26.928 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.034 * * * [progress]: [2/2] Setting up program.
0.041 * [progress]: [Phase 2 of 3] Improving.
0.042 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.042 * * [simplify]: iteration 0: 11 enodes
0.046 * * [simplify]: iteration 1: 15 enodes
0.050 * * [simplify]: iteration 2: 21 enodes
0.057 * * [simplify]: iteration 3: 22 enodes
0.063 * * [simplify]: iteration complete: 22 enodes
0.063 * * [simplify]: Extracting #0: cost 1 inf + 0
0.063 * * [simplify]: Extracting #1: cost 2 inf + 0
0.063 * * [simplify]: Extracting #2: cost 4 inf + 0
0.063 * * [simplify]: Extracting #3: cost 9 inf + 1
0.063 * * [simplify]: Extracting #4: cost 12 inf + 1
0.063 * * [simplify]: Extracting #5: cost 8 inf + 45
0.063 * * [simplify]: Extracting #6: cost 5 inf + 249
0.064 * * [simplify]: Extracting #7: cost 1 inf + 940
0.064 * * [simplify]: Extracting #8: cost 0 inf + 1224
0.065 * [simplify]: Simplified to:
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
0.066 * * [progress]: iteration 1 / 4
0.066 * * * [progress]: picking best candidate
0.074 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.074 * * * [progress]: localizing error
0.104 * * * [progress]: generating rewritten candidates
0.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.263 * * * [progress]: generating series expansions
0.263 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.263 * [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))
0.264 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.264 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.264 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.264 * [taylor]: Taking taylor expansion of y in z
0.264 * [backup-simplify]: Simplify y into y
0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.264 * [taylor]: Taking taylor expansion of x in z
0.264 * [backup-simplify]: Simplify x into x
0.264 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.264 * [taylor]: Taking taylor expansion of z in z
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.264 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.264 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.265 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.265 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.265 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.265 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.267 * [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 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.268 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.268 * [taylor]: Taking taylor expansion of y in y
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.268 * [taylor]: Taking taylor expansion of x in y
0.268 * [backup-simplify]: Simplify x into x
0.268 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.268 * [taylor]: Taking taylor expansion of z in y
0.268 * [backup-simplify]: Simplify z into z
0.268 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.268 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.269 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.269 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.269 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.269 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.269 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.271 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.271 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.271 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.272 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.272 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.272 * [taylor]: Taking taylor expansion of y in x
0.272 * [backup-simplify]: Simplify y into y
0.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.273 * [taylor]: Taking taylor expansion of z in x
0.273 * [backup-simplify]: Simplify z into z
0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.273 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.273 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.273 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.274 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.274 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.274 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.275 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.275 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.275 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.276 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.276 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.276 * [taylor]: Taking taylor expansion of y in x
0.276 * [backup-simplify]: Simplify y into y
0.276 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.277 * [taylor]: Taking taylor expansion of x in x
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.277 * [taylor]: Taking taylor expansion of z in x
0.277 * [backup-simplify]: Simplify z into z
0.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.277 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.277 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.277 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.277 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.278 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.279 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.279 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.279 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.281 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.281 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.281 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.281 * [taylor]: Taking taylor expansion of y in y
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.281 * [taylor]: Taking taylor expansion of z in y
0.281 * [backup-simplify]: Simplify z into z
0.281 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.281 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.282 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.282 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.282 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.282 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.282 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.283 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.284 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.284 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.284 * [taylor]: Taking taylor expansion of z in z
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.284 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.285 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.286 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [taylor]: Taking taylor expansion of 0 in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.289 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.291 * [backup-simplify]: Simplify (+ 1 0) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
0.292 * [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)))
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.293 * [taylor]: Taking taylor expansion of y in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.293 * [taylor]: Taking taylor expansion of z in y
0.293 * [backup-simplify]: Simplify z into z
0.293 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.293 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.293 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.293 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.294 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.294 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.294 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.295 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.295 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.295 * [taylor]: Taking taylor expansion of 1/2 in z
0.295 * [backup-simplify]: Simplify 1/2 into 1/2
0.295 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
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 z in z
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in z
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.299 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.300 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.300 * [taylor]: Taking taylor expansion of 1/2 in z
0.300 * [backup-simplify]: Simplify 1/2 into 1/2
0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.300 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.300 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.300 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.300 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.301 * [taylor]: Taking taylor expansion of z in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.305 * [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))
0.305 * [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
0.305 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.305 * [taylor]: Taking taylor expansion of y in z
0.305 * [backup-simplify]: Simplify y into y
0.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.305 * [taylor]: Taking taylor expansion of x in z
0.305 * [backup-simplify]: Simplify x into x
0.305 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.305 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.305 * [taylor]: Taking taylor expansion of z in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [backup-simplify]: Simplify (+ 0 1) into 1
0.306 * [backup-simplify]: Simplify (+ 0 1) into 1
0.307 * [backup-simplify]: Simplify (sqrt 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [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 z
0.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
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 y
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.310 * [taylor]: Taking taylor expansion of x in y
0.310 * [backup-simplify]: Simplify x into x
0.310 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.310 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.310 * [taylor]: Taking taylor expansion of z in y
0.310 * [backup-simplify]: Simplify z into z
0.310 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.311 * [backup-simplify]: Simplify (sqrt 1) into 1
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.312 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.312 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.313 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.313 * [taylor]: Taking taylor expansion of y in x
0.313 * [backup-simplify]: Simplify y into y
0.313 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.314 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.314 * [taylor]: Taking taylor expansion of z in x
0.314 * [backup-simplify]: Simplify z into z
0.314 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.314 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.314 * [backup-simplify]: Simplify (+ 1 0) into 1
0.314 * [backup-simplify]: Simplify (+ 0 1) into 1
0.315 * [backup-simplify]: Simplify (sqrt 1) into 1
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.316 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.317 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.317 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.317 * [taylor]: Taking taylor expansion of y in x
0.317 * [backup-simplify]: Simplify y into y
0.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.317 * [taylor]: Taking taylor expansion of x in x
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.318 * [taylor]: Taking taylor expansion of z in x
0.318 * [backup-simplify]: Simplify z into z
0.318 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.318 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.318 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (+ 0 1) into 1
0.319 * [backup-simplify]: Simplify (sqrt 1) into 1
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.321 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.321 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.321 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.321 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.322 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.322 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.322 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.323 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in y
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.324 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.324 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.327 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.327 * [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))))
0.328 * [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))))
0.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 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 z 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)
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.329 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.329 * [taylor]: Taking taylor expansion of z in y
0.329 * [backup-simplify]: Simplify z into z
0.329 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.330 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.330 * [taylor]: Taking taylor expansion of 1/2 in y
0.330 * [backup-simplify]: Simplify 1/2 into 1/2
0.330 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.330 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.330 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.330 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.330 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.331 * [taylor]: Taking taylor expansion of y in y
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [taylor]: Taking taylor expansion of 0 in z
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [taylor]: Taking taylor expansion of 0 in z
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [taylor]: Taking taylor expansion of 0 in z
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.334 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in y
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.341 * [taylor]: Taking taylor expansion of 1/2 in z
0.341 * [backup-simplify]: Simplify 1/2 into 1/2
0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.341 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.341 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.342 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.342 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.342 * [taylor]: Taking taylor expansion of z in z
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.347 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [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))))))
0.353 * [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))))))
0.353 * [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
0.353 * [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
0.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.353 * [taylor]: Taking taylor expansion of 1/4 in y
0.353 * [backup-simplify]: Simplify 1/4 into 1/4
0.353 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.353 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.353 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.354 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.354 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.354 * [taylor]: Taking taylor expansion of z in y
0.354 * [backup-simplify]: Simplify z into z
0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.354 * [taylor]: Taking taylor expansion of y in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.354 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.355 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.355 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.355 * [taylor]: Taking taylor expansion of 1/8 in y
0.355 * [backup-simplify]: Simplify 1/8 into 1/8
0.355 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.355 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.355 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.355 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.355 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.355 * [taylor]: Taking taylor expansion of y in y
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.356 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.357 * [taylor]: Taking taylor expansion of 1/8 in y
0.357 * [backup-simplify]: Simplify 1/8 into 1/8
0.357 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.357 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.357 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.357 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.357 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.357 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.357 * [taylor]: Taking taylor expansion of z in y
0.357 * [backup-simplify]: Simplify z into z
0.357 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.358 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.358 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.359 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.371 * [taylor]: Taking taylor expansion of 0 in z
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [taylor]: Taking taylor expansion of 0 in z
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.372 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [taylor]: Taking taylor expansion of 0 in z
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [taylor]: Taking taylor expansion of 0 in z
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.377 * [taylor]: Taking taylor expansion of 0 in z
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
0.380 * [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))
0.380 * [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
0.380 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.380 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.380 * [taylor]: Taking taylor expansion of y in z
0.380 * [backup-simplify]: Simplify y into y
0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.380 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.380 * [taylor]: Taking taylor expansion of x in z
0.380 * [backup-simplify]: Simplify x into x
0.380 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.380 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.380 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.381 * [taylor]: Taking taylor expansion of z in z
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (+ 0 1) into 1
0.382 * [backup-simplify]: Simplify (+ 0 1) into 1
0.382 * [backup-simplify]: Simplify (sqrt 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.384 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.384 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.384 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.384 * [taylor]: Taking taylor expansion of y in y
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.385 * [taylor]: Taking taylor expansion of x in y
0.385 * [backup-simplify]: Simplify x into x
0.385 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.385 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.385 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.385 * [taylor]: Taking taylor expansion of z in y
0.385 * [backup-simplify]: Simplify z into z
0.385 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.385 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.386 * [backup-simplify]: Simplify (+ 1 0) into 1
0.386 * [backup-simplify]: Simplify (sqrt 1) into 1
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.387 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.387 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.387 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.388 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.388 * [taylor]: Taking taylor expansion of y in x
0.388 * [backup-simplify]: Simplify y into y
0.388 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.389 * [taylor]: Taking taylor expansion of x in x
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.389 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.389 * [taylor]: Taking taylor expansion of z in x
0.389 * [backup-simplify]: Simplify z into z
0.389 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.389 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.390 * [backup-simplify]: Simplify (+ 1 0) into 1
0.390 * [backup-simplify]: Simplify (+ 0 1) into 1
0.390 * [backup-simplify]: Simplify (sqrt 1) into 1
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (* 2 (sqrt 1))) into 0
0.392 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.392 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.392 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.392 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.393 * [taylor]: Taking taylor expansion of y in x
0.393 * [backup-simplify]: Simplify y into y
0.393 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (* 1 1) into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.393 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.393 * [taylor]: Taking taylor expansion of z in x
0.393 * [backup-simplify]: Simplify z into z
0.394 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.394 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.394 * [backup-simplify]: Simplify (+ 1 0) into 1
0.394 * [backup-simplify]: Simplify (+ 0 1) into 1
0.394 * [backup-simplify]: Simplify (sqrt 1) into 1
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.396 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.396 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.396 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.397 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.397 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.398 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.398 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.398 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in y
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.399 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.399 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.400 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.404 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.406 * [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))))
0.408 * [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))))
0.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.408 * [taylor]: Taking taylor expansion of 1/2 in y
0.408 * [backup-simplify]: Simplify 1/2 into 1/2
0.408 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.408 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.408 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.408 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.408 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
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)
0.410 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.410 * [taylor]: Taking taylor expansion of 1/2 in y
0.410 * [backup-simplify]: Simplify 1/2 into 1/2
0.410 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.410 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.410 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.411 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.411 * [taylor]: Taking taylor expansion of y in y
0.411 * [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 (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in z
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [taylor]: Taking taylor expansion of 0 in z
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [taylor]: Taking taylor expansion of 0 in z
0.416 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.418 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.422 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.425 * [taylor]: Taking taylor expansion of 0 in y
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.429 * [taylor]: Taking taylor expansion of 1/2 in z
0.429 * [backup-simplify]: Simplify 1/2 into 1/2
0.429 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.429 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.429 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.429 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.429 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.430 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.430 * [taylor]: Taking taylor expansion of z in z
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (* 1 1) into 1
