34.435 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.024 * * [simplify]: iteration 0: 11 enodes
0.026 * * [simplify]: iteration 1: 15 enodes
0.038 * * [simplify]: iteration 2: 22 enodes
0.044 * * [simplify]: iteration 3: 25 enodes
0.049 * * [simplify]: iteration complete: 25 enodes
0.049 * * [simplify]: Extracting #0: cost 1 inf + 0
0.049 * * [simplify]: Extracting #1: cost 2 inf + 0
0.049 * * [simplify]: Extracting #2: cost 4 inf + 0
0.049 * * [simplify]: Extracting #3: cost 9 inf + 1
0.049 * * [simplify]: Extracting #4: cost 12 inf + 1
0.050 * * [simplify]: Extracting #5: cost 8 inf + 7
0.050 * * [simplify]: Extracting #6: cost 5 inf + 20
0.050 * * [simplify]: Extracting #7: cost 1 inf + 58
0.050 * * [simplify]: Extracting #8: cost 0 inf + 72
0.050 * [simplify]: Simplified to:
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
0.059 * * [progress]: iteration 1 / 4
0.059 * * * [progress]: picking best candidate
0.066 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))>
0.066 * * * [progress]: localizing error
0.095 * * * [progress]: generating rewritten candidates
0.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
0.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2)
0.253 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.286 * * * [progress]: generating series expansions
0.286 * * * * [progress]: [ 1 / 4 ] generating series at (2)
0.287 * [backup-simplify]: Simplify (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
0.287 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (y x z) around 0
0.287 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.287 * [taylor]: Taking taylor expansion of y in z
0.287 * [backup-simplify]: Simplify y into y
0.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.287 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.287 * [taylor]: Taking taylor expansion of x in z
0.287 * [backup-simplify]: Simplify x into x
0.287 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.287 * [taylor]: Taking taylor expansion of z in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.287 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.287 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.288 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.288 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.288 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.288 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.290 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.290 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.290 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.291 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.291 * [taylor]: Taking taylor expansion of y in x
0.291 * [backup-simplify]: Simplify y into y
0.291 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.291 * [taylor]: Taking taylor expansion of z in x
0.291 * [backup-simplify]: Simplify z into z
0.292 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.292 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.292 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.292 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.292 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.292 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.296 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.296 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.297 * [taylor]: Taking taylor expansion of y in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.297 * [taylor]: Taking taylor expansion of x in y
0.297 * [backup-simplify]: Simplify x into x
0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.297 * [taylor]: Taking taylor expansion of z in y
0.297 * [backup-simplify]: Simplify z into z
0.297 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.297 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.298 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.298 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.298 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.298 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.298 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.300 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.300 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
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 (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.301 * [taylor]: Taking taylor expansion of y in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.301 * [taylor]: Taking taylor expansion of x in y
0.301 * [backup-simplify]: Simplify x into x
0.301 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.301 * [taylor]: Taking taylor expansion of z in y
0.301 * [backup-simplify]: Simplify z into z
0.301 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.301 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.302 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.302 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.302 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.302 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.302 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.304 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.304 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.305 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.306 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333))
0.306 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) in x
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in x
0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.306 * [taylor]: Taking taylor expansion of z in x
0.306 * [backup-simplify]: Simplify z into z
0.306 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.306 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.307 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.307 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.307 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.307 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.308 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.309 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.309 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.309 * [taylor]: Taking taylor expansion of z in z
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.309 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.309 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.309 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.311 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [taylor]: Taking taylor expansion of 0 in z
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in z
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.315 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.317 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
0.321 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)))
0.321 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))) in x
0.321 * [taylor]: Taking taylor expansion of 1/2 in x
0.321 * [backup-simplify]: Simplify 1/2 into 1/2
0.321 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in x
0.321 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in x
0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.321 * [taylor]: Taking taylor expansion of z in x
0.321 * [backup-simplify]: Simplify z into z
0.321 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.322 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.322 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.322 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.322 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.323 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.323 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.323 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.323 * [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 (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.325 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.325 * [taylor]: Taking taylor expansion of 1/2 in z
0.325 * [backup-simplify]: Simplify 1/2 into 1/2
0.325 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.325 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.325 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.326 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.326 * [taylor]: Taking taylor expansion of z in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [taylor]: Taking taylor expansion of 0 in z
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.332 * [backup-simplify]: Simplify (+ 1 0) into 1
0.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.334 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.334 * [taylor]: Taking taylor expansion of 1/2 in z
0.334 * [backup-simplify]: Simplify 1/2 into 1/2
0.334 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.334 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.334 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.334 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.334 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.335 * [taylor]: Taking taylor expansion of z in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.342 * [backup-simplify]: Simplify (sqrt (/ (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z)))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.342 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y x z) around 0
0.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.343 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.343 * [taylor]: Taking taylor expansion of y in z
0.343 * [backup-simplify]: Simplify y into y
0.343 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.343 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.343 * [taylor]: Taking taylor expansion of x in z
0.343 * [backup-simplify]: Simplify x into x
0.343 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.343 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.343 * [taylor]: Taking taylor expansion of z in z
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (* 1 1) into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [backup-simplify]: Simplify (+ 0 1) into 1
0.345 * [backup-simplify]: Simplify (+ 0 1) into 1
0.345 * [backup-simplify]: Simplify (sqrt 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.348 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.348 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.349 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.350 * [taylor]: Taking taylor expansion of y in x
0.350 * [backup-simplify]: Simplify y into y
0.350 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.350 * [taylor]: Taking taylor expansion of x in x
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.351 * [taylor]: Taking taylor expansion of z in x
0.351 * [backup-simplify]: Simplify z into z
0.351 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.352 * [backup-simplify]: Simplify (+ 1 0) into 1
0.352 * [backup-simplify]: Simplify (+ 0 1) into 1
0.353 * [backup-simplify]: Simplify (sqrt 1) into 1
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.356 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.356 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.356 * [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 (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.357 * [taylor]: Taking taylor expansion of y in y
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.358 * [taylor]: Taking taylor expansion of x in y
0.358 * [backup-simplify]: Simplify x into x
0.358 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.358 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.358 * [taylor]: Taking taylor expansion of z in y
0.358 * [backup-simplify]: Simplify z into z
0.359 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.359 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.359 * [backup-simplify]: Simplify (+ 1 0) into 1
0.359 * [backup-simplify]: Simplify (sqrt 1) into 1
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.362 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.362 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.362 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.362 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.363 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.363 * [taylor]: Taking taylor expansion of y in y
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (/ 1 1) into 1
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.364 * [taylor]: Taking taylor expansion of x in y
0.364 * [backup-simplify]: Simplify x into x
0.364 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.365 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.365 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.365 * [taylor]: Taking taylor expansion of z in y
0.365 * [backup-simplify]: Simplify z into z
0.365 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.365 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.365 * [backup-simplify]: Simplify (+ 1 0) into 1
0.366 * [backup-simplify]: Simplify (sqrt 1) into 1
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.369 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.369 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.369 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.371 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.371 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.371 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.371 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.371 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in x
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.373 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.378 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.380 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
0.381 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in x
0.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
0.381 * [taylor]: Taking taylor expansion of 1/2 in x
0.381 * [backup-simplify]: Simplify 1/2 into 1/2
0.381 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
0.381 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.381 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.382 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.383 * [taylor]: Taking taylor expansion of x in x
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in x
0.384 * [taylor]: Taking taylor expansion of 1/2 in x
0.384 * [backup-simplify]: Simplify 1/2 into 1/2
0.384 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in x
0.384 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.385 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.386 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.386 * [taylor]: Taking taylor expansion of z in x
0.386 * [backup-simplify]: Simplify z into z
0.386 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.386 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [taylor]: Taking taylor expansion of 0 in z
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [taylor]: Taking taylor expansion of 0 in z
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [taylor]: Taking taylor expansion of 0 in z
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.394 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in x
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.403 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.404 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.404 * [taylor]: Taking taylor expansion of 1/2 in z
0.404 * [backup-simplify]: Simplify 1/2 into 1/2
0.404 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.404 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.404 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.404 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.404 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.405 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.405 * [taylor]: Taking taylor expansion of z in z
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.411 * [taylor]: Taking taylor expansion of 0 in z
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.416 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
0.423 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in x
0.423 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in x
0.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in x
0.423 * [taylor]: Taking taylor expansion of 1/4 in x
0.423 * [backup-simplify]: Simplify 1/4 into 1/4
0.423 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in x
0.423 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.423 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.423 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.424 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.425 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in x
0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.425 * [taylor]: Taking taylor expansion of x in x
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.425 * [taylor]: Taking taylor expansion of z in x
0.425 * [backup-simplify]: Simplify z into z
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.425 * [backup-simplify]: Simplify (* 1 (pow z 2)) into (pow z 2)
0.426 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.426 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in x
0.426 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in x
0.426 * [taylor]: Taking taylor expansion of 1/8 in x
0.426 * [backup-simplify]: Simplify 1/8 into 1/8
0.426 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in x
0.426 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.426 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.426 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.427 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.428 * [taylor]: Taking taylor expansion of (pow z 4) in x
0.428 * [taylor]: Taking taylor expansion of z in x
0.428 * [backup-simplify]: Simplify z into z
0.428 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.428 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.428 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.429 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in x
0.429 * [taylor]: Taking taylor expansion of 1/8 in x
0.429 * [backup-simplify]: Simplify 1/8 into 1/8
0.429 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in x
0.429 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.429 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
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 x 4) in x
0.430 * [taylor]: Taking taylor expansion of x in x
