backup-simplify]: Simplify z into z
8.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.099 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.099 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.099 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.100 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.100 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.100 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.100 * [backup-simplify]: Simplify (+ 0 0) into 0
8.100 * [backup-simplify]: Simplify (+ 0 0) into 0
8.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.100 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.100 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.100 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.101 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.101 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.101 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.101 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.101 * [taylor]: Taking taylor expansion of y in x
8.101 * [backup-simplify]: Simplify y into y
8.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.101 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.101 * [taylor]: Taking taylor expansion of x in x
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.101 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.101 * [taylor]: Taking taylor expansion of z in x
8.102 * [backup-simplify]: Simplify z into z
8.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.102 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.102 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.102 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.102 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.102 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.102 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.102 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (+ 0 0) into 0
8.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.103 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.103 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.103 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.103 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.104 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
8.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
8.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.104 * [taylor]: Taking taylor expansion of y in y
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.104 * [taylor]: Taking taylor expansion of z in y
8.104 * [backup-simplify]: Simplify z into z
8.104 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.104 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.104 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.104 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.104 * [backup-simplify]: Simplify (+ 0 0) into 0
8.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.104 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.104 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.104 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.105 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.105 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
8.105 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
8.105 * [taylor]: Taking taylor expansion of z in z
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.106 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.106 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.107 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.107 * [taylor]: Taking taylor expansion of 0 in y
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [taylor]: Taking taylor expansion of 0 in z
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.107 * [taylor]: Taking taylor expansion of 0 in z
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
8.109 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.110 * [backup-simplify]: Simplify (* 1 1) into 1
8.111 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.111 * [backup-simplify]: Simplify (+ 1 0) into 1
8.111 * [backup-simplify]: Simplify (+ 0 1) into 1
8.112 * [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)))))
8.112 * [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)))
8.112 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
8.112 * [taylor]: Taking taylor expansion of 1/2 in y
8.112 * [backup-simplify]: Simplify 1/2 into 1/2
8.112 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.112 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.112 * [taylor]: Taking taylor expansion of y in y
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 1 into 1
8.113 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.113 * [taylor]: Taking taylor expansion of z in y
8.113 * [backup-simplify]: Simplify z into z
8.113 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.113 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.113 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.113 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.113 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.113 * [backup-simplify]: Simplify (+ 0 0) into 0
8.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.113 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.113 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.113 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.114 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.114 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
8.115 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.115 * [taylor]: Taking taylor expansion of 1/2 in z
8.115 * [backup-simplify]: Simplify 1/2 into 1/2
8.115 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.115 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.115 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.115 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.115 * [taylor]: Taking taylor expansion of z in z
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [taylor]: Taking taylor expansion of 0 in z
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.118 * [backup-simplify]: Simplify (* 1 1) into 1
8.119 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.119 * [backup-simplify]: Simplify (+ 1 0) into 1
8.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.120 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.120 * [taylor]: Taking taylor expansion of 1/2 in z
8.120 * [backup-simplify]: Simplify 1/2 into 1/2
8.120 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.120 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.120 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.120 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.120 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.121 * [taylor]: Taking taylor expansion of z in z
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.121 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.124 * [backup-simplify]: Simplify 0 into 0
8.124 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
8.125 * [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))
8.125 * [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
8.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.125 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.125 * [taylor]: Taking taylor expansion of y in z
8.125 * [backup-simplify]: Simplify y into y
8.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.125 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.125 * [taylor]: Taking taylor expansion of x in z
8.125 * [backup-simplify]: Simplify x into x
8.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.125 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.125 * [taylor]: Taking taylor expansion of z in z
8.125 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (* 1 1) into 1
8.126 * [backup-simplify]: Simplify (/ 1 1) into 1
8.126 * [backup-simplify]: Simplify (+ 0 1) into 1
8.127 * [backup-simplify]: Simplify (+ 0 1) into 1
8.127 * [backup-simplify]: Simplify (sqrt 1) into 1
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (+ 0 0) into 0
8.128 * [backup-simplify]: Simplify (+ 0 0) into 0
8.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.129 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.129 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.129 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.129 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.129 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.129 * [taylor]: Taking taylor expansion of y in y
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 1 into 1
8.130 * [backup-simplify]: Simplify (* 1 1) into 1
8.130 * [backup-simplify]: Simplify (/ 1 1) into 1
8.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.130 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.130 * [taylor]: Taking taylor expansion of x in y
8.130 * [backup-simplify]: Simplify x into x
8.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.130 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.130 * [taylor]: Taking taylor expansion of z in y
8.130 * [backup-simplify]: Simplify z into z
8.130 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.130 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.131 * [backup-simplify]: Simplify (+ 1 0) into 1
8.131 * [backup-simplify]: Simplify (sqrt 1) into 1
8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ 0 0) into 0
8.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.132 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.132 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.132 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.133 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.133 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.133 * [taylor]: Taking taylor expansion of y in x
8.133 * [backup-simplify]: Simplify y into y
8.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.133 * [taylor]: Taking taylor expansion of x in x
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (* 1 1) into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.134 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.134 * [taylor]: Taking taylor expansion of z in x
8.134 * [backup-simplify]: Simplify z into z
8.134 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.134 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.134 * [backup-simplify]: Simplify (+ 1 0) into 1
8.135 * [backup-simplify]: Simplify (+ 0 1) into 1
8.135 * [backup-simplify]: Simplify (sqrt 1) into 1
8.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.137 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.137 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.137 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.137 * [taylor]: Taking taylor expansion of y in x
8.137 * [backup-simplify]: Simplify y into y
8.137 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.138 * [taylor]: Taking taylor expansion of x in x
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 1 into 1
8.138 * [backup-simplify]: Simplify (* 1 1) into 1
8.138 * [backup-simplify]: Simplify (/ 1 1) into 1
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.138 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.138 * [taylor]: Taking taylor expansion of z in x
8.138 * [backup-simplify]: Simplify z into z
8.138 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.138 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.138 * [backup-simplify]: Simplify (+ 1 0) into 1
8.139 * [backup-simplify]: Simplify (+ 0 1) into 1
8.139 * [backup-simplify]: Simplify (sqrt 1) into 1
8.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.141 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.141 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.142 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.142 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.142 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.142 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.143 * [taylor]: Taking taylor expansion of 0 in y
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.143 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.144 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.145 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.146 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.147 * [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))))
8.148 * [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))))
8.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.148 * [taylor]: Taking taylor expansion of 1/2 in y
8.148 * [backup-simplify]: Simplify 1/2 into 1/2
8.148 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.148 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.148 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.148 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.149 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.149 * [taylor]: Taking taylor expansion of z in y
8.149 * [backup-simplify]: Simplify z into z
8.149 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.149 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.149 * [taylor]: Taking taylor expansion of 1/2 in y
8.149 * [backup-simplify]: Simplify 1/2 into 1/2
8.149 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.149 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.149 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.149 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.149 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.150 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.150 * [taylor]: Taking taylor expansion of y in y
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.150 * [backup-simplify]: Simplify (* 1 1) into 1
8.151 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.153 * [backup-simplify]: Simplify (+ 0 0) into 0
8.153 * [taylor]: Taking taylor expansion of 0 in z
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [taylor]: Taking taylor expansion of 0 in z
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [taylor]: Taking taylor expansion of 0 in z
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.157 * [taylor]: Taking taylor expansion of 0 in y
8.157 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.160 * [taylor]: Taking taylor expansion of 1/2 in z
8.160 * [backup-simplify]: Simplify 1/2 into 1/2
8.160 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.160 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.161 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.161 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.161 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.161 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.161 * [taylor]: Taking taylor expansion of z in z
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 1 into 1
8.162 * [backup-simplify]: Simplify (* 1 1) into 1
8.163 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [taylor]: Taking taylor expansion of 0 in z
8.172 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.173 * [taylor]: Taking taylor expansion of 0 in z
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.179 * [backup-simplify]: Simplify (+ 0 0) into 0
8.180 * [backup-simplify]: Simplify (+ 0 0) into 0
8.181 * [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))))))
8.184 * [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))))))
8.184 * [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
8.184 * [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
8.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.185 * [taylor]: Taking taylor expansion of 1/4 in y
8.185 * [backup-simplify]: Simplify 1/4 into 1/4
8.185 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
8.185 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.185 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.185 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.185 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.186 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.186 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.186 * [taylor]: Taking taylor expansion of z in y
8.186 * [backup-simplify]: Simplify z into z
8.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.186 * [taylor]: Taking taylor expansion of y in y
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 1 into 1
8.186 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.187 * [backup-simplify]: Simplify (* 1 1) into 1
8.187 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.187 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.187 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.187 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.187 * [taylor]: Taking taylor expansion of 1/8 in y
8.187 * [backup-simplify]: Simplify 1/8 into 1/8
8.187 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.187 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.188 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.189 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.189 * [taylor]: Taking taylor expansion of y in y
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (* 1 1) into 1
8.190 * [backup-simplify]: Simplify (* 1 1) into 1
8.191 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.191 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.191 * [taylor]: Taking taylor expansion of 1/8 in y
8.191 * [backup-simplify]: Simplify 1/8 into 1/8
8.191 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
8.191 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.191 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.191 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.191 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.192 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.192 * [taylor]: Taking taylor expansion of z in y
8.192 * [backup-simplify]: Simplify z into z
8.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.192 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.193 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.193 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.194 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.195 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.200 * [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
8.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.209 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.209 * [backup-simplify]: Simplify (+ 0 0) into 0
8.210 * [backup-simplify]: Simplify (+ 0 0) into 0
8.210 * [backup-simplify]: Simplify (- 0) into 0
8.210 * [taylor]: Taking taylor expansion of 0 in z
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [taylor]: Taking taylor expansion of 0 in z
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.211 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.217 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [taylor]: Taking taylor expansion of 0 in z
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [taylor]: Taking taylor expansion of 0 in z
8.217 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.219 * [taylor]: Taking taylor expansion of 0 in z
8.219 * [backup-simplify]: Simplify 0 into 0
8.220 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.223 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
8.225 * [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))
8.225 * [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
8.226 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.226 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.226 * [taylor]: Taking taylor expansion of y in z
8.226 * [backup-simplify]: Simplify y into y
8.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.226 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.226 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.226 * [taylor]: Taking taylor expansion of x in z
8.226 * [backup-simplify]: Simplify x into x
8.226 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.226 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.226 * [taylor]: Taking taylor expansion of z in z
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify 1 into 1
8.227 * [backup-simplify]: Simplify (* 1 1) into 1
8.227 * [backup-simplify]: Simplify (/ 1 1) into 1
8.228 * [backup-simplify]: Simplify (+ 0 1) 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
8.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.230 * [backup-simplify]: Simplify (+ 0 0) into 0
8.231 * [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 (sqrt 0.3333333333333333) in z
8.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.231 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.232 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.233 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.233 * [taylor]: Taking taylor expansion of y in y
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 1 into 1
8.233 * [backup-simplify]: Simplify (* 1 1) into 1
8.234 * [backup-simplify]: Simplify (/ 1 1) into 1
8.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.234 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.234 * [taylor]: Taking taylor expansion of x in y
8.234 * [backup-simplify]: Simplify x into x
8.234 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.234 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.234 * [taylor]: Taking taylor expansion of z in y
8.234 * [backup-simplify]: Simplify z into z
8.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.235 * [backup-simplify]: Simplify (+ 1 0) into 1
8.235 * [backup-simplify]: Simplify (sqrt 1) into 1
8.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.237 * [backup-simplify]: Simplify (+ 0 0) into 0
8.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.238 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.238 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.239 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.239 * [taylor]: Taking taylor expansion of y in x
8.239 * [backup-simplify]: Simplify y into y
8.239 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.239 * [taylor]: Taking taylor expansion of x in x
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.240 * [backup-simplify]: Simplify (* 1 1) into 1
8.240 * [backup-simplify]: Simplify (/ 1 1) into 1
8.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.240 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.240 * [taylor]: Taking taylor expansion of z in x
8.240 * [backup-simplify]: Simplify z into z
8.240 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.241 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.241 * [backup-simplify]: Simplify (+ 1 0) into 1
8.242 * [backup-simplify]: Simplify (+ 0 1) into 1
8.242 * [backup-simplify]: Simplify (sqrt 1) into 1
8.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.245 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.245 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.245 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.246 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.247 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.247 * [taylor]: Taking taylor expansion of y in x
8.247 * [backup-simplify]: Simplify y into y
8.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.247 * [taylor]: Taking taylor expansion of x in x
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (* 1 1) into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
8.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.248 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.248 * [taylor]: Taking taylor expansion of z in x
8.248 * [backup-simplify]: Simplify z into z
8.248 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.249 * [backup-simplify]: Simplify (+ 1 0) into 1
8.249 * [backup-simplify]: Simplify (+ 0 1) into 1
8.250 * [backup-simplify]: Simplify (sqrt 1) into 1
8.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.252 * [backup-simplify]: Simplify (+ 0 0) into 0
8.252 * [backup-simplify]: Simplify (+ 0 0) into 0
8.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.253 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.253 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.253 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.255 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.255 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.255 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.255 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.256 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.258 * [taylor]: Taking taylor expansion of 0 in y
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.258 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.258 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.258 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.263 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.264 * [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))))