0.431 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [taylor]: Taking taylor expansion of 0 in z
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.433 * [taylor]: Taking taylor expansion of 0 in z
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.437 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [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))))))
0.440 * [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))))))
0.440 * [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
0.440 * [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
0.440 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.440 * [taylor]: Taking taylor expansion of 1/4 in y
0.440 * [backup-simplify]: Simplify 1/4 into 1/4
0.440 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.440 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.440 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.441 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.441 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.441 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.441 * [taylor]: Taking taylor expansion of z in y
0.441 * [backup-simplify]: Simplify z into z
0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.441 * [taylor]: Taking taylor expansion of y in y
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.442 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.442 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.442 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.442 * [taylor]: Taking taylor expansion of 1/8 in y
0.442 * [backup-simplify]: Simplify 1/8 into 1/8
0.442 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.442 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.442 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.442 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.442 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.443 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.443 * [taylor]: Taking taylor expansion of y in y
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (* 1 1) into 1
0.444 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.444 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.444 * [taylor]: Taking taylor expansion of 1/8 in y
0.444 * [backup-simplify]: Simplify 1/8 into 1/8
0.444 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.444 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.444 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.444 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.445 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.445 * [taylor]: Taking taylor expansion of z in y
0.445 * [backup-simplify]: Simplify z into z
0.445 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.445 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.445 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.446 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.446 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.447 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [taylor]: Taking taylor expansion of 0 in z
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [taylor]: Taking taylor expansion of 0 in z
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.456 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [taylor]: Taking taylor expansion of 0 in z
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [taylor]: Taking taylor expansion of 0 in z
0.460 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.462 * [taylor]: Taking taylor expansion of 0 in z
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
0.467 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.468 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.468 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.468 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.468 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.468 * [taylor]: Taking taylor expansion of y in z
0.468 * [backup-simplify]: Simplify y into y
0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.468 * [taylor]: Taking taylor expansion of x in z
0.468 * [backup-simplify]: Simplify x into x
0.468 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.468 * [taylor]: Taking taylor expansion of z in z
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.468 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.468 * [taylor]: Taking taylor expansion of y in y
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.468 * [taylor]: Taking taylor expansion of x in y
0.468 * [backup-simplify]: Simplify x into x
0.468 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.468 * [taylor]: Taking taylor expansion of z in y
0.468 * [backup-simplify]: Simplify z into z
0.469 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.469 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.469 * [taylor]: Taking taylor expansion of y in x
0.469 * [backup-simplify]: Simplify y into y
0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.469 * [taylor]: Taking taylor expansion of z in x
0.469 * [backup-simplify]: Simplify z into z
0.469 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.469 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.469 * [taylor]: Taking taylor expansion of y in x
0.469 * [backup-simplify]: Simplify y into y
0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.469 * [taylor]: Taking taylor expansion of z in x
0.469 * [backup-simplify]: Simplify z into z
0.470 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.470 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.470 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.470 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.470 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
0.470 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
0.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.471 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.471 * [taylor]: Taking taylor expansion of y in y
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.471 * [taylor]: Taking taylor expansion of z in y
0.471 * [backup-simplify]: Simplify z into z
0.471 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.471 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.471 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.471 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.471 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.471 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.471 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.471 * [taylor]: Taking taylor expansion of z in z
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.472 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
0.474 * [taylor]: Taking taylor expansion of 0 in y
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
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) 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 into 0
0.475 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (+ 0 1) into 1
0.485 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.485 * [backup-simplify]: Simplify 0.3333333333333333 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 * [taylor]: Taking taylor expansion of 0 in z
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.488 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.489 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.490 * [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))))
0.490 * [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)))))
0.490 * [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
0.490 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.490 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.490 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.491 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.491 * [taylor]: Taking taylor expansion of y in z
0.491 * [backup-simplify]: Simplify y into y
0.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.491 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.491 * [taylor]: Taking taylor expansion of x in z
0.491 * [backup-simplify]: Simplify x into x
0.491 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.491 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.491 * [taylor]: Taking taylor expansion of z in z
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.492 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.492 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.492 * [taylor]: Taking taylor expansion of y in y
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.493 * [taylor]: Taking taylor expansion of x in y
0.493 * [backup-simplify]: Simplify x into x
0.493 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.494 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.494 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.494 * [taylor]: Taking taylor expansion of z in y
0.494 * [backup-simplify]: Simplify z into z
0.494 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.494 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.494 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.494 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.494 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.494 * [taylor]: Taking taylor expansion of y in x
0.494 * [backup-simplify]: Simplify y into y
0.494 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.494 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.494 * [taylor]: Taking taylor expansion of x in x
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [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 (/ 1 (pow z 2)) in x
0.495 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.495 * [taylor]: Taking taylor expansion of z in x
0.495 * [backup-simplify]: Simplify z into z
0.495 * [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 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.496 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.496 * [taylor]: Taking taylor expansion of y in x
0.496 * [backup-simplify]: Simplify y into y
0.496 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.496 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.496 * [taylor]: Taking taylor expansion of x in x
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* 1 1) into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.497 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.497 * [taylor]: Taking taylor expansion of z in x
0.497 * [backup-simplify]: Simplify z into z
0.497 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.497 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (+ 0 1) into 1
0.499 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.499 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.499 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.502 * [taylor]: Taking taylor expansion of 0 in y
0.502 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.504 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.505 * [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))))
0.505 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.505 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.505 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.505 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.505 * [taylor]: Taking taylor expansion of y in y
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (* 1 1) into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.506 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.506 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.506 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.506 * [taylor]: Taking taylor expansion of z in y
0.506 * [backup-simplify]: Simplify z into z
0.506 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.507 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.507 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.508 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.508 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.508 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.508 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.513 * [taylor]: Taking taylor expansion of 0 in y
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [taylor]: Taking taylor expansion of 0 in z
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [taylor]: Taking taylor expansion of 0 in z
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [taylor]: Taking taylor expansion of 0 in z
0.515 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.522 * [taylor]: Taking taylor expansion of 0 in y
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.526 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.526 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.526 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.526 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.526 * [taylor]: Taking taylor expansion of z in z
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.527 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
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 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.527 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.529 * [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))))
0.529 * [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)))))
0.529 * [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
0.529 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.529 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.529 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.529 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.529 * [taylor]: Taking taylor expansion of y in z
0.529 * [backup-simplify]: Simplify y into y
0.530 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.530 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.530 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.530 * [taylor]: Taking taylor expansion of x in z
0.530 * [backup-simplify]: Simplify x into x
0.530 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.530 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.530 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.530 * [taylor]: Taking taylor expansion of z in z
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (* 1 1) into 1
0.531 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.531 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.531 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.531 * [taylor]: Taking taylor expansion of y in y
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (* 1 1) into 1
0.532 * [backup-simplify]: Simplify (/ 1 1) into 1
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.532 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.532 * [taylor]: Taking taylor expansion of x in y
0.532 * [backup-simplify]: Simplify x into x
0.532 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.532 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.532 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.532 * [taylor]: Taking taylor expansion of z in y
0.532 * [backup-simplify]: Simplify z into z
0.532 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.533 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.533 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.533 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.533 * [taylor]: Taking taylor expansion of y in x
0.533 * [backup-simplify]: Simplify y into y
0.533 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.534 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.534 * [taylor]: Taking taylor expansion of z in x
0.534 * [backup-simplify]: Simplify z into z
0.534 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.534 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.534 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.534 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.534 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.534 * [taylor]: Taking taylor expansion of y in x
0.534 * [backup-simplify]: Simplify y into y
0.535 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.535 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.535 * [taylor]: Taking taylor expansion of x in x
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.536 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.536 * [taylor]: Taking taylor expansion of z in x
0.536 * [backup-simplify]: Simplify z into z
0.536 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.536 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.536 * [backup-simplify]: Simplify (+ 1 0) into 1
0.537 * [backup-simplify]: Simplify (+ 0 1) into 1
0.537 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.537 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.540 * [taylor]: Taking taylor expansion of 0 in y
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.542 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.543 * [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))))
0.543 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.543 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.543 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.544 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.544 * [taylor]: Taking taylor expansion of y in y
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.544 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.544 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.545 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.545 * [taylor]: Taking taylor expansion of z in y
0.545 * [backup-simplify]: Simplify z into z
0.545 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.545 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.545 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.546 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.546 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.546 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.546 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [taylor]: Taking taylor expansion of 0 in y
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [taylor]: Taking taylor expansion of 0 in z
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [taylor]: Taking taylor expansion of 0 in z
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [taylor]: Taking taylor expansion of 0 in z
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.560 * [taylor]: Taking taylor expansion of 0 in y
0.560 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.563 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.563 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.563 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.563 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.563 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.564 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.564 * [taylor]: Taking taylor expansion of z in z
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.565 * [taylor]: Taking taylor expansion of 0 in z
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [taylor]: Taking taylor expansion of 0 in z
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.566 * [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))))
0.567 * * * [progress]: simplifying candidates
0.568 * [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)))
  (- (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)))
  (* 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))))
0.571 * * [simplify]: iteration 0: 107 enodes
0.611 * * [simplify]: iteration 1: 217 enodes
0.678 * * [simplify]: iteration 2: 647 enodes
1.041 * * [simplify]: iteration 3: 2998 enodes
1.980 * * [simplify]: iteration complete: 5010 enodes
1.980 * * [simplify]: Extracting #0: cost 63 inf + 0
1.981 * * [simplify]: Extracting #1: cost 378 inf + 2
1.983 * * [simplify]: Extracting #2: cost 850 inf + 1669
1.994 * * [simplify]: Extracting #3: cost 1434 inf + 19114
2.054 * * [simplify]: Extracting #4: cost 1048 inf + 178215
2.152 * * [simplify]: Extracting #5: cost 224 inf + 398968
2.285 * * [simplify]: Extracting #6: cost 29 inf + 470940
2.416 * * [simplify]: Extracting #7: cost 0 inf + 484271
2.563 * [simplify]: Simplified to:
  (log (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (exp (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (* (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)) (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (fabs (cbrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (sqrt (cbrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (fabs (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt (+ (+ (* x x) (* z z)) (* y y)))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0)))
  (fabs (cbrt (+ (+ (* x x) (* z z)) (* y y))))
  (sqrt (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) 3.0))
  (sqrt (/ (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* x x) (* z z)) (* y y))))
  (sqrt (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) (sqrt 3.0)))
  1
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  1
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (sqrt (+ (+ (* x x) (* z z)) (* y y)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* x x) (* z z)) (* y y)))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (log (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (log (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (exp (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (* (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0) (* (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0) (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (* (cbrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)) (cbrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (cbrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (* (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0) (* (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0) (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)))
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0))
  (- (- (* x (- x)) (* y y)) (* z z))
  (- 3.0)
  (* (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)) (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt (+ (+ (* x x) (* z z)) (* y y)))) (sqrt 3.0))
  (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0))
  (* (cbrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt (+ (+ (* x x) (* z z)) (* y y))))
  (/ (cbrt (+ (+ (* x x) (* z z)) (* y y))) 3.0)
  (/ (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0)) (cbrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) (sqrt 3.0))
  (sqrt (+ (+ (* x x) (* z z)) (* y y)))
  (/ (sqrt (+ (+ (* x x) (* z z)) (* y y))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* z z)) (* y y)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* x x) (* z z)) (* y y)) (sqrt 3.0))
  1
  (/ (+ (+ (* x x) (* z z)) (* y y)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* x x) (* z z)) (* y y)))
  (/ (+ (+ (* x x) (* z z)) (* y y)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* z z)) (* y y)) (sqrt 3.0))
  (+ (+ (* x x) (* z z)) (* y y))
  (/ 3.0 (cbrt (+ (+ (* x x) (* z z)) (* y y))))
  (/ 3.0 (sqrt (+ (+ (* x x) (* z z)) (* y y))))
  (/ 3.0 (+ (+ (* x x) (* z z)) (* y y)))
  (* (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) 3.0)
  (* 3.0 (+ (* (- y z) (+ z y)) (* x x)))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) (- x))
  (* 0.3333333333333333 (+ (+ (* x x) (* z z)) (* y y)))
  (* 0.3333333333333333 (+ (+ (* x x) (* z z)) (* y y)))
  (* 0.3333333333333333 (+ (+ (* x x) (* z z)) (* y y)))
2.568 * * * [progress]: adding candidates to table
2.979 * * [progress]: iteration 2 / 4
2.980 * * * [progress]: picking best candidate
2.998 * * * * [pick]: Picked  #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))>
2.998 * * * [progress]: localizing error
3.014 * * * [progress]: generating rewritten candidates
3.014 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
3.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
3.104 * * * [progress]: generating series expansions
3.104 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
3.105 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.105 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.105 * [taylor]: Taking taylor expansion of y in z
3.105 * [backup-simplify]: Simplify y into y
3.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.105 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.105 * [taylor]: Taking taylor expansion of x in z
3.105 * [backup-simplify]: Simplify x into x
3.105 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.105 * [taylor]: Taking taylor expansion of z in z