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 (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.432 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow z 2))) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [taylor]: Taking taylor expansion of 0 in z
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [taylor]: Taking taylor expansion of 0 in z
0.456 * [backup-simplify]: Simplify 0 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
0.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.461 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [taylor]: Taking taylor expansion of 0 in z
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [taylor]: Taking taylor expansion of 0 in z
0.463 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.465 * [taylor]: Taking taylor expansion of 0 in z
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 y))))) into (* y (sqrt 0.3333333333333333))
0.470 * [backup-simplify]: Simplify (sqrt (/ (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.470 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y x z) around 0
0.470 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.470 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.470 * [taylor]: Taking taylor expansion of y in z
0.470 * [backup-simplify]: Simplify y into y
0.471 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.471 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.471 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.471 * [taylor]: Taking taylor expansion of x in z
0.471 * [backup-simplify]: Simplify x into x
0.471 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
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
0.472 * [backup-simplify]: Simplify (* 1 1) into 1
0.472 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [backup-simplify]: Simplify (+ 0 1) into 1
0.473 * [backup-simplify]: Simplify (+ 0 1) into 1
0.473 * [backup-simplify]: Simplify (sqrt 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.476 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.476 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.476 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.477 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.478 * [taylor]: Taking taylor expansion of y in x
0.478 * [backup-simplify]: Simplify y into y
0.478 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (* 1 1) into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.479 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.479 * [taylor]: Taking taylor expansion of z in x
0.479 * [backup-simplify]: Simplify z into z
0.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.479 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.480 * [backup-simplify]: Simplify (+ 1 0) into 1
0.480 * [backup-simplify]: Simplify (+ 0 1) into 1
0.480 * [backup-simplify]: Simplify (sqrt 1) into 1
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.483 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.484 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.485 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.485 * [taylor]: Taking taylor expansion of y in y
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.486 * [taylor]: Taking taylor expansion of x in y
0.486 * [backup-simplify]: Simplify x into x
0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.486 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.486 * [taylor]: Taking taylor expansion of z in y
0.486 * [backup-simplify]: Simplify z into z
0.486 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [backup-simplify]: Simplify (sqrt 1) into 1
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.490 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.490 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.490 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.490 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.491 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.491 * [taylor]: Taking taylor expansion of y in y
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 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.492 * [taylor]: Taking taylor expansion of x in y
0.492 * [backup-simplify]: Simplify x into x
0.492 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.492 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.492 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.492 * [taylor]: Taking taylor expansion of z in y
0.493 * [backup-simplify]: Simplify z into z
0.493 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.493 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.493 * [backup-simplify]: Simplify (+ 1 0) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.497 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.497 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.497 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.499 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.499 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.499 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.499 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.500 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.502 * [taylor]: Taking taylor expansion of 0 in x
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.502 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.502 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.502 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.507 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.508 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
0.510 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in x
0.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
0.510 * [taylor]: Taking taylor expansion of 1/2 in x
0.510 * [backup-simplify]: Simplify 1/2 into 1/2
0.510 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
0.510 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.510 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.510 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.511 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.511 * [taylor]: Taking taylor expansion of x in x
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in x
0.513 * [taylor]: Taking taylor expansion of 1/2 in x
0.513 * [backup-simplify]: Simplify 1/2 into 1/2
0.513 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in x
0.513 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.513 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.513 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.514 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.514 * [taylor]: Taking taylor expansion of z in x
0.514 * [backup-simplify]: Simplify z into z
0.514 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.515 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in z
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [taylor]: Taking taylor expansion of 0 in z
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [taylor]: Taking taylor expansion of 0 in z
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.521 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.523 * [taylor]: Taking taylor expansion of 0 in x
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.526 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.526 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.527 * [taylor]: Taking taylor expansion of 1/2 in z
0.527 * [backup-simplify]: Simplify 1/2 into 1/2
0.527 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.527 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.527 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.527 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.527 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.527 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.527 * [taylor]: Taking taylor expansion of z in z
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (* 1 1) into 1
0.528 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [taylor]: Taking taylor expansion of 0 in z
0.530 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.531 * [taylor]: Taking taylor expansion of 0 in z
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.534 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
0.538 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in x
0.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in x
0.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in x
0.538 * [taylor]: Taking taylor expansion of 1/4 in x
0.538 * [backup-simplify]: Simplify 1/4 into 1/4
0.538 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in x
0.538 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.538 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.538 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.538 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.539 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in x
0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.539 * [taylor]: Taking taylor expansion of x in x
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.539 * [taylor]: Taking taylor expansion of z in x
0.539 * [backup-simplify]: Simplify z into z
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.539 * [backup-simplify]: Simplify (* 1 (pow z 2)) into (pow z 2)
0.539 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.540 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in x
0.540 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in x
0.540 * [taylor]: Taking taylor expansion of 1/8 in x
0.540 * [backup-simplify]: Simplify 1/8 into 1/8
0.540 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in x
0.540 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.540 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.540 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.540 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.540 * [taylor]: Taking taylor expansion of (pow z 4) in x
0.540 * [taylor]: Taking taylor expansion of z in x
0.540 * [backup-simplify]: Simplify z into z
0.540 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.541 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.541 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.541 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in x
0.541 * [taylor]: Taking taylor expansion of 1/8 in x
0.541 * [backup-simplify]: Simplify 1/8 into 1/8
0.541 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in x
0.541 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.541 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.541 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.541 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.542 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.542 * [taylor]: Taking taylor expansion of x in x
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.543 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow z 2))) into 0
0.544 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [taylor]: Taking taylor expansion of 0 in z
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [taylor]: Taking taylor expansion of 0 in z
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.562 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
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
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in z
0.567 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.571 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 (* y (sqrt 0.3333333333333333)))
0.572 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.572 * [backup-simplify]: Simplify (/ (+ (* y y) (+ (* x x) (* z z))) 3.0) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.572 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (y x z) around 0
0.572 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.572 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.572 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.572 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.572 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.572 * [taylor]: Taking taylor expansion of y in z
0.572 * [backup-simplify]: Simplify y into y
0.572 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.572 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.572 * [taylor]: Taking taylor expansion of x in z
0.572 * [backup-simplify]: Simplify x into x
0.573 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.573 * [taylor]: Taking taylor expansion of z in z
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.573 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.573 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.573 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.573 * [taylor]: Taking taylor expansion of y in x
0.573 * [backup-simplify]: Simplify y into y
0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.573 * [taylor]: Taking taylor expansion of z in x
0.573 * [backup-simplify]: Simplify z into z
0.573 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.573 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.573 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.573 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.573 * [taylor]: Taking taylor expansion of y in y
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.573 * [taylor]: Taking taylor expansion of x in y
0.573 * [backup-simplify]: Simplify x into x
0.573 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.573 * [taylor]: Taking taylor expansion of z in y
0.573 * [backup-simplify]: Simplify z into z
0.574 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.574 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.574 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.574 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.574 * [taylor]: Taking taylor expansion of y in y
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.574 * [taylor]: Taking taylor expansion of x in y
0.574 * [backup-simplify]: Simplify x into x
0.574 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.574 * [taylor]: Taking taylor expansion of z in y
0.574 * [backup-simplify]: Simplify z into z
0.574 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.574 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.574 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.575 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.575 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow z 2) (pow x 2))) into (* 0.3333333333333333 (+ (pow x 2) (pow z 2)))
0.575 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (pow z 2))) in x
0.575 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.575 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.575 * [taylor]: Taking taylor expansion of z in x
0.575 * [backup-simplify]: Simplify z into z
0.575 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.576 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.576 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.576 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.576 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.576 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.576 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.576 * [taylor]: Taking taylor expansion of z in z
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.576 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow z 2) (pow x 2)))) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in x
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [taylor]: Taking taylor expansion of 0 in z
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
0.579 * [taylor]: Taking taylor expansion of 0 in z
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (* 1 1) into 1
0.580 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.581 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (+ 1 0) into 1
0.583 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow z 2) (pow x 2))))) into 0.3333333333333333
0.583 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.583 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.583 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.583 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.583 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.583 * [taylor]: Taking taylor expansion of 0 in z
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.584 * [backup-simplify]: Simplify (+ 1 0) into 1
0.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.585 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.585 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.586 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.586 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.587 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* x 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 y)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.588 * [backup-simplify]: Simplify (/ (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z)))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.588 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y x z) around 0
0.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.588 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.588 * [taylor]: Taking taylor expansion of y in z
0.588 * [backup-simplify]: Simplify y into y
0.588 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.589 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.589 * [taylor]: Taking taylor expansion of x in z
0.589 * [backup-simplify]: Simplify x into x
0.589 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.589 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.589 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.589 * [taylor]: Taking taylor expansion of z in z
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.594 * [backup-simplify]: Simplify (* 1 1) into 1
0.595 * [backup-simplify]: Simplify (/ 1 1) into 1
0.595 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.595 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.595 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.595 * [taylor]: Taking taylor expansion of y in x
0.595 * [backup-simplify]: Simplify y into y
0.595 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.595 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.595 * [taylor]: Taking taylor expansion of x in x
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify (/ 1 1) into 1
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.596 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.596 * [taylor]: Taking taylor expansion of z in x
0.596 * [backup-simplify]: Simplify z into z
0.596 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.596 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.596 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.596 * [taylor]: Taking taylor expansion of y in y