8.266 * [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))))
8.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.266 * [taylor]: Taking taylor expansion of 1/2 in y
8.266 * [backup-simplify]: Simplify 1/2 into 1/2
8.266 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.266 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.266 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.267 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.268 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.268 * [taylor]: Taking taylor expansion of z in y
8.268 * [backup-simplify]: Simplify z into z
8.268 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.268 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.268 * [taylor]: Taking taylor expansion of 1/2 in y
8.268 * [backup-simplify]: Simplify 1/2 into 1/2
8.268 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.268 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.269 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.269 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.270 * [taylor]: Taking taylor expansion of y in y
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 1 into 1
8.270 * [backup-simplify]: Simplify (* 1 1) into 1
8.271 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.275 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [taylor]: Taking taylor expansion of 0 in z
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [taylor]: Taking taylor expansion of 0 in z
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [taylor]: Taking taylor expansion of 0 in z
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.277 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.279 * [backup-simplify]: Simplify (+ 0 0) into 0
8.280 * [backup-simplify]: Simplify (+ 0 0) into 0
8.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.282 * [taylor]: Taking taylor expansion of 0 in y
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.287 * [taylor]: Taking taylor expansion of 1/2 in z
8.288 * [backup-simplify]: Simplify 1/2 into 1/2
8.288 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.288 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.288 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.288 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.289 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.289 * [taylor]: Taking taylor expansion of z in z
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.289 * [backup-simplify]: Simplify (* 1 1) into 1
8.290 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [taylor]: Taking taylor expansion of 0 in z
8.293 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) 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 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.299 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.300 * [backup-simplify]: Simplify (+ 0 0) into 0
8.300 * [backup-simplify]: Simplify (+ 0 0) into 0
8.302 * [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))))))
8.305 * [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))))))
8.305 * [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
8.305 * [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
8.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.305 * [taylor]: Taking taylor expansion of 1/4 in y
8.305 * [backup-simplify]: Simplify 1/4 into 1/4
8.305 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
8.305 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.305 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.305 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.305 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.306 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.306 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.306 * [taylor]: Taking taylor expansion of z in y
8.306 * [backup-simplify]: Simplify z into z
8.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.306 * [taylor]: Taking taylor expansion of y in y
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify 1 into 1
8.306 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.307 * [backup-simplify]: Simplify (* 1 1) into 1
8.307 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.307 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.307 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.307 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.307 * [taylor]: Taking taylor expansion of 1/8 in y
8.307 * [backup-simplify]: Simplify 1/8 into 1/8
8.308 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.308 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.308 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.308 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.309 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.309 * [taylor]: Taking taylor expansion of y in y
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
8.311 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.311 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.311 * [taylor]: Taking taylor expansion of 1/8 in y
8.311 * [backup-simplify]: Simplify 1/8 into 1/8
8.311 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
8.311 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.311 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.311 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.312 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.312 * [taylor]: Taking taylor expansion of z in y
8.312 * [backup-simplify]: Simplify z into z
8.312 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.312 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.313 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.314 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.314 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.315 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.335 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.335 * [backup-simplify]: Simplify (+ 0 0) into 0
8.335 * [backup-simplify]: Simplify (+ 0 0) into 0
8.336 * [backup-simplify]: Simplify (- 0) into 0
8.336 * [taylor]: Taking taylor expansion of 0 in z
8.336 * [backup-simplify]: Simplify 0 into 0
8.336 * [taylor]: Taking taylor expansion of 0 in z
8.336 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.337 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.343 * [backup-simplify]: Simplify (+ 0 0) into 0
8.343 * [taylor]: Taking taylor expansion of 0 in z
8.343 * [backup-simplify]: Simplify 0 into 0
8.343 * [taylor]: Taking taylor expansion of 0 in z
8.343 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.344 * [taylor]: Taking taylor expansion of 0 in z
8.344 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.349 * [backup-simplify]: Simplify 0 into 0
8.349 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
8.349 * * * [progress]: simplifying candidates
8.349 * * * * [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))))>
8.349 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.350 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.351 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.352 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))))>
8.353 * * * * [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))>
8.353 * * * * [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))>
8.353 * * * * [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))))))>
8.353 * * * * [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))))))>
8.353 * * * * [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))))))>
8.354 * * * * [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))))))>
8.354 * * * * [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))))>
8.354 * * * * [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))))>
8.354 * * * * [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)))>
8.354 * * * * [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)))>
8.354 * * * * [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)))>
8.354 * * * * [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)))>
8.354 * * * * [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))))))>
8.354 * * * * [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)))))>
8.354 * * * * [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))))))>
8.354 * * * * [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))))>
8.354 * * * * [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))))>
8.354 * * * * [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))))>
8.354 * * * * [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))))>
8.355 * * * * [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))))>
8.355 * * * * [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))))>
8.355 * * * * [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))))>
8.355 * * * * [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))))>
8.355 * * * * [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))))>
8.355 * * * * [progress]: [ 73 / 75 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
8.355 * * * * [progress]: [ 74 / 75 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
8.355 * * * * [progress]: [ 75 / 75 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
8.356 * [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)))
8.359 * * [simplify]: iteration 0: 72 enodes
8.383 * * [simplify]: iteration 1: 149 enodes
8.419 * * [simplify]: iteration 2: 369 enodes
8.558 * * [simplify]: iteration 3: 1066 enodes
9.177 * * [simplify]: iteration 4: 3397 enodes
9.967 * * [simplify]: iteration complete: 5001 enodes
9.968 * * [simplify]: Extracting #0: cost 32 inf + 0
9.968 * * [simplify]: Extracting #1: cost 132 inf + 4
9.969 * * [simplify]: Extracting #2: cost 392 inf + 51
9.973 * * [simplify]: Extracting #3: cost 974 inf + 3239
9.993 * * [simplify]: Extracting #4: cost 896 inf + 92645
10.073 * * [simplify]: Extracting #5: cost 297 inf + 246925
10.556 * * [simplify]: Extracting #6: cost 85 inf + 332637
10.684 * * [simplify]: Extracting #7: cost 36 inf + 358518
10.838 * * [simplify]: Extracting #8: cost 9 inf + 362940
10.963 * * [simplify]: Extracting #9: cost 0 inf + 366306
11.067 * [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))
11.077 * * * [progress]: adding candidates to table
11.582 * * [progress]: iteration 4 / 4
11.582 * * * [progress]: picking best candidate
11.597 * * * * [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))))>
11.597 * * * [progress]: localizing error
11.652 * * * [progress]: generating rewritten candidates
11.652 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
11.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
11.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.818 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.854 * * * [progress]: generating series expansions
11.854 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
11.854 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (* y y) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
11.854 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
11.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
11.854 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
11.854 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.854 * [taylor]: Taking taylor expansion of y in z
11.854 * [backup-simplify]: Simplify y into y
11.854 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
11.854 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.854 * [taylor]: Taking taylor expansion of x in z
11.854 * [backup-simplify]: Simplify x into x
11.854 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.854 * [taylor]: Taking taylor expansion of z in z
11.854 * [backup-simplify]: Simplify 0 into 0
11.854 * [backup-simplify]: Simplify 1 into 1
11.854 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.854 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.854 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.854 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
11.854 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
11.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.855 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.855 * [backup-simplify]: Simplify (+ 0 0) into 0
11.855 * [backup-simplify]: Simplify (+ 0 0) into 0
11.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
11.855 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
11.855 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
11.855 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.855 * [taylor]: Taking taylor expansion of y in y
11.855 * [backup-simplify]: Simplify 0 into 0
11.855 * [backup-simplify]: Simplify 1 into 1
11.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
11.856 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.856 * [taylor]: Taking taylor expansion of x in y
11.856 * [backup-simplify]: Simplify x into x
11.856 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.856 * [taylor]: Taking taylor expansion of z in y
11.856 * [backup-simplify]: Simplify z into z
11.856 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.856 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.856 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
11.856 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
11.856 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
11.856 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.856 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.856 * [backup-simplify]: Simplify (+ 0 0) into 0
11.857 * [backup-simplify]: Simplify (+ 0 0) into 0
11.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
11.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.857 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.857 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.857 * [taylor]: Taking taylor expansion of y in x
11.857 * [backup-simplify]: Simplify y into y
11.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.857 * [taylor]: Taking taylor expansion of x in x
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 1 into 1
11.857 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.857 * [taylor]: Taking taylor expansion of z in x
11.857 * [backup-simplify]: Simplify z into z
11.857 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.857 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.857 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.857 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.857 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.857 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.857 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.857 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.858 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.859 * [taylor]: Taking taylor expansion of y in x
11.860 * [backup-simplify]: Simplify y into y
11.860 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.860 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.860 * [taylor]: Taking taylor expansion of x in x
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify 1 into 1
11.860 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.860 * [taylor]: Taking taylor expansion of z in x
11.860 * [backup-simplify]: Simplify z into z
11.860 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.860 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.860 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.860 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.860 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.860 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.860 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
11.861 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.861 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.861 * [taylor]: Taking taylor expansion of y in y
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.861 * [taylor]: Taking taylor expansion of z in y
11.861 * [backup-simplify]: Simplify z into z
11.861 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.861 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.861 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
11.861 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.862 * [backup-simplify]: Simplify (+ 0 0) into 0
11.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
11.862 * [taylor]: Taking taylor expansion of z in z
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [taylor]: Taking taylor expansion of 0 in y
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [taylor]: Taking taylor expansion of 0 in z
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [taylor]: Taking taylor expansion of 0 in z
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
11.863 * [backup-simplify]: Simplify (* 1 1) into 1
11.863 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.863 * [backup-simplify]: Simplify (+ 1 0) into 1
11.864 * [backup-simplify]: Simplify (+ 0 1) into 1
11.864 * [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)))))
11.864 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
11.864 * [taylor]: Taking taylor expansion of 1/2 in y
11.864 * [backup-simplify]: Simplify 1/2 into 1/2
11.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
11.864 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
11.864 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.864 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.864 * [taylor]: Taking taylor expansion of y in y
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 1 into 1
11.864 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.864 * [taylor]: Taking taylor expansion of z in y
11.864 * [backup-simplify]: Simplify z into z
11.864 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.864 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.865 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.865 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
11.865 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.865 * [backup-simplify]: Simplify (+ 0 0) into 0
11.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
11.865 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
11.865 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.865 * [taylor]: Taking taylor expansion of 1/2 in z
11.865 * [backup-simplify]: Simplify 1/2 into 1/2
11.865 * [taylor]: Taking taylor expansion of z in z
11.865 * [backup-simplify]: Simplify 0 into 0
11.865 * [backup-simplify]: Simplify 1 into 1
11.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [taylor]: Taking taylor expansion of 0 in z
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [backup-simplify]: Simplify (* 1 1) into 1
11.867 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.867 * [backup-simplify]: Simplify (+ 1 0) into 1
11.867 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
11.867 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.867 * [taylor]: Taking taylor expansion of 1/2 in z
11.868 * [backup-simplify]: Simplify 1/2 into 1/2
11.868 * [taylor]: Taking taylor expansion of z in z
11.868 * [backup-simplify]: Simplify 0 into 0
11.868 * [backup-simplify]: Simplify 1 into 1
11.868 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.868 * [backup-simplify]: Simplify 0 into 0
11.868 * [backup-simplify]: Simplify 0 into 0
11.868 * [backup-simplify]: Simplify 0 into 0
11.868 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
11.869 * [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)))))
11.869 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
11.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
11.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
11.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
11.869 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.869 * [taylor]: Taking taylor expansion of y in z
11.869 * [backup-simplify]: Simplify y into y
11.869 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.869 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
11.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
11.869 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.869 * [taylor]: Taking taylor expansion of x in z
11.869 * [backup-simplify]: Simplify x into x
11.869 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.869 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.869 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.869 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.869 * [taylor]: Taking taylor expansion of z in z
11.869 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify 1 into 1
11.870 * [backup-simplify]: Simplify (* 1 1) into 1
11.870 * [backup-simplify]: Simplify (/ 1 1) into 1
11.870 * [backup-simplify]: Simplify (+ 0 1) into 1
11.871 * [backup-simplify]: Simplify (+ 0 1) into 1
11.871 * [backup-simplify]: Simplify (sqrt 1) into 1
11.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.872 * [backup-simplify]: Simplify (+ 0 0) into 0
11.872 * [backup-simplify]: Simplify (+ 0 0) into 0
11.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
11.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
11.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
11.873 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.873 * [taylor]: Taking taylor expansion of y in y
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify 1 into 1
11.873 * [backup-simplify]: Simplify (* 1 1) into 1
11.873 * [backup-simplify]: Simplify (/ 1 1) into 1
11.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
11.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
11.873 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.873 * [taylor]: Taking taylor expansion of x in y
11.873 * [backup-simplify]: Simplify x into x
11.873 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.873 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.873 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
11.873 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.873 * [taylor]: Taking taylor expansion of z in y
11.873 * [backup-simplify]: Simplify z into z
11.873 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.873 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.874 * [backup-simplify]: Simplify (+ 1 0) into 1
11.874 * [backup-simplify]: Simplify (sqrt 1) into 1
11.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.875 * [backup-simplify]: Simplify (+ 0 0) into 0
11.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
11.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
11.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
11.876 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.876 * [taylor]: Taking taylor expansion of y in x
11.876 * [backup-simplify]: Simplify y into y
11.876 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
11.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.876 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.876 * [taylor]: Taking taylor expansion of x in x
11.876 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify 1 into 1
11.876 * [backup-simplify]: Simplify (* 1 1) into 1
11.876 * [backup-simplify]: Simplify (/ 1 1) into 1
11.876 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
11.876 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.876 * [taylor]: Taking taylor expansion of z in x
11.876 * [backup-simplify]: Simplify z into z
11.876 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.876 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.877 * [backup-simplify]: Simplify (+ 1 0) into 1
11.877 * [backup-simplify]: Simplify (+ 0 1) into 1
11.877 * [backup-simplify]: Simplify (sqrt 1) into 1
11.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.879 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
11.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
11.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
11.880 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.880 * [taylor]: Taking taylor expansion of y in x
11.880 * [backup-simplify]: Simplify y into y
11.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
11.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.880 * [taylor]: Taking taylor expansion of x in x
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify 1 into 1
11.880 * [backup-simplify]: Simplify (* 1 1) into 1
11.881 * [backup-simplify]: Simplify (/ 1 1) into 1
11.881 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
11.881 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.881 * [taylor]: Taking taylor expansion of z in x
11.881 * [backup-simplify]: Simplify z into z
11.881 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.881 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.881 * [backup-simplify]: Simplify (+ 1 0) into 1
11.881 * [backup-simplify]: Simplify (+ 0 1) into 1
11.882 * [backup-simplify]: Simplify (sqrt 1) into 1
11.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.883 * [backup-simplify]: Simplify (+ 0 0) into 0