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.105 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.105 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.106 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.106 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.106 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.107 * [backup-simplify]: Simplify (+ 0 0) into 0
3.107 * [backup-simplify]: Simplify (+ 0 0) into 0
3.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.108 * [taylor]: Taking taylor expansion of y in y
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.108 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.108 * [taylor]: Taking taylor expansion of x in y
3.108 * [backup-simplify]: Simplify x into x
3.108 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.108 * [taylor]: Taking taylor expansion of z in y
3.108 * [backup-simplify]: Simplify z into z
3.108 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.108 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.108 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.109 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.109 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.109 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.109 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.110 * [backup-simplify]: Simplify (+ 0 0) into 0
3.110 * [backup-simplify]: Simplify (+ 0 0) into 0
3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.111 * [taylor]: Taking taylor expansion of y in x
3.111 * [backup-simplify]: Simplify y into y
3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.111 * [taylor]: Taking taylor expansion of x in x
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 1 into 1
3.111 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.111 * [taylor]: Taking taylor expansion of z in x
3.111 * [backup-simplify]: Simplify z into z
3.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.111 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.111 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.111 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.112 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.112 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.113 * [taylor]: Taking taylor expansion of y in x
3.113 * [backup-simplify]: Simplify y into y
3.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.113 * [taylor]: Taking taylor expansion of x in x
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify 1 into 1
3.113 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.114 * [taylor]: Taking taylor expansion of z in x
3.114 * [backup-simplify]: Simplify z into z
3.114 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.114 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.114 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.114 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.114 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.115 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.116 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
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 * [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 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.116 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.116 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.117 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.117 * [taylor]: Taking taylor expansion of z in z
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [taylor]: Taking taylor expansion of 0 in y
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [taylor]: Taking taylor expansion of 0 in z
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 0 into 0
3.118 * [taylor]: Taking taylor expansion of 0 in z
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.119 * [backup-simplify]: Simplify (* 1 1) into 1
3.119 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.119 * [backup-simplify]: Simplify (+ 1 0) into 1
3.119 * [backup-simplify]: Simplify (+ 0 1) into 1
3.120 * [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)))))
3.120 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.120 * [taylor]: Taking taylor expansion of 1/2 in y
3.120 * [backup-simplify]: Simplify 1/2 into 1/2
3.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.120 * [taylor]: Taking taylor expansion of y in y
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 1 into 1
3.120 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.120 * [taylor]: Taking taylor expansion of z in y
3.120 * [backup-simplify]: Simplify z into z
3.120 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.120 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.120 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.121 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.121 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.121 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.121 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.121 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.121 * [taylor]: Taking taylor expansion of 1/2 in z
3.121 * [backup-simplify]: Simplify 1/2 into 1/2
3.121 * [taylor]: Taking taylor expansion of z in z
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [taylor]: Taking taylor expansion of 0 in z
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 0 into 0
3.123 * [backup-simplify]: Simplify (* 1 1) into 1
3.123 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.123 * [backup-simplify]: Simplify (+ 1 0) into 1
3.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.124 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.124 * [taylor]: Taking taylor expansion of 1/2 in z
3.124 * [backup-simplify]: Simplify 1/2 into 1/2
3.124 * [taylor]: Taking taylor expansion of z in z
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 1 into 1
3.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.125 * [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)))))
3.125 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.125 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.125 * [taylor]: Taking taylor expansion of y in z
3.125 * [backup-simplify]: Simplify y into y
3.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.125 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.125 * [taylor]: Taking taylor expansion of x in z
3.125 * [backup-simplify]: Simplify x into x
3.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.126 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.126 * [taylor]: Taking taylor expansion of z in z
3.126 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify 1 into 1
3.126 * [backup-simplify]: Simplify (* 1 1) into 1
3.126 * [backup-simplify]: Simplify (/ 1 1) into 1
3.126 * [backup-simplify]: Simplify (+ 0 1) into 1
3.127 * [backup-simplify]: Simplify (+ 0 1) into 1
3.127 * [backup-simplify]: Simplify (sqrt 1) into 1
3.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (+ 0 0) into 0
3.128 * [backup-simplify]: Simplify (+ 0 0) into 0
3.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.129 * [taylor]: Taking taylor expansion of y in y
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.129 * [backup-simplify]: Simplify (* 1 1) into 1
3.131 * [backup-simplify]: Simplify (/ 1 1) into 1
3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.131 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.131 * [taylor]: Taking taylor expansion of x in y
3.132 * [backup-simplify]: Simplify x into x
3.132 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.132 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.132 * [taylor]: Taking taylor expansion of z in y
3.132 * [backup-simplify]: Simplify z into z
3.132 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.132 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.132 * [backup-simplify]: Simplify (+ 1 0) into 1
3.133 * [backup-simplify]: Simplify (sqrt 1) into 1
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.134 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.135 * [taylor]: Taking taylor expansion of y in x
3.135 * [backup-simplify]: Simplify y into y
3.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.135 * [taylor]: Taking taylor expansion of x in x
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (* 1 1) into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.135 * [taylor]: Taking taylor expansion of z in x
3.135 * [backup-simplify]: Simplify z into z
3.135 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.136 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.136 * [backup-simplify]: Simplify (+ 1 0) into 1
3.136 * [backup-simplify]: Simplify (+ 0 1) into 1
3.136 * [backup-simplify]: Simplify (sqrt 1) into 1
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.138 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.138 * [taylor]: Taking taylor expansion of y in x
3.138 * [backup-simplify]: Simplify y into y
3.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.138 * [taylor]: Taking taylor expansion of x in x
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify (* 1 1) into 1
3.139 * [backup-simplify]: Simplify (/ 1 1) into 1
3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.139 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.139 * [taylor]: Taking taylor expansion of z in x
3.139 * [backup-simplify]: Simplify z into z
3.139 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.139 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.139 * [backup-simplify]: Simplify (+ 1 0) into 1
3.140 * [backup-simplify]: Simplify (+ 0 1) into 1
3.140 * [backup-simplify]: Simplify (sqrt 1) into 1
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.142 * [taylor]: Taking taylor expansion of 1 in y
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [taylor]: Taking taylor expansion of 0 in y
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [taylor]: Taking taylor expansion of 1 in z
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.143 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.144 * [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))))
3.144 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.144 * [taylor]: Taking taylor expansion of 1/2 in y
3.144 * [backup-simplify]: Simplify 1/2 into 1/2
3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.144 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.144 * [taylor]: Taking taylor expansion of y in y
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (* 1 1) into 1
3.145 * [backup-simplify]: Simplify (/ 1 1) into 1
3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.145 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.145 * [taylor]: Taking taylor expansion of z in y
3.145 * [backup-simplify]: Simplify z into z
3.145 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.145 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (+ 1 0) into 1
3.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.147 * [taylor]: Taking taylor expansion of 0 in z
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [taylor]: Taking taylor expansion of 0 in z
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [taylor]: Taking taylor expansion of 0 in z
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.149 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.149 * [backup-simplify]: Simplify (+ 0 0) into 0
3.149 * [backup-simplify]: Simplify (+ 0 0) into 0
3.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.150 * [taylor]: Taking taylor expansion of 0 in y
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.152 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.152 * [taylor]: Taking taylor expansion of 1/2 in z
3.152 * [backup-simplify]: Simplify 1/2 into 1/2
3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.152 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.152 * [taylor]: Taking taylor expansion of z in z
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 1 into 1
3.152 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [taylor]: Taking taylor expansion of 0 in z
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [taylor]: Taking taylor expansion of 0 in z
3.153 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.158 * [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))))))
3.158 * [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
3.158 * [taylor]: Taking taylor expansion of -1/2 in y
3.158 * [backup-simplify]: Simplify -1/2 into -1/2
3.158 * [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
3.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.159 * [taylor]: Taking taylor expansion of 1/2 in y
3.159 * [backup-simplify]: Simplify 1/2 into 1/2
3.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.159 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.159 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.159 * [taylor]: Taking taylor expansion of z in y
3.159 * [backup-simplify]: Simplify z into z
3.159 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.159 * [taylor]: Taking taylor expansion of y in y
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.159 * [backup-simplify]: Simplify (* 1 1) into 1
3.159 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.159 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.159 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.159 * [taylor]: Taking taylor expansion of 1/4 in y
3.159 * [backup-simplify]: Simplify 1/4 into 1/4
3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.159 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.159 * [taylor]: Taking taylor expansion of y in y
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.160 * [backup-simplify]: Simplify (* 1 1) into 1
3.160 * [backup-simplify]: Simplify (* 1 1) into 1
3.160 * [backup-simplify]: Simplify (/ 1 1) into 1
3.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.160 * [taylor]: Taking taylor expansion of 1/4 in y
3.160 * [backup-simplify]: Simplify 1/4 into 1/4
3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.160 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.160 * [taylor]: Taking taylor expansion of z in y
3.160 * [backup-simplify]: Simplify z into z
3.160 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.160 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.161 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.161 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.161 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.168 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.170 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.170 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.171 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.171 * [taylor]: Taking taylor expansion of 0 in z
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [taylor]: Taking taylor expansion of 0 in z
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.174 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.176 * [taylor]: Taking taylor expansion of 0 in z
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [taylor]: Taking taylor expansion of 0 in z
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [taylor]: Taking taylor expansion of 0 in z
3.176 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.180 * [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)))))
3.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.180 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.180 * [taylor]: Taking taylor expansion of y in z
3.180 * [backup-simplify]: Simplify y into y
3.180 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.180 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.180 * [taylor]: Taking taylor expansion of x in z
3.180 * [backup-simplify]: Simplify x into x
3.180 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.181 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.181 * [taylor]: Taking taylor expansion of z in z
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.182 * [backup-simplify]: Simplify (+ 0 1) into 1
3.182 * [backup-simplify]: Simplify (+ 0 1) into 1
3.183 * [backup-simplify]: Simplify (sqrt 1) into 1
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.186 * [taylor]: Taking taylor expansion of y in y
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.187 * [backup-simplify]: Simplify (/ 1 1) into 1
3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.187 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.187 * [taylor]: Taking taylor expansion of x in y
3.187 * [backup-simplify]: Simplify x into x
3.187 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.187 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.187 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.187 * [taylor]: Taking taylor expansion of z in y
3.187 * [backup-simplify]: Simplify z into z
3.187 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.187 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.188 * [backup-simplify]: Simplify (+ 1 0) into 1
3.188 * [backup-simplify]: Simplify (sqrt 1) into 1
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.191 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.191 * [taylor]: Taking taylor expansion of y in x
3.191 * [backup-simplify]: Simplify y into y
3.191 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.191 * [taylor]: Taking taylor expansion of x in x
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (* 1 1) into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.192 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.192 * [taylor]: Taking taylor expansion of z in x
3.192 * [backup-simplify]: Simplify z into z
3.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.192 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.193 * [backup-simplify]: Simplify (+ 1 0) into 1
3.193 * [backup-simplify]: Simplify (+ 0 1) into 1
3.194 * [backup-simplify]: Simplify (sqrt 1) into 1
3.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (+ 0 0) into 0
3.196 * [backup-simplify]: Simplify (+ 0 0) into 0
3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.197 * [taylor]: Taking taylor expansion of y in x
3.197 * [backup-simplify]: Simplify y into y
3.197 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.197 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.197 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.197 * [taylor]: Taking taylor expansion of x in x
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (* 1 1) into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.198 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.198 * [taylor]: Taking taylor expansion of z in x
3.198 * [backup-simplify]: Simplify z into z
3.198 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.198 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.199 * [backup-simplify]: Simplify (+ 1 0) into 1
3.199 * [backup-simplify]: Simplify (+ 0 1) into 1
3.200 * [backup-simplify]: Simplify (sqrt 1) into 1
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (+ 0 0) into 0
3.202 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.203 * [taylor]: Taking taylor expansion of 1 in y
3.203 * [backup-simplify]: Simplify 1 into 1
3.203 * [taylor]: Taking taylor expansion of 0 in y
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [taylor]: Taking taylor expansion of 1 in z
3.203 * [backup-simplify]: Simplify 1 into 1
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.205 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.207 * [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))))
3.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.207 * [taylor]: Taking taylor expansion of 1/2 in y
3.207 * [backup-simplify]: Simplify 1/2 into 1/2
3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
3.208 * [backup-simplify]: Simplify (* 1 1) into 1
3.209 * [backup-simplify]: Simplify (/ 1 1) into 1
3.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.209 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.209 * [taylor]: Taking taylor expansion of z in y
3.209 * [backup-simplify]: Simplify z into z
3.209 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.209 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (+ 1 0) into 1
3.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.212 * [taylor]: Taking taylor expansion of 0 in z
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [taylor]: Taking taylor expansion of 0 in z
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [taylor]: Taking taylor expansion of 0 in z
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.216 * [backup-simplify]: Simplify (+ 0 0) into 0
3.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.217 * [taylor]: Taking taylor expansion of 0 in y
3.217 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.220 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) 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 (/ 1 (pow z 2)) in z
3.220 * [taylor]: Taking taylor expansion of (pow z 2) in z
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 1) into 1
3.221 * [backup-simplify]: Simplify (/ 1 1) into 1
3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [taylor]: Taking taylor expansion of 0 in z
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [taylor]: Taking taylor expansion of 0 in z
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.228 * [backup-simplify]: Simplify (+ 0 0) into 0
3.228 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [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))))))
3.230 * [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
3.230 * [taylor]: Taking taylor expansion of -1/2 in y
3.230 * [backup-simplify]: Simplify -1/2 into -1/2
3.230 * [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
3.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.230 * [taylor]: Taking taylor expansion of 1/2 in y
3.230 * [backup-simplify]: Simplify 1/2 into 1/2
3.230 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.230 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.230 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.230 * [taylor]: Taking taylor expansion of z in y
3.230 * [backup-simplify]: Simplify z into z
3.230 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.230 * [taylor]: Taking taylor expansion of y in y
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 1 into 1
3.230 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.231 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.231 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.231 * [taylor]: Taking taylor expansion of 1/4 in y
3.231 * [backup-simplify]: Simplify 1/4 into 1/4
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.231 * [taylor]: Taking taylor expansion of (pow y 4) 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
3.232 * [backup-simplify]: Simplify (* 1 1) into 1
3.232 * [backup-simplify]: Simplify (* 1 1) into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.232 * [taylor]: Taking taylor expansion of 1/4 in y
3.232 * [backup-simplify]: Simplify 1/4 into 1/4
3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.233 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.233 * [taylor]: Taking taylor expansion of z in y
3.233 * [backup-simplify]: Simplify z into z
3.233 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.233 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.233 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.234 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.234 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (+ 0 0) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.245 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.246 * [backup-simplify]: Simplify (+ 0 0) into 0
3.247 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.249 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.249 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.251 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.251 * [taylor]: Taking taylor expansion of 0 in z
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [taylor]: Taking taylor expansion of 0 in z
3.251 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.254 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.255 * [taylor]: Taking taylor expansion of 0 in z
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [taylor]: Taking taylor expansion of 0 in z
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [taylor]: Taking taylor expansion of 0 in z
3.255 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.263 * * * * [progress]: [ 2 / 2 ] generating series at (2)