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (* 1 1) into 1
0.597 * [backup-simplify]: Simplify (/ 1 1) into 1
0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.597 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.597 * [taylor]: Taking taylor expansion of x in y
0.597 * [backup-simplify]: Simplify x into x
0.597 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.597 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.598 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.598 * [taylor]: Taking taylor expansion of z in y
0.598 * [backup-simplify]: Simplify z into z
0.598 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.598 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.598 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.598 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.598 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.598 * [taylor]: Taking taylor expansion of y in y
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (/ 1 1) into 1
0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.599 * [taylor]: Taking taylor expansion of x in y
0.599 * [backup-simplify]: Simplify x into x
0.599 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.599 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.599 * [taylor]: Taking taylor expansion of z in y
0.599 * [backup-simplify]: Simplify z into z
0.599 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.600 * [backup-simplify]: Simplify (+ 1 0) into 1
0.600 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.600 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.600 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.602 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.602 * [taylor]: Taking taylor expansion of 0 in x
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.605 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.606 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.606 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in x
0.606 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow x 2))) in x
0.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.606 * [taylor]: Taking taylor expansion of x in x
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.606 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (/ 1 1) into 1
0.607 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in x
0.607 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.607 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.607 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.607 * [taylor]: Taking taylor expansion of z in x
0.607 * [backup-simplify]: Simplify z into z
0.607 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.607 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.608 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.608 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.608 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.608 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.608 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.608 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.611 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.614 * [taylor]: Taking taylor expansion of 0 in x
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (+ 0 0) into 0
0.616 * [taylor]: Taking taylor expansion of 0 in z
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [taylor]: Taking taylor expansion of 0 in z
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [taylor]: Taking taylor expansion of 0 in z
0.616 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.619 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.621 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.621 * [taylor]: Taking taylor expansion of 0 in x
0.621 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.623 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.623 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.623 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.623 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.623 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.623 * [taylor]: Taking taylor expansion of z in z
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 1 into 1
0.623 * [backup-simplify]: Simplify (* 1 1) into 1
0.624 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.624 * [taylor]: Taking taylor expansion of 0 in z
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [taylor]: Taking taylor expansion of 0 in z
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.625 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 y)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 x)) 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))))
0.625 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.625 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y x z) around 0
0.625 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.625 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.625 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.625 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.625 * [taylor]: Taking taylor expansion of y in z
0.625 * [backup-simplify]: Simplify y into y
0.626 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.626 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.626 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.626 * [taylor]: Taking taylor expansion of x in z
0.626 * [backup-simplify]: Simplify x into x
0.626 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.626 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.626 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.626 * [taylor]: Taking taylor expansion of z in z
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (* 1 1) into 1
0.626 * [backup-simplify]: Simplify (/ 1 1) into 1
0.626 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.627 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.627 * [taylor]: Taking taylor expansion of y in x
0.627 * [backup-simplify]: Simplify y into y
0.627 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.627 * [taylor]: Taking taylor expansion of x in x
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.627 * [backup-simplify]: Simplify (* 1 1) into 1
0.627 * [backup-simplify]: Simplify (/ 1 1) into 1
0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.627 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.627 * [taylor]: Taking taylor expansion of z in x
0.628 * [backup-simplify]: Simplify z into z
0.628 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.628 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.628 * [taylor]: Taking taylor expansion of y in y
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 1 into 1
0.628 * [backup-simplify]: Simplify (* 1 1) into 1
0.628 * [backup-simplify]: Simplify (/ 1 1) into 1
0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.628 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.628 * [taylor]: Taking taylor expansion of x in y
0.628 * [backup-simplify]: Simplify x into x
0.629 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.629 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.629 * [taylor]: Taking taylor expansion of z in y
0.629 * [backup-simplify]: Simplify z into z
0.629 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.629 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.629 * [taylor]: Taking taylor expansion of y in y
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify 1 into 1
0.629 * [backup-simplify]: Simplify (* 1 1) into 1
0.629 * [backup-simplify]: Simplify (/ 1 1) into 1
0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.630 * [taylor]: Taking taylor expansion of x in y
0.630 * [backup-simplify]: Simplify x into x
0.630 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.630 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.630 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.630 * [taylor]: Taking taylor expansion of z in y
0.630 * [backup-simplify]: Simplify z into z
0.630 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.630 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.630 * [backup-simplify]: Simplify (+ 1 0) into 1
0.630 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.631 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.631 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.632 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.632 * [taylor]: Taking taylor expansion of 0 in x
0.632 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.634 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.634 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.634 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in x
0.634 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow x 2))) in x
0.634 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.634 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.634 * [taylor]: Taking taylor expansion of x in x
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.635 * [backup-simplify]: Simplify (/ 1 1) into 1
0.635 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in x
0.635 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.635 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.635 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.635 * [taylor]: Taking taylor expansion of z in x
0.635 * [backup-simplify]: Simplify z into z
0.635 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.635 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.635 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.636 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.637 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.639 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.639 * [taylor]: Taking taylor expansion of 0 in x
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [taylor]: Taking taylor expansion of 0 in z
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [taylor]: Taking taylor expansion of 0 in z
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [taylor]: Taking taylor expansion of 0 in z
0.640 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.643 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.643 * [backup-simplify]: Simplify (+ 0 0) into 0
0.643 * [backup-simplify]: Simplify (+ 0 0) into 0
0.644 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.645 * [taylor]: Taking taylor expansion of 0 in x
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.646 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.646 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.646 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.646 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.646 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.646 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.647 * [taylor]: Taking taylor expansion of z in z
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [backup-simplify]: Simplify (* 1 1) into 1
0.647 * [backup-simplify]: Simplify (/ 1 1) into 1
0.648 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.648 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.648 * [taylor]: Taking taylor expansion of 0 in z
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [taylor]: Taking taylor expansion of 0 in z
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.648 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.649 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- y))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- x))) 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))))
0.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2)
0.649 * [backup-simplify]: Simplify (+ (* x x) (* z z)) into (+ (pow x 2) (pow z 2))
0.649 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in (x z) around 0
0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.649 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.649 * [taylor]: Taking taylor expansion of x in z
0.649 * [backup-simplify]: Simplify x into x
0.649 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.649 * [taylor]: Taking taylor expansion of z in z
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.650 * [taylor]: Taking taylor expansion of x in x
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.650 * [taylor]: Taking taylor expansion of z in x
0.650 * [backup-simplify]: Simplify z into z
0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.650 * [taylor]: Taking taylor expansion of x in x
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.650 * [taylor]: Taking taylor expansion of z in x
0.650 * [backup-simplify]: Simplify z into z
0.650 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.650 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.650 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.650 * [taylor]: Taking taylor expansion of z in z
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in z
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.652 * [backup-simplify]: Simplify (+ 1 0) into 1
0.652 * [taylor]: Taking taylor expansion of 1 in z
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (* 1 1) into 1
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.654 * [taylor]: Taking taylor expansion of 0 in z
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.655 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.657 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0
0.657 * [backup-simplify]: Simplify (+ 0 0) into 0
0.657 * [taylor]: Taking taylor expansion of 0 in z
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* z 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow z 2))
0.658 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.658 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in (x z) around 0
0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.658 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.658 * [taylor]: Taking taylor expansion of x in z
0.658 * [backup-simplify]: Simplify x into x
0.658 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.658 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.659 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.659 * [taylor]: Taking taylor expansion of z in z
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify (* 1 1) into 1
0.659 * [backup-simplify]: Simplify (/ 1 1) into 1
0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.660 * [taylor]: Taking taylor expansion of x in x
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.660 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (/ 1 1) into 1
0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.660 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.660 * [taylor]: Taking taylor expansion of z in x
0.660 * [backup-simplify]: Simplify z into z
0.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.661 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.661 * [taylor]: Taking taylor expansion of x in x
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (* 1 1) into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.662 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.662 * [taylor]: Taking taylor expansion of z in x
0.662 * [backup-simplify]: Simplify z into z
0.662 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.662 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.662 * [backup-simplify]: Simplify (+ 1 0) into 1
0.662 * [taylor]: Taking taylor expansion of 1 in z
0.662 * [backup-simplify]: Simplify 1 into 1
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [taylor]: Taking taylor expansion of 0 in z
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.666 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.666 * [taylor]: Taking taylor expansion of z in z
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (* 1 1) into 1
0.667 * [backup-simplify]: Simplify (/ 1 1) into 1
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify 1 into 1
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.670 * [backup-simplify]: Simplify (+ 0 0) into 0
0.670 * [taylor]: Taking taylor expansion of 0 in z
0.670 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.676 * [backup-simplify]: Simplify (+ 0 0) into 0
0.676 * [taylor]: Taking taylor expansion of 0 in z
0.676 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (+ (pow x 2) (pow z 2))
0.679 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.679 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in (x z) around 0
0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.679 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.679 * [taylor]: Taking taylor expansion of x in z
0.679 * [backup-simplify]: Simplify x into x
0.679 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.679 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.679 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.679 * [taylor]: Taking taylor expansion of z in z
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify (* 1 1) into 1
0.680 * [backup-simplify]: Simplify (/ 1 1) into 1
0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.680 * [taylor]: Taking taylor expansion of x in x
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify (* 1 1) into 1
0.681 * [backup-simplify]: Simplify (/ 1 1) into 1
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.681 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.681 * [taylor]: Taking taylor expansion of z in x
0.681 * [backup-simplify]: Simplify z into z
0.681 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.681 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.681 * [taylor]: Taking taylor expansion of x in x
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (* 1 1) into 1
0.682 * [backup-simplify]: Simplify (/ 1 1) into 1
0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.682 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.682 * [taylor]: Taking taylor expansion of z in x
0.682 * [backup-simplify]: Simplify z into z
0.682 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.682 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.683 * [backup-simplify]: Simplify (+ 1 0) into 1
0.683 * [taylor]: Taking taylor expansion of 1 in z
0.683 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.685 * [taylor]: Taking taylor expansion of 0 in z
0.685 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.687 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.687 * [taylor]: Taking taylor expansion of z in z
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 1 into 1
0.687 * [backup-simplify]: Simplify (* 1 1) into 1
0.688 * [backup-simplify]: Simplify (/ 1 1) into 1