11.883 * [backup-simplify]: Simplify (+ 0 0) into 0
11.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.883 * [taylor]: Taking taylor expansion of 1 in y
11.883 * [backup-simplify]: Simplify 1 into 1
11.883 * [taylor]: Taking taylor expansion of 0 in y
11.883 * [backup-simplify]: Simplify 0 into 0
11.883 * [taylor]: Taking taylor expansion of 1 in z
11.883 * [backup-simplify]: Simplify 1 into 1
11.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
11.885 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
11.886 * [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))))
11.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
11.886 * [taylor]: Taking taylor expansion of 1/2 in y
11.886 * [backup-simplify]: Simplify 1/2 into 1/2
11.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
11.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
11.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.886 * [taylor]: Taking taylor expansion of y in y
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify 1 into 1
11.886 * [backup-simplify]: Simplify (* 1 1) into 1
11.887 * [backup-simplify]: Simplify (/ 1 1) into 1
11.887 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
11.887 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.887 * [taylor]: Taking taylor expansion of z in y
11.887 * [backup-simplify]: Simplify z into z
11.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.887 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.889 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [backup-simplify]: Simplify (+ 1 0) into 1
11.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.890 * [taylor]: Taking taylor expansion of 0 in z
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [taylor]: Taking taylor expansion of 0 in z
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [taylor]: Taking taylor expansion of 0 in z
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 1 into 1
11.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
11.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.893 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.894 * [backup-simplify]: Simplify (+ 0 0) into 0
11.894 * [backup-simplify]: Simplify (+ 0 0) into 0
11.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
11.895 * [taylor]: Taking taylor expansion of 0 in y
11.895 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
11.898 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
11.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
11.898 * [taylor]: Taking taylor expansion of 1/2 in z
11.898 * [backup-simplify]: Simplify 1/2 into 1/2
11.898 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.898 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.898 * [taylor]: Taking taylor expansion of z in z
11.898 * [backup-simplify]: Simplify 0 into 0
11.898 * [backup-simplify]: Simplify 1 into 1
11.898 * [backup-simplify]: Simplify (* 1 1) into 1
11.899 * [backup-simplify]: Simplify (/ 1 1) into 1
11.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [taylor]: Taking taylor expansion of 0 in z
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [taylor]: Taking taylor expansion of 0 in z
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
11.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
11.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.903 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
11.904 * [backup-simplify]: Simplify (+ 0 0) into 0
11.904 * [backup-simplify]: Simplify (+ 0 0) into 0
11.905 * [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))))))
11.905 * [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
11.905 * [taylor]: Taking taylor expansion of -1/2 in y
11.905 * [backup-simplify]: Simplify -1/2 into -1/2
11.905 * [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
11.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
11.905 * [taylor]: Taking taylor expansion of 1/2 in y
11.905 * [backup-simplify]: Simplify 1/2 into 1/2
11.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
11.905 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
11.905 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.905 * [taylor]: Taking taylor expansion of z in y
11.905 * [backup-simplify]: Simplify z into z
11.905 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.905 * [taylor]: Taking taylor expansion of y in y
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 1 into 1
11.905 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.905 * [backup-simplify]: Simplify (* 1 1) into 1
11.905 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
11.905 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.905 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
11.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
11.905 * [taylor]: Taking taylor expansion of 1/4 in y
11.905 * [backup-simplify]: Simplify 1/4 into 1/4
11.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
11.905 * [taylor]: Taking taylor expansion of (pow y 4) in y
11.905 * [taylor]: Taking taylor expansion of y in y
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 1 into 1
11.906 * [backup-simplify]: Simplify (* 1 1) into 1
11.906 * [backup-simplify]: Simplify (* 1 1) into 1
11.906 * [backup-simplify]: Simplify (/ 1 1) into 1
11.906 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
11.906 * [taylor]: Taking taylor expansion of 1/4 in y
11.906 * [backup-simplify]: Simplify 1/4 into 1/4
11.906 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
11.906 * [taylor]: Taking taylor expansion of (pow z 4) in y
11.906 * [taylor]: Taking taylor expansion of z in y
11.906 * [backup-simplify]: Simplify z into z
11.906 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.906 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
11.906 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
11.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.907 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.907 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
11.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
11.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.913 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
11.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
11.914 * [backup-simplify]: Simplify (+ 0 0) into 0
11.914 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
11.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
11.915 * [backup-simplify]: Simplify (+ 0 0) into 0
11.915 * [backup-simplify]: Simplify (+ 0 0) into 0
11.915 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
11.916 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
11.916 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
11.917 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
11.917 * [taylor]: Taking taylor expansion of 0 in z
11.917 * [backup-simplify]: Simplify 0 into 0
11.917 * [taylor]: Taking taylor expansion of 0 in z
11.917 * [backup-simplify]: Simplify 0 into 0
11.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
11.919 * [taylor]: Taking taylor expansion of 0 in z
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [taylor]: Taking taylor expansion of 0 in z
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [taylor]: Taking taylor expansion of 0 in z
11.919 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
11.921 * [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)))))
11.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
11.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
11.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
11.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
11.921 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.921 * [taylor]: Taking taylor expansion of y in z
11.921 * [backup-simplify]: Simplify y into y
11.921 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.921 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
11.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
11.921 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.921 * [taylor]: Taking taylor expansion of x in z
11.921 * [backup-simplify]: Simplify x into x
11.921 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.922 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.922 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.922 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.922 * [taylor]: Taking taylor expansion of z in z
11.922 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify 1 into 1
11.922 * [backup-simplify]: Simplify (* 1 1) into 1
11.922 * [backup-simplify]: Simplify (/ 1 1) into 1
11.922 * [backup-simplify]: Simplify (+ 0 1) into 1
11.923 * [backup-simplify]: Simplify (+ 0 1) into 1
11.923 * [backup-simplify]: Simplify (sqrt 1) into 1
11.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (+ 0 0) into 0
11.924 * [backup-simplify]: Simplify (+ 0 0) into 0
11.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
11.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
11.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
11.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.925 * [taylor]: Taking taylor expansion of y in y
11.925 * [backup-simplify]: Simplify 0 into 0
11.925 * [backup-simplify]: Simplify 1 into 1
11.925 * [backup-simplify]: Simplify (* 1 1) into 1
11.925 * [backup-simplify]: Simplify (/ 1 1) into 1
11.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
11.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
11.925 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.925 * [taylor]: Taking taylor expansion of x in y
11.925 * [backup-simplify]: Simplify x into x
11.925 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.925 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.925 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
11.925 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.925 * [taylor]: Taking taylor expansion of z in y
11.925 * [backup-simplify]: Simplify z into z
11.925 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.926 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.926 * [backup-simplify]: Simplify (+ 1 0) into 1
11.926 * [backup-simplify]: Simplify (sqrt 1) into 1
11.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (+ 0 0) into 0
11.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
11.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
11.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
11.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.928 * [taylor]: Taking taylor expansion of y in x
11.928 * [backup-simplify]: Simplify y into y
11.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
11.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.928 * [taylor]: Taking taylor expansion of x in x
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify 1 into 1
11.928 * [backup-simplify]: Simplify (* 1 1) into 1
11.928 * [backup-simplify]: Simplify (/ 1 1) into 1
11.928 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
11.928 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.928 * [taylor]: Taking taylor expansion of z in x
11.928 * [backup-simplify]: Simplify z into z
11.928 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.928 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.929 * [backup-simplify]: Simplify (+ 1 0) into 1
11.929 * [backup-simplify]: Simplify (+ 0 1) into 1
11.929 * [backup-simplify]: Simplify (sqrt 1) into 1
11.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.931 * [backup-simplify]: Simplify (+ 0 0) into 0
11.931 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
11.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
11.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
11.932 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.932 * [taylor]: Taking taylor expansion of y in x
11.932 * [backup-simplify]: Simplify y into y
11.932 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
11.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.933 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.933 * [taylor]: Taking taylor expansion of x in x
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 1 into 1
11.933 * [backup-simplify]: Simplify (* 1 1) into 1
11.933 * [backup-simplify]: Simplify (/ 1 1) into 1
11.933 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
11.934 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.934 * [taylor]: Taking taylor expansion of z in x
11.934 * [backup-simplify]: Simplify z into z
11.934 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.934 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.934 * [backup-simplify]: Simplify (+ 1 0) into 1
11.935 * [backup-simplify]: Simplify (+ 0 1) into 1
11.935 * [backup-simplify]: Simplify (sqrt 1) into 1
11.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.937 * [backup-simplify]: Simplify (+ 0 0) into 0
11.937 * [backup-simplify]: Simplify (+ 0 0) into 0
11.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.938 * [taylor]: Taking taylor expansion of 1 in y
11.938 * [backup-simplify]: Simplify 1 into 1
11.938 * [taylor]: Taking taylor expansion of 0 in y
11.938 * [backup-simplify]: Simplify 0 into 0
11.938 * [taylor]: Taking taylor expansion of 1 in z
11.938 * [backup-simplify]: Simplify 1 into 1
11.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.940 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
11.940 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
11.941 * [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))))
11.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
11.941 * [taylor]: Taking taylor expansion of 1/2 in y
11.941 * [backup-simplify]: Simplify 1/2 into 1/2
11.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
11.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
11.941 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.941 * [taylor]: Taking taylor expansion of y in y
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [backup-simplify]: Simplify 1 into 1
11.942 * [backup-simplify]: Simplify (* 1 1) into 1
11.942 * [backup-simplify]: Simplify (/ 1 1) into 1
11.942 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
11.942 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.942 * [taylor]: Taking taylor expansion of z in y
11.942 * [backup-simplify]: Simplify z into z
11.942 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.942 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.944 * [backup-simplify]: Simplify (+ 0 0) into 0
11.944 * [backup-simplify]: Simplify (+ 1 0) into 1
11.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.945 * [taylor]: Taking taylor expansion of 0 in z
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [taylor]: Taking taylor expansion of 0 in z
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [taylor]: Taking taylor expansion of 0 in z
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify 1 into 1
11.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.948 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.948 * [backup-simplify]: Simplify (+ 0 0) into 0
11.949 * [backup-simplify]: Simplify (+ 0 0) into 0
11.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
11.949 * [taylor]: Taking taylor expansion of 0 in y
11.949 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.951 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
11.952 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
11.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
11.952 * [taylor]: Taking taylor expansion of 1/2 in z
11.952 * [backup-simplify]: Simplify 1/2 into 1/2
11.952 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.952 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.952 * [taylor]: Taking taylor expansion of z in z
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [backup-simplify]: Simplify 1 into 1
11.952 * [backup-simplify]: Simplify (* 1 1) into 1
11.953 * [backup-simplify]: Simplify (/ 1 1) into 1
11.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [taylor]: Taking taylor expansion of 0 in z
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [taylor]: Taking taylor expansion of 0 in z
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
11.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
11.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.959 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
11.959 * [backup-simplify]: Simplify (+ 0 0) into 0
11.959 * [backup-simplify]: Simplify (+ 0 0) into 0
11.961 * [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))))))
11.961 * [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
11.961 * [taylor]: Taking taylor expansion of -1/2 in y
11.961 * [backup-simplify]: Simplify -1/2 into -1/2
11.961 * [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
11.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
11.961 * [taylor]: Taking taylor expansion of 1/2 in y
11.961 * [backup-simplify]: Simplify 1/2 into 1/2
11.961 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
11.961 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
11.961 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.961 * [taylor]: Taking taylor expansion of z in y
11.961 * [backup-simplify]: Simplify z into z
11.961 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.961 * [taylor]: Taking taylor expansion of y in y
11.961 * [backup-simplify]: Simplify 0 into 0
11.961 * [backup-simplify]: Simplify 1 into 1
11.961 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.962 * [backup-simplify]: Simplify (* 1 1) into 1
11.962 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
11.962 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
11.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
11.962 * [taylor]: Taking taylor expansion of 1/4 in y
11.962 * [backup-simplify]: Simplify 1/4 into 1/4
11.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
11.962 * [taylor]: Taking taylor expansion of (pow y 4) in y
11.962 * [taylor]: Taking taylor expansion of y in y
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 1 into 1
11.963 * [backup-simplify]: Simplify (* 1 1) into 1
11.963 * [backup-simplify]: Simplify (* 1 1) into 1
11.963 * [backup-simplify]: Simplify (/ 1 1) into 1
11.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
11.963 * [taylor]: Taking taylor expansion of 1/4 in y
11.963 * [backup-simplify]: Simplify 1/4 into 1/4
11.963 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
11.963 * [taylor]: Taking taylor expansion of (pow z 4) in y
11.963 * [taylor]: Taking taylor expansion of z in y
11.963 * [backup-simplify]: Simplify z into z
11.964 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.964 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
11.964 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
11.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.964 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.965 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
11.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
11.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
11.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
11.974 * [backup-simplify]: Simplify (+ 0 0) into 0
11.974 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
11.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
11.974 * [backup-simplify]: Simplify (+ 0 0) into 0
11.975 * [backup-simplify]: Simplify (+ 0 0) into 0
11.975 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
11.975 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
11.975 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
11.976 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
11.976 * [taylor]: Taking taylor expansion of 0 in z
11.976 * [backup-simplify]: Simplify 0 into 0
11.976 * [taylor]: Taking taylor expansion of 0 in z
11.976 * [backup-simplify]: Simplify 0 into 0
11.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.977 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.978 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
11.978 * [taylor]: Taking taylor expansion of 0 in z
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 * [taylor]: Taking taylor expansion of 0 in z
11.978 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.980 * [backup-simplify]: Simplify 0 into 0
11.980 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
11.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
11.980 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (* y y) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
11.980 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
11.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
11.981 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
11.981 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.981 * [taylor]: Taking taylor expansion of y in z
11.981 * [backup-simplify]: Simplify y into y
11.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
11.981 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.981 * [taylor]: Taking taylor expansion of x in z
11.981 * [backup-simplify]: Simplify x into x
11.981 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.981 * [taylor]: Taking taylor expansion of z in z
11.981 * [backup-simplify]: Simplify 0 into 0
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.981 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.981 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
11.981 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
11.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.981 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.981 * [backup-simplify]: Simplify (+ 0 0) into 0
11.982 * [backup-simplify]: Simplify (+ 0 0) into 0
11.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
11.982 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
11.982 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 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 x 2) (pow z 2)) in y
11.982 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.982 * [taylor]: Taking taylor expansion of x in y
11.982 * [backup-simplify]: Simplify x into x
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 (* x x) into (pow x 2)
11.982 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.982 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
11.982 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
11.982 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
11.982 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.982 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.983 * [backup-simplify]: Simplify (+ 0 0) into 0
11.983 * [backup-simplify]: Simplify (+ 0 0) into 0
11.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
11.983 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.983 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.983 * [taylor]: Taking taylor expansion of y in x
11.983 * [backup-simplify]: Simplify y into y
11.983 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.983 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.983 * [taylor]: Taking taylor expansion of x in x
11.983 * [backup-simplify]: Simplify 0 into 0
11.983 * [backup-simplify]: Simplify 1 into 1
11.983 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.983 * [taylor]: Taking taylor expansion of z in x
11.983 * [backup-simplify]: Simplify z into z
11.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.983 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.983 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.983 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.984 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.984 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.984 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.984 * [backup-simplify]: Simplify (+ 0 0) into 0
11.984 * [backup-simplify]: Simplify (+ 0 0) into 0
11.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.984 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.984 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.984 * [taylor]: Taking taylor expansion of y in x
11.984 * [backup-simplify]: Simplify y into y
11.984 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.984 * [taylor]: Taking taylor expansion of x in x
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify 1 into 1
11.984 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.984 * [taylor]: Taking taylor expansion of z in x
11.984 * [backup-simplify]: Simplify z into z
11.984 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.984 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.985 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.985 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.985 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.985 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.985 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.985 * [backup-simplify]: Simplify (+ 0 0) into 0
11.985 * [backup-simplify]: Simplify (+ 0 0) into 0