3.265 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0)))
3.265 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (x y z) around 0
3.265 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z
3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.265 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.265 * [taylor]: Taking taylor expansion of y in z
3.265 * [backup-simplify]: Simplify y into y
3.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.265 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.265 * [taylor]: Taking taylor expansion of x in z
3.265 * [backup-simplify]: Simplify x into x
3.265 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.265 * [taylor]: Taking taylor expansion of z in z
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 1 into 1
3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.265 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.265 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.266 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.266 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.266 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.267 * [backup-simplify]: Simplify (+ 0 0) into 0
3.267 * [backup-simplify]: Simplify (+ 0 0) into 0
3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.267 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
3.267 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.267 * [taylor]: Taking taylor expansion of 3.0 in z
3.267 * [backup-simplify]: Simplify 3.0 into 3.0
3.268 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.269 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.269 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.270 * [taylor]: Taking taylor expansion of y in y
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.270 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.270 * [taylor]: Taking taylor expansion of x in y
3.270 * [backup-simplify]: Simplify x into x
3.270 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.270 * [taylor]: Taking taylor expansion of z in y
3.270 * [backup-simplify]: Simplify z into z
3.270 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.270 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.270 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.271 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.271 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.271 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.271 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.272 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.272 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.272 * [taylor]: Taking taylor expansion of 3.0 in y
3.272 * [backup-simplify]: Simplify 3.0 into 3.0
3.273 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.274 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.274 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
3.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.275 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.275 * [taylor]: Taking taylor expansion of y in x
3.275 * [backup-simplify]: Simplify y into y
3.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.275 * [taylor]: Taking taylor expansion of x in x
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.275 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.275 * [taylor]: Taking taylor expansion of z in x
3.275 * [backup-simplify]: Simplify z into z
3.275 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.275 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.275 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.275 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.276 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.276 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.276 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.276 * [backup-simplify]: Simplify (+ 0 0) into 0
3.277 * [backup-simplify]: Simplify (+ 0 0) into 0
3.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.277 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.277 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.277 * [taylor]: Taking taylor expansion of 3.0 in x
3.277 * [backup-simplify]: Simplify 3.0 into 3.0
3.277 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.279 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.279 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.279 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.279 * [taylor]: Taking taylor expansion of y in x
3.279 * [backup-simplify]: Simplify y into y
3.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.279 * [taylor]: Taking taylor expansion of x in x
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.279 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.280 * [taylor]: Taking taylor expansion of z in x
3.280 * [backup-simplify]: Simplify z into z
3.280 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.280 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.280 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.280 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.280 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.281 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.282 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.282 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.282 * [taylor]: Taking taylor expansion of 3.0 in x
3.282 * [backup-simplify]: Simplify 3.0 into 3.0
3.282 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.284 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.285 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) into (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0)))
3.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) in y
3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.285 * [taylor]: Taking taylor expansion of y in y
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 1 into 1
3.285 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.285 * [taylor]: Taking taylor expansion of z in y
3.285 * [backup-simplify]: Simplify z into z
3.286 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.286 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.286 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.286 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.287 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.287 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.287 * [taylor]: Taking taylor expansion of 3.0 in y
3.287 * [backup-simplify]: Simplify 3.0 into 3.0
3.287 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.289 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.290 * [backup-simplify]: Simplify (* z (/ 1 (sqrt 3.0))) into (/ z (sqrt 3.0))
3.290 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) 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
3.290 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.290 * [taylor]: Taking taylor expansion of 3.0 in z
3.290 * [backup-simplify]: Simplify 3.0 into 3.0
3.290 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.292 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.294 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.294 * [taylor]: Taking taylor expansion of 0 in y
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [taylor]: Taking taylor expansion of 0 in z
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.296 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.296 * [taylor]: Taking taylor expansion of 0 in z
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.301 * [backup-simplify]: Simplify (* 1 1) into 1
3.301 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.302 * [backup-simplify]: Simplify (+ 1 0) into 1
3.302 * [backup-simplify]: Simplify (+ 0 1) into 1
3.303 * [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)))))
3.304 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (/ 1 (sqrt 3.0))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))))
3.304 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in y
3.304 * [taylor]: Taking taylor expansion of 1/2 in y
3.304 * [backup-simplify]: Simplify 1/2 into 1/2
3.304 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
3.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.305 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.305 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.305 * [taylor]: Taking taylor expansion of y in y
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.305 * [taylor]: Taking taylor expansion of z in y
3.305 * [backup-simplify]: Simplify z into z
3.305 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.305 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.305 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.305 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.305 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.306 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.306 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.306 * [taylor]: Taking taylor expansion of 3.0 in y
3.306 * [backup-simplify]: Simplify 3.0 into 3.0
3.306 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.307 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.308 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 (sqrt 3.0))) into (/ 1 (* z (sqrt 3.0)))
3.308 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* z (sqrt 3.0)))) into (/ 1/2 (* z (sqrt 3.0)))
3.308 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z
3.308 * [taylor]: Taking taylor expansion of 1/2 in z
3.308 * [backup-simplify]: Simplify 1/2 into 1/2
3.308 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
3.308 * [taylor]: Taking taylor expansion of z in z
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 1 into 1
3.308 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.308 * [taylor]: Taking taylor expansion of 3.0 in z
3.308 * [backup-simplify]: Simplify 3.0 into 3.0
3.308 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.309 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
3.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
3.311 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3.0)) into (/ 1/2 (sqrt 3.0))
3.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
3.313 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1/2 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [taylor]: Taking taylor expansion of 0 in z
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.314 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.315 * [backup-simplify]: Simplify (+ 1 0) into 1
3.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.316 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (/ 1 (sqrt 3.0))))) into (* 1/2 (/ 1 (* z (sqrt 3.0))))
3.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z
3.316 * [taylor]: Taking taylor expansion of 1/2 in z
3.316 * [backup-simplify]: Simplify 1/2 into 1/2
3.316 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z
3.316 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
3.316 * [taylor]: Taking taylor expansion of z in z
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.316 * [taylor]: Taking taylor expansion of 3.0 in z
3.316 * [backup-simplify]: Simplify 3.0 into 3.0
3.317 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.317 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
3.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
3.319 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* z (* 1 1))) into (/ z (sqrt 3.0))
3.324 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt 3.0)) into (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))
3.324 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (x y z) around 0
3.324 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
3.324 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
3.324 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.324 * [taylor]: Taking taylor expansion of 3.0 in z
3.324 * [backup-simplify]: Simplify 3.0 into 3.0
3.324 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.325 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.325 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.325 * [taylor]: Taking taylor expansion of y in z
3.325 * [backup-simplify]: Simplify y into y
3.325 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.325 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.326 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.326 * [taylor]: Taking taylor expansion of x in z
3.326 * [backup-simplify]: Simplify x into x
3.326 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.326 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.326 * [taylor]: Taking taylor expansion of z in z
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (* 1 1) into 1
3.326 * [backup-simplify]: Simplify (/ 1 1) into 1
3.327 * [backup-simplify]: Simplify (+ 0 1) into 1
3.327 * [backup-simplify]: Simplify (+ 0 1) into 1
3.327 * [backup-simplify]: Simplify (sqrt 1) into 1
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ 0 0) into 0
3.329 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.330 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
3.330 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.330 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.330 * [taylor]: Taking taylor expansion of 3.0 in y
3.330 * [backup-simplify]: Simplify 3.0 into 3.0
3.331 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.332 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.332 * [taylor]: Taking taylor expansion of (pow y 2) 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
3.333 * [backup-simplify]: Simplify (* 1 1) into 1
3.333 * [backup-simplify]: Simplify (/ 1 1) into 1
3.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.333 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.333 * [taylor]: Taking taylor expansion of x in y
3.333 * [backup-simplify]: Simplify x into x
3.333 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.334 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.334 * [taylor]: Taking taylor expansion of z in y
3.334 * [backup-simplify]: Simplify z into z
3.334 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.334 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.335 * [backup-simplify]: Simplify (+ 1 0) into 1
3.335 * [backup-simplify]: Simplify (sqrt 1) into 1
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 (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.338 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
3.338 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.338 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.338 * [taylor]: Taking taylor expansion of 3.0 in x
3.338 * [backup-simplify]: Simplify 3.0 into 3.0
3.338 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.340 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.340 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.340 * [taylor]: Taking taylor expansion of y in x
3.340 * [backup-simplify]: Simplify y into y
3.340 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.341 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.341 * [taylor]: Taking taylor expansion of x in x
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify (* 1 1) into 1
3.341 * [backup-simplify]: Simplify (/ 1 1) into 1
3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.341 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.341 * [taylor]: Taking taylor expansion of z in x
3.341 * [backup-simplify]: Simplify z into z
3.342 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.342 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.342 * [backup-simplify]: Simplify (+ 1 0) into 1
3.343 * [backup-simplify]: Simplify (+ 0 1) into 1
3.343 * [backup-simplify]: Simplify (sqrt 1) into 1
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.346 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
3.346 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.346 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.346 * [taylor]: Taking taylor expansion of 3.0 in x
3.346 * [backup-simplify]: Simplify 3.0 into 3.0
3.346 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.348 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.348 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.348 * [taylor]: Taking taylor expansion of y in x
3.348 * [backup-simplify]: Simplify y into y
3.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.349 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.349 * [taylor]: Taking taylor expansion of x in x
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify (* 1 1) into 1
3.349 * [backup-simplify]: Simplify (/ 1 1) into 1
3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.349 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.350 * [taylor]: Taking taylor expansion of z in x
3.350 * [backup-simplify]: Simplify z into z
3.350 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.350 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.350 * [backup-simplify]: Simplify (+ 1 0) into 1
3.351 * [backup-simplify]: Simplify (+ 0 1) into 1
3.351 * [backup-simplify]: Simplify (sqrt 1) into 1
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.356 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
3.356 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.356 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.356 * [taylor]: Taking taylor expansion of 3.0 in y
3.356 * [backup-simplify]: Simplify 3.0 into 3.0
3.356 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.358 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.360 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
3.360 * [taylor]: Taking taylor expansion of 0 in y
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
3.360 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.360 * [taylor]: Taking taylor expansion of 3.0 in z
3.360 * [backup-simplify]: Simplify 3.0 into 3.0
3.361 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.362 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.365 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.367 * [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))))
3.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.371 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
3.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in y
3.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y
3.371 * [taylor]: Taking taylor expansion of 1/2 in y
3.371 * [backup-simplify]: Simplify 1/2 into 1/2
3.371 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y
3.371 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
3.371 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.371 * [taylor]: Taking taylor expansion of y in y
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.371 * [taylor]: Taking taylor expansion of 3.0 in y
3.372 * [backup-simplify]: Simplify 3.0 into 3.0
3.372 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.373 * [backup-simplify]: Simplify (* 1 1) into 1
3.374 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.375 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y
3.375 * [taylor]: Taking taylor expansion of 1/2 in y
3.375 * [backup-simplify]: Simplify 1/2 into 1/2
3.375 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y
3.375 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y
3.375 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.375 * [taylor]: Taking taylor expansion of z in y
3.375 * [backup-simplify]: Simplify z into z
3.375 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.375 * [taylor]: Taking taylor expansion of 3.0 in y
3.375 * [backup-simplify]: Simplify 3.0 into 3.0
3.376 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.377 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
3.377 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.381 * [backup-simplify]: Simplify (+ 0 0) into 0
3.381 * [taylor]: Taking taylor expansion of 0 in z
3.381 * [backup-simplify]: Simplify 0 into 0
3.382 * [taylor]: Taking taylor expansion of 0 in z
3.382 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.383 * [taylor]: Taking taylor expansion of 0 in z
3.383 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.387 * [backup-simplify]: Simplify (+ 0 0) into 0
3.387 * [backup-simplify]: Simplify (+ 0 0) into 0
3.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.392 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
3.393 * [taylor]: Taking taylor expansion of 0 in y
3.393 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
3.405 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
3.406 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
3.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
3.406 * [taylor]: Taking taylor expansion of 1/2 in z
3.406 * [backup-simplify]: Simplify 1/2 into 1/2
3.406 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
3.406 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
3.406 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.406 * [taylor]: Taking taylor expansion of z in z
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 1 into 1
3.406 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.406 * [taylor]: Taking taylor expansion of 3.0 in z
3.406 * [backup-simplify]: Simplify 3.0 into 3.0
3.406 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.407 * [backup-simplify]: Simplify (* 1 1) into 1
3.408 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.408 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.411 * [taylor]: Taking taylor expansion of 0 in z
3.411 * [backup-simplify]: Simplify 0 into 0
3.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.412 * [taylor]: Taking taylor expansion of 0 in z
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.413 * [backup-simplify]: Simplify 0 into 0
3.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.415 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.415 * [backup-simplify]: Simplify (+ 0 0) into 0
3.416 * [backup-simplify]: Simplify (+ 0 0) into 0
3.417 * [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))))))
3.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.420 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
3.420 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in y
3.420 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in y
3.420 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y
3.420 * [taylor]: Taking taylor expansion of 1/8 in y
3.420 * [backup-simplify]: Simplify 1/8 into 1/8
3.420 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y
3.420 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y
3.420 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.420 * [taylor]: Taking taylor expansion of y in y
3.420 * [backup-simplify]: Simplify 0 into 0
3.420 * [backup-simplify]: Simplify 1 into 1
3.420 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.420 * [taylor]: Taking taylor expansion of 3.0 in y
3.420 * [backup-simplify]: Simplify 3.0 into 3.0
3.421 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.421 * [backup-simplify]: Simplify (* 1 1) into 1
3.421 * [backup-simplify]: Simplify (* 1 1) into 1
3.422 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.422 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.423 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in y
3.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y
3.423 * [taylor]: Taking taylor expansion of 1/4 in y
3.423 * [backup-simplify]: Simplify 1/4 into 1/4
3.423 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y
3.423 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y
3.423 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.423 * [taylor]: Taking taylor expansion of z in y
3.423 * [backup-simplify]: Simplify z into z
3.423 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
3.423 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.423 * [taylor]: Taking taylor expansion of y in y
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify 1 into 1
3.423 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.423 * [taylor]: Taking taylor expansion of 3.0 in y
3.423 * [backup-simplify]: Simplify 3.0 into 3.0
3.423 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.424 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.424 * [backup-simplify]: Simplify (* 1 1) into 1
3.424 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.425 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
3.425 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
3.425 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y
3.425 * [taylor]: Taking taylor expansion of 1/8 in y