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.690 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.690 * [backup-simplify]: Simplify (+ 0 0) into 0
0.690 * [taylor]: Taking taylor expansion of 0 in z
0.690 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.695 * [backup-simplify]: Simplify (+ 0 0) into 0
0.695 * [taylor]: Taking taylor expansion of 0 in z
0.695 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (+ (pow x 2) (pow z 2))
0.698 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.698 * [backup-simplify]: Simplify (+ (* y y) (+ (* x x) (* z z))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.698 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (y x z) around 0
0.698 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.698 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.698 * [taylor]: Taking taylor expansion of y in z
0.698 * [backup-simplify]: Simplify y into y
0.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.698 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.698 * [taylor]: Taking taylor expansion of x in z
0.698 * [backup-simplify]: Simplify x into x
0.698 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.698 * [taylor]: Taking taylor expansion of z in z
0.698 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify 1 into 1
0.698 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.698 * [taylor]: Taking taylor expansion of y in x
0.698 * [backup-simplify]: Simplify y into y
0.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.699 * [taylor]: Taking taylor expansion of x in x
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.699 * [taylor]: Taking taylor expansion of z in x
0.699 * [backup-simplify]: Simplify z into z
0.699 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.699 * [taylor]: Taking taylor expansion of y in y
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.699 * [taylor]: Taking taylor expansion of x in y
0.699 * [backup-simplify]: Simplify x into x
0.699 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.699 * [taylor]: Taking taylor expansion of z in y
0.699 * [backup-simplify]: Simplify z into z
0.699 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.699 * [taylor]: Taking taylor expansion of y in y
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.699 * [taylor]: Taking taylor expansion of x in y
0.699 * [backup-simplify]: Simplify x into x
0.699 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.699 * [taylor]: Taking taylor expansion of z in y
0.699 * [backup-simplify]: Simplify z into z
0.699 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.699 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.700 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.700 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.700 * [taylor]: Taking taylor expansion of (+ (pow z 2) (pow x 2)) in x
0.700 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.700 * [taylor]: Taking taylor expansion of z in x
0.700 * [backup-simplify]: Simplify z into z
0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.700 * [taylor]: Taking taylor expansion of x in x
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.700 * [backup-simplify]: Simplify (+ (pow z 2) 0) into (pow z 2)
0.700 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.700 * [taylor]: Taking taylor expansion of z in z
0.701 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify 1 into 1
0.701 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.701 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.701 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [taylor]: Taking taylor expansion of 0 in x
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [taylor]: Taking taylor expansion of 0 in z
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [taylor]: Taking taylor expansion of 0 in z
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (* 1 1) into 1
0.703 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.703 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.704 * [backup-simplify]: Simplify (+ 0 0) into 0
0.704 * [backup-simplify]: Simplify (+ 1 0) into 1
0.704 * [taylor]: Taking taylor expansion of 1 in x
0.704 * [backup-simplify]: Simplify 1 into 1
0.704 * [taylor]: Taking taylor expansion of 1 in z
0.704 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify 1 into 1
0.704 * [taylor]: Taking taylor expansion of 0 in z
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.705 * [backup-simplify]: Simplify (* 1 1) into 1
0.705 * [backup-simplify]: Simplify (+ 0 1) into 1
0.705 * [taylor]: Taking taylor expansion of 1 in z
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify (* 1 1) into 1
0.705 * [backup-simplify]: Simplify 1 into 1
0.706 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 y)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.706 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.706 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y x z) around 0
0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.706 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.706 * [taylor]: Taking taylor expansion of y in z
0.706 * [backup-simplify]: Simplify y into y
0.706 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.706 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.706 * [taylor]: Taking taylor expansion of x in z
0.706 * [backup-simplify]: Simplify x into x
0.706 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.706 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.707 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.707 * [taylor]: Taking taylor expansion of z in z
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify (* 1 1) into 1
0.707 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.707 * [taylor]: Taking taylor expansion of y in x
0.707 * [backup-simplify]: Simplify y into y
0.707 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.707 * [taylor]: Taking taylor expansion of x in x
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 1 into 1
0.708 * [backup-simplify]: Simplify (* 1 1) into 1
0.708 * [backup-simplify]: Simplify (/ 1 1) into 1
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.708 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.708 * [taylor]: Taking taylor expansion of z in x
0.708 * [backup-simplify]: Simplify z into z
0.708 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.708 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.708 * [taylor]: Taking taylor expansion of y in y
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [backup-simplify]: Simplify (* 1 1) into 1
0.709 * [backup-simplify]: Simplify (/ 1 1) into 1
0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.709 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.709 * [taylor]: Taking taylor expansion of x in y
0.709 * [backup-simplify]: Simplify x into x
0.709 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.709 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.709 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.709 * [taylor]: Taking taylor expansion of z in y
0.709 * [backup-simplify]: Simplify z into z
0.709 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.709 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.709 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.709 * [taylor]: Taking taylor expansion of y in y
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify (* 1 1) into 1
0.710 * [backup-simplify]: Simplify (/ 1 1) into 1
0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.710 * [taylor]: Taking taylor expansion of x in y
0.710 * [backup-simplify]: Simplify x into x
0.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.710 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.710 * [taylor]: Taking taylor expansion of z in y
0.710 * [backup-simplify]: Simplify z into z
0.710 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.710 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.710 * [backup-simplify]: Simplify (+ 1 0) into 1
0.710 * [taylor]: Taking taylor expansion of 1 in x
0.710 * [backup-simplify]: Simplify 1 into 1
0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (+ 0 0) into 0
0.712 * [taylor]: Taking taylor expansion of 0 in x
0.712 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.713 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.713 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.713 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.713 * [taylor]: Taking taylor expansion of x in x
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.713 * [backup-simplify]: Simplify (* 1 1) into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.714 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.714 * [taylor]: Taking taylor expansion of z in x
0.714 * [backup-simplify]: Simplify z into z
0.714 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.714 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.714 * [backup-simplify]: Simplify (+ 1 0) into 1
0.714 * [taylor]: Taking taylor expansion of 1 in z
0.714 * [backup-simplify]: Simplify 1 into 1
0.714 * [taylor]: Taking taylor expansion of 1 in z
0.714 * [backup-simplify]: Simplify 1 into 1
0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.716 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.716 * [backup-simplify]: Simplify (+ 0 0) into 0
0.716 * [backup-simplify]: Simplify (+ 0 0) into 0
0.716 * [taylor]: Taking taylor expansion of 0 in x
0.716 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.717 * [taylor]: Taking taylor expansion of 0 in z
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [taylor]: Taking taylor expansion of 0 in z
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [taylor]: Taking taylor expansion of 0 in z
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.723 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.724 * [taylor]: Taking taylor expansion of 0 in x
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.725 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.725 * [taylor]: Taking taylor expansion of z in z
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify (* 1 1) into 1
0.726 * [backup-simplify]: Simplify (/ 1 1) into 1
0.726 * [backup-simplify]: Simplify 1 into 1
0.726 * [taylor]: Taking taylor expansion of 0 in z
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [taylor]: Taking taylor expansion of 0 in z
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify 1 into 1
0.727 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 y)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.727 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.727 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y x z) around 0
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.727 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.727 * [taylor]: Taking taylor expansion of y in z
0.727 * [backup-simplify]: Simplify y into y
0.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.727 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.727 * [taylor]: Taking taylor expansion of x in z
0.727 * [backup-simplify]: Simplify x into x
0.727 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.727 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.727 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.727 * [taylor]: Taking taylor expansion of z in z
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.728 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.728 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.728 * [taylor]: Taking taylor expansion of y in x
0.728 * [backup-simplify]: Simplify y into y
0.728 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.728 * [taylor]: Taking taylor expansion of x in x
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.729 * [backup-simplify]: Simplify (/ 1 1) into 1
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.729 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.729 * [taylor]: Taking taylor expansion of z in x
0.729 * [backup-simplify]: Simplify z into z
0.729 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.729 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.729 * [taylor]: Taking taylor expansion of y in y
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.730 * [backup-simplify]: Simplify (/ 1 1) into 1
0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.730 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.730 * [taylor]: Taking taylor expansion of x in y
0.730 * [backup-simplify]: Simplify x into x
0.730 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.730 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.730 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.730 * [taylor]: Taking taylor expansion of z in y
0.730 * [backup-simplify]: Simplify z into z
0.730 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.730 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.730 * [taylor]: Taking taylor expansion of y in y
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.730 * [backup-simplify]: Simplify (* 1 1) into 1
0.731 * [backup-simplify]: Simplify (/ 1 1) into 1
0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.731 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.731 * [taylor]: Taking taylor expansion of x in y
0.731 * [backup-simplify]: Simplify x into x
0.731 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.731 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.731 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.731 * [taylor]: Taking taylor expansion of z in y
0.731 * [backup-simplify]: Simplify z into z
0.731 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.731 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.731 * [backup-simplify]: Simplify (+ 1 0) into 1
0.731 * [taylor]: Taking taylor expansion of 1 in x
0.731 * [backup-simplify]: Simplify 1 into 1
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ 0 0) into 0
0.732 * [taylor]: Taking taylor expansion of 0 in x
0.732 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.734 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.734 * [taylor]: Taking taylor expansion of x in x
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (* 1 1) into 1
0.734 * [backup-simplify]: Simplify (/ 1 1) into 1
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.735 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.735 * [taylor]: Taking taylor expansion of z in x
0.735 * [backup-simplify]: Simplify z into z
0.735 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.735 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.735 * [backup-simplify]: Simplify (+ 1 0) into 1
0.735 * [taylor]: Taking taylor expansion of 1 in z
0.735 * [backup-simplify]: Simplify 1 into 1
0.735 * [taylor]: Taking taylor expansion of 1 in z
0.735 * [backup-simplify]: Simplify 1 into 1
0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.738 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.738 * [backup-simplify]: Simplify (+ 0 0) into 0
0.739 * [backup-simplify]: Simplify (+ 0 0) into 0
0.739 * [taylor]: Taking taylor expansion of 0 in x
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.740 * [backup-simplify]: Simplify (+ 0 0) into 0
0.740 * [taylor]: Taking taylor expansion of 0 in z
0.740 * [backup-simplify]: Simplify 0 into 0
0.741 * [taylor]: Taking taylor expansion of 0 in z
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [taylor]: Taking taylor expansion of 0 in z
0.741 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.744 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.745 * [backup-simplify]: Simplify (+ 0 0) into 0
0.745 * [backup-simplify]: Simplify (+ 0 0) into 0
0.745 * [taylor]: Taking taylor expansion of 0 in x
0.745 * [backup-simplify]: Simplify 0 into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.747 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.747 * [taylor]: Taking taylor expansion of z in z
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify (* 1 1) into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [backup-simplify]: Simplify 1 into 1
0.748 * [taylor]: Taking taylor expansion of 0 in z
0.748 * [backup-simplify]: Simplify 0 into 0
0.748 * [taylor]: Taking taylor expansion of 0 in z
0.748 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify 1 into 1
0.750 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- y))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.750 * * * [progress]: simplifying candidates
0.752 * [simplify]: Simplifying:
  (log (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (exp (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (* (cbrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))) (cbrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))))
  (cbrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (* (* (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)) (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))) (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (sqrt (* (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)) (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))))
  (sqrt (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (sqrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (sqrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (sqrt (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) 1))
  (sqrt (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 1))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) (sqrt 3.0)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (sqrt 1)
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (/ 1 3.0))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (sqrt (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (- (log (+ (* y y) (+ (* x x) (* z z)))) (log 3.0))
  (log (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (exp (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (/ (* (* (+ (* y y) (+ (* x x) (* z z))) (+ (* y y) (+ (* x x) (* z z)))) (+ (* y y) (+ (* x x) (* z z)))) (* (* 3.0 3.0) 3.0))
  (* (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)) (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)))
  (cbrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (* (* (/ (+ (* y y) (+ (* x x) (* z z))) 3.0) (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)) (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
  (- (+ (* y y) (+ (* x x) (* z z))))
  (- 3.0)
  (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0))
  (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))) 1)
  (/ (cbrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt 3.0))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 1)