11.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
11.985 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.986 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.986 * [taylor]: Taking taylor expansion of y in y
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.986 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.986 * [taylor]: Taking taylor expansion of z in y
11.986 * [backup-simplify]: Simplify z into z
11.986 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.986 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.986 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
11.986 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.986 * [backup-simplify]: Simplify (+ 0 0) into 0
11.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
11.986 * [taylor]: Taking taylor expansion of z in z
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [taylor]: Taking taylor expansion of 0 in y
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [taylor]: Taking taylor expansion of 0 in z
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [taylor]: Taking taylor expansion of 0 in z
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
11.987 * [backup-simplify]: Simplify (* 1 1) into 1
11.987 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.987 * [backup-simplify]: Simplify (+ 1 0) into 1
11.988 * [backup-simplify]: Simplify (+ 0 1) into 1
11.988 * [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)))))
11.988 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
11.988 * [taylor]: Taking taylor expansion of 1/2 in y
11.988 * [backup-simplify]: Simplify 1/2 into 1/2
11.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
11.988 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
11.988 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.988 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.988 * [taylor]: Taking taylor expansion of y in y
11.988 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify 1 into 1
11.988 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.988 * [taylor]: Taking taylor expansion of z in y
11.988 * [backup-simplify]: Simplify z into z
11.988 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.989 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.989 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.989 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
11.989 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.989 * [backup-simplify]: Simplify (+ 0 0) into 0
11.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
11.989 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
11.989 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.989 * [taylor]: Taking taylor expansion of 1/2 in z
11.989 * [backup-simplify]: Simplify 1/2 into 1/2
11.989 * [taylor]: Taking taylor expansion of z in z
11.989 * [backup-simplify]: Simplify 0 into 0
11.989 * [backup-simplify]: Simplify 1 into 1
11.990 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [taylor]: Taking taylor expansion of 0 in z
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify (* 1 1) into 1
11.992 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.992 * [backup-simplify]: Simplify (+ 1 0) into 1
11.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
11.993 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.993 * [taylor]: Taking taylor expansion of 1/2 in z
11.993 * [backup-simplify]: Simplify 1/2 into 1/2
11.993 * [taylor]: Taking taylor expansion of z in z
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 1 into 1
11.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 0 into 0
11.995 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
11.995 * [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)))))
11.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
11.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
11.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
11.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
11.995 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.995 * [taylor]: Taking taylor expansion of y in z
11.995 * [backup-simplify]: Simplify y into y
11.995 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
11.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
11.995 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.996 * [taylor]: Taking taylor expansion of x in z
11.996 * [backup-simplify]: Simplify x into x
11.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.996 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.996 * [taylor]: Taking taylor expansion of z in z
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.996 * [backup-simplify]: Simplify (* 1 1) into 1
11.997 * [backup-simplify]: Simplify (/ 1 1) into 1
11.997 * [backup-simplify]: Simplify (+ 0 1) into 1
11.997 * [backup-simplify]: Simplify (+ 0 1) into 1
11.998 * [backup-simplify]: Simplify (sqrt 1) into 1
11.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.999 * [backup-simplify]: Simplify (+ 0 0) into 0
12.000 * [backup-simplify]: Simplify (+ 0 0) into 0
12.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.001 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.001 * [taylor]: Taking taylor expansion of y in y
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.001 * [backup-simplify]: Simplify (* 1 1) into 1
12.001 * [backup-simplify]: Simplify (/ 1 1) into 1
12.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.002 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.002 * [taylor]: Taking taylor expansion of x in y
12.002 * [backup-simplify]: Simplify x into x
12.002 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.002 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.002 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.002 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.002 * [taylor]: Taking taylor expansion of z in y
12.002 * [backup-simplify]: Simplify z into z
12.002 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.002 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.002 * [backup-simplify]: Simplify (+ 1 0) into 1
12.003 * [backup-simplify]: Simplify (sqrt 1) into 1
12.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.005 * [backup-simplify]: Simplify (+ 0 0) into 0
12.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.006 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.006 * [taylor]: Taking taylor expansion of y in x
12.006 * [backup-simplify]: Simplify y into y
12.006 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.006 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.006 * [taylor]: Taking taylor expansion of x in x
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify 1 into 1
12.006 * [backup-simplify]: Simplify (* 1 1) into 1
12.007 * [backup-simplify]: Simplify (/ 1 1) into 1
12.007 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.007 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.007 * [taylor]: Taking taylor expansion of z in x
12.007 * [backup-simplify]: Simplify z into z
12.007 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.007 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.007 * [backup-simplify]: Simplify (+ 1 0) into 1
12.008 * [backup-simplify]: Simplify (+ 0 1) into 1
12.008 * [backup-simplify]: Simplify (sqrt 1) into 1
12.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.010 * [backup-simplify]: Simplify (+ 0 0) into 0
12.010 * [backup-simplify]: Simplify (+ 0 0) into 0
12.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.011 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.011 * [taylor]: Taking taylor expansion of y in x
12.011 * [backup-simplify]: Simplify y into y
12.011 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.011 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.011 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.011 * [taylor]: Taking taylor expansion of x in x
12.011 * [backup-simplify]: Simplify 0 into 0
12.011 * [backup-simplify]: Simplify 1 into 1
12.012 * [backup-simplify]: Simplify (* 1 1) into 1
12.012 * [backup-simplify]: Simplify (/ 1 1) into 1
12.012 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.012 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.012 * [taylor]: Taking taylor expansion of z in x
12.012 * [backup-simplify]: Simplify z into z
12.012 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.012 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.013 * [backup-simplify]: Simplify (+ 1 0) into 1
12.013 * [backup-simplify]: Simplify (+ 0 1) into 1
12.014 * [backup-simplify]: Simplify (sqrt 1) into 1
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
12.016 * [backup-simplify]: Simplify (+ 0 0) into 0
12.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.017 * [taylor]: Taking taylor expansion of 1 in y
12.017 * [backup-simplify]: Simplify 1 into 1
12.017 * [taylor]: Taking taylor expansion of 0 in y
12.017 * [backup-simplify]: Simplify 0 into 0
12.017 * [taylor]: Taking taylor expansion of 1 in z
12.017 * [backup-simplify]: Simplify 1 into 1
12.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.019 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.019 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.021 * [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))))
12.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.021 * [taylor]: Taking taylor expansion of 1/2 in y
12.021 * [backup-simplify]: Simplify 1/2 into 1/2
12.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.021 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.021 * [taylor]: Taking taylor expansion of y in y
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 1 into 1
12.022 * [backup-simplify]: Simplify (* 1 1) into 1
12.022 * [backup-simplify]: Simplify (/ 1 1) into 1
12.022 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.022 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.022 * [taylor]: Taking taylor expansion of z in y
12.022 * [backup-simplify]: Simplify z into z
12.022 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.023 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.025 * [backup-simplify]: Simplify (+ 0 0) into 0
12.025 * [backup-simplify]: Simplify (+ 1 0) into 1
12.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) 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 * [taylor]: Taking taylor expansion of 0 in z
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.028 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.029 * [backup-simplify]: Simplify (+ 0 0) into 0
12.029 * [backup-simplify]: Simplify (+ 0 0) into 0
12.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.030 * [taylor]: Taking taylor expansion of 0 in y
12.030 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.033 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.033 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.033 * [taylor]: Taking taylor expansion of 1/2 in z
12.033 * [backup-simplify]: Simplify 1/2 into 1/2
12.033 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.034 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.034 * [taylor]: Taking taylor expansion of z in z
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 1 into 1
12.034 * [backup-simplify]: Simplify (* 1 1) into 1
12.034 * [backup-simplify]: Simplify (/ 1 1) into 1
12.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [taylor]: Taking taylor expansion of 0 in z
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [taylor]: Taking taylor expansion of 0 in z
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.040 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.041 * [backup-simplify]: Simplify (+ 0 0) into 0
12.041 * [backup-simplify]: Simplify (+ 0 0) into 0
12.043 * [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))))))
12.043 * [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
12.043 * [taylor]: Taking taylor expansion of -1/2 in y
12.043 * [backup-simplify]: Simplify -1/2 into -1/2
12.043 * [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
12.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.043 * [taylor]: Taking taylor expansion of 1/2 in y
12.043 * [backup-simplify]: Simplify 1/2 into 1/2
12.043 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.043 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.043 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.043 * [taylor]: Taking taylor expansion of z in y
12.043 * [backup-simplify]: Simplify z into z
12.043 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.043 * [taylor]: Taking taylor expansion of y in y
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 1 into 1
12.044 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.044 * [backup-simplify]: Simplify (* 1 1) into 1
12.044 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.044 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.044 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.044 * [taylor]: Taking taylor expansion of 1/4 in y
12.044 * [backup-simplify]: Simplify 1/4 into 1/4
12.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.044 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.044 * [taylor]: Taking taylor expansion of y in y
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 1 into 1
12.045 * [backup-simplify]: Simplify (* 1 1) into 1
12.045 * [backup-simplify]: Simplify (* 1 1) into 1
12.045 * [backup-simplify]: Simplify (/ 1 1) into 1
12.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.045 * [taylor]: Taking taylor expansion of 1/4 in y
12.045 * [backup-simplify]: Simplify 1/4 into 1/4
12.045 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.045 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.045 * [taylor]: Taking taylor expansion of z in y
12.045 * [backup-simplify]: Simplify z into z
12.045 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.046 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.046 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.046 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.046 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.052 * [backup-simplify]: Simplify (+ 0 0) into 0
12.053 * [backup-simplify]: Simplify (+ 0 0) into 0
12.053 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.053 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.055 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.055 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.055 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.056 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.056 * [taylor]: Taking taylor expansion of 0 in z
12.056 * [backup-simplify]: Simplify 0 into 0
12.056 * [taylor]: Taking taylor expansion of 0 in z
12.056 * [backup-simplify]: Simplify 0 into 0
12.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.057 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.058 * [backup-simplify]: Simplify (+ 0 0) into 0
12.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.058 * [taylor]: Taking taylor expansion of 0 in z
12.058 * [backup-simplify]: Simplify 0 into 0
12.058 * [taylor]: Taking taylor expansion of 0 in z
12.058 * [backup-simplify]: Simplify 0 into 0
12.058 * [taylor]: Taking taylor expansion of 0 in z
12.059 * [backup-simplify]: Simplify 0 into 0
12.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.060 * [backup-simplify]: Simplify 0 into 0
12.060 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
12.061 * [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)))))
12.061 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
12.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.061 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.061 * [taylor]: Taking taylor expansion of y in z
12.061 * [backup-simplify]: Simplify y into y
12.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.061 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.061 * [taylor]: Taking taylor expansion of x in z
12.061 * [backup-simplify]: Simplify x into x
12.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.061 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.061 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.061 * [taylor]: Taking taylor expansion of z in z
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify 1 into 1
12.061 * [backup-simplify]: Simplify (* 1 1) into 1
12.062 * [backup-simplify]: Simplify (/ 1 1) into 1
12.062 * [backup-simplify]: Simplify (+ 0 1) into 1
12.062 * [backup-simplify]: Simplify (+ 0 1) into 1
12.062 * [backup-simplify]: Simplify (sqrt 1) into 1
12.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.063 * [backup-simplify]: Simplify (+ 0 0) into 0
12.064 * [backup-simplify]: Simplify (+ 0 0) into 0
12.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.064 * [taylor]: Taking taylor expansion of y in y
12.064 * [backup-simplify]: Simplify 0 into 0
12.064 * [backup-simplify]: Simplify 1 into 1
12.065 * [backup-simplify]: Simplify (* 1 1) into 1
12.065 * [backup-simplify]: Simplify (/ 1 1) into 1
12.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.065 * [taylor]: Taking taylor expansion of x in y
12.065 * [backup-simplify]: Simplify x into x
12.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.065 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.065 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.065 * [taylor]: Taking taylor expansion of z in y
12.065 * [backup-simplify]: Simplify z into z
12.065 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.065 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.065 * [backup-simplify]: Simplify (+ 1 0) into 1
12.066 * [backup-simplify]: Simplify (sqrt 1) into 1
12.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.067 * [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 x
12.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.067 * [taylor]: Taking taylor expansion of y in x
12.067 * [backup-simplify]: Simplify y into y
12.067 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.067 * [taylor]: Taking taylor expansion of x in x
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 z 2)) in x
12.068 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.068 * [taylor]: Taking taylor expansion of z in x
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 (+ 0 1) into 1
12.069 * [backup-simplify]: Simplify (sqrt 1) into 1
12.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.070 * [backup-simplify]: Simplify (+ 0 0) into 0
12.070 * [backup-simplify]: Simplify (+ 0 0) into 0
12.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.071 * [taylor]: Taking taylor expansion of y in x
12.071 * [backup-simplify]: Simplify y into y
12.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.071 * [taylor]: Taking taylor expansion of x in x
12.071 * [backup-simplify]: Simplify 0 into 0
12.071 * [backup-simplify]: Simplify 1 into 1
12.071 * [backup-simplify]: Simplify (* 1 1) into 1
12.072 * [backup-simplify]: Simplify (/ 1 1) into 1
12.072 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.072 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.072 * [taylor]: Taking taylor expansion of z in x
12.072 * [backup-simplify]: Simplify z into z
12.072 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.072 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.072 * [backup-simplify]: Simplify (+ 1 0) into 1
12.072 * [backup-simplify]: Simplify (+ 0 1) into 1
12.073 * [backup-simplify]: Simplify (sqrt 1) into 1
12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.074 * [backup-simplify]: Simplify (+ 0 0) into 0
12.074 * [backup-simplify]: Simplify (+ 0 0) into 0
12.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.074 * [taylor]: Taking taylor expansion of 1 in y
12.074 * [backup-simplify]: Simplify 1 into 1
12.075 * [taylor]: Taking taylor expansion of 0 in y
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [taylor]: Taking taylor expansion of 1 in z
12.075 * [backup-simplify]: Simplify 1 into 1
12.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.076 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.077 * [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))))
12.077 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.077 * [taylor]: Taking taylor expansion of 1/2 in y
12.077 * [backup-simplify]: Simplify 1/2 into 1/2
12.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.077 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.077 * [taylor]: Taking taylor expansion of y in y
12.077 * [backup-simplify]: Simplify 0 into 0
12.077 * [backup-simplify]: Simplify 1 into 1
12.077 * [backup-simplify]: Simplify (* 1 1) into 1
12.077 * [backup-simplify]: Simplify (/ 1 1) into 1
12.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.077 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.077 * [taylor]: Taking taylor expansion of z in y
12.077 * [backup-simplify]: Simplify z into z
12.077 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.077 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.079 * [backup-simplify]: Simplify (+ 0 0) into 0
12.079 * [backup-simplify]: Simplify (+ 1 0) into 1
12.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.081 * [taylor]: Taking taylor expansion of 0 in z
12.081 * [backup-simplify]: Simplify 0 into 0
12.081 * [taylor]: Taking taylor expansion of 0 in z
12.081 * [backup-simplify]: Simplify 0 into 0
12.081 * [taylor]: Taking taylor expansion of 0 in z
12.081 * [backup-simplify]: Simplify 0 into 0
12.081 * [backup-simplify]: Simplify 1 into 1
12.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.082 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.083 * [backup-simplify]: Simplify (+ 0 0) into 0
12.083 * [backup-simplify]: Simplify (+ 0 0) into 0
12.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.084 * [taylor]: Taking taylor expansion of 0 in y
12.084 * [backup-simplify]: Simplify 0 into 0
12.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.085 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.085 * [taylor]: Taking taylor expansion of 1/2 in z
12.085 * [backup-simplify]: Simplify 1/2 into 1/2
12.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.085 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.085 * [taylor]: Taking taylor expansion of z in z
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [taylor]: Taking taylor expansion of 0 in z
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [taylor]: Taking taylor expansion of 0 in z
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.089 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.090 * [backup-simplify]: Simplify (+ 0 0) into 0
12.090 * [backup-simplify]: Simplify (+ 0 0) into 0
12.091 * [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))))))
12.091 * [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
12.091 * [taylor]: Taking taylor expansion of -1/2 in y
12.091 * [backup-simplify]: Simplify -1/2 into -1/2
12.091 * [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
12.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.091 * [taylor]: Taking taylor expansion of 1/2 in y
12.091 * [backup-simplify]: Simplify 1/2 into 1/2
12.091 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.091 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.091 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.091 * [taylor]: Taking taylor expansion of z in y
12.091 * [backup-simplify]: Simplify z into z
12.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.091 * [taylor]: Taking taylor expansion of y in y
12.091 * [backup-simplify]: Simplify 0 into 0
12.092 * [backup-simplify]: Simplify 1 into 1
12.092 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.092 * [backup-simplify]: Simplify (* 1 1) into 1
12.092 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.092 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.092 * [taylor]: Taking taylor expansion of 1/4 in y
12.092 * [backup-simplify]: Simplify 1/4 into 1/4
12.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.092 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.092 * [taylor]: Taking taylor expansion of y in y
12.092 * [backup-simplify]: Simplify 0 into 0
12.092 * [backup-simplify]: Simplify 1 into 1
12.092 * [backup-simplify]: Simplify (* 1 1) into 1
12.093 * [backup-simplify]: Simplify (* 1 1) into 1
12.093 * [backup-simplify]: Simplify (/ 1 1) into 1
12.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.093 * [taylor]: Taking taylor expansion of 1/4 in y
12.093 * [backup-simplify]: Simplify 1/4 into 1/4
12.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.093 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.093 * [taylor]: Taking taylor expansion of z in y
12.093 * [backup-simplify]: Simplify z into z
12.093 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.093 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.093 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.094 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.094 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.100 * [backup-simplify]: Simplify (+ 0 0) into 0