3.425 * [backup-simplify]: Simplify 1/8 into 1/8
3.425 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y
3.425 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y
3.425 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.425 * [taylor]: Taking taylor expansion of z in y
3.425 * [backup-simplify]: Simplify z into z
3.425 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.425 * [taylor]: Taking taylor expansion of 3.0 in y
3.425 * [backup-simplify]: Simplify 3.0 into 3.0
3.425 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.426 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.426 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.426 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
3.427 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
3.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.437 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
3.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.438 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.439 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
3.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
3.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (- 0) into 0
3.442 * [taylor]: Taking taylor expansion of 0 in z
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [taylor]: Taking taylor expansion of 0 in z
3.443 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
3.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
3.449 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.450 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
3.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [taylor]: Taking taylor expansion of 0 in z
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [taylor]: Taking taylor expansion of 0 in z
3.452 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.455 * [taylor]: Taking taylor expansion of 0 in z
3.455 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 x))))) into (/ x (sqrt 3.0))
3.463 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt 3.0)) into (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))
3.463 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (x y z) around 0
3.464 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
3.464 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
3.464 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.464 * [taylor]: Taking taylor expansion of 3.0 in z
3.464 * [backup-simplify]: Simplify 3.0 into 3.0
3.464 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.466 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.466 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.466 * [taylor]: Taking taylor expansion of y in z
3.466 * [backup-simplify]: Simplify y into y
3.466 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.466 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.466 * [taylor]: Taking taylor expansion of x in z
3.466 * [backup-simplify]: Simplify x into x
3.466 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.467 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.467 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.467 * [taylor]: Taking taylor expansion of z in z
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (* 1 1) into 1
3.467 * [backup-simplify]: Simplify (/ 1 1) into 1
3.468 * [backup-simplify]: Simplify (+ 0 1) into 1
3.468 * [backup-simplify]: Simplify (+ 0 1) into 1
3.469 * [backup-simplify]: Simplify (sqrt 1) into 1
3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.470 * [backup-simplify]: Simplify (+ 0 0) into 0
3.471 * [backup-simplify]: Simplify (+ 0 0) into 0
3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.471 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
3.471 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.471 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.472 * [taylor]: Taking taylor expansion of 3.0 in y
3.472 * [backup-simplify]: Simplify 3.0 into 3.0
3.472 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.474 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.474 * [taylor]: Taking taylor expansion of y in y
3.474 * [backup-simplify]: Simplify 0 into 0
3.474 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (* 1 1) into 1
3.475 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.475 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.475 * [taylor]: Taking taylor expansion of x in y
3.475 * [backup-simplify]: Simplify x into x
3.475 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.475 * [taylor]: Taking taylor expansion of (pow z 2) 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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.476 * [backup-simplify]: Simplify (+ 1 0) into 1
3.476 * [backup-simplify]: Simplify (sqrt 1) into 1
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.478 * [backup-simplify]: Simplify (+ 0 0) into 0
3.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.479 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
3.479 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.479 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.479 * [taylor]: Taking taylor expansion of 3.0 in x
3.479 * [backup-simplify]: Simplify 3.0 into 3.0
3.479 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.481 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.481 * [taylor]: Taking taylor expansion of y in x
3.481 * [backup-simplify]: Simplify y into y
3.481 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.482 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.482 * [taylor]: Taking taylor expansion of x in x
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.482 * [backup-simplify]: Simplify (* 1 1) into 1
3.482 * [backup-simplify]: Simplify (/ 1 1) into 1
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.482 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.482 * [taylor]: Taking taylor expansion of z in x
3.482 * [backup-simplify]: Simplify z into z
3.483 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.483 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.483 * [backup-simplify]: Simplify (+ 1 0) into 1
3.484 * [backup-simplify]: Simplify (+ 0 1) into 1
3.484 * [backup-simplify]: Simplify (sqrt 1) into 1
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.486 * [backup-simplify]: Simplify (+ 0 0) into 0
3.486 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.487 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
3.487 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
3.487 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
3.487 * [taylor]: Taking taylor expansion of 3.0 in x
3.487 * [backup-simplify]: Simplify 3.0 into 3.0
3.487 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.489 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.489 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.489 * [taylor]: Taking taylor expansion of y in x
3.489 * [backup-simplify]: Simplify y into y
3.489 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.489 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.489 * [taylor]: Taking taylor expansion of x in x
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 1 into 1
3.490 * [backup-simplify]: Simplify (* 1 1) into 1
3.490 * [backup-simplify]: Simplify (/ 1 1) into 1
3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.490 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.490 * [taylor]: Taking taylor expansion of z in x
3.490 * [backup-simplify]: Simplify z into z
3.490 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.490 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.491 * [backup-simplify]: Simplify (+ 1 0) into 1
3.491 * [backup-simplify]: Simplify (+ 0 1) into 1
3.492 * [backup-simplify]: Simplify (sqrt 1) into 1
3.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.494 * [backup-simplify]: Simplify (+ 0 0) into 0
3.494 * [backup-simplify]: Simplify (+ 0 0) into 0
3.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.496 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
3.496 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
3.496 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.496 * [taylor]: Taking taylor expansion of 3.0 in y
3.496 * [backup-simplify]: Simplify 3.0 into 3.0
3.497 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.498 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.500 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
3.501 * [taylor]: Taking taylor expansion of 0 in y
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
3.501 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.501 * [taylor]: Taking taylor expansion of 3.0 in z
3.501 * [backup-simplify]: Simplify 3.0 into 3.0
3.501 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.503 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.505 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.506 * [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))))
3.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.509 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
3.509 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in y
3.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y
3.509 * [taylor]: Taking taylor expansion of 1/2 in y
3.509 * [backup-simplify]: Simplify 1/2 into 1/2
3.509 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y
3.509 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) 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 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.509 * [taylor]: Taking taylor expansion of 3.0 in y
3.509 * [backup-simplify]: Simplify 3.0 into 3.0
3.510 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.510 * [backup-simplify]: Simplify (* 1 1) into 1
3.511 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.511 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y
3.512 * [taylor]: Taking taylor expansion of 1/2 in y
3.512 * [backup-simplify]: Simplify 1/2 into 1/2
3.512 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y
3.512 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y
3.512 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.512 * [taylor]: Taking taylor expansion of z in y
3.512 * [backup-simplify]: Simplify z into z
3.512 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.512 * [taylor]: Taking taylor expansion of 3.0 in y
3.512 * [backup-simplify]: Simplify 3.0 into 3.0
3.512 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.512 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.513 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
3.513 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
3.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.515 * [backup-simplify]: Simplify (+ 0 0) into 0
3.515 * [taylor]: Taking taylor expansion of 0 in z
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [taylor]: Taking taylor expansion of 0 in z
3.515 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.516 * [taylor]: Taking taylor expansion of 0 in z
3.516 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.526 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
3.526 * [taylor]: Taking taylor expansion of 0 in y
3.526 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
3.530 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
3.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
3.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
3.530 * [taylor]: Taking taylor expansion of 1/2 in z
3.530 * [backup-simplify]: Simplify 1/2 into 1/2
3.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
3.530 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
3.530 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.530 * [taylor]: Taking taylor expansion of z in z
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.530 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
3.530 * [taylor]: Taking taylor expansion of 3.0 in z
3.530 * [backup-simplify]: Simplify 3.0 into 3.0
3.531 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.531 * [backup-simplify]: Simplify (* 1 1) into 1
3.532 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.532 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [taylor]: Taking taylor expansion of 0 in z
3.534 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.537 * [taylor]: Taking taylor expansion of 0 in z
3.537 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.538 * [backup-simplify]: Simplify 0 into 0
3.539 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.542 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [backup-simplify]: Simplify (+ 0 0) into 0
3.544 * [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))))))
3.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.550 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
3.551 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in y
3.551 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in y
3.551 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y
3.551 * [taylor]: Taking taylor expansion of 1/8 in y
3.551 * [backup-simplify]: Simplify 1/8 into 1/8
3.551 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y
3.551 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y
3.551 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.551 * [taylor]: Taking taylor expansion of y in y
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.551 * [taylor]: Taking taylor expansion of 3.0 in y
3.551 * [backup-simplify]: Simplify 3.0 into 3.0
3.551 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.553 * [backup-simplify]: Simplify (* 1 1) into 1
3.553 * [backup-simplify]: Simplify (* 1 1) into 1
3.554 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.555 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
3.555 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in y
3.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y
3.555 * [taylor]: Taking taylor expansion of 1/4 in y
3.555 * [backup-simplify]: Simplify 1/4 into 1/4
3.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y
3.555 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y
3.555 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.555 * [taylor]: Taking taylor expansion of z in y
3.555 * [backup-simplify]: Simplify z into z
3.555 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
3.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.555 * [taylor]: Taking taylor expansion of y in y
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.555 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.555 * [taylor]: Taking taylor expansion of 3.0 in y
3.555 * [backup-simplify]: Simplify 3.0 into 3.0
3.555 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.556 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.557 * [backup-simplify]: Simplify (* 1 1) into 1
3.558 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
3.558 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
3.559 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
3.559 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y
3.559 * [taylor]: Taking taylor expansion of 1/8 in y
3.559 * [backup-simplify]: Simplify 1/8 into 1/8
3.559 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y
3.559 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y
3.559 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.559 * [taylor]: Taking taylor expansion of z in y
3.559 * [backup-simplify]: Simplify z into z
3.559 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
3.559 * [taylor]: Taking taylor expansion of 3.0 in y
3.559 * [backup-simplify]: Simplify 3.0 into 3.0
3.559 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
3.560 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.560 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.561 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
3.561 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
3.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
3.578 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.579 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
3.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
3.582 * [backup-simplify]: Simplify (+ 0 0) into 0
3.582 * [backup-simplify]: Simplify (+ 0 0) into 0
3.582 * [backup-simplify]: Simplify (- 0) into 0
3.582 * [taylor]: Taking taylor expansion of 0 in z
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [taylor]: Taking taylor expansion of 0 in z
3.582 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
3.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
3.589 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.590 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
3.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [taylor]: Taking taylor expansion of 0 in z
3.592 * [backup-simplify]: Simplify 0 into 0
3.592 * [taylor]: Taking taylor expansion of 0 in z
3.592 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
3.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.595 * [taylor]: Taking taylor expansion of 0 in z
3.595 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
3.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
3.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
3.601 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (/ x (sqrt 3.0)))
3.602 * * * [progress]: simplifying candidates
3.605 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0)))
  (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0)))
  (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))
  (cbrt (/ (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)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 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 (+ (+ (* 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))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (* (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 3.0))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (* (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)))) (sqrt 3.0))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (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 3.0))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (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)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))
  (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ 1 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (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 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z))))
  z
  x
  (* -1 x)
  (/ z (sqrt 3.0))
  (/ x (sqrt 3.0))
  (* -1 (/ x (sqrt 3.0)))
3.609 * * [simplify]: iteration 0: 119 enodes
3.645 * * [simplify]: iteration 1: 217 enodes
3.710 * * [simplify]: iteration 2: 485 enodes
3.904 * * [simplify]: iteration 3: 1362 enodes
4.900 * * [simplify]: iteration 4: 4293 enodes
6.505 * * [simplify]: iteration complete: 5000 enodes
6.506 * * [simplify]: Extracting #0: cost 66 inf + 0
6.506 * * [simplify]: Extracting #1: cost 209 inf + 4
6.508 * * [simplify]: Extracting #2: cost 465 inf + 1138
6.516 * * [simplify]: Extracting #3: cost 847 inf + 26298
6.595 * * [simplify]: Extracting #4: cost 376 inf + 187697
6.685 * * [simplify]: Extracting #5: cost 60 inf + 283478
6.779 * * [simplify]: Extracting #6: cost 42 inf + 297396
6.905 * * [simplify]: Extracting #7: cost 40 inf + 305716
7.036 * * [simplify]: Extracting #8: cost 8 inf + 312224
7.152 * * [simplify]: Extracting #9: cost 0 inf + 314892
7.268 * [simplify]: Simplified to:
  (log (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (exp (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (+ (* z z) (+ (* x x) (* y y))) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  1
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (+ (* x x) (* y y)))) (* (* z z) (* 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 (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (log (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (log (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (* (sqrt (+ (* z z) (+ (* x x) (* y y)))) (/ (+ (* z z) (+ (* x x) (* y y))) (* (sqrt 3.0) 3.0)))
  (* (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))))
  (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (* (sqrt (+ (* z z) (+ (* x x) (* y y)))) (/ (+ (* z z) (+ (* x x) (* y y))) (* (sqrt 3.0) 3.0)))
  (/ (+ (* z z) (+ (* x x) (* y y))) 3.0)
  (sqrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (- (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (- (sqrt 3.0))
  (* (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))) (fabs (cbrt 3.0)))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (/ (sqrt 3.0) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (sqrt (+ (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (+ (* x x) (* y y)))) (* (* z z) (* z z)))) (sqrt 3.0))
  (* (sqrt (+ (* x x) (- (* y y) (* z z)))) (sqrt 3.0))
  z
  x
  (- x)
  (/ z (sqrt 3.0))
  (/ x (sqrt 3.0))
  (/ (- x) (sqrt 3.0))
7.283 * * * [progress]: adding candidates to table
7.685 * * [progress]: iteration 3 / 4
7.685 * * * [progress]: picking best candidate
7.711 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
7.711 * * * [progress]: localizing error
7.729 * * * [progress]: generating rewritten candidates
7.729 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
7.763 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
7.847 * * * [progress]: generating series expansions
7.847 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
7.848 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.848 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
7.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.848 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.848 * [taylor]: Taking taylor expansion of y in z
7.848 * [backup-simplify]: Simplify y into y
7.848 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.848 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.848 * [taylor]: Taking taylor expansion of x in z
7.848 * [backup-simplify]: Simplify x into x
7.848 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.848 * [taylor]: Taking taylor expansion of z in z
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.848 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.848 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.848 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.848 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.849 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.850 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.850 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.850 * [taylor]: Taking taylor expansion of y in y
7.850 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify 1 into 1
7.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.850 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.850 * [taylor]: Taking taylor expansion of x in y
7.850 * [backup-simplify]: Simplify x into x
7.850 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.850 * [taylor]: Taking taylor expansion of z in y
7.850 * [backup-simplify]: Simplify z into z
7.850 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.850 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.850 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.850 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.850 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.850 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.850 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.851 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.851 * [taylor]: Taking taylor expansion of y in x
7.851 * [backup-simplify]: Simplify y into y
7.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.851 * [taylor]: Taking taylor expansion of x in x
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.851 * [taylor]: Taking taylor expansion of z in x
7.851 * [backup-simplify]: Simplify z into z
7.851 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.851 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.852 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.852 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.852 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.852 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.852 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.853 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.853 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.853 * [taylor]: Taking taylor expansion of y in x
7.853 * [backup-simplify]: Simplify y into y
7.853 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.853 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.853 * [taylor]: Taking taylor expansion of x in x