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (* y y) (+ (* x x) (* z z))) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (* y y) (+ (* x x) (* z z))) (sqrt 3.0))
  (/ 1 1)
  (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (* y y) (+ (* x x) (* z z))))
  (/ (+ (* y y) (+ (* x x) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (* y y) (+ (* x x) (* z z))) (sqrt 3.0))
  (/ (+ (* y y) (+ (* x x) (* z z))) 1)
  (/ 3.0 (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (/ 3.0 (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (/ 3.0 (+ (* y y) (+ (* x x) (* z z))))
  (* 3.0 (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (* (* y y) (+ (* x x) (* z z))))))
  (* 3.0 (- (* y y) (+ (* x x) (* z z))))
  (* (exp (* x x)) (exp (* z z)))
  (log (+ (* x x) (* z z)))
  (exp (+ (* x x) (* z z)))
  (* (cbrt (+ (* x x) (* z z))) (cbrt (+ (* x x) (* z z))))
  (cbrt (+ (* x x) (* z z)))
  (* (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (+ (* x x) (* z z)))
  (sqrt (+ (* x x) (* z z)))
  (sqrt (+ (* x x) (* z z)))
  (+ (pow (* x x) 3) (pow (* z z) 3))
  (+ (* (* x x) (* x x)) (- (* (* z z) (* z z)) (* (* x x) (* z z))))
  (- (* (* x x) (* x x)) (* (* z z) (* z z)))
  (- (* x x) (* z z))
  (* (exp (* y y)) (* (exp (* x x)) (exp (* z z))))
  (* (exp (* y y)) (exp (+ (* x x) (* z z))))
  (log (+ (* y y) (+ (* x x) (* z z))))
  (exp (+ (* y y) (+ (* x x) (* z z))))
  (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (cbrt (+ (* y y) (+ (* x x) (* z z))))
  (* (* (+ (* y y) (+ (* x x) (* z z))) (+ (* y y) (+ (* x x) (* z z)))) (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (+ (pow (* y y) 3) (pow (+ (* x x) (* z z)) 3))
  (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (* (* y y) (+ (* x x) (* z z)))))
  (- (* (* y y) (* y y)) (* (+ (* x x) (* z z)) (+ (* x x) (* z z))))
  (- (* y y) (+ (* x x) (* z z)))
  (+ (* y y) (* x x))
  (* z (sqrt 0.3333333333333333))
  (* y (sqrt 0.3333333333333333))
  (* -1 (* y (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))))
  (+ (pow x 2) (pow z 2))
  (+ (pow x 2) (pow z 2))
  (+ (pow x 2) (pow z 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.756 * * [simplify]: iteration 0: 138 enodes
0.792 * * [simplify]: iteration 1: 373 enodes
0.979 * * [simplify]: iteration 2: 2059 enodes
1.637 * * [simplify]: iteration complete: 5001 enodes
1.637 * * [simplify]: Extracting #0: cost 83 inf + 0
1.639 * * [simplify]: Extracting #1: cost 463 inf + 2
1.646 * * [simplify]: Extracting #2: cost 1776 inf + 66
1.658 * * [simplify]: Extracting #3: cost 1808 inf + 1856
1.672 * * [simplify]: Extracting #4: cost 889 inf + 7260
1.695 * * [simplify]: Extracting #5: cost 166 inf + 17349
1.709 * * [simplify]: Extracting #6: cost 7 inf + 19706
1.722 * * [simplify]: Extracting #7: cost 0 inf + 19736
1.730 * [simplify]: Simplified to:
  (log (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (exp (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))) (cbrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (pow (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)) 3)
  (fabs (cbrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (sqrt (cbrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (fabs (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (/ (sqrt 3.0) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))))
  (sqrt (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0)))
  (fabs (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) (sqrt 3.0)))
  1
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  1
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (log (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (log (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (exp (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (pow (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0) 3)
  (* (cbrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)) (cbrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)))
  (cbrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (pow (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0) 3)
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (sqrt (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0))
  (- (+ (+ (pow y 2) (* z z)) (* x x)))
  (- 3.0)
  (* (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0))
  (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (/ (sqrt 3.0) (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0))
  (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (/ (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)
  (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0))
  (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0))
  (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (pow y 2) (* z z)) (* x x)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (pow y 2) (* z z)) (* x x)) (sqrt 3.0))
  1
  (/ (+ (+ (pow y 2) (* z z)) (* x x)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (pow y 2) (* z z)) (* x x)))
  (/ (+ (+ (pow y 2) (* z z)) (* x x)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (pow y 2) (* z z)) (* x x)) (sqrt 3.0))
  (+ (+ (pow y 2) (* z z)) (* x x))
  (/ 3.0 (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (/ 3.0 (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (/ 3.0 (+ (+ (pow y 2) (* z z)) (* x x)))
  (* (+ (* (+ (* z z) (* x x)) (+ (* x x) (- (* z z) (pow y 2)))) (pow y 4)) 3.0)
  (* 3.0 (- (- (pow y 2) (* x x)) (* z z)))
  (exp (+ (* z z) (* x x)))
  (log (+ (* z z) (* x x)))
  (exp (+ (* z z) (* x x)))
  (* (cbrt (+ (* z z) (* x x))) (cbrt (+ (* z z) (* x x))))
  (cbrt (+ (* z z) (* x x)))
  (pow (+ (* z z) (* x x)) 3)
  (sqrt (+ (* z z) (* x x)))
  (sqrt (+ (* z z) (* x x)))
  (+ (pow z 6) (pow x 6))
  (+ (pow x 4) (* (- (* z z) (* x x)) (* z z)))
  (- (pow x 4) (pow z 4))
  (* (+ x z) (- x z))
  (exp (+ (+ (* z z) (* x x)) (pow y 2)))
  (exp (+ (+ (* z z) (* x x)) (pow y 2)))
  (log (+ (+ (pow y 2) (* z z)) (* x x)))
  (exp (+ (+ (* z z) (* x x)) (pow y 2)))
  (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (pow (+ (+ (pow y 2) (* z z)) (* x x)) 3)
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (+ (pow (+ (* z z) (* x x)) 3) (pow y 6))
  (+ (* (+ (* z z) (* x x)) (+ (* x x) (- (* z z) (pow y 2)))) (pow y 4))
  (- (pow y 4) (* (+ (* z z) (* x x)) (+ (* z z) (* x x))))
  (- (- (pow y 2) (* x x)) (* z z))
  (+ (pow y 2) (* x x))
  (* z (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) y)
  (* (- y) (sqrt 0.3333333333333333))
  (* 0.3333333333333333 (+ (+ (pow y 2) (* z z)) (* x x)))
  (* 0.3333333333333333 (+ (+ (pow y 2) (* z z)) (* x x)))
  (* 0.3333333333333333 (+ (+ (pow y 2) (* z z)) (* x x)))
  (+ (* z z) (* x x))
  (+ (* z z) (* x x))
  (+ (* z z) (* x x))
  (+ (+ (pow y 2) (* z z)) (* x x))
  (+ (+ (pow y 2) (* z z)) (* x x))
  (+ (+ (pow y 2) (* z z)) (* x x))
1.731 * * * [progress]: adding candidates to table
2.330 * * [progress]: iteration 2 / 4
2.330 * * * [progress]: picking best candidate
2.366 * * * * [pick]: Picked  #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))>
2.366 * * * [progress]: localizing error
2.388 * * * [progress]: generating rewritten candidates
2.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
2.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
2.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
2.502 * * * [progress]: generating series expansions
2.502 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
2.502 * [backup-simplify]: Simplify (sqrt (+ (* y y) (+ (* x x) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
2.503 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (y x z) around 0
2.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
2.503 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.503 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.503 * [taylor]: Taking taylor expansion of y in z
2.503 * [backup-simplify]: Simplify y into y
2.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.503 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.503 * [taylor]: Taking taylor expansion of x in z
2.503 * [backup-simplify]: Simplify x into x
2.503 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.503 * [taylor]: Taking taylor expansion of z in z
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.503 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.503 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.503 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
2.503 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.503 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.504 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.505 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.505 * [taylor]: Taking taylor expansion of y in x
2.505 * [backup-simplify]: Simplify y into y
2.505 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.505 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.505 * [taylor]: Taking taylor expansion of x in x
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.505 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.505 * [taylor]: Taking taylor expansion of z in x
2.505 * [backup-simplify]: Simplify z into z
2.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.505 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.505 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.505 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.505 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.505 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.506 * [taylor]: Taking taylor expansion of y in y
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.506 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.506 * [taylor]: Taking taylor expansion of x in y
2.506 * [backup-simplify]: Simplify x into x
2.506 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.506 * [taylor]: Taking taylor expansion of z in y
2.506 * [backup-simplify]: Simplify z into z
2.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.506 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.506 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.507 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.507 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.507 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.507 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.508 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.508 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.508 * [taylor]: Taking taylor expansion of y in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.508 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.508 * [taylor]: Taking taylor expansion of x in y
2.508 * [backup-simplify]: Simplify x into x
2.508 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.508 * [taylor]: Taking taylor expansion of z in y
2.508 * [backup-simplify]: Simplify z into z
2.508 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.508 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.508 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.508 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.509 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.509 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.509 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.509 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in x
2.509 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.510 * [taylor]: Taking taylor expansion of x in x
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.510 * [taylor]: Taking taylor expansion of z in x
2.510 * [backup-simplify]: Simplify z into z
2.510 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.510 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.510 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.510 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.510 * [taylor]: Taking taylor expansion of z in z
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [taylor]: Taking taylor expansion of 0 in x
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [taylor]: Taking taylor expansion of 0 in z
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [taylor]: Taking taylor expansion of 0 in z
2.510 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (* 1 1) into 1
2.511 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.511 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.512 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (+ 1 0) into 1
2.513 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
2.513 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in x
2.513 * [taylor]: Taking taylor expansion of 1/2 in x
2.513 * [backup-simplify]: Simplify 1/2 into 1/2
2.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in x
2.513 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in x
2.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.513 * [taylor]: Taking taylor expansion of x in x
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.513 * [taylor]: Taking taylor expansion of z in x
2.513 * [backup-simplify]: Simplify z into z
2.513 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.513 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.513 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.513 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.513 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.514 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.514 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.514 * [taylor]: Taking taylor expansion of 1/2 in z
2.514 * [backup-simplify]: Simplify 1/2 into 1/2
2.514 * [taylor]: Taking taylor expansion of z in z
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [taylor]: Taking taylor expansion of 0 in z
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.516 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.516 * [backup-simplify]: Simplify (+ 1 0) into 1
2.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.517 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.517 * [taylor]: Taking taylor expansion of 1/2 in z
2.517 * [backup-simplify]: Simplify 1/2 into 1/2
2.517 * [taylor]: Taking taylor expansion of z in z
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.518 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
2.518 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y x z) around 0
2.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.518 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.518 * [taylor]: Taking taylor expansion of y in z
2.518 * [backup-simplify]: Simplify y into y
2.518 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.519 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.519 * [taylor]: Taking taylor expansion of x in z
2.519 * [backup-simplify]: Simplify x into x
2.519 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.519 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.519 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.519 * [taylor]: Taking taylor expansion of z in z
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (* 1 1) into 1
2.519 * [backup-simplify]: Simplify (/ 1 1) into 1
2.520 * [backup-simplify]: Simplify (+ 0 1) into 1
2.520 * [backup-simplify]: Simplify (+ 0 1) into 1
2.520 * [backup-simplify]: Simplify (sqrt 1) into 1
2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.522 * [taylor]: Taking taylor expansion of y in x
2.522 * [backup-simplify]: Simplify y into y
2.522 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.522 * [taylor]: Taking taylor expansion of x in x
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* 1 1) into 1
2.523 * [backup-simplify]: Simplify (/ 1 1) into 1
2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.523 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.523 * [taylor]: Taking taylor expansion of z in x
2.523 * [backup-simplify]: Simplify z into z
2.523 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.523 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.523 * [backup-simplify]: Simplify (+ 1 0) into 1
2.524 * [backup-simplify]: Simplify (+ 0 1) into 1
2.524 * [backup-simplify]: Simplify (sqrt 1) into 1
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (+ 0 0) into 0
2.525 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.526 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.526 * [taylor]: Taking taylor expansion of y in y
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify (* 1 1) into 1
2.526 * [backup-simplify]: Simplify (/ 1 1) into 1
2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.526 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.526 * [taylor]: Taking taylor expansion of x in y
2.526 * [backup-simplify]: Simplify x into x
2.526 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.526 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.526 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.526 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.526 * [taylor]: Taking taylor expansion of z in y
2.527 * [backup-simplify]: Simplify z into z
2.527 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.527 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.527 * [backup-simplify]: Simplify (+ 1 0) into 1
2.527 * [backup-simplify]: Simplify (sqrt 1) into 1
2.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify (+ 0 0) into 0
2.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.529 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.529 * [taylor]: Taking taylor expansion of y in y
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 1 into 1
2.529 * [backup-simplify]: Simplify (* 1 1) into 1
2.529 * [backup-simplify]: Simplify (/ 1 1) into 1
2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.529 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.529 * [taylor]: Taking taylor expansion of x in y
2.529 * [backup-simplify]: Simplify x into x
2.529 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.530 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.530 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.530 * [taylor]: Taking taylor expansion of z in y
2.530 * [backup-simplify]: Simplify z into z
2.530 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.530 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.530 * [backup-simplify]: Simplify (+ 1 0) into 1
2.530 * [backup-simplify]: Simplify (sqrt 1) into 1
2.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.532 * [taylor]: Taking taylor expansion of 1 in x
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [taylor]: Taking taylor expansion of 0 in x
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [taylor]: Taking taylor expansion of 1 in z