12.100 * [backup-simplify]: Simplify (+ 0 0) into 0
12.100 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.101 * [backup-simplify]: Simplify (+ 0 0) into 0
12.101 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.102 * [backup-simplify]: Simplify (+ 0 0) into 0
12.102 * [backup-simplify]: Simplify (+ 0 0) into 0
12.103 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.103 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.103 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.104 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.104 * [taylor]: Taking taylor expansion of 0 in z
12.104 * [backup-simplify]: Simplify 0 into 0
12.104 * [taylor]: Taking taylor expansion of 0 in z
12.104 * [backup-simplify]: Simplify 0 into 0
12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.105 * [backup-simplify]: Simplify (+ 0 0) into 0
12.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.106 * [taylor]: Taking taylor expansion of 0 in z
12.106 * [backup-simplify]: Simplify 0 into 0
12.106 * [taylor]: Taking taylor expansion of 0 in z
12.106 * [backup-simplify]: Simplify 0 into 0
12.106 * [taylor]: Taking taylor expansion of 0 in z
12.106 * [backup-simplify]: Simplify 0 into 0
12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.108 * [backup-simplify]: Simplify 0 into 0
12.108 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
12.108 * * * * [progress]: [ 3 / 4 ] generating series at (2)
12.109 * [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))
12.109 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
12.109 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
12.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
12.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
12.109 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.109 * [taylor]: Taking taylor expansion of y in z
12.109 * [backup-simplify]: Simplify y into y
12.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
12.109 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.109 * [taylor]: Taking taylor expansion of x in z
12.109 * [backup-simplify]: Simplify x into x
12.109 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.109 * [taylor]: Taking taylor expansion of z in z
12.109 * [backup-simplify]: Simplify 0 into 0
12.109 * [backup-simplify]: Simplify 1 into 1
12.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.109 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.109 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
12.109 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
12.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.109 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.110 * [backup-simplify]: Simplify (+ 0 0) into 0
12.110 * [backup-simplify]: Simplify (+ 0 0) into 0
12.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
12.110 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.110 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.110 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
12.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
12.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
12.111 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.111 * [taylor]: Taking taylor expansion of y in y
12.111 * [backup-simplify]: Simplify 0 into 0
12.111 * [backup-simplify]: Simplify 1 into 1
12.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
12.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.111 * [taylor]: Taking taylor expansion of x in y
12.111 * [backup-simplify]: Simplify x into x
12.111 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.111 * [taylor]: Taking taylor expansion of z in y
12.111 * [backup-simplify]: Simplify z into z
12.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.111 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.111 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.111 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
12.111 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.111 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.112 * [backup-simplify]: Simplify (+ 0 0) into 0
12.112 * [backup-simplify]: Simplify (+ 0 0) into 0
12.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
12.112 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.112 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.112 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.112 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.113 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
12.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.113 * [taylor]: Taking taylor expansion of y in x
12.113 * [backup-simplify]: Simplify y into y
12.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.113 * [taylor]: Taking taylor expansion of x in x
12.113 * [backup-simplify]: Simplify 0 into 0
12.113 * [backup-simplify]: Simplify 1 into 1
12.113 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.113 * [taylor]: Taking taylor expansion of z in x
12.113 * [backup-simplify]: Simplify z into z
12.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.113 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.113 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.113 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.113 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.113 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.114 * [backup-simplify]: Simplify (+ 0 0) into 0
12.114 * [backup-simplify]: Simplify (+ 0 0) into 0
12.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.114 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.114 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.114 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.115 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
12.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.115 * [taylor]: Taking taylor expansion of y in x
12.115 * [backup-simplify]: Simplify y into y
12.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.115 * [taylor]: Taking taylor expansion of x in x
12.115 * [backup-simplify]: Simplify 0 into 0
12.115 * [backup-simplify]: Simplify 1 into 1
12.115 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.115 * [taylor]: Taking taylor expansion of z in x
12.115 * [backup-simplify]: Simplify z into z
12.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.115 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.115 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.115 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.115 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.115 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.116 * [backup-simplify]: Simplify (+ 0 0) into 0
12.116 * [backup-simplify]: Simplify (+ 0 0) into 0
12.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.116 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.116 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.116 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.117 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
12.117 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
12.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
12.117 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.117 * [taylor]: Taking taylor expansion of y in y
12.117 * [backup-simplify]: Simplify 0 into 0
12.117 * [backup-simplify]: Simplify 1 into 1
12.117 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.117 * [taylor]: Taking taylor expansion of z in y
12.117 * [backup-simplify]: Simplify z into z
12.117 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.117 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.118 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
12.118 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.118 * [backup-simplify]: Simplify (+ 0 0) into 0
12.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
12.118 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.118 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.118 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.118 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.119 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
12.119 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
12.119 * [taylor]: Taking taylor expansion of z in z
12.119 * [backup-simplify]: Simplify 0 into 0
12.119 * [backup-simplify]: Simplify 1 into 1
12.119 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.119 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.119 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.119 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.120 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.120 * [backup-simplify]: Simplify 0 into 0
12.120 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.120 * [taylor]: Taking taylor expansion of 0 in y
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 0 into 0
12.121 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) 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 0 into 0
12.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
12.123 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.124 * [backup-simplify]: Simplify (* 1 1) into 1
12.124 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.124 * [backup-simplify]: Simplify (+ 1 0) into 1
12.125 * [backup-simplify]: Simplify (+ 0 1) into 1
12.125 * [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)))))
12.126 * [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)))
12.126 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
12.126 * [taylor]: Taking taylor expansion of 1/2 in y
12.126 * [backup-simplify]: Simplify 1/2 into 1/2
12.126 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
12.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
12.126 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
12.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.126 * [taylor]: Taking taylor expansion of y in y
12.126 * [backup-simplify]: Simplify 0 into 0
12.126 * [backup-simplify]: Simplify 1 into 1
12.126 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.126 * [taylor]: Taking taylor expansion of z in y
12.126 * [backup-simplify]: Simplify z into z
12.126 * [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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.126 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
12.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
12.127 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.127 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.127 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.127 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.128 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
12.128 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
12.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
12.128 * [taylor]: Taking taylor expansion of 1/2 in z
12.128 * [backup-simplify]: Simplify 1/2 into 1/2
12.128 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
12.128 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.128 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.128 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.128 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.129 * [taylor]: Taking taylor expansion of z in z
12.129 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify 1 into 1
12.129 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.131 * [backup-simplify]: Simplify 0 into 0
12.131 * [taylor]: Taking taylor expansion of 0 in z
12.131 * [backup-simplify]: Simplify 0 into 0
12.131 * [backup-simplify]: Simplify 0 into 0
12.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.132 * [backup-simplify]: Simplify (* 1 1) into 1
12.132 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.132 * [backup-simplify]: Simplify (+ 1 0) into 1
12.133 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
12.133 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
12.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
12.133 * [taylor]: Taking taylor expansion of 1/2 in z
12.133 * [backup-simplify]: Simplify 1/2 into 1/2
12.133 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
12.133 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.133 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.134 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
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
12.135 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.137 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
12.138 * [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))
12.138 * [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
12.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
12.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.138 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.138 * [taylor]: Taking taylor expansion of y in z
12.138 * [backup-simplify]: Simplify y into y
12.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.138 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.138 * [taylor]: Taking taylor expansion of x in z
12.138 * [backup-simplify]: Simplify x into x
12.138 * [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 z
12.139 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.139 * [taylor]: Taking taylor expansion of z in z
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 * [backup-simplify]: Simplify (+ 0 1) into 1
12.140 * [backup-simplify]: Simplify (+ 0 1) 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
12.141 * [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 0.3333333333333333) in z
12.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.142 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.142 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.143 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
12.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.143 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.143 * [taylor]: Taking taylor expansion of y in y
12.143 * [backup-simplify]: Simplify 0 into 0
12.143 * [backup-simplify]: Simplify 1 into 1
12.143 * [backup-simplify]: Simplify (* 1 1) into 1
12.143 * [backup-simplify]: Simplify (/ 1 1) into 1
12.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.143 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.143 * [taylor]: Taking taylor expansion of x in y
12.143 * [backup-simplify]: Simplify x into x
12.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.143 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.143 * [taylor]: Taking taylor expansion of z in y
12.143 * [backup-simplify]: Simplify z into z
12.143 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.144 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.144 * [backup-simplify]: Simplify (+ 1 0) into 1
12.144 * [backup-simplify]: Simplify (sqrt 1) into 1
12.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.145 * [backup-simplify]: Simplify (+ 0 0) into 0
12.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.146 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.146 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.146 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.146 * [taylor]: Taking taylor expansion of y in x
12.146 * [backup-simplify]: Simplify y into y
12.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.147 * [taylor]: Taking taylor expansion of x in x
12.147 * [backup-simplify]: Simplify 0 into 0
12.147 * [backup-simplify]: Simplify 1 into 1
12.147 * [backup-simplify]: Simplify (* 1 1) into 1
12.147 * [backup-simplify]: Simplify (/ 1 1) into 1
12.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.147 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.147 * [taylor]: Taking taylor expansion of z in x
12.147 * [backup-simplify]: Simplify z into z
12.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.147 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.148 * [backup-simplify]: Simplify (+ 1 0) into 1
12.148 * [backup-simplify]: Simplify (+ 0 1) into 1
12.148 * [backup-simplify]: Simplify (sqrt 1) into 1
12.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.149 * [backup-simplify]: Simplify (+ 0 0) into 0
12.149 * [backup-simplify]: Simplify (+ 0 0) into 0
12.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.150 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.150 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.150 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.151 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.151 * [taylor]: Taking taylor expansion of y in x
12.151 * [backup-simplify]: Simplify y into y
12.151 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.151 * [taylor]: Taking taylor expansion of x in x
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 x
12.151 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.151 * [taylor]: Taking taylor expansion of z in x
12.151 * [backup-simplify]: Simplify z into z
12.151 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.152 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.152 * [backup-simplify]: Simplify (+ 1 0) into 1
12.152 * [backup-simplify]: Simplify (+ 0 1) into 1
12.152 * [backup-simplify]: Simplify (sqrt 1) into 1
12.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.153 * [backup-simplify]: Simplify (+ 0 0) into 0
12.154 * [backup-simplify]: Simplify (+ 0 0) into 0
12.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.154 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.154 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.154 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.154 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.156 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
12.156 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.156 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.156 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.156 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.157 * [taylor]: Taking taylor expansion of 0 in y
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.157 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.157 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.157 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.160 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.161 * [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))))
12.162 * [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))))
12.162 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.162 * [taylor]: Taking taylor expansion of 1/2 in y
12.162 * [backup-simplify]: Simplify 1/2 into 1/2
12.162 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.162 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.162 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.162 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.162 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
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 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.163 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (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 (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.163 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.163 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.163 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.163 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.164 * [taylor]: Taking taylor expansion of (pow y 2) 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
12.164 * [backup-simplify]: Simplify (* 1 1) into 1
12.165 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.167 * [backup-simplify]: Simplify (+ 0 0) into 0
12.167 * [taylor]: Taking taylor expansion of 0 in z
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [taylor]: Taking taylor expansion of 0 in z
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [taylor]: Taking taylor expansion of 0 in z
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.171 * [backup-simplify]: Simplify (+ 0 0) into 0
12.172 * [backup-simplify]: Simplify (+ 0 0) into 0
12.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.173 * [taylor]: Taking taylor expansion of 0 in y
12.173 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.176 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.176 * [taylor]: Taking taylor expansion of 1/2 in z
12.176 * [backup-simplify]: Simplify 1/2 into 1/2
12.177 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.177 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.177 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.177 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.177 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.177 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.177 * [taylor]: Taking taylor expansion of z in z
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (* 1 1) into 1
12.179 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.184 * [taylor]: Taking taylor expansion of 0 in z
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.186 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.189 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.189 * [backup-simplify]: Simplify (+ 0 0) into 0
12.190 * [backup-simplify]: Simplify (+ 0 0) into 0
12.191 * [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))))))
12.195 * [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))))))
12.195 * [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
12.195 * [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
12.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
12.195 * [taylor]: Taking taylor expansion of 1/4 in y
12.195 * [backup-simplify]: Simplify 1/4 into 1/4
12.195 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
12.195 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.195 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.195 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.196 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.197 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 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 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.197 * [taylor]: Taking taylor expansion of y in y
12.197 * [backup-simplify]: Simplify 0 into 0
12.197 * [backup-simplify]: Simplify 1 into 1
12.197 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.197 * [backup-simplify]: Simplify (* 1 1) into 1
12.197 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.198 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.198 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
12.198 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
12.198 * [taylor]: Taking taylor expansion of 1/8 in y
12.198 * [backup-simplify]: Simplify 1/8 into 1/8
12.198 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
12.198 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.198 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.198 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.199 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.199 * [taylor]: Taking taylor expansion of y in y
12.199 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify 1 into 1
12.200 * [backup-simplify]: Simplify (* 1 1) into 1
12.200 * [backup-simplify]: Simplify (* 1 1) into 1
12.201 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.201 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
12.201 * [taylor]: Taking taylor expansion of 1/8 in y
12.201 * [backup-simplify]: Simplify 1/8 into 1/8
12.201 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
12.201 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.201 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.201 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.202 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.202 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.202 * [taylor]: Taking taylor expansion of z in y
12.202 * [backup-simplify]: Simplify z into z
12.202 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.203 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.203 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
12.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.204 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.204 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.205 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.207 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.218 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.219 * [backup-simplify]: Simplify (+ 0 0) into 0
12.219 * [backup-simplify]: Simplify (+ 0 0) into 0
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 * [taylor]: Taking taylor expansion of 0 in z
12.219 * [backup-simplify]: Simplify 0 into 0
12.220 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.220 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.226 * [backup-simplify]: Simplify (+ 0 0) into 0