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.853 * [taylor]: Taking taylor expansion of z in x
7.853 * [backup-simplify]: Simplify z into z
7.853 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.853 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.853 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.853 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.853 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.853 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.854 * [backup-simplify]: Simplify (+ 0 0) into 0
7.854 * [backup-simplify]: Simplify (+ 0 0) into 0
7.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
7.854 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.854 * [taylor]: Taking taylor expansion of y in y
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.854 * [taylor]: Taking taylor expansion of z in y
7.854 * [backup-simplify]: Simplify z into z
7.854 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.854 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.855 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
7.855 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
7.855 * [taylor]: Taking taylor expansion of z in z
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 1 into 1
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [taylor]: Taking taylor expansion of 0 in y
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [taylor]: Taking taylor expansion of 0 in z
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [taylor]: Taking taylor expansion of 0 in z
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 1 into 1
7.856 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.856 * [backup-simplify]: Simplify (* 1 1) into 1
7.856 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.856 * [backup-simplify]: Simplify (+ 1 0) into 1
7.857 * [backup-simplify]: Simplify (+ 0 1) into 1
7.857 * [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)))))
7.857 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
7.857 * [taylor]: Taking taylor expansion of 1/2 in y
7.857 * [backup-simplify]: Simplify 1/2 into 1/2
7.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
7.857 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
7.857 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.857 * [taylor]: Taking taylor expansion of y in y
7.857 * [backup-simplify]: Simplify 0 into 0
7.857 * [backup-simplify]: Simplify 1 into 1
7.857 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.857 * [taylor]: Taking taylor expansion of z in y
7.857 * [backup-simplify]: Simplify z into z
7.858 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.858 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.858 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.858 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
7.858 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
7.859 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
7.859 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.859 * [taylor]: Taking taylor expansion of 1/2 in z
7.859 * [backup-simplify]: Simplify 1/2 into 1/2
7.859 * [taylor]: Taking taylor expansion of z in z
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [taylor]: Taking taylor expansion of 0 in z
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify (* 1 1) into 1
7.861 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.861 * [backup-simplify]: Simplify (+ 1 0) into 1
7.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
7.862 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.862 * [taylor]: Taking taylor expansion of 1/2 in z
7.862 * [backup-simplify]: Simplify 1/2 into 1/2
7.862 * [taylor]: Taking taylor expansion of z in z
7.862 * [backup-simplify]: Simplify 0 into 0
7.862 * [backup-simplify]: Simplify 1 into 1
7.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
7.865 * [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)))))
7.865 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.865 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.865 * [taylor]: Taking taylor expansion of y in z
7.865 * [backup-simplify]: Simplify y into y
7.865 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.865 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.865 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.866 * [taylor]: Taking taylor expansion of x in z
7.866 * [backup-simplify]: Simplify x into x
7.866 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.866 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.866 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.866 * [taylor]: Taking taylor expansion of z in z
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify 1 into 1
7.867 * [backup-simplify]: Simplify (* 1 1) into 1
7.867 * [backup-simplify]: Simplify (/ 1 1) into 1
7.867 * [backup-simplify]: Simplify (+ 0 1) into 1
7.868 * [backup-simplify]: Simplify (+ 0 1) into 1
7.868 * [backup-simplify]: Simplify (sqrt 1) into 1
7.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.871 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.871 * [taylor]: Taking taylor expansion of y in y
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (* 1 1) into 1
7.872 * [backup-simplify]: Simplify (/ 1 1) into 1
7.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.872 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.872 * [taylor]: Taking taylor expansion of x in y
7.872 * [backup-simplify]: Simplify x into x
7.872 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.872 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.872 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.873 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.873 * [taylor]: Taking taylor expansion of z in y
7.873 * [backup-simplify]: Simplify z into z
7.873 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.873 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.873 * [backup-simplify]: Simplify (+ 1 0) into 1
7.874 * [backup-simplify]: Simplify (sqrt 1) into 1
7.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.876 * [backup-simplify]: Simplify (+ 0 0) into 0
7.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.876 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.876 * [taylor]: Taking taylor expansion of y in x
7.876 * [backup-simplify]: Simplify y into y
7.877 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.877 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.877 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.877 * [taylor]: Taking taylor expansion of x in x
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.877 * [backup-simplify]: Simplify (* 1 1) into 1
7.878 * [backup-simplify]: Simplify (/ 1 1) into 1
7.878 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.878 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.878 * [taylor]: Taking taylor expansion of z in x
7.878 * [backup-simplify]: Simplify z into z
7.878 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.878 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.878 * [backup-simplify]: Simplify (+ 1 0) into 1
7.879 * [backup-simplify]: Simplify (+ 0 1) into 1
7.880 * [backup-simplify]: Simplify (sqrt 1) into 1
7.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.881 * [backup-simplify]: Simplify (+ 0 0) into 0
7.882 * [backup-simplify]: Simplify (+ 0 0) into 0
7.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.882 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.882 * [taylor]: Taking taylor expansion of y in x
7.883 * [backup-simplify]: Simplify y into y
7.883 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.883 * [taylor]: Taking taylor expansion of x in x
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
7.884 * [backup-simplify]: Simplify (/ 1 1) into 1
7.884 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.884 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.884 * [taylor]: Taking taylor expansion of z in x
7.884 * [backup-simplify]: Simplify z into z
7.884 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.884 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.884 * [backup-simplify]: Simplify (+ 1 0) into 1
7.885 * [backup-simplify]: Simplify (+ 0 1) into 1
7.885 * [backup-simplify]: Simplify (sqrt 1) into 1
7.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.888 * [taylor]: Taking taylor expansion of 1 in y
7.888 * [backup-simplify]: Simplify 1 into 1
7.888 * [taylor]: Taking taylor expansion of 0 in y
7.888 * [backup-simplify]: Simplify 0 into 0
7.888 * [taylor]: Taking taylor expansion of 1 in z
7.888 * [backup-simplify]: Simplify 1 into 1
7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.890 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.891 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.892 * [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))))
7.892 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.892 * [taylor]: Taking taylor expansion of 1/2 in y
7.892 * [backup-simplify]: Simplify 1/2 into 1/2
7.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.892 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.892 * [taylor]: Taking taylor expansion of y in y
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.893 * [backup-simplify]: Simplify (* 1 1) into 1
7.893 * [backup-simplify]: Simplify (/ 1 1) into 1
7.893 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.893 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.893 * [taylor]: Taking taylor expansion of z in y
7.893 * [backup-simplify]: Simplify z into z
7.893 * [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) (* 0 1)) into 0
7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.895 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (+ 1 0) into 1
7.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.897 * [taylor]: Taking taylor expansion of 0 in z
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [taylor]: Taking taylor expansion of 0 in z
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [taylor]: Taking taylor expansion of 0 in z
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify 1 into 1
7.897 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.900 * [backup-simplify]: Simplify (+ 0 0) into 0
7.900 * [backup-simplify]: Simplify (+ 0 0) into 0
7.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.901 * [taylor]: Taking taylor expansion of 0 in y
7.901 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.903 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.904 * [taylor]: Taking taylor expansion of 1/2 in z
7.904 * [backup-simplify]: Simplify 1/2 into 1/2
7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.904 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.904 * [taylor]: Taking taylor expansion of z in z
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (* 1 1) into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [taylor]: Taking taylor expansion of 0 in z
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [taylor]: Taking taylor expansion of 0 in z
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.908 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.908 * [backup-simplify]: Simplify (+ 0 0) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [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))))))
7.910 * [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
7.910 * [taylor]: Taking taylor expansion of -1/2 in y
7.910 * [backup-simplify]: Simplify -1/2 into -1/2
7.910 * [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
7.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.910 * [taylor]: Taking taylor expansion of 1/2 in y
7.910 * [backup-simplify]: Simplify 1/2 into 1/2
7.910 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.910 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.910 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.910 * [taylor]: Taking taylor expansion of z in y
7.910 * [backup-simplify]: Simplify z into z
7.910 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.910 * [taylor]: Taking taylor expansion of y in y
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.910 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.911 * [backup-simplify]: Simplify (* 1 1) into 1
7.911 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.911 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.911 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.911 * [taylor]: Taking taylor expansion of 1/4 in y
7.911 * [backup-simplify]: Simplify 1/4 into 1/4
7.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.911 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.911 * [taylor]: Taking taylor expansion of y in y
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 1 into 1
7.911 * [backup-simplify]: Simplify (* 1 1) into 1
7.911 * [backup-simplify]: Simplify (* 1 1) into 1
7.912 * [backup-simplify]: Simplify (/ 1 1) into 1
7.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.912 * [taylor]: Taking taylor expansion of 1/4 in y
7.912 * [backup-simplify]: Simplify 1/4 into 1/4
7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.912 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.912 * [taylor]: Taking taylor expansion of z in y
7.912 * [backup-simplify]: Simplify z into z
7.912 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.912 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.912 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.912 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.913 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.919 * [backup-simplify]: Simplify (+ 0 0) into 0
7.919 * [backup-simplify]: Simplify (+ 0 0) into 0
7.919 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.920 * [backup-simplify]: Simplify (+ 0 0) into 0
7.920 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.921 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.922 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.922 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.922 * [taylor]: Taking taylor expansion of 0 in z
7.922 * [backup-simplify]: Simplify 0 into 0
7.923 * [taylor]: Taking taylor expansion of 0 in z
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.924 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.924 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.925 * [taylor]: Taking taylor expansion of 0 in z
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [taylor]: Taking taylor expansion of 0 in z
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [taylor]: Taking taylor expansion of 0 in z
7.925 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
7.927 * [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)))))
7.927 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
7.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.927 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.927 * [taylor]: Taking taylor expansion of y in z
7.927 * [backup-simplify]: Simplify y into y
7.927 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.927 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.927 * [taylor]: Taking taylor expansion of x in z
7.927 * [backup-simplify]: Simplify x into x
7.927 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.928 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.928 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.928 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.928 * [taylor]: Taking taylor expansion of z in z
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify 1 into 1
7.928 * [backup-simplify]: Simplify (* 1 1) into 1
7.928 * [backup-simplify]: Simplify (/ 1 1) into 1
7.928 * [backup-simplify]: Simplify (+ 0 1) into 1
7.929 * [backup-simplify]: Simplify (+ 0 1) into 1
7.929 * [backup-simplify]: Simplify (sqrt 1) into 1
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.932 * [taylor]: Taking taylor expansion of y in y
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.933 * [backup-simplify]: Simplify (* 1 1) into 1
7.933 * [backup-simplify]: Simplify (/ 1 1) into 1
7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.933 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.933 * [taylor]: Taking taylor expansion of x in y
7.933 * [backup-simplify]: Simplify x into x
7.933 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.933 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.933 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.933 * [taylor]: Taking taylor expansion of z in y
7.933 * [backup-simplify]: Simplify z into z
7.933 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.933 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.934 * [backup-simplify]: Simplify (+ 1 0) into 1
7.934 * [backup-simplify]: Simplify (sqrt 1) into 1
7.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.935 * [backup-simplify]: Simplify (+ 0 0) into 0
7.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.936 * [taylor]: Taking taylor expansion of y in x
7.936 * [backup-simplify]: Simplify y into y
7.936 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.937 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.937 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.937 * [taylor]: Taking taylor expansion of x in x
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (* 1 1) into 1
7.938 * [backup-simplify]: Simplify (/ 1 1) into 1
7.938 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.938 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.938 * [taylor]: Taking taylor expansion of z in x
7.938 * [backup-simplify]: Simplify z into z
7.938 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.938 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.939 * [backup-simplify]: Simplify (+ 1 0) into 1
7.939 * [backup-simplify]: Simplify (+ 0 1) into 1
7.939 * [backup-simplify]: Simplify (sqrt 1) into 1
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.941 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (+ 0 0) into 0
7.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.942 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.942 * [taylor]: Taking taylor expansion of y in x
7.942 * [backup-simplify]: Simplify y into y
7.942 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.943 * [taylor]: Taking taylor expansion of x in x
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 1 into 1
7.943 * [backup-simplify]: Simplify (* 1 1) into 1
7.943 * [backup-simplify]: Simplify (/ 1 1) into 1
7.943 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.943 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.943 * [taylor]: Taking taylor expansion of z in x
7.943 * [backup-simplify]: Simplify z into z
7.944 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.944 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.944 * [backup-simplify]: Simplify (+ 1 0) into 1
7.944 * [backup-simplify]: Simplify (+ 0 1) into 1
7.945 * [backup-simplify]: Simplify (sqrt 1) into 1
7.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.947 * [taylor]: Taking taylor expansion of 1 in y
7.948 * [backup-simplify]: Simplify 1 into 1
7.948 * [taylor]: Taking taylor expansion of 0 in y
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [taylor]: Taking taylor expansion of 1 in z
7.948 * [backup-simplify]: Simplify 1 into 1
7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.950 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.951 * [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))))
7.951 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
7.951 * [taylor]: Taking taylor expansion of 1/2 in y
7.951 * [backup-simplify]: Simplify 1/2 into 1/2
7.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
7.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.951 * [taylor]: Taking taylor expansion of y in y
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (* 1 1) into 1
7.952 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.952 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.952 * [taylor]: Taking taylor expansion of z in y
7.952 * [backup-simplify]: Simplify z into z
7.952 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.952 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (+ 1 0) into 1
7.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.955 * [taylor]: Taking taylor expansion of 0 in z
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [taylor]: Taking taylor expansion of 0 in z
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [taylor]: Taking taylor expansion of 0 in z
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.960 * [taylor]: Taking taylor expansion of 0 in y
7.960 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.962 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.963 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.963 * [taylor]: Taking taylor expansion of 1/2 in z
7.963 * [backup-simplify]: Simplify 1/2 into 1/2
7.963 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.963 * [taylor]: Taking taylor expansion of (pow z 2) in z
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 (* 1 1) into 1
7.964 * [backup-simplify]: Simplify (/ 1 1) into 1
7.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [taylor]: Taking taylor expansion of 0 in z
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [taylor]: Taking taylor expansion of 0 in z
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.973 * [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))))))
7.973 * [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
7.973 * [taylor]: Taking taylor expansion of -1/2 in y
7.973 * [backup-simplify]: Simplify -1/2 into -1/2
7.973 * [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
7.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.973 * [taylor]: Taking taylor expansion of 1/2 in y
7.973 * [backup-simplify]: Simplify 1/2 into 1/2
7.973 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.973 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.973 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.974 * [taylor]: Taking taylor expansion of z in y
7.974 * [backup-simplify]: Simplify z into z
7.974 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.974 * [taylor]: Taking taylor expansion of y in y
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.974 * [backup-simplify]: Simplify (* 1 1) into 1
7.974 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.974 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.974 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
7.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.975 * [taylor]: Taking taylor expansion of 1/4 in y
7.975 * [backup-simplify]: Simplify 1/4 into 1/4
7.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.975 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.975 * [taylor]: Taking taylor expansion of y in y
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.975 * [backup-simplify]: Simplify (* 1 1) into 1
7.975 * [backup-simplify]: Simplify (* 1 1) into 1
7.976 * [backup-simplify]: Simplify (/ 1 1) into 1
7.976 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.976 * [taylor]: Taking taylor expansion of 1/4 in y
7.976 * [backup-simplify]: Simplify 1/4 into 1/4
7.976 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.976 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.976 * [taylor]: Taking taylor expansion of z in y
7.976 * [backup-simplify]: Simplify z into z
7.976 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.976 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.977 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.977 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.978 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.989 * [backup-simplify]: Simplify (+ 0 0) into 0
7.989 * [backup-simplify]: Simplify (+ 0 0) into 0
7.989 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.991 * [backup-simplify]: Simplify (+ 0 0) into 0
7.991 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.993 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.993 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.994 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.995 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.995 * [taylor]: Taking taylor expansion of 0 in z
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [taylor]: Taking taylor expansion of 0 in z
7.995 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.999 * [backup-simplify]: Simplify (+ 0 0) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.000 * [taylor]: Taking taylor expansion of 0 in z
8.000 * [backup-simplify]: Simplify 0 into 0