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.533 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.534 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.534 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.534 * [taylor]: Taking taylor expansion of 1/2 in x
2.534 * [backup-simplify]: Simplify 1/2 into 1/2
2.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.534 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.534 * [taylor]: Taking taylor expansion of x in x
2.534 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify 1 into 1
2.535 * [backup-simplify]: Simplify (* 1 1) into 1
2.535 * [backup-simplify]: Simplify (/ 1 1) into 1
2.535 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.535 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.535 * [taylor]: Taking taylor expansion of z in x
2.535 * [backup-simplify]: Simplify z into z
2.535 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.535 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (+ 1 0) into 1
2.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.539 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.540 * [taylor]: Taking taylor expansion of 0 in x
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.542 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.542 * [taylor]: Taking taylor expansion of 1/2 in z
2.542 * [backup-simplify]: Simplify 1/2 into 1/2
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.542 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.542 * [taylor]: Taking taylor expansion of z in z
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1 1) into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [taylor]: Taking taylor expansion of 0 in z
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [taylor]: Taking taylor expansion of 0 in z
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.546 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
2.546 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
2.548 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in x
2.548 * [taylor]: Taking taylor expansion of -1/2 in x
2.548 * [backup-simplify]: Simplify -1/2 into -1/2
2.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in x
2.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in x
2.548 * [taylor]: Taking taylor expansion of 1/2 in x
2.548 * [backup-simplify]: Simplify 1/2 into 1/2
2.548 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in x
2.548 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in x
2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.548 * [taylor]: Taking taylor expansion of x in x
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.548 * [taylor]: Taking taylor expansion of z in x
2.548 * [backup-simplify]: Simplify z into z
2.549 * [backup-simplify]: Simplify (* 1 1) into 1
2.549 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.549 * [backup-simplify]: Simplify (* 1 (pow z 2)) into (pow z 2)
2.549 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.549 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in x
2.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.549 * [taylor]: Taking taylor expansion of 1/4 in x
2.549 * [backup-simplify]: Simplify 1/4 into 1/4
2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.549 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.549 * [taylor]: Taking taylor expansion of x in x
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (* 1 1) into 1
2.550 * [backup-simplify]: Simplify (* 1 1) into 1
2.550 * [backup-simplify]: Simplify (/ 1 1) into 1
2.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in x
2.550 * [taylor]: Taking taylor expansion of 1/4 in x
2.550 * [backup-simplify]: Simplify 1/4 into 1/4
2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in x
2.550 * [taylor]: Taking taylor expansion of (pow z 4) in x
2.550 * [taylor]: Taking taylor expansion of z in x
2.550 * [backup-simplify]: Simplify z into z
2.550 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.550 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.550 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.550 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow z 2))) into 0
2.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.561 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.562 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.563 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.563 * [backup-simplify]: Simplify (+ 0 0) into 0
2.564 * [backup-simplify]: Simplify (+ 0 0) into 0
2.564 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.564 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.564 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.565 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.565 * [taylor]: Taking taylor expansion of 0 in z
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [taylor]: Taking taylor expansion of 0 in z
2.565 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.567 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.567 * [backup-simplify]: Simplify (+ 0 0) into 0
2.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.568 * [taylor]: Taking taylor expansion of 0 in z
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [taylor]: Taking taylor expansion of 0 in z
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [taylor]: Taking taylor expansion of 0 in z
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
2.570 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
2.570 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y x z) around 0
2.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.570 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.570 * [taylor]: Taking taylor expansion of y in z
2.570 * [backup-simplify]: Simplify y into y
2.570 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.570 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.570 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.570 * [taylor]: Taking taylor expansion of x in z
2.570 * [backup-simplify]: Simplify x into x
2.570 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.570 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.571 * [taylor]: Taking taylor expansion of z in z
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.571 * [backup-simplify]: Simplify (* 1 1) into 1
2.571 * [backup-simplify]: Simplify (/ 1 1) into 1
2.571 * [backup-simplify]: Simplify (+ 0 1) into 1
2.572 * [backup-simplify]: Simplify (+ 0 1) into 1
2.572 * [backup-simplify]: Simplify (sqrt 1) into 1
2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (+ 0 0) into 0
2.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.574 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.574 * [taylor]: Taking taylor expansion of y in x
2.574 * [backup-simplify]: Simplify y into y
2.574 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.574 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.574 * [taylor]: Taking taylor expansion of x in x
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.574 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.574 * [taylor]: Taking taylor expansion of z in x
2.575 * [backup-simplify]: Simplify z into z
2.575 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.575 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.575 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (+ 0 1) into 1
2.575 * [backup-simplify]: Simplify (sqrt 1) into 1
2.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.577 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.577 * [taylor]: Taking taylor expansion of y in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (* 1 1) into 1
2.578 * [backup-simplify]: Simplify (/ 1 1) into 1
2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.578 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.578 * [taylor]: Taking taylor expansion of x in y
2.578 * [backup-simplify]: Simplify x into x
2.578 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.578 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.578 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.578 * [taylor]: Taking taylor expansion of z in y
2.578 * [backup-simplify]: Simplify z into z
2.578 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.578 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.578 * [backup-simplify]: Simplify (+ 1 0) into 1
2.579 * [backup-simplify]: Simplify (sqrt 1) into 1
2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.580 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.580 * [taylor]: Taking taylor expansion of y in y
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [backup-simplify]: Simplify (* 1 1) into 1
2.581 * [backup-simplify]: Simplify (/ 1 1) into 1
2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.581 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.581 * [taylor]: Taking taylor expansion of x in y
2.581 * [backup-simplify]: Simplify x into x
2.581 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.581 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.581 * [taylor]: Taking taylor expansion of z in y
2.581 * [backup-simplify]: Simplify z into z
2.581 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.581 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.581 * [backup-simplify]: Simplify (+ 1 0) into 1
2.582 * [backup-simplify]: Simplify (sqrt 1) into 1
2.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (+ 0 0) into 0
2.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.583 * [taylor]: Taking taylor expansion of 1 in x
2.583 * [backup-simplify]: Simplify 1 into 1
2.583 * [taylor]: Taking taylor expansion of 0 in x
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [taylor]: Taking taylor expansion of 1 in z
2.583 * [backup-simplify]: Simplify 1 into 1
2.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.585 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.586 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.586 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.586 * [taylor]: Taking taylor expansion of 1/2 in x
2.586 * [backup-simplify]: Simplify 1/2 into 1/2
2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.586 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.586 * [taylor]: Taking taylor expansion of x in x
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 1 into 1
2.586 * [backup-simplify]: Simplify (* 1 1) into 1
2.586 * [backup-simplify]: Simplify (/ 1 1) into 1
2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.586 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.586 * [taylor]: Taking taylor expansion of z in x
2.586 * [backup-simplify]: Simplify z into z
2.586 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.587 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.588 * [backup-simplify]: Simplify (+ 1 0) into 1
2.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.588 * [taylor]: Taking taylor expansion of 0 in z
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [taylor]: Taking taylor expansion of 0 in z
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [taylor]: Taking taylor expansion of 0 in z
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 1 into 1
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.590 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.590 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.591 * [taylor]: Taking taylor expansion of 0 in x
2.591 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.594 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.594 * [taylor]: Taking taylor expansion of 1/2 in z
2.594 * [backup-simplify]: Simplify 1/2 into 1/2
2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.594 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.594 * [taylor]: Taking taylor expansion of z in z
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (* 1 1) into 1
2.595 * [backup-simplify]: Simplify (/ 1 1) into 1
2.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [taylor]: Taking taylor expansion of 0 in z
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [taylor]: Taking taylor expansion of 0 in z
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.599 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
2.600 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.601 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
2.603 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in x
2.603 * [taylor]: Taking taylor expansion of -1/2 in x
2.603 * [backup-simplify]: Simplify -1/2 into -1/2
2.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in x
2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in x
2.603 * [taylor]: Taking taylor expansion of 1/2 in x
2.603 * [backup-simplify]: Simplify 1/2 into 1/2
2.603 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in x
2.603 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in x
2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.603 * [taylor]: Taking taylor expansion of x in x
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.603 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.603 * [taylor]: Taking taylor expansion of z in x
2.603 * [backup-simplify]: Simplify z into z
2.604 * [backup-simplify]: Simplify (* 1 1) into 1
2.604 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.604 * [backup-simplify]: Simplify (* 1 (pow z 2)) into (pow z 2)
2.604 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.604 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in x
2.604 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.604 * [taylor]: Taking taylor expansion of 1/4 in x
2.604 * [backup-simplify]: Simplify 1/4 into 1/4
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.604 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.604 * [taylor]: Taking taylor expansion of x in x
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.606 * [backup-simplify]: Simplify (/ 1 1) into 1
2.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in x
2.606 * [taylor]: Taking taylor expansion of 1/4 in x
2.606 * [backup-simplify]: Simplify 1/4 into 1/4
2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in x
2.606 * [taylor]: Taking taylor expansion of (pow z 4) in x
2.606 * [taylor]: Taking taylor expansion of z in x
2.606 * [backup-simplify]: Simplify z into z
2.606 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.606 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.606 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.607 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow z 2))) into 0
2.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.617 * [backup-simplify]: Simplify (+ 0 0) into 0
2.617 * [backup-simplify]: Simplify (+ 0 0) into 0
2.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.618 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.619 * [backup-simplify]: Simplify (+ 0 0) into 0
2.619 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.621 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.621 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.622 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.623 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.623 * [taylor]: Taking taylor expansion of 0 in z
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * [taylor]: Taking taylor expansion of 0 in z
2.623 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.625 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.627 * [taylor]: Taking taylor expansion of 0 in z
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [taylor]: Taking taylor expansion of 0 in z
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [taylor]: Taking taylor expansion of 0 in z
2.627 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
2.629 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.630 * [backup-simplify]: Simplify (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0)))
2.630 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (y x z) around 0
2.630 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z
2.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
2.630 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.630 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.630 * [taylor]: Taking taylor expansion of y in z
2.630 * [backup-simplify]: Simplify y into y
2.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.630 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.630 * [taylor]: Taking taylor expansion of x in z
2.630 * [backup-simplify]: Simplify x into x
2.631 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.631 * [taylor]: Taking taylor expansion of z in z
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.631 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.631 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.631 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
2.631 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.631 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.631 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.632 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
2.633 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.633 * [taylor]: Taking taylor expansion of 3.0 in z
2.633 * [backup-simplify]: Simplify 3.0 into 3.0
2.633 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.634 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.634 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
2.634 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.634 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.634 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.634 * [taylor]: Taking taylor expansion of y in x
2.634 * [backup-simplify]: Simplify y into y
2.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.635 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.635 * [taylor]: Taking taylor expansion of x in x
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 1 into 1
2.635 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.635 * [taylor]: Taking taylor expansion of z in x
2.635 * [backup-simplify]: Simplify z into z
2.635 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.635 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.635 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.635 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.635 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.636 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.636 * [backup-simplify]: Simplify (+ 0 0) into 0
2.636 * [backup-simplify]: Simplify (+ 0 0) into 0
2.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.637 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.637 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.637 * [taylor]: Taking taylor expansion of 3.0 in x