12.226 * [taylor]: Taking taylor expansion of 0 in z
12.226 * [backup-simplify]: Simplify 0 into 0
12.226 * [taylor]: Taking taylor expansion of 0 in z
12.226 * [backup-simplify]: Simplify 0 into 0
12.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.228 * [taylor]: Taking taylor expansion of 0 in z
12.228 * [backup-simplify]: Simplify 0 into 0
12.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.232 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
12.234 * [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))
12.234 * [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
12.234 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
12.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.234 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.234 * [taylor]: Taking taylor expansion of y in z
12.234 * [backup-simplify]: Simplify y into y
12.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.234 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.234 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.234 * [taylor]: Taking taylor expansion of x in z
12.234 * [backup-simplify]: Simplify x into x
12.235 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.235 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.235 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.235 * [taylor]: Taking taylor expansion of z in z
12.235 * [backup-simplify]: Simplify 0 into 0
12.235 * [backup-simplify]: Simplify 1 into 1
12.235 * [backup-simplify]: Simplify (* 1 1) into 1
12.236 * [backup-simplify]: Simplify (/ 1 1) into 1
12.236 * [backup-simplify]: Simplify (+ 0 1) into 1
12.237 * [backup-simplify]: Simplify (+ 0 1) into 1
12.237 * [backup-simplify]: Simplify (sqrt 1) into 1
12.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.240 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.240 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.241 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
12.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.241 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.242 * [taylor]: Taking taylor expansion of y in y
12.242 * [backup-simplify]: Simplify 0 into 0
12.242 * [backup-simplify]: Simplify 1 into 1
12.242 * [backup-simplify]: Simplify (* 1 1) into 1
12.242 * [backup-simplify]: Simplify (/ 1 1) into 1
12.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.242 * [taylor]: Taking taylor expansion of x in y
12.243 * [backup-simplify]: Simplify x into x
12.243 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.243 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.243 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.243 * [taylor]: Taking taylor expansion of z in y
12.243 * [backup-simplify]: Simplify z into z
12.243 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.243 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.243 * [backup-simplify]: Simplify (+ 1 0) into 1
12.244 * [backup-simplify]: Simplify (sqrt 1) into 1
12.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.246 * [backup-simplify]: Simplify (+ 0 0) into 0
12.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.247 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.247 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.247 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.248 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.248 * [taylor]: Taking taylor expansion of y in x
12.248 * [backup-simplify]: Simplify y into y
12.248 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.248 * [taylor]: Taking taylor expansion of x in x
12.248 * [backup-simplify]: Simplify 0 into 0
12.248 * [backup-simplify]: Simplify 1 into 1
12.249 * [backup-simplify]: Simplify (* 1 1) into 1
12.249 * [backup-simplify]: Simplify (/ 1 1) into 1
12.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.249 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.249 * [taylor]: Taking taylor expansion of z in x
12.249 * [backup-simplify]: Simplify z into z
12.249 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.249 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.250 * [backup-simplify]: Simplify (+ 1 0) into 1
12.250 * [backup-simplify]: Simplify (+ 0 1) into 1
12.251 * [backup-simplify]: Simplify (sqrt 1) into 1
12.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.253 * [backup-simplify]: Simplify (+ 0 0) into 0
12.253 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.254 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.254 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.254 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.254 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.255 * [taylor]: Taking taylor expansion of y in x
12.255 * [backup-simplify]: Simplify y into y
12.255 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.256 * [taylor]: Taking taylor expansion of x in x
12.256 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify 1 into 1
12.256 * [backup-simplify]: Simplify (* 1 1) into 1
12.256 * [backup-simplify]: Simplify (/ 1 1) into 1
12.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.257 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.257 * [taylor]: Taking taylor expansion of z in x
12.257 * [backup-simplify]: Simplify z into z
12.257 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.257 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.257 * [backup-simplify]: Simplify (+ 1 0) into 1
12.257 * [backup-simplify]: Simplify (+ 0 1) into 1
12.258 * [backup-simplify]: Simplify (sqrt 1) into 1
12.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.259 * [backup-simplify]: Simplify (+ 0 0) into 0
12.259 * [backup-simplify]: Simplify (+ 0 0) into 0
12.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.259 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.260 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.261 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
12.261 * [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
12.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.262 * [taylor]: Taking taylor expansion of 0 in y
12.262 * [backup-simplify]: Simplify 0 into 0
12.262 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.262 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.262 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.262 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.265 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.265 * [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))))
12.266 * [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))))
12.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.266 * [taylor]: Taking taylor expansion of 1/2 in y
12.266 * [backup-simplify]: Simplify 1/2 into 1/2
12.266 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
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
12.267 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.267 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.267 * [taylor]: Taking taylor expansion of z in y
12.267 * [backup-simplify]: Simplify z into z
12.267 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.268 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.268 * [taylor]: Taking taylor expansion of 1/2 in y
12.268 * [backup-simplify]: Simplify 1/2 into 1/2
12.268 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.268 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.268 * [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 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.268 * [taylor]: Taking taylor expansion of y in y
12.268 * [backup-simplify]: Simplify 0 into 0
12.268 * [backup-simplify]: Simplify 1 into 1
12.269 * [backup-simplify]: Simplify (* 1 1) into 1
12.269 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.271 * [backup-simplify]: Simplify (+ 0 0) into 0
12.271 * [taylor]: Taking taylor expansion of 0 in z
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [taylor]: Taking taylor expansion of 0 in z
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [taylor]: Taking taylor expansion of 0 in z
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.273 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.274 * [backup-simplify]: Simplify (+ 0 0) into 0
12.274 * [backup-simplify]: Simplify (+ 0 0) into 0
12.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.275 * [taylor]: Taking taylor expansion of 0 in y
12.275 * [backup-simplify]: Simplify 0 into 0
12.276 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.278 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.278 * [taylor]: Taking taylor expansion of 1/2 in z
12.278 * [backup-simplify]: Simplify 1/2 into 1/2
12.278 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.279 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.279 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.279 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.279 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.279 * [taylor]: Taking taylor expansion of z in z
12.279 * [backup-simplify]: Simplify 0 into 0
12.279 * [backup-simplify]: Simplify 1 into 1
12.280 * [backup-simplify]: Simplify (* 1 1) into 1
12.280 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [taylor]: Taking taylor expansion of 0 in z
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.282 * [taylor]: Taking taylor expansion of 0 in z
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.285 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.286 * [backup-simplify]: Simplify (+ 0 0) into 0
12.286 * [backup-simplify]: Simplify (+ 0 0) into 0
12.287 * [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))))))
12.288 * [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))))))
12.288 * [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
12.288 * [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
12.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
12.288 * [taylor]: Taking taylor expansion of 1/4 in y
12.288 * [backup-simplify]: Simplify 1/4 into 1/4
12.288 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
12.288 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.288 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.291 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.292 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.292 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.292 * [taylor]: Taking taylor expansion of z in y
12.292 * [backup-simplify]: Simplify z into z
12.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.292 * [taylor]: Taking taylor expansion of y in y
12.292 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify 1 into 1
12.292 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.292 * [backup-simplify]: Simplify (* 1 1) into 1
12.292 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.293 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.293 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
12.293 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
12.293 * [taylor]: Taking taylor expansion of 1/8 in y
12.293 * [backup-simplify]: Simplify 1/8 into 1/8
12.293 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
12.293 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.293 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.294 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.294 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.294 * [taylor]: Taking taylor expansion of y in y
12.294 * [backup-simplify]: Simplify 0 into 0
12.295 * [backup-simplify]: Simplify 1 into 1
12.295 * [backup-simplify]: Simplify (* 1 1) into 1
12.295 * [backup-simplify]: Simplify (* 1 1) into 1
12.296 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.296 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
12.296 * [taylor]: Taking taylor expansion of 1/8 in y
12.296 * [backup-simplify]: Simplify 1/8 into 1/8
12.296 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
12.296 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.297 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.298 * [taylor]: Taking taylor expansion of (pow z 4) 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 (* (pow z 2) (pow z 2)) into (pow z 4)
12.298 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
12.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.299 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.299 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.300 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.309 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.309 * [backup-simplify]: Simplify (+ 0 0) into 0
12.309 * [backup-simplify]: Simplify (+ 0 0) into 0
12.309 * [backup-simplify]: Simplify (- 0) into 0
12.309 * [taylor]: Taking taylor expansion of 0 in z
12.309 * [backup-simplify]: Simplify 0 into 0
12.310 * [taylor]: Taking taylor expansion of 0 in z
12.310 * [backup-simplify]: Simplify 0 into 0
12.310 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.310 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.314 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [taylor]: Taking taylor expansion of 0 in z
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [taylor]: Taking taylor expansion of 0 in z
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.314 * [taylor]: Taking taylor expansion of 0 in z
12.314 * [backup-simplify]: Simplify 0 into 0
12.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.317 * [backup-simplify]: Simplify 0 into 0
12.317 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
12.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.318 * [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))
12.318 * [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
12.318 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in z
12.318 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in z
12.318 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in z
12.318 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in z
12.318 * [taylor]: Taking taylor expansion of 1/4 in z
12.318 * [backup-simplify]: Simplify 1/4 into 1/4
12.318 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
12.318 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
12.318 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.318 * [taylor]: Taking taylor expansion of y in z
12.318 * [backup-simplify]: Simplify y into y
12.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
12.318 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.318 * [taylor]: Taking taylor expansion of x in z
12.318 * [backup-simplify]: Simplify x into x
12.318 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.318 * [taylor]: Taking taylor expansion of z in z
12.318 * [backup-simplify]: Simplify 0 into 0
12.318 * [backup-simplify]: Simplify 1 into 1
12.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.318 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.318 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.318 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
12.318 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow x 2))) into (log (+ (pow y 2) (pow x 2)))
12.318 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow x 2)))) into (* 1/4 (log (+ (pow y 2) (pow x 2))))
12.318 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) into (pow (+ (pow y 2) (pow x 2)) 1/4)
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
12.319 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in y
12.319 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in y
12.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in y
12.319 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
12.319 * [taylor]: Taking taylor expansion of 1/4 in y
12.319 * [backup-simplify]: Simplify 1/4 into 1/4
12.319 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
12.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
12.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.319 * [taylor]: Taking taylor expansion of y in y
12.319 * [backup-simplify]: Simplify 0 into 0
12.319 * [backup-simplify]: Simplify 1 into 1
12.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
12.319 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.319 * [taylor]: Taking taylor expansion of x in y
12.319 * [backup-simplify]: Simplify x into x
12.319 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.320 * [taylor]: Taking taylor expansion of z in y
12.320 * [backup-simplify]: Simplify z into z
12.320 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.320 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.320 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.320 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
12.320 * [backup-simplify]: Simplify (log (+ (pow z 2) (pow x 2))) into (log (+ (pow x 2) (pow z 2)))
12.320 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2))))
12.320 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
12.320 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.320 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.320 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.321 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in x
12.321 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in x
12.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
12.321 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
12.321 * [taylor]: Taking taylor expansion of 1/4 in x
12.321 * [backup-simplify]: Simplify 1/4 into 1/4
12.321 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.321 * [taylor]: Taking taylor expansion of y in x
12.321 * [backup-simplify]: Simplify y into y
12.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.321 * [taylor]: Taking taylor expansion of x in x
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 1 into 1
12.321 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.321 * [taylor]: Taking taylor expansion of z in x
12.321 * [backup-simplify]: Simplify z into z
12.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.321 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.321 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.321 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.321 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
12.322 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
12.322 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
12.322 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.322 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.322 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.323 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in x
12.323 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in x
12.323 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
12.323 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
12.323 * [taylor]: Taking taylor expansion of 1/4 in x
12.323 * [backup-simplify]: Simplify 1/4 into 1/4
12.323 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.323 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.323 * [taylor]: Taking taylor expansion of y in x
12.323 * [backup-simplify]: Simplify y into y
12.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.323 * [taylor]: Taking taylor expansion of x in x
12.323 * [backup-simplify]: Simplify 0 into 0
12.323 * [backup-simplify]: Simplify 1 into 1
12.323 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.323 * [taylor]: Taking taylor expansion of z in x
12.323 * [backup-simplify]: Simplify z into z
12.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.323 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.323 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.323 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.324 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
12.324 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
12.324 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
12.324 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.324 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.324 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.325 * [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))
12.325 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333)) in y
12.325 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/4) in y
12.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) in y
12.325 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow z 2)))) in y
12.325 * [taylor]: Taking taylor expansion of 1/4 in y
12.325 * [backup-simplify]: Simplify 1/4 into 1/4
12.325 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
12.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.325 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.325 * [taylor]: Taking taylor expansion of y in y
12.325 * [backup-simplify]: Simplify 0 into 0
12.325 * [backup-simplify]: Simplify 1 into 1
12.325 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.325 * [taylor]: Taking taylor expansion of z in y
12.325 * [backup-simplify]: Simplify z into z
12.325 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.326 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.326 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
12.326 * [backup-simplify]: Simplify (* 1/4 (log (pow z 2))) into (* 1/4 (log (pow z 2)))
12.326 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow z 2)))) into (pow (pow z 2) 1/4)
12.326 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.326 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.326 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.327 * [backup-simplify]: Simplify (* (pow (pow z 2) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt z) (sqrt 0.3333333333333333))
12.327 * [taylor]: Taking taylor expansion of (* (sqrt z) (sqrt 0.3333333333333333)) in z
12.327 * [taylor]: Taking taylor expansion of (sqrt z) in z
12.327 * [taylor]: Taking taylor expansion of z in z
12.327 * [backup-simplify]: Simplify 0 into 0
12.327 * [backup-simplify]: Simplify 1 into 1
12.327 * [backup-simplify]: Simplify (sqrt 0) into 0
12.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.328 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.328 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.328 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.328 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.329 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.329 * [backup-simplify]: Simplify 0 into 0
12.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.329 * [backup-simplify]: Simplify (+ 0 0) into 0
12.330 * [backup-simplify]: Simplify (+ 0 0) into 0
12.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0
12.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0
12.331 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.332 * [backup-simplify]: Simplify (+ (* (pow (+ (pow y 2) (pow z 2)) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.332 * [taylor]: Taking taylor expansion of 0 in y
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 0 into 0
12.332 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.332 * [backup-simplify]: Simplify (+ 0 0) into 0
12.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
12.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow z 2)))) into 0
12.333 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.334 * [backup-simplify]: Simplify (+ (* (pow (pow z 2) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.334 * [taylor]: Taking taylor expansion of 0 in z
12.334 * [backup-simplify]: Simplify 0 into 0
12.334 * [backup-simplify]: Simplify 0 into 0
12.336 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.338 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.340 * [backup-simplify]: Simplify (* 1 1) into 1
12.340 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.340 * [backup-simplify]: Simplify (+ 1 0) into 1
12.341 * [backup-simplify]: Simplify (+ 0 1) into 1
12.342 * [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)))
12.343 * [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))))
12.344 * [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))
12.344 * [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)))
12.344 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333))) in y
12.344 * [taylor]: Taking taylor expansion of 1/4 in y
12.344 * [backup-simplify]: Simplify 1/4 into 1/4
12.344 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333)) in y
12.344 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) in y
12.345 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) in y
12.345 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) in y
12.345 * [taylor]: Taking taylor expansion of 1/4 in y
12.345 * [backup-simplify]: Simplify 1/4 into 1/4
12.345 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))) in y
12.345 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) in y
12.345 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 3) in y