8.000 * [taylor]: Taking taylor expansion of 0 in z
8.000 * [backup-simplify]: Simplify 0 into 0
8.000 * [taylor]: Taking taylor expansion of 0 in z
8.000 * [backup-simplify]: Simplify 0 into 0
8.001 * [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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.003 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
8.003 * * * * [progress]: [ 2 / 2 ] generating series at (2)
8.005 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
8.005 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
8.005 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
8.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.005 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.005 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.005 * [taylor]: Taking taylor expansion of y in z
8.005 * [backup-simplify]: Simplify y into y
8.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.005 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.005 * [taylor]: Taking taylor expansion of x in z
8.005 * [backup-simplify]: Simplify x into x
8.005 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.005 * [taylor]: Taking taylor expansion of z in z
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.005 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.006 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.006 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.006 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.006 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.008 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.008 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.008 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.008 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.009 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.009 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.009 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.009 * [taylor]: Taking taylor expansion of x in y
8.009 * [backup-simplify]: Simplify x into x
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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.009 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.010 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.010 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.010 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.010 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.010 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.012 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.012 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.012 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.013 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.013 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.013 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.013 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.013 * [taylor]: Taking taylor expansion of y in x
8.013 * [backup-simplify]: Simplify y into y
8.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.013 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.013 * [taylor]: Taking taylor expansion of x in x
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 1 into 1
8.013 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.013 * [taylor]: Taking taylor expansion of z in x
8.013 * [backup-simplify]: Simplify z into z
8.013 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.014 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.014 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.014 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.014 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.015 * [backup-simplify]: Simplify (+ 0 0) into 0
8.015 * [backup-simplify]: Simplify (+ 0 0) into 0
8.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.015 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.015 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.015 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.016 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.016 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.016 * [taylor]: Taking taylor expansion of y in x
8.016 * [backup-simplify]: Simplify y into y
8.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.016 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.016 * [taylor]: Taking taylor expansion of x in x
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 1 into 1
8.016 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.016 * [taylor]: Taking taylor expansion of z in x
8.016 * [backup-simplify]: Simplify z into z
8.016 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.016 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.016 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.016 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.017 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.017 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) 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 (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.017 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.017 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.017 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.018 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.019 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
8.019 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
8.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.019 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.019 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.019 * [taylor]: Taking taylor expansion of y in y
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.019 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.019 * [taylor]: Taking taylor expansion of z in y
8.019 * [backup-simplify]: Simplify z into z
8.019 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.019 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.019 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.019 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.019 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.020 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.020 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
8.020 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
8.020 * [taylor]: Taking taylor expansion of z in z
8.020 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify 1 into 1
8.020 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.021 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.021 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.021 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.021 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.022 * [taylor]: Taking taylor expansion of 0 in y
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [taylor]: Taking taylor expansion of 0 in z
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.023 * [taylor]: Taking taylor expansion of 0 in z
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
8.024 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.025 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.026 * [backup-simplify]: Simplify (+ 1 0) into 1
8.026 * [backup-simplify]: Simplify (+ 0 1) into 1
8.027 * [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)))))
8.028 * [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)))
8.028 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
8.028 * [taylor]: Taking taylor expansion of 1/2 in y
8.028 * [backup-simplify]: Simplify 1/2 into 1/2
8.028 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.028 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.028 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.028 * [taylor]: Taking taylor expansion of y in y
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.028 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.028 * [taylor]: Taking taylor expansion of z in y
8.028 * [backup-simplify]: Simplify z into z
8.028 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.028 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.028 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.028 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.028 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.028 * [backup-simplify]: Simplify (+ 0 0) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.029 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.029 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.029 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.030 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
8.030 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.030 * [taylor]: Taking taylor expansion of 1/2 in z
8.030 * [backup-simplify]: Simplify 1/2 into 1/2
8.030 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.030 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.030 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.030 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.031 * [taylor]: Taking taylor expansion of z in z
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [taylor]: Taking taylor expansion of 0 in z
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.033 * [backup-simplify]: Simplify (* 1 1) into 1
8.034 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.034 * [backup-simplify]: Simplify (+ 1 0) into 1
8.034 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.035 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.035 * [taylor]: Taking taylor expansion of 1/2 in z
8.035 * [backup-simplify]: Simplify 1/2 into 1/2
8.035 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.035 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.035 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.035 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.036 * [taylor]: Taking taylor expansion of z in z
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.036 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
8.040 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
8.040 * [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
8.040 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.041 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.041 * [taylor]: Taking taylor expansion of y in z
8.041 * [backup-simplify]: Simplify y into y
8.041 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.041 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.041 * [taylor]: Taking taylor expansion of x in z
8.041 * [backup-simplify]: Simplify x into x
8.041 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.041 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.041 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.041 * [taylor]: Taking taylor expansion of z in z
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (* 1 1) into 1
8.041 * [backup-simplify]: Simplify (/ 1 1) into 1
8.042 * [backup-simplify]: Simplify (+ 0 1) into 1
8.042 * [backup-simplify]: Simplify (+ 0 1) into 1
8.042 * [backup-simplify]: Simplify (sqrt 1) into 1
8.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.044 * [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 0.3333333333333333) in z
8.045 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.045 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.045 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.046 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.046 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.046 * [taylor]: Taking taylor expansion of y in y
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (* 1 1) into 1
8.047 * [backup-simplify]: Simplify (/ 1 1) into 1
8.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.047 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.047 * [taylor]: Taking taylor expansion of x in y
8.047 * [backup-simplify]: Simplify x into x
8.047 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.047 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.047 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.048 * [taylor]: Taking taylor expansion of z in y
8.048 * [backup-simplify]: Simplify z into z
8.048 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.048 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.048 * [backup-simplify]: Simplify (+ 1 0) into 1
8.049 * [backup-simplify]: Simplify (sqrt 1) into 1
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (sqrt 0.3333333333333333) in y
8.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.051 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.052 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.052 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.053 * [taylor]: Taking taylor expansion of y in x
8.053 * [backup-simplify]: Simplify y into y
8.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.053 * [taylor]: Taking taylor expansion of x in x
8.053 * [backup-simplify]: Simplify 0 into 0
8.053 * [backup-simplify]: Simplify 1 into 1
8.053 * [backup-simplify]: Simplify (* 1 1) into 1
8.054 * [backup-simplify]: Simplify (/ 1 1) into 1
8.054 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.054 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.054 * [taylor]: Taking taylor expansion of z in x
8.054 * [backup-simplify]: Simplify z into z
8.054 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.054 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.055 * [backup-simplify]: Simplify (+ 1 0) into 1
8.055 * [backup-simplify]: Simplify (+ 0 1) into 1
8.056 * [backup-simplify]: Simplify (sqrt 1) into 1
8.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.057 * [backup-simplify]: Simplify (+ 0 0) into 0
8.058 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.059 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.059 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.059 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.059 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.059 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.059 * [taylor]: Taking taylor expansion of y in x
8.059 * [backup-simplify]: Simplify y into y
8.059 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.060 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.060 * [taylor]: Taking taylor expansion of x in x
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify 1 into 1
8.060 * [backup-simplify]: Simplify (* 1 1) into 1
8.060 * [backup-simplify]: Simplify (/ 1 1) into 1
8.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.060 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.060 * [taylor]: Taking taylor expansion of z in x
8.060 * [backup-simplify]: Simplify z into z
8.060 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.060 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.061 * [backup-simplify]: Simplify (+ 1 0) into 1
8.061 * [backup-simplify]: Simplify (+ 0 1) into 1
8.061 * [backup-simplify]: Simplify (sqrt 1) into 1
8.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.065 * [backup-simplify]: Simplify (+ 0 0) into 0
8.066 * [backup-simplify]: Simplify (+ 0 0) into 0
8.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.066 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.067 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.068 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.068 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.068 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.068 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.068 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.069 * [taylor]: Taking taylor expansion of 0 in y
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.069 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.069 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.070 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.072 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.073 * [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))))
8.074 * [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))))
8.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.074 * [taylor]: Taking taylor expansion of 1/2 in y
8.074 * [backup-simplify]: Simplify 1/2 into 1/2
8.074 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.074 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.074 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.074 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.075 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.075 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.075 * [taylor]: Taking taylor expansion of z in y
8.075 * [backup-simplify]: Simplify z into z
8.075 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.075 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.076 * [taylor]: Taking taylor expansion of 1/2 in y
8.076 * [backup-simplify]: Simplify 1/2 into 1/2
8.076 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.076 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.076 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.076 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.076 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.076 * [taylor]: Taking taylor expansion of y in y
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.077 * [backup-simplify]: Simplify (* 1 1) into 1
8.077 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.079 * [backup-simplify]: Simplify (+ 0 0) into 0
8.079 * [taylor]: Taking taylor expansion of 0 in z
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [taylor]: Taking taylor expansion of 0 in z
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [taylor]: Taking taylor expansion of 0 in z
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.084 * [taylor]: Taking taylor expansion of 0 in y
8.084 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.085 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.087 * [taylor]: Taking taylor expansion of 1/2 in z
8.087 * [backup-simplify]: Simplify 1/2 into 1/2
8.087 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.087 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.087 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.087 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.087 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.088 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.088 * [taylor]: Taking taylor expansion of z in z
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (* 1 1) into 1
8.089 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.090 * [backup-simplify]: Simplify 0 into 0
8.091 * [taylor]: Taking taylor expansion of 0 in z
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.091 * [taylor]: Taking taylor expansion of 0 in z
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.095 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (+ 0 0) into 0
8.096 * [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))))))
8.098 * [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))))))
8.098 * [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
8.098 * [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
8.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.098 * [taylor]: Taking taylor expansion of 1/4 in y
8.098 * [backup-simplify]: Simplify 1/4 into 1/4
8.098 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
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
8.098 * [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 (* (pow z 2) (pow y 2)) in y
8.099 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.099 * [taylor]: Taking taylor expansion of z in y
8.099 * [backup-simplify]: Simplify z into z
8.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.099 * [taylor]: Taking taylor expansion of y in y
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 1 into 1
8.099 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.100 * [backup-simplify]: Simplify (* 1 1) into 1
8.100 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.101 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.101 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.101 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.101 * [taylor]: Taking taylor expansion of 1/8 in y
8.101 * [backup-simplify]: Simplify 1/8 into 1/8
8.101 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.101 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.101 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.101 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.101 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.102 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.102 * [taylor]: Taking taylor expansion of y in y
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 1 into 1
8.103 * [backup-simplify]: Simplify (* 1 1) into 1
8.103 * [backup-simplify]: Simplify (* 1 1) into 1
8.104 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.104 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.104 * [taylor]: Taking taylor expansion of 1/8 in y
8.104 * [backup-simplify]: Simplify 1/8 into 1/8
8.104 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
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
8.104 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.105 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.105 * [taylor]: Taking taylor expansion of z in y
8.105 * [backup-simplify]: Simplify z into z
8.105 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.106 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.106 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.107 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.108 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.108 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.122 * [backup-simplify]: Simplify (+ 0 0) into 0
8.123 * [backup-simplify]: Simplify (+ 0 0) into 0
8.123 * [backup-simplify]: Simplify (- 0) into 0
8.123 * [taylor]: Taking taylor expansion of 0 in z
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [taylor]: Taking taylor expansion of 0 in z
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.124 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.129 * [backup-simplify]: Simplify (+ 0 0) into 0
8.129 * [taylor]: Taking taylor expansion of 0 in z
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [taylor]: Taking taylor expansion of 0 in z
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.129 * [taylor]: Taking taylor expansion of 0 in z
8.129 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
8.133 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
8.133 * [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
8.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.133 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.133 * [taylor]: Taking taylor expansion of y in z
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 z
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.134 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.134 * [taylor]: Taking taylor expansion of x in z
8.134 * [backup-simplify]: Simplify x into x
8.134 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.134 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.134 * [taylor]: Taking taylor expansion of z in z
8.134 * [backup-simplify]: Simplify 0 into 0
8.134 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (* 1 1) into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.135 * [backup-simplify]: Simplify (+ 0 1) 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 z
8.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
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 y
8.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.138 * [taylor]: Taking taylor expansion of y in y
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 x 2)) (/ 1 (pow z 2))) in y
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.138 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.138 * [taylor]: Taking taylor expansion of x in y
8.138 * [backup-simplify]: Simplify x into x
8.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.138 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.138 * [taylor]: Taking taylor expansion of z in y
8.138 * [backup-simplify]: Simplify z into z
8.138 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.139 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.139 * [backup-simplify]: Simplify (+ 1 0) 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
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
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
8.141 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.142 * [taylor]: Taking taylor expansion of y in x