2.637 * [backup-simplify]: Simplify 3.0 into 3.0
2.637 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.638 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.638 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
2.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.639 * [taylor]: Taking taylor expansion of y in y
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 1 into 1
2.639 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.639 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.639 * [taylor]: Taking taylor expansion of x in y
2.639 * [backup-simplify]: Simplify x into x
2.639 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.639 * [taylor]: Taking taylor expansion of z in y
2.639 * [backup-simplify]: Simplify z into z
2.639 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.639 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.639 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.639 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.640 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.640 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.640 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.641 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.641 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.641 * [taylor]: Taking taylor expansion of 3.0 in y
2.641 * [backup-simplify]: Simplify 3.0 into 3.0
2.641 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.643 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.643 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.643 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.643 * [taylor]: Taking taylor expansion of y in y
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 1 into 1
2.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.643 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.643 * [taylor]: Taking taylor expansion of x in y
2.643 * [backup-simplify]: Simplify x into x
2.643 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.643 * [taylor]: Taking taylor expansion of z in y
2.643 * [backup-simplify]: Simplify z into z
2.643 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.643 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.643 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.644 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.644 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.644 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.644 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.645 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.645 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.645 * [taylor]: Taking taylor expansion of 3.0 in y
2.645 * [backup-simplify]: Simplify 3.0 into 3.0
2.646 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.647 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.648 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow z 2))) (/ 1 (sqrt 3.0))) into (* (sqrt (+ (pow x 2) (pow z 2))) (/ 1 (sqrt 3.0)))
2.648 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow z 2))) (/ 1 (sqrt 3.0))) in x
2.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in x
2.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.648 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.648 * [taylor]: Taking taylor expansion of x in x
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.648 * [taylor]: Taking taylor expansion of z in x
2.648 * [backup-simplify]: Simplify z into z
2.648 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.648 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.649 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.649 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.649 * [backup-simplify]: Simplify (+ 0 0) into 0
2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.649 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.649 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.649 * [taylor]: Taking taylor expansion of 3.0 in x
2.649 * [backup-simplify]: Simplify 3.0 into 3.0
2.650 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.651 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.652 * [backup-simplify]: Simplify (* z (/ 1 (sqrt 3.0))) into (/ z (sqrt 3.0))
2.652 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z
2.652 * [taylor]: Taking taylor expansion of z in z
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 1 into 1
2.652 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.652 * [taylor]: Taking taylor expansion of 3.0 in z
2.652 * [backup-simplify]: Simplify 3.0 into 3.0
2.652 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.654 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.656 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.656 * [taylor]: Taking taylor expansion of 0 in x
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [taylor]: Taking taylor expansion of 0 in z
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 0 into 0
2.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.658 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.658 * [taylor]: Taking taylor expansion of 0 in z
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.661 * [backup-simplify]: Simplify (* 1 1) into 1
2.662 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.662 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.663 * [backup-simplify]: Simplify (+ 0 0) into 0
2.663 * [backup-simplify]: Simplify (+ 1 0) into 1
2.664 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
2.666 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (/ 1 (sqrt 3.0))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))))
2.666 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in x
2.666 * [taylor]: Taking taylor expansion of 1/2 in x
2.666 * [backup-simplify]: Simplify 1/2 into 1/2
2.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
2.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in x
2.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in x
2.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.666 * [taylor]: Taking taylor expansion of x in x
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 1 into 1
2.666 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.666 * [taylor]: Taking taylor expansion of z in x
2.666 * [backup-simplify]: Simplify z into z
2.666 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.667 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.667 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.667 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.667 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.668 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.668 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.668 * [taylor]: Taking taylor expansion of 3.0 in x
2.668 * [backup-simplify]: Simplify 3.0 into 3.0
2.668 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.670 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.670 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 (sqrt 3.0))) into (/ 1 (* z (sqrt 3.0)))
2.671 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* z (sqrt 3.0)))) into (/ 1/2 (* z (sqrt 3.0)))
2.671 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z
2.671 * [taylor]: Taking taylor expansion of 1/2 in z
2.671 * [backup-simplify]: Simplify 1/2 into 1/2
2.671 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
2.671 * [taylor]: Taking taylor expansion of z in z
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.671 * [taylor]: Taking taylor expansion of 3.0 in z
2.671 * [backup-simplify]: Simplify 3.0 into 3.0
2.671 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.673 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
2.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
2.675 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3.0)) into (/ 1/2 (sqrt 3.0))
2.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
2.678 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1/2 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [taylor]: Taking taylor expansion of 0 in z
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.685 * [backup-simplify]: Simplify (* 1 1) into 1
2.686 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.687 * [backup-simplify]: Simplify (+ 1 0) into 1
2.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.689 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (/ 1 (sqrt 3.0))))) into (* 1/2 (/ 1 (* z (sqrt 3.0))))
2.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z
2.689 * [taylor]: Taking taylor expansion of 1/2 in z
2.689 * [backup-simplify]: Simplify 1/2 into 1/2
2.689 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z
2.689 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
2.689 * [taylor]: Taking taylor expansion of z in z
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 1 into 1
2.689 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.689 * [taylor]: Taking taylor expansion of 3.0 in z
2.689 * [backup-simplify]: Simplify 3.0 into 3.0
2.689 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.690 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
2.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
2.693 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
2.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* z (* 1 1))) into (/ z (sqrt 3.0))
2.698 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 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))))))
2.698 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (y x z) around 0
2.698 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
2.698 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
2.698 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.698 * [taylor]: Taking taylor expansion of 3.0 in z
2.698 * [backup-simplify]: Simplify 3.0 into 3.0
2.699 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.700 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.700 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.700 * [taylor]: Taking taylor expansion of y in z
2.700 * [backup-simplify]: Simplify y into y
2.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.700 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.700 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.700 * [taylor]: Taking taylor expansion of x in z
2.700 * [backup-simplify]: Simplify x into x
2.700 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.700 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.700 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.700 * [taylor]: Taking taylor expansion of z in z
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.701 * [backup-simplify]: Simplify (/ 1 1) into 1
2.701 * [backup-simplify]: Simplify (+ 0 1) into 1
2.701 * [backup-simplify]: Simplify (+ 0 1) into 1
2.701 * [backup-simplify]: Simplify (sqrt 1) into 1
2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.703 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
2.703 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.703 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.703 * [taylor]: Taking taylor expansion of 3.0 in x
2.703 * [backup-simplify]: Simplify 3.0 into 3.0
2.703 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.704 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.704 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.704 * [taylor]: Taking taylor expansion of y in x
2.704 * [backup-simplify]: Simplify y into y
2.704 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.705 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.705 * [taylor]: Taking taylor expansion of x in x
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (* 1 1) into 1
2.705 * [backup-simplify]: Simplify (/ 1 1) into 1
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.705 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.705 * [taylor]: Taking taylor expansion of z in x
2.705 * [backup-simplify]: Simplify z into z
2.705 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.705 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.706 * [backup-simplify]: Simplify (+ 1 0) into 1
2.706 * [backup-simplify]: Simplify (+ 0 1) into 1
2.706 * [backup-simplify]: Simplify (sqrt 1) into 1
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.708 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
2.708 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.708 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.708 * [taylor]: Taking taylor expansion of 3.0 in y
2.708 * [backup-simplify]: Simplify 3.0 into 3.0
2.708 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.709 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.709 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.709 * [taylor]: Taking taylor expansion of y in y
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (* 1 1) into 1
2.710 * [backup-simplify]: Simplify (/ 1 1) into 1
2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.710 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.710 * [taylor]: Taking taylor expansion of x in y
2.710 * [backup-simplify]: Simplify x into x
2.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.710 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.710 * [taylor]: Taking taylor expansion of z in y
2.710 * [backup-simplify]: Simplify z into z
2.710 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.710 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.710 * [backup-simplify]: Simplify (+ 1 0) into 1
2.711 * [backup-simplify]: Simplify (sqrt 1) into 1
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.712 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.712 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
2.712 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.712 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.712 * [taylor]: Taking taylor expansion of 3.0 in y
2.712 * [backup-simplify]: Simplify 3.0 into 3.0
2.712 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.714 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.714 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.714 * [taylor]: Taking taylor expansion of y in y
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (* 1 1) into 1
2.714 * [backup-simplify]: Simplify (/ 1 1) into 1
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.714 * [taylor]: Taking taylor expansion of x in y
2.714 * [backup-simplify]: Simplify x into x
2.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.715 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.715 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.715 * [taylor]: Taking taylor expansion of z in y
2.715 * [backup-simplify]: Simplify z into z
2.715 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.715 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.715 * [backup-simplify]: Simplify (+ 1 0) into 1
2.715 * [backup-simplify]: Simplify (sqrt 1) into 1
2.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.718 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
2.718 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.718 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.718 * [taylor]: Taking taylor expansion of 3.0 in x
2.718 * [backup-simplify]: Simplify 3.0 into 3.0
2.718 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.719 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.720 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
2.720 * [taylor]: Taking taylor expansion of 0 in x
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
2.720 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.720 * [taylor]: Taking taylor expansion of 3.0 in z
2.720 * [backup-simplify]: Simplify 3.0 into 3.0
2.720 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.721 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.723 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.723 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.724 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.726 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
2.726 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in x
2.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) in x
2.726 * [taylor]: Taking taylor expansion of 1/2 in x
2.726 * [backup-simplify]: Simplify 1/2 into 1/2
2.726 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 3.0))) in x
2.726 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3.0)) in x
2.726 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.726 * [taylor]: Taking taylor expansion of x in x
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 1 into 1
2.726 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.726 * [taylor]: Taking taylor expansion of 3.0 in x
2.726 * [backup-simplify]: Simplify 3.0 into 3.0
2.727 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.728 * [backup-simplify]: Simplify (* 1 1) into 1
2.729 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.729 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in x
2.730 * [taylor]: Taking taylor expansion of 1/2 in x
2.730 * [backup-simplify]: Simplify 1/2 into 1/2
2.730 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in x
2.730 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in x
2.730 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.730 * [taylor]: Taking taylor expansion of z in x
2.730 * [backup-simplify]: Simplify z into z
2.730 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.730 * [taylor]: Taking taylor expansion of 3.0 in x
2.730 * [backup-simplify]: Simplify 3.0 into 3.0
2.730 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.731 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.732 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
2.732 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [taylor]: Taking taylor expansion of 0 in z
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [taylor]: Taking taylor expansion of 0 in z
2.737 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.738 * [taylor]: Taking taylor expansion of 0 in z
2.738 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.742 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.748 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
2.749 * [taylor]: Taking taylor expansion of 0 in x
2.749 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
2.757 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
2.757 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
2.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
2.757 * [taylor]: Taking taylor expansion of 1/2 in z
2.757 * [backup-simplify]: Simplify 1/2 into 1/2
2.757 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
2.757 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