12.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.345 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.345 * [taylor]: Taking taylor expansion of y in y
12.345 * [backup-simplify]: Simplify 0 into 0
12.345 * [backup-simplify]: Simplify 1 into 1
12.345 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.345 * [taylor]: Taking taylor expansion of z in y
12.345 * [backup-simplify]: Simplify z into z
12.345 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.345 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.345 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.345 * [backup-simplify]: Simplify (* (pow z 2) (pow z 4)) into (pow z 6)
12.345 * [backup-simplify]: Simplify (/ 1 (pow z 6)) into (/ 1 (pow z 6))
12.345 * [backup-simplify]: Simplify (log (/ 1 (pow z 6))) into (log (/ 1 (pow z 6)))
12.345 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow z 6)))) into (* 1/4 (log (/ 1 (pow z 6))))
12.345 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow z 6))))) into (pow (/ 1 (pow z 6)) 1/4)
12.345 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.346 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.346 * [backup-simplify]: Simplify (* (pow (/ 1 (pow z 6)) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))
12.347 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) into (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)))
12.347 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) in z
12.347 * [taylor]: Taking taylor expansion of 1/4 in z
12.347 * [backup-simplify]: Simplify 1/4 into 1/4
12.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)) in z
12.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
12.347 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
12.347 * [taylor]: Taking taylor expansion of (pow z 3) in z
12.347 * [taylor]: Taking taylor expansion of z in z
12.347 * [backup-simplify]: Simplify 0 into 0
12.347 * [backup-simplify]: Simplify 1 into 1
12.347 * [backup-simplify]: Simplify (* 1 1) into 1
12.347 * [backup-simplify]: Simplify (* 1 1) into 1
12.348 * [backup-simplify]: Simplify (/ 1 1) into 1
12.348 * [backup-simplify]: Simplify (sqrt 0) into 0
12.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.349 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.349 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.353 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.356 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.357 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.361 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.363 * [taylor]: Taking taylor expansion of 0 in z
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 0 into 0
12.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.364 * [backup-simplify]: Simplify (* 1 1) into 1
12.365 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.365 * [backup-simplify]: Simplify (+ 1 0) into 1
12.367 * [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))
12.367 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/4 (/ 1 (pow z 2)))
12.368 * [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))))
12.369 * [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)))
12.369 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) in z
12.369 * [taylor]: Taking taylor expansion of 1/4 in z
12.369 * [backup-simplify]: Simplify 1/4 into 1/4
12.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)) in z
12.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
12.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
12.369 * [taylor]: Taking taylor expansion of (pow z 3) in z
12.369 * [taylor]: Taking taylor expansion of z in z
12.369 * [backup-simplify]: Simplify 0 into 0
12.369 * [backup-simplify]: Simplify 1 into 1
12.370 * [backup-simplify]: Simplify (* 1 1) into 1
12.370 * [backup-simplify]: Simplify (* 1 1) into 1
12.371 * [backup-simplify]: Simplify (/ 1 1) into 1
12.371 * [backup-simplify]: Simplify (sqrt 0) into 0
12.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.372 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.372 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.372 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.373 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.385 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.386 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.390 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.391 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.394 * [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))))))))
12.394 * [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))
12.394 * [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
12.394 * [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
12.394 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
12.394 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
12.394 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
12.394 * [taylor]: Taking taylor expansion of 1/4 in z
12.394 * [backup-simplify]: Simplify 1/4 into 1/4
12.394 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.394 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.394 * [taylor]: Taking taylor expansion of y in z
12.395 * [backup-simplify]: Simplify y into y
12.395 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.395 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.395 * [taylor]: Taking taylor expansion of x in z
12.395 * [backup-simplify]: Simplify x into x
12.395 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.395 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.395 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.395 * [taylor]: Taking taylor expansion of z in z
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [backup-simplify]: Simplify 1 into 1
12.395 * [backup-simplify]: Simplify (* 1 1) into 1
12.395 * [backup-simplify]: Simplify (/ 1 1) into 1
12.396 * [backup-simplify]: Simplify (+ 0 1) into 1
12.397 * [backup-simplify]: Simplify (+ 0 1) into 1
12.398 * [backup-simplify]: Simplify (log 1) into 0
12.398 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.399 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
12.399 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
12.399 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.399 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.399 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.399 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.400 * [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
12.400 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
12.400 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
12.400 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
12.400 * [taylor]: Taking taylor expansion of 1/4 in y
12.400 * [backup-simplify]: Simplify 1/4 into 1/4
12.400 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.400 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.400 * [taylor]: Taking taylor expansion of y in y
12.400 * [backup-simplify]: Simplify 0 into 0
12.400 * [backup-simplify]: Simplify 1 into 1
12.401 * [backup-simplify]: Simplify (* 1 1) into 1
12.401 * [backup-simplify]: Simplify (/ 1 1) into 1
12.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.401 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.401 * [taylor]: Taking taylor expansion of x in y
12.401 * [backup-simplify]: Simplify x into x
12.401 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.401 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.401 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.401 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.401 * [taylor]: Taking taylor expansion of z in y
12.401 * [backup-simplify]: Simplify z into z
12.401 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.402 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.402 * [backup-simplify]: Simplify (+ 1 0) into 1
12.402 * [backup-simplify]: Simplify (log 1) into 0
12.403 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.403 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
12.403 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
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
12.404 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.405 * [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
12.405 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.405 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.405 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.405 * [taylor]: Taking taylor expansion of 1/4 in x
12.405 * [backup-simplify]: Simplify 1/4 into 1/4
12.405 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.405 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.405 * [taylor]: Taking taylor expansion of y in x
12.405 * [backup-simplify]: Simplify y into y
12.405 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.405 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.405 * [taylor]: Taking taylor expansion of x in x
12.405 * [backup-simplify]: Simplify 0 into 0
12.405 * [backup-simplify]: Simplify 1 into 1
12.406 * [backup-simplify]: Simplify (* 1 1) into 1
12.406 * [backup-simplify]: Simplify (/ 1 1) into 1
12.406 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.406 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.406 * [taylor]: Taking taylor expansion of z in x
12.406 * [backup-simplify]: Simplify z into z
12.406 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.406 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.407 * [backup-simplify]: Simplify (+ 1 0) into 1
12.407 * [backup-simplify]: Simplify (+ 0 1) into 1
12.407 * [backup-simplify]: Simplify (log 1) into 0
12.408 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.408 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.408 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.408 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.408 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.408 * [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 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
12.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.409 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.409 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.409 * [taylor]: Taking taylor expansion of 1/4 in x
12.409 * [backup-simplify]: Simplify 1/4 into 1/4
12.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.410 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.410 * [taylor]: Taking taylor expansion of y in x
12.410 * [backup-simplify]: Simplify y into y
12.410 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.410 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.410 * [taylor]: Taking taylor expansion of x in x
12.410 * [backup-simplify]: Simplify 0 into 0
12.410 * [backup-simplify]: Simplify 1 into 1
12.410 * [backup-simplify]: Simplify (* 1 1) into 1
12.411 * [backup-simplify]: Simplify (/ 1 1) into 1
12.411 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.411 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.411 * [taylor]: Taking taylor expansion of z in x
12.411 * [backup-simplify]: Simplify z into z
12.411 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.411 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.411 * [backup-simplify]: Simplify (+ 1 0) into 1
12.412 * [backup-simplify]: Simplify (+ 0 1) into 1
12.412 * [backup-simplify]: Simplify (log 1) into 0
12.413 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.413 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.413 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.413 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.413 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.413 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.413 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.414 * [backup-simplify]: Simplify (* (pow x -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.415 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in y
12.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.415 * [taylor]: Taking taylor expansion of x in y
12.415 * [backup-simplify]: Simplify x into x
12.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.415 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.415 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.415 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.415 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.416 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.417 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.417 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in z
12.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.417 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.417 * [taylor]: Taking taylor expansion of x in z
12.417 * [backup-simplify]: Simplify x into x
12.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.417 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.417 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.417 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.417 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.418 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.419 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.420 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.422 * [backup-simplify]: Simplify (+ 0 0) into 0
12.422 * [backup-simplify]: Simplify (+ 0 0) into 0
12.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.424 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
12.425 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
12.426 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.426 * [taylor]: Taking taylor expansion of 0 in y
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [taylor]: Taking taylor expansion of 0 in z
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.427 * [taylor]: Taking taylor expansion of 0 in z
12.427 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.431 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.433 * [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)))))
12.434 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.435 * [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))))
12.436 * [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)))))
12.438 * [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)))))
12.438 * [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
12.438 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.438 * [taylor]: Taking taylor expansion of 1/4 in y
12.438 * [backup-simplify]: Simplify 1/4 into 1/4
12.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.438 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.438 * [taylor]: Taking taylor expansion of x in y
12.438 * [backup-simplify]: Simplify x into x
12.438 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.438 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.438 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.438 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.438 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.439 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.439 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.440 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.440 * [taylor]: Taking taylor expansion of y in y
12.440 * [backup-simplify]: Simplify 0 into 0
12.440 * [backup-simplify]: Simplify 1 into 1
12.440 * [backup-simplify]: Simplify (* 1 1) into 1
12.441 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.441 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in y
12.441 * [taylor]: Taking taylor expansion of 1/4 in y
12.441 * [backup-simplify]: Simplify 1/4 into 1/4
12.441 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.441 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.441 * [taylor]: Taking taylor expansion of x in y
12.441 * [backup-simplify]: Simplify x into x
12.441 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.442 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.442 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.442 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.442 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.442 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.442 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.443 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.443 * [taylor]: Taking taylor expansion of z in y
12.443 * [backup-simplify]: Simplify z into z
12.443 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.444 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.450 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.452 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) into (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))
12.452 * [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))))
12.452 * [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))))
12.452 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
12.452 * [taylor]: Taking taylor expansion of 1/4 in z
12.452 * [backup-simplify]: Simplify 1/4 into 1/4
12.452 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.452 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.452 * [taylor]: Taking taylor expansion of x in z
12.452 * [backup-simplify]: Simplify x into x
12.452 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.453 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.453 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.453 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.453 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.453 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.453 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.453 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.453 * [taylor]: Taking taylor expansion of z in z
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 1 into 1
12.454 * [backup-simplify]: Simplify (* 1 1) into 1
12.454 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.458 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.458 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.459 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [taylor]: Taking taylor expansion of 0 in z
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.461 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.461 * [taylor]: Taking taylor expansion of 0 in z
12.461 * [backup-simplify]: Simplify 0 into 0
12.461 * [backup-simplify]: Simplify 0 into 0
12.462 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 x))) (sqrt 0.3333333333333333)) into (* (sqrt x) (sqrt 0.3333333333333333))
12.462 * [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))
12.462 * [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
12.462 * [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
12.462 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
12.462 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
12.462 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
12.462 * [taylor]: Taking taylor expansion of 1/4 in z
12.462 * [backup-simplify]: Simplify 1/4 into 1/4
12.462 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.462 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.462 * [taylor]: Taking taylor expansion of y in z
12.462 * [backup-simplify]: Simplify y into y
12.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.462 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.462 * [taylor]: Taking taylor expansion of x in z
12.462 * [backup-simplify]: Simplify x into x
12.462 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.463 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.463 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.463 * [taylor]: Taking taylor expansion of z in z
12.463 * [backup-simplify]: Simplify 0 into 0
12.463 * [backup-simplify]: Simplify 1 into 1
12.463 * [backup-simplify]: Simplify (* 1 1) into 1
12.463 * [backup-simplify]: Simplify (/ 1 1) into 1
12.464 * [backup-simplify]: Simplify (+ 0 1) into 1
12.464 * [backup-simplify]: Simplify (+ 0 1) into 1
12.464 * [backup-simplify]: Simplify (log 1) into 0
12.464 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.464 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
12.464 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
12.464 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.464 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.464 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.465 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.465 * [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
12.465 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
12.465 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
12.465 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (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 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
12.466 * [backup-simplify]: Simplify (* 1 1) into 1
12.466 * [backup-simplify]: Simplify (/ 1 1) into 1
12.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.466 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.466 * [taylor]: Taking taylor expansion of x in y
12.466 * [backup-simplify]: Simplify x into x
12.466 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.466 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.466 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.466 * [taylor]: Taking taylor expansion of z in y
12.466 * [backup-simplify]: Simplify z into z
12.466 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.466 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.466 * [backup-simplify]: Simplify (+ 1 0) into 1
12.467 * [backup-simplify]: Simplify (log 1) into 0
12.467 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.467 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
12.467 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
12.467 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.467 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.467 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.467 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.468 * [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
12.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.468 * [taylor]: Taking taylor expansion of 1/4 in x
12.468 * [backup-simplify]: Simplify 1/4 into 1/4
12.468 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.468 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.468 * [taylor]: Taking taylor expansion of y in x
12.468 * [backup-simplify]: Simplify y into y
12.468 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.468 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.468 * [taylor]: Taking taylor expansion of x in x
12.468 * [backup-simplify]: Simplify 0 into 0
12.468 * [backup-simplify]: Simplify 1 into 1
12.468 * [backup-simplify]: Simplify (* 1 1) into 1
12.469 * [backup-simplify]: Simplify (/ 1 1) into 1
12.469 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.469 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.469 * [taylor]: Taking taylor expansion of z in x
12.469 * [backup-simplify]: Simplify z into z
12.469 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.469 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.469 * [backup-simplify]: Simplify (+ 1 0) into 1
12.469 * [backup-simplify]: Simplify (+ 0 1) into 1
12.470 * [backup-simplify]: Simplify (log 1) into 0
12.470 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.470 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.470 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.470 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.470 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.471 * [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
12.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.471 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.471 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.471 * [taylor]: Taking taylor expansion of 1/4 in x
12.471 * [backup-simplify]: Simplify 1/4 into 1/4
12.471 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.471 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.471 * [taylor]: Taking taylor expansion of y in x
12.471 * [backup-simplify]: Simplify y into y
12.471 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.471 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.471 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.471 * [taylor]: Taking taylor expansion of x in x
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (* 1 1) into 1
12.472 * [backup-simplify]: Simplify (/ 1 1) into 1
12.472 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.472 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.472 * [taylor]: Taking taylor expansion of z in x
12.472 * [backup-simplify]: Simplify z into z
12.472 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.472 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.472 * [backup-simplify]: Simplify (+ 1 0) into 1