8.142 * [backup-simplify]: Simplify y into y
8.142 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.142 * [taylor]: Taking taylor expansion of x in x
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.142 * [backup-simplify]: Simplify (/ 1 1) into 1
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.142 * [taylor]: Taking taylor expansion of z in x
8.142 * [backup-simplify]: Simplify z into z
8.142 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.143 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.143 * [backup-simplify]: Simplify (+ 1 0) into 1
8.143 * [backup-simplify]: Simplify (+ 0 1) into 1
8.143 * [backup-simplify]: Simplify (sqrt 1) into 1
8.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.144 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.145 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.145 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.145 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.145 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.146 * [taylor]: Taking taylor expansion of y in x
8.146 * [backup-simplify]: Simplify y into y
8.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.146 * [taylor]: Taking taylor expansion of x in x
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (* 1 1) into 1
8.147 * [backup-simplify]: Simplify (/ 1 1) into 1
8.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.147 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.147 * [taylor]: Taking taylor expansion of z in x
8.147 * [backup-simplify]: Simplify z into z
8.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.147 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.147 * [backup-simplify]: Simplify (+ 1 0) into 1
8.147 * [backup-simplify]: Simplify (+ 0 1) into 1
8.148 * [backup-simplify]: Simplify (sqrt 1) into 1
8.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.149 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.149 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.149 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.150 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.151 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.151 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.151 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.151 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.152 * [taylor]: Taking taylor expansion of 0 in y
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.152 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.152 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.155 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.157 * [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))))
8.158 * [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))))
8.158 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.158 * [taylor]: Taking taylor expansion of 1/2 in y
8.158 * [backup-simplify]: Simplify 1/2 into 1/2
8.158 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.158 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.159 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.159 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.160 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.160 * [taylor]: Taking taylor expansion of z in y
8.160 * [backup-simplify]: Simplify z into z
8.160 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.160 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.160 * [taylor]: Taking taylor expansion of 1/2 in y
8.160 * [backup-simplify]: Simplify 1/2 into 1/2
8.160 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.160 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.161 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.161 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.161 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.162 * [taylor]: Taking taylor expansion of y in y
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [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)
8.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.166 * [taylor]: Taking taylor expansion of 0 in z
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [taylor]: Taking taylor expansion of 0 in z
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [taylor]: Taking taylor expansion of 0 in z
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.173 * [backup-simplify]: Simplify (+ 0 0) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.177 * [taylor]: Taking taylor expansion of 0 in y
8.177 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.183 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.183 * [taylor]: Taking taylor expansion of 1/2 in z
8.183 * [backup-simplify]: Simplify 1/2 into 1/2
8.183 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.183 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.183 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.183 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.184 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.185 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.185 * [taylor]: Taking taylor expansion of z in z
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.186 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [taylor]: Taking taylor expansion of 0 in z
8.188 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.189 * [taylor]: Taking taylor expansion of 0 in z
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.195 * [backup-simplify]: Simplify (+ 0 0) into 0
8.196 * [backup-simplify]: Simplify (+ 0 0) into 0
8.197 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.200 * [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))))))
8.200 * [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
8.200 * [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
8.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.200 * [taylor]: Taking taylor expansion of 1/4 in y
8.200 * [backup-simplify]: Simplify 1/4 into 1/4
8.200 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
8.200 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.200 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.200 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.200 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.201 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.201 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.201 * [taylor]: Taking taylor expansion of z in y
8.201 * [backup-simplify]: Simplify z into z
8.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.201 * [taylor]: Taking taylor expansion of y in y
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 1 into 1
8.201 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.201 * [backup-simplify]: Simplify (* 1 1) into 1
8.201 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.202 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.202 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.202 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.202 * [taylor]: Taking taylor expansion of 1/8 in y
8.202 * [backup-simplify]: Simplify 1/8 into 1/8
8.202 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.202 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.202 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.202 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.202 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.202 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.203 * [taylor]: Taking taylor expansion of y in y
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (* 1 1) into 1
8.203 * [backup-simplify]: Simplify (* 1 1) into 1
8.204 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.204 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.204 * [taylor]: Taking taylor expansion of 1/8 in y
8.204 * [backup-simplify]: Simplify 1/8 into 1/8
8.204 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
8.204 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.204 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.204 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.204 * [taylor]: Taking taylor expansion of z in y
8.204 * [backup-simplify]: Simplify z into z
8.204 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.205 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.205 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.205 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.206 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.206 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.215 * [backup-simplify]: Simplify (- 0) into 0
8.215 * [taylor]: Taking taylor expansion of 0 in z
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [taylor]: Taking taylor expansion of 0 in z
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.216 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.220 * [backup-simplify]: Simplify (+ 0 0) into 0
8.220 * [taylor]: Taking taylor expansion of 0 in z
8.220 * [backup-simplify]: Simplify 0 into 0
8.220 * [taylor]: Taking taylor expansion of 0 in z
8.220 * [backup-simplify]: Simplify 0 into 0
8.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.221 * [taylor]: Taking taylor expansion of 0 in z
8.221 * [backup-simplify]: Simplify 0 into 0
8.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.222 * [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
8.223 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
8.224 * * * [progress]: simplifying candidates
8.225 * [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))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1))
  (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
8.226 * * [simplify]: iteration 0: 118 enodes
8.270 * * [simplify]: iteration 1: 241 enodes
8.333 * * [simplify]: iteration 2: 529 enodes
8.594 * * [simplify]: iteration 3: 1709 enodes
9.239 * * [simplify]: iteration complete: 5009 enodes
9.239 * * [simplify]: Extracting #0: cost 43 inf + 0
9.240 * * [simplify]: Extracting #1: cost 329 inf + 4
9.245 * * [simplify]: Extracting #2: cost 883 inf + 174
9.255 * * [simplify]: Extracting #3: cost 1566 inf + 5285
9.274 * * [simplify]: Extracting #4: cost 1854 inf + 27371
9.310 * * [simplify]: Extracting #5: cost 1438 inf + 109853
9.387 * * [simplify]: Extracting #6: cost 646 inf + 289213
9.504 * * [simplify]: Extracting #7: cost 352 inf + 379718
9.664 * * [simplify]: Extracting #8: cost 59 inf + 500775
9.822 * * [simplify]: Extracting #9: cost 1 inf + 525993
10.021 * * [simplify]: Extracting #10: cost 0 inf + 526478
10.131 * [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))))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (log (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (log (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (exp (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (/ 1 3.0) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (/ 1 3.0) (sqrt (/ 1 3.0))))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (sqrt (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* (sqrt (/ 1 3.0)) (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 3.0) (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)))) (sqrt 3.0))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (fabs (cbrt (/ 1 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (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 (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (/ 1 3.0)) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 3.0)) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 3.0)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (/ 1 3.0)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (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 (/ 1 3.0)))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))
  z
  x
  (- x)
  (* (sqrt 0.3333333333333333) z)
  (* x (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) (- x))
10.136 * * * [progress]: adding candidates to table
10.513 * * [progress]: iteration 4 / 4
10.513 * * * [progress]: picking best candidate
10.554 * * * * [pick]: Picked  #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
10.555 * * * [progress]: localizing error
10.564 * * * [progress]: generating rewritten candidates
10.564 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
10.577 * * * [progress]: generating series expansions
10.578 * * * * [progress]: [ 1 / 1 ] generating series at (2)
10.578 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
10.578 * [approximate]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in (z) around 0
10.578 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
10.578 * [taylor]: Taking taylor expansion of z in z
10.578 * [backup-simplify]: Simplify 0 into 0
10.578 * [backup-simplify]: Simplify 1 into 1
10.578 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.578 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.579 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.579 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
10.579 * [taylor]: Taking taylor expansion of z in z
10.579 * [backup-simplify]: Simplify 0 into 0
10.579 * [backup-simplify]: Simplify 1 into 1
10.579 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.579 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.579 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.580 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
10.580 * [backup-simplify]: Simplify 0 into 0
10.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
10.582 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
10.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
10.583 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
10.584 * [backup-simplify]: Simplify 0 into 0
10.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))) into 0
10.586 * [backup-simplify]: Simplify 0 into 0
10.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))) into 0
10.588 * [backup-simplify]: Simplify 0 into 0
10.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))))) into 0
10.590 * [backup-simplify]: Simplify 0 into 0
10.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))))) into 0
10.591 * [backup-simplify]: Simplify 0 into 0
10.592 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) z) into (* z (sqrt 0.3333333333333333))
10.592 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
10.592 * [approximate]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in (z) around 0
10.592 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
10.592 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.592 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.592 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.592 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.593 * [taylor]: Taking taylor expansion of z in z
10.593 * [backup-simplify]: Simplify 0 into 0
10.593 * [backup-simplify]: Simplify 1 into 1
10.593 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
10.593 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
10.593 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.593 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.593 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.594 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.594 * [taylor]: Taking taylor expansion of z in z
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.595 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
10.595 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
10.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.597 * [backup-simplify]: Simplify 0 into 0
10.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.600 * [backup-simplify]: Simplify 0 into 0
10.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.602 * [backup-simplify]: Simplify 0 into 0
10.603 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.603 * [backup-simplify]: Simplify 0 into 0
10.604 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (/ 1 (/ 1 z))) into (* z (sqrt 0.3333333333333333))
10.604 * [backup-simplify]: Simplify (* (/ 1 (- z)) (sqrt 0.3333333333333333)) into (* -1 (/ (sqrt 0.3333333333333333) z))
10.604 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in (z) around 0
10.604 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in z
10.604 * [taylor]: Taking taylor expansion of -1 in z
10.604 * [backup-simplify]: Simplify -1 into -1
10.604 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
10.604 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.604 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.604 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.604 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.605 * [taylor]: Taking taylor expansion of z in z
10.605 * [backup-simplify]: Simplify 0 into 0
10.605 * [backup-simplify]: Simplify 1 into 1
10.605 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
10.605 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in z
10.605 * [taylor]: Taking taylor expansion of -1 in z
10.606 * [backup-simplify]: Simplify -1 into -1
10.606 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
10.606 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
10.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
10.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
10.606 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
10.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
10.606 * [taylor]: Taking taylor expansion of z in z
10.606 * [backup-simplify]: Simplify 0 into 0
10.606 * [backup-simplify]: Simplify 1 into 1
10.607 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
10.608 * [backup-simplify]: Simplify (* -1 (sqrt 0.3333333333333333)) into (* -1 (sqrt 0.3333333333333333))
10.612 * [backup-simplify]: Simplify (* -1 (sqrt 0.3333333333333333)) into (* -1 (sqrt 0.3333333333333333))
10.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
10.614 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 0.3333333333333333))) into 0
10.614 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
10.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
10.617 * [backup-simplify]: Simplify 0 into 0
10.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
10.621 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.625 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))) into 0
10.625 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))) into 0
10.629 * [backup-simplify]: Simplify 0 into 0
10.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
10.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.634 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))))) into 0
10.634 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify (* (* -1 (sqrt 0.3333333333333333)) (/ 1 (/ 1 (- z)))) into (* z (sqrt 0.3333333333333333))
10.635 * * * [progress]: simplifying candidates
10.636 * [simplify]: Simplifying:
  (* z (sqrt 0.3333333333333333))
  (+ (log z) (log (sqrt 0.3333333333333333)))
  (log (* z (sqrt 0.3333333333333333)))
  (exp (* z (sqrt 0.3333333333333333)))
  (* (* (* z z) z) (* (* (sqrt 0.3333333333333333) (sqrt 0.3333333333333333)) (sqrt 0.3333333333333333)))
  (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333))))
  (cbrt (* z (sqrt 0.3333333333333333)))
  (* (* (* z (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333))) (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* z (* (cbrt (sqrt 0.3333333333333333)) (cbrt (sqrt 0.3333333333333333))))
  (* z (sqrt (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333))))
  (* z (sqrt (sqrt 0.3333333333333333)))
  (* z (sqrt 1))
  (* z (sqrt (sqrt 0.3333333333333333)))
  (* z 1)
  (* (cbrt z) (sqrt 0.3333333333333333))
  (* (sqrt z) (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
10.637 * * [simplify]: iteration 0: 37 enodes
10.652 * * [simplify]: iteration 1: 72 enodes
10.669 * * [simplify]: iteration 2: 205 enodes
10.748 * * [simplify]: iteration 3: 529 enodes
11.126 * * [simplify]: iteration 4: 1611 enodes
13.427 * * [simplify]: iteration 5: 4710 enodes
15.966 * * [simplify]: iteration complete: 5001 enodes
15.966 * * [simplify]: Extracting #0: cost 14 inf + 0
15.966 * * [simplify]: Extracting #1: cost 133 inf + 1
15.968 * * [simplify]: Extracting #2: cost 596 inf + 3468
15.979 * * [simplify]: Extracting #3: cost 326 inf + 38839
15.998 * * [simplify]: Extracting #4: cost 128 inf + 83090
16.021 * * [simplify]: Extracting #5: cost 12 inf + 127523
16.048 * * [simplify]: Extracting #6: cost 1 inf + 133615
16.071 * * [simplify]: Extracting #7: cost 0 inf + 133897
16.094 * [simplify]: Simplified to:
  (* z (sqrt 0.3333333333333333))
  (log (* z (sqrt 0.3333333333333333)))
  (log (* z (sqrt 0.3333333333333333)))
  (exp (* z (sqrt 0.3333333333333333)))
  (* (* (* z (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333))) (* z (sqrt 0.3333333333333333)))
  (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333))))
  (cbrt (* z (sqrt 0.3333333333333333)))
  (* (* (* z (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333))) (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (* (sqrt (sqrt 0.3333333333333333)) (sqrt z))
  (* (sqrt (sqrt 0.3333333333333333)) (sqrt z))
  (* (sqrt (sqrt 0.3333333333333333)) (sqrt z))
  (* (sqrt (sqrt 0.3333333333333333)) (sqrt z))
  (* (* (cbrt (sqrt 0.3333333333333333)) z) (cbrt (sqrt 0.3333333333333333)))
  (* z (fabs (cbrt 0.3333333333333333)))
  (* z (sqrt (sqrt 0.3333333333333333)))
  z
  (* z (sqrt (sqrt 0.3333333333333333)))
  z
  (* (cbrt z) (sqrt 0.3333333333333333))
  (* (sqrt z) (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
16.094 * * * [progress]: adding candidates to table
16.181 * [progress]: [Phase 3 of 3] Extracting.
16.181 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.183 * * * [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)
16.183 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.309 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.397 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.525 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.606 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.694 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.809 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.867 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.963 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
16.998 * * * * [regimes]: Trying to branch on (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.086 * * * * [regimes]: Trying to branch on (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.173 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.301 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.504 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.664 * * * [regime]: Found split indices: #<option (#s(si 2 48) #s(si 11 209) #s(si 10 255))>
17.665 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.794 * [regimes]: Found splitpoints: (#s(sp 2 x -8.656892189523162e+102) #s(sp 11 x 4.471707363468376e+118) #s(sp 10 x +nan.0)) , with alts (#<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) (- x)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
17.794 * [simplify]: Simplifying:
  (if (<= x -8.656892189523162e+102) (* (sqrt 0.3333333333333333) (- x)) (if (<= x 4.471707363468376e+118) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ x (sqrt 3.0))))
17.794 * * [simplify]: iteration 0: 23 enodes
17.798 * * [simplify]: iteration 1: 28 enodes
17.800 * * [simplify]: iteration 2: 32 enodes
17.802 * * [simplify]: iteration 3: 33 enodes
17.805 * * [simplify]: iteration complete: 33 enodes
17.805 * * [simplify]: Extracting #0: cost 1 inf + 0
17.805 * * [simplify]: Extracting #1: cost 4 inf + 0
17.805 * * [simplify]: Extracting #2: cost 13 inf + 0
17.805 * * [simplify]: Extracting #3: cost 15 inf + 2
17.805 * * [simplify]: Extracting #4: cost 13 inf + 112
17.805 * * [simplify]: Extracting #5: cost 9 inf + 506
17.805 * * [simplify]: Extracting #6: cost 10 inf + 629
17.806 * * [simplify]: Extracting #7: cost 9 inf + 671
17.806 * * [simplify]: Extracting #8: cost 5 inf + 876
17.806 * * [simplify]: Extracting #9: cost 3 inf + 1323
17.807 * * [simplify]: Extracting #10: cost 1 inf + 2102
17.807 * * [simplify]: Extracting #11: cost 0 inf + 2849
17.808 * [simplify]: Simplified to:
  (if (<= x -8.656892189523162e+102) (* (sqrt 0.3333333333333333) (- x)) (if (<= x 4.471707363468376e+118) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3.0)) (/ x (sqrt 3.0))))
20.372 * [regime-testing]: Baseline error score: 37.70551076916863
20.390 * [regime-testing]: Oracle error score: 17.586090010705018
20.426 * [regime-testing]: End program error score: 25.132169177607945
20.553 * [regime-testing]: Target error score: 25.508336666832378