2.757 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.757 * [taylor]: Taking taylor expansion of z in z
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.758 * [taylor]: Taking taylor expansion of 3.0 in z
2.758 * [backup-simplify]: Simplify 3.0 into 3.0
2.758 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.759 * [backup-simplify]: Simplify (* 1 1) into 1
2.760 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.761 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.765 * [backup-simplify]: Simplify 0 into 0
2.765 * [taylor]: Taking taylor expansion of 0 in z
2.765 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.767 * [taylor]: Taking taylor expansion of 0 in z
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
2.772 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
2.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.778 * [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
2.782 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
2.782 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in x
2.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in x
2.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) in x
2.782 * [taylor]: Taking taylor expansion of 1/4 in x
2.782 * [backup-simplify]: Simplify 1/4 into 1/4
2.782 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0)))) in x
2.782 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow z 2) (sqrt 3.0))) in x
2.782 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.782 * [taylor]: Taking taylor expansion of x in x
2.782 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify 1 into 1
2.782 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in x
2.782 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.783 * [taylor]: Taking taylor expansion of z in x
2.783 * [backup-simplify]: Simplify z into z
2.783 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.783 * [taylor]: Taking taylor expansion of 3.0 in x
2.783 * [backup-simplify]: Simplify 3.0 into 3.0
2.783 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.784 * [backup-simplify]: Simplify (* 1 1) into 1
2.784 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.785 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
2.785 * [backup-simplify]: Simplify (* 1 (* (pow z 2) (sqrt 3.0))) into (* (pow z 2) (sqrt 3.0))
2.786 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
2.786 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in x
2.786 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) in x
2.786 * [taylor]: Taking taylor expansion of 1/8 in x
2.786 * [backup-simplify]: Simplify 1/8 into 1/8
2.786 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (sqrt 3.0))) in x
2.786 * [taylor]: Taking taylor expansion of (* (pow x 4) (sqrt 3.0)) in x
2.786 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.786 * [taylor]: Taking taylor expansion of x in x
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.786 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.786 * [taylor]: Taking taylor expansion of 3.0 in x
2.786 * [backup-simplify]: Simplify 3.0 into 3.0
2.787 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.788 * [backup-simplify]: Simplify (* 1 1) into 1
2.788 * [backup-simplify]: Simplify (* 1 1) into 1
2.789 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.790 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.790 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in x
2.790 * [taylor]: Taking taylor expansion of 1/8 in x
2.790 * [backup-simplify]: Simplify 1/8 into 1/8
2.790 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in x
2.790 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in x
2.790 * [taylor]: Taking taylor expansion of (pow z 4) in x
2.790 * [taylor]: Taking taylor expansion of z in x
2.790 * [backup-simplify]: Simplify z into z
2.790 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.791 * [taylor]: Taking taylor expansion of 3.0 in x
2.791 * [backup-simplify]: Simplify 3.0 into 3.0
2.791 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.792 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.792 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.793 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
2.793 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
2.793 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.794 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow z 2) (sqrt 3.0)))) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
2.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
2.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.811 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.812 * [backup-simplify]: Simplify (+ 0 0) into 0
2.812 * [backup-simplify]: Simplify (- 0) into 0
2.812 * [taylor]: Taking taylor expansion of 0 in z
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [taylor]: Taking taylor expansion of 0 in z
2.812 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
2.816 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.816 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
2.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
2.818 * [backup-simplify]: Simplify (+ 0 0) into 0
2.818 * [taylor]: Taking taylor expansion of 0 in z
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [taylor]: Taking taylor expansion of 0 in z
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.819 * [taylor]: Taking taylor expansion of 0 in z
2.819 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 y))))) into (/ y (sqrt 3.0))
2.824 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 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))))))
2.824 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (y x z) around 0
2.824 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
2.824 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
2.824 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.824 * [taylor]: Taking taylor expansion of 3.0 in z
2.824 * [backup-simplify]: Simplify 3.0 into 3.0
2.824 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.825 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.825 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.825 * [taylor]: Taking taylor expansion of y in z
2.825 * [backup-simplify]: Simplify y into y
2.825 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.825 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.825 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.825 * [taylor]: Taking taylor expansion of x in z
2.825 * [backup-simplify]: Simplify x into x
2.825 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.825 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.825 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.825 * [taylor]: Taking taylor expansion of z in z
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.826 * [backup-simplify]: Simplify (* 1 1) into 1
2.826 * [backup-simplify]: Simplify (/ 1 1) into 1
2.826 * [backup-simplify]: Simplify (+ 0 1) into 1
2.826 * [backup-simplify]: Simplify (+ 0 1) into 1
2.827 * [backup-simplify]: Simplify (sqrt 1) into 1
2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.828 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
2.828 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.828 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.828 * [taylor]: Taking taylor expansion of 3.0 in x
2.828 * [backup-simplify]: Simplify 3.0 into 3.0
2.829 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.830 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.830 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.830 * [taylor]: Taking taylor expansion of y in x
2.830 * [backup-simplify]: Simplify y into y
2.830 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.830 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.830 * [taylor]: Taking taylor expansion of x in x
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 1 into 1
2.830 * [backup-simplify]: Simplify (* 1 1) into 1
2.830 * [backup-simplify]: Simplify (/ 1 1) into 1
2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.831 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.831 * [taylor]: Taking taylor expansion of z in x
2.831 * [backup-simplify]: Simplify z into z
2.831 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.831 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.831 * [backup-simplify]: Simplify (+ 1 0) into 1
2.831 * [backup-simplify]: Simplify (+ 0 1) into 1
2.832 * [backup-simplify]: Simplify (sqrt 1) into 1
2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (+ 0 0) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.835 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
2.835 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.835 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.835 * [taylor]: Taking taylor expansion of 3.0 in y
2.835 * [backup-simplify]: Simplify 3.0 into 3.0
2.835 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.837 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.837 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.837 * [taylor]: Taking taylor expansion of y in y
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (* 1 1) into 1
2.838 * [backup-simplify]: Simplify (/ 1 1) into 1
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.838 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.838 * [taylor]: Taking taylor expansion of x in y
2.838 * [backup-simplify]: Simplify x into x
2.838 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.838 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.838 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.838 * [taylor]: Taking taylor expansion of z in y
2.838 * [backup-simplify]: Simplify z into z
2.838 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.838 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.839 * [backup-simplify]: Simplify (+ 1 0) into 1
2.839 * [backup-simplify]: Simplify (sqrt 1) into 1
2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.841 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.842 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
2.842 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
2.842 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
2.842 * [taylor]: Taking taylor expansion of 3.0 in y
2.842 * [backup-simplify]: Simplify 3.0 into 3.0
2.842 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.844 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.844 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.844 * [taylor]: Taking taylor expansion of y in y
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (* 1 1) into 1
2.845 * [backup-simplify]: Simplify (/ 1 1) into 1
2.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.845 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.845 * [taylor]: Taking taylor expansion of x in y
2.845 * [backup-simplify]: Simplify x into x
2.845 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.845 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.845 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.845 * [taylor]: Taking taylor expansion of z in y
2.845 * [backup-simplify]: Simplify z into z
2.845 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.845 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.846 * [backup-simplify]: Simplify (+ 1 0) into 1
2.846 * [backup-simplify]: Simplify (sqrt 1) into 1
2.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.848 * [backup-simplify]: Simplify (+ 0 0) into 0
2.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.850 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
2.850 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
2.850 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.850 * [taylor]: Taking taylor expansion of 3.0 in x
2.850 * [backup-simplify]: Simplify 3.0 into 3.0
2.851 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.852 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.854 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
2.855 * [taylor]: Taking taylor expansion of 0 in x
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
2.855 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.855 * [taylor]: Taking taylor expansion of 3.0 in z
2.855 * [backup-simplify]: Simplify 3.0 into 3.0
2.855 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.857 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.859 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.861 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.865 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
2.866 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in x
2.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 3.0)))) in x
2.866 * [taylor]: Taking taylor expansion of 1/2 in x
2.866 * [backup-simplify]: Simplify 1/2 into 1/2
2.866 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 3.0))) in x
2.866 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3.0)) in x
2.866 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.866 * [taylor]: Taking taylor expansion of x in x
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 1 into 1
2.866 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.866 * [taylor]: Taking taylor expansion of 3.0 in x
2.866 * [backup-simplify]: Simplify 3.0 into 3.0
2.866 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.867 * [backup-simplify]: Simplify (* 1 1) into 1
2.868 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.869 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in x
2.869 * [taylor]: Taking taylor expansion of 1/2 in x
2.869 * [backup-simplify]: Simplify 1/2 into 1/2
2.869 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in x
2.869 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in x
2.869 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.869 * [taylor]: Taking taylor expansion of z in x
2.870 * [backup-simplify]: Simplify z into z
2.870 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.870 * [taylor]: Taking taylor expansion of 3.0 in x
2.870 * [backup-simplify]: Simplify 3.0 into 3.0
2.870 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.871 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.871 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
2.872 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.874 * [backup-simplify]: Simplify (+ 0 0) into 0
2.874 * [taylor]: Taking taylor expansion of 0 in z
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [taylor]: Taking taylor expansion of 0 in z
2.874 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.875 * [taylor]: Taking taylor expansion of 0 in z
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.876 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.877 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.880 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
2.880 * [taylor]: Taking taylor expansion of 0 in x
2.880 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
2.884 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
2.884 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
2.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
2.884 * [taylor]: Taking taylor expansion of 1/2 in z
2.884 * [backup-simplify]: Simplify 1/2 into 1/2
2.884 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
2.884 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
2.884 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.884 * [taylor]: Taking taylor expansion of z in z
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 1 into 1
2.884 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
2.884 * [taylor]: Taking taylor expansion of 3.0 in z
2.884 * [backup-simplify]: Simplify 3.0 into 3.0
2.885 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.885 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.886 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [taylor]: Taking taylor expansion of 0 in z
2.888 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.890 * [taylor]: Taking taylor expansion of 0 in z
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.891 * [backup-simplify]: Simplify 0 into 0
2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.892 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
2.893 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
2.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.896 * [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
2.898 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
2.898 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in x
2.898 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in x
2.898 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0))))) in x
2.898 * [taylor]: Taking taylor expansion of 1/4 in x
2.898 * [backup-simplify]: Simplify 1/4 into 1/4
2.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow z 2) (sqrt 3.0)))) in x
2.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow z 2) (sqrt 3.0))) in x
2.898 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.898 * [taylor]: Taking taylor expansion of x in x
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify 1 into 1
2.898 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in x
2.898 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.898 * [taylor]: Taking taylor expansion of z in x
2.898 * [backup-simplify]: Simplify z into z
2.898 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.898 * [taylor]: Taking taylor expansion of 3.0 in x
2.898 * [backup-simplify]: Simplify 3.0 into 3.0
2.898 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.899 * [backup-simplify]: Simplify (* 1 1) into 1
2.899 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.900 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
2.900 * [backup-simplify]: Simplify (* 1 (* (pow z 2) (sqrt 3.0))) into (* (pow z 2) (sqrt 3.0))
2.901 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
2.901 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in x
2.901 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (sqrt 3.0)))) in x
2.901 * [taylor]: Taking taylor expansion of 1/8 in x
2.901 * [backup-simplify]: Simplify 1/8 into 1/8
2.901 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (sqrt 3.0))) in x
2.901 * [taylor]: Taking taylor expansion of (* (pow x 4) (sqrt 3.0)) in x
2.901 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.901 * [taylor]: Taking taylor expansion of x in x
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 1 into 1
2.901 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.901 * [taylor]: Taking taylor expansion of 3.0 in x
2.901 * [backup-simplify]: Simplify 3.0 into 3.0
2.902 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.903 * [backup-