12.472 * [backup-simplify]: Simplify (+ 0 1) into 1
12.473 * [backup-simplify]: Simplify (log 1) into 0
12.473 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.473 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.473 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.473 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.473 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.473 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.473 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.474 * [backup-simplify]: Simplify (* (pow x -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.474 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in y
12.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.474 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.474 * [taylor]: Taking taylor expansion of x in y
12.474 * [backup-simplify]: Simplify x into x
12.474 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.474 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.474 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.474 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.475 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.475 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in z
12.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.475 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.475 * [taylor]: Taking taylor expansion of x in z
12.475 * [backup-simplify]: Simplify x into x
12.475 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.476 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.476 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.476 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.476 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.476 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.477 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.477 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.479 * [backup-simplify]: Simplify (+ 0 0) into 0
12.479 * [backup-simplify]: Simplify (+ 0 0) into 0
12.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.481 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
12.482 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
12.483 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.483 * [taylor]: Taking taylor expansion of 0 in y
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [taylor]: Taking taylor expansion of 0 in z
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.484 * [taylor]: Taking taylor expansion of 0 in z
12.484 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.484 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.487 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.487 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.488 * [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)))))
12.488 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.489 * [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))))
12.489 * [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)))))
12.490 * [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)))))
12.490 * [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
12.490 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.490 * [taylor]: Taking taylor expansion of 1/4 in y
12.490 * [backup-simplify]: Simplify 1/4 into 1/4
12.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.490 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.490 * [taylor]: Taking taylor expansion of x in y
12.490 * [backup-simplify]: Simplify x into x
12.490 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.490 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.490 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.490 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.491 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.491 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.491 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.491 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.491 * [taylor]: Taking taylor expansion of y in y
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.492 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.492 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in y
12.492 * [taylor]: Taking taylor expansion of 1/4 in y
12.492 * [backup-simplify]: Simplify 1/4 into 1/4
12.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.492 * [taylor]: Taking taylor expansion of x in y
12.492 * [backup-simplify]: Simplify x into x
12.492 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.492 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.492 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.492 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.492 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.492 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.493 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.493 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.493 * [taylor]: Taking taylor expansion of z in y
12.493 * [backup-simplify]: Simplify z into z
12.493 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.493 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.497 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.498 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.498 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.499 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) into (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))
12.499 * [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))))
12.500 * [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))))
12.500 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
12.500 * [taylor]: Taking taylor expansion of 1/4 in z
12.500 * [backup-simplify]: Simplify 1/4 into 1/4
12.500 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.500 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.500 * [taylor]: Taking taylor expansion of x in z
12.500 * [backup-simplify]: Simplify x into x
12.500 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.500 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.500 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.500 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.500 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.500 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.500 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.501 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.501 * [taylor]: Taking taylor expansion of z in z
12.501 * [backup-simplify]: Simplify 0 into 0
12.501 * [backup-simplify]: Simplify 1 into 1
12.501 * [backup-simplify]: Simplify (* 1 1) into 1
12.502 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.506 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.506 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.506 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.507 * [backup-simplify]: Simplify 0 into 0
12.507 * [taylor]: Taking taylor expansion of 0 in z
12.507 * [backup-simplify]: Simplify 0 into 0
12.507 * [backup-simplify]: Simplify 0 into 0
12.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.510 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.510 * [taylor]: Taking taylor expansion of 0 in z
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [backup-simplify]: Simplify 0 into 0
12.511 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 (- x)))) (sqrt 0.3333333333333333)) into (* (sqrt (* -1 x)) (sqrt 0.3333333333333333))
12.511 * * * [progress]: simplifying candidates
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.511 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))))>
12.512 * * * * [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))>
12.512 * * * * [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))>
12.512 * * * * [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)))>
12.512 * * * * [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))>
12.512 * * * * [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))))))>
12.512 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))>
12.513 * * * * [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))))>
12.513 * * * * [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)))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.513 * * * * [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))))))>
12.514 * * * * [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))))))>
12.514 * * * * [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))))))>
12.514 * * * * [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))))))>
12.514 * * * * [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)))))>
12.514 * * * * [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)))))>
12.514 * * * * [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)))))>
12.514 * * * * [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)))))>
12.514 * * * * [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)))))>
12.514 * * * * [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))))>
12.515 * * * * [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)))))>
12.515 * * * * [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)))))>
12.515 * * * * [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))))>
12.515 * * * * [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)))))>
12.515 * * * * [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)))))>
12.515 * * * * [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))))>
12.515 * * * * [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)))))>
12.515 * * * * [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)))))>
12.515 * * * * [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))))>
12.515 * * * * [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)))))>
12.515 * * * * [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)))))>
12.515 * * * * [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))))>
12.515 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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))))>
12.516 * * * * [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))))>
12.516 * * * * [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))))>
12.516 * * * * [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)))))>
12.516 * * * * [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))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.516 * * * * [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)))))>
12.517 * * * * [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)))))>
12.517 * * * * [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)))>
12.517 * * * * [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)))))))))>
12.517 * * * * [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)))))))>
12.517 * * * * [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))))))>
12.517 * * * * [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)))))))>
12.517 * * * * [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)))>
12.517 * * * * [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)))>
12.517 * * * * [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))))))>
12.517 * * * * [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))))))>
12.517 * * * * [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))))))>
12.517 * * * * [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))))))>
12.517 * * * * [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))))))>
12.517 * * * * [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))))))>
12.518 * * * * [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))))))>
12.518 * * * * [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))))))>
12.518 * * * * [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)))))>
12.518 * * * * [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))))))>
12.518 * * * * [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))))))>
12.518 * * * * [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)))))>
12.518 * * * * [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))))))>
12.518 * * * * [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))))))>
12.518 * * * * [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)))))>
12.518 * * * * [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))))))>
12.518 * * * * [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))))))>
12.518 * * * * [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)))))>
12.518 * * * * [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))))))>
12.519 * * * * [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))))))>
12.519 * * * * [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)))))>
12.519 * * * * [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))))))>
12.519 * * * * [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))))))>
12.519 * * * * [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)))))>
12.519 * * * * [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)))))>
12.519 * * * * [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)))))>
12.519 * * * * [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))))>
12.519 * * * * [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))))>
12.519 * * * * [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))))))>
12.519 * * * * [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)))))>
12.519 * * * * [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)))))>
12.519 * * * * [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)))))>
12.519 * * * * [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)))))>
12.519 * * * * [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))))))>
12.520 * * * * [progress]: [ 135 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ z 3.0))))>
12.520 * * * * [progress]: [ 136 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ x 3.0))))>
12.520 * * * * [progress]: [ 137 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* -1 x) 3.0))))>
12.520 * * * * [progress]: [ 138 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt z) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.520 * * * * [progress]: [ 139 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt x) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.520 * * * * [progress]: [ 140 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* -1 x)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.520 * * * * [progress]: [ 141 / 146 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
12.520 * * * * [progress]: [ 142 / 146 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
12.520 * * * * [progress]: [ 143 / 146 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
12.520 * * * * [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))))))))))>
12.520 * * * * [progress]: [ 145 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt x) (sqrt 0.3333333333333333))))>
12.520 * * * * [progress]: [ 146 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (* -1 x)) (sqrt 0.3333333333333333))))>
12.523 * [simplify]: Simplifying:
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  (exp (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)))))
  (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)))))
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  (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)))) 3.0))
  (sqrt 1)
  (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (/ 1 3.0))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (real->posit16 (sqrt (/ (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)))
  (- (+ (* +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))
12.530 * * [simplify]: iteration 0: 189 enodes
12.576 * * [simplify]: iteration 1: 362 enodes
12.729 * * [simplify]: iteration 2: 1005 enodes
13.276 * * [simplify]: iteration 3: 3293 enodes
14.007 * * [simplify]: iteration complete: 5010 enodes
14.007 * * [simplify]: Extracting #0: cost 93 inf + 0
14.008 * * [simplify]: Extracting #1: cost 407 inf + 4
14.011 * * [simplify]: Extracting #2: cost 1065 inf + 1338
14.017 * * [simplify]: Extracting #3: cost 1427 inf + 14965
14.040 * * [simplify]: Extracting #4: cost 1176 inf + 78367
14.136 * * [simplify]: Extracting #5: cost 428 inf + 307673
14.242 * * [simplify]: Extracting #6: cost 67 inf + 454235
14.410 * * [simplify]: Extracting #7: cost 3 inf + 484401
14.615 * * [simplify]: Extracting #8: cost 0 inf + 485551
14.773 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (exp (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (+ (* y y) (+ (* x x) (* z z))))
  (fabs (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  1
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (+ (* y y) (* z z))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (- (+ (* y y) (* z z)) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (- (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (real->posit16 (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (log (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (exp (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (+ (* y y) (+ (* x x) (* z z))))
  (fabs (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  1
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (+ (* y y) (* z z))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (- (+ (* y y) (* z z)) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (- (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (real->posit16 (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)
  (log (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (log (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (exp (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (* (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))) (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (* (cbrt (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))) (cbrt (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))))
  (cbrt (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (* (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))) (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)
  (sqrt (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (sqrt (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (+ (* (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (+ (* y y) (* z z))) (* (* x x) (* (* x x) (* x x)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt 3.0) (sqrt (sqrt (+ (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (- (+ (* y y) (* z z)) (* x x)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt (* (+ (* y y) (+ (* x x) (* z z))) (- (- (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (- (- (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))) (cbrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (fabs (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (* (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (fabs (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0))))
  (* (sqrt (* (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (fabs (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (/ (fabs (cbrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (fabs (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (fabs (cbrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)) (cbrt 3.0))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ 1 (sqrt 3.0))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)) (cbrt 3.0))))
  (* (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ 1 (sqrt 3.0))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (* (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (cbrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (sqrt (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (sqrt (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)) (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (* (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)) (sqrt (sqrt (+ (* (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (+ (* y y) (* z z))) (* (* x x) (* (* x x) (* x x)))))))
  (* (sqrt (sqrt (* (+ (* y y) (+ (* x x) (* z z))) (- (- (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (real->posit16 (* (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (log (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (exp (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (cbrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))) (cbrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))))
  (cbrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (* (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0) (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (fabs (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (sqrt (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (fabs (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)))
  (sqrt (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)))
  (sqrt (* (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))))
  (sqrt (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (fabs (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) 3.0))
  (sqrt (/ (fabs (cbrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)))
  (sqrt (/ (fabs (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (fabs (cbrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) 3.0))
  (sqrt (/ (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  1
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (sqrt (/ (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  1
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  1
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (/ 1 3.0))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  (real->posit16 (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)))
  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))))))
  (* (sqrt 0.3333333333333333) (sqrt x))
  (* (sqrt (- x)) (sqrt 0.3333333333333333))
14.789 * * * [progress]: adding candidates to table
15.475 * [progress]: [Phase 3 of 3] Extracting.
15.475 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.476 * * * [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)
15.476 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.521 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.585 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.627 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.684 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>)
15.740 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.800 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))>)
15.837 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
15.905 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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))))>)
15.951 * * * * [regimes]: Trying to branch on (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.011 * * * * [regimes]: Trying to branch on (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.087 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.136 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.180 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.236 * * * [regime]: Found split indices: #<option (#s(si 5 29) #s(si 0 216) #s(si 4 255))>
16.237 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.358 * [regimes]: Found splitpoints: (#s(sp 5 x -1.3226326560428921e+154) #s(sp 0 x 1.2721613999661422e+154) #s(sp 4 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<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) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<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))))>)
16.359 * [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))))
16.359 * * [simplify]: iteration 0: 22 enodes
16.360 * * [simplify]: iteration 1: 28 enodes
16.361 * * [simplify]: iteration 2: 30 enodes
16.363 * * [simplify]: iteration complete: 30 enodes
16.363 * * [simplify]: Extracting #0: cost 1 inf + 0
16.363 * * [simplify]: Extracting #1: cost 4 inf + 0
16.363 * * [simplify]: Extracting #2: cost 12 inf + 0
16.363 * * [simplify]: Extracting #3: cost 13 inf + 2
16.363 * * [simplify]: Extracting #4: cost 11 inf + 112
16.363 * * [simplify]: Extracting #5: cost 8 inf + 424
16.363 * * [simplify]: Extracting #6: cost 10 inf + 506
16.363 * * [simplify]: Extracting #7: cost 9 inf + 548
16.363 * * [simplify]: Extracting #8: cost 6 inf + 631
16.363 * * [simplify]: Extracting #9: cost 4 inf + 956
16.364 * * [simplify]: Extracting #10: cost 1 inf + 1980
16.364 * * [simplify]: Extracting #11: cost 0 inf + 2687
16.364 * [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)))
18.545 * [regime-testing]: Baseline error score: 35.67866683468118
18.549 * [regime-testing]: Oracle error score: 18.11742814583981
18.557 * [regime-testing]: End program error score: 24.240222130253464
18.651 * [regime-testing]: Target error score: 24.623636537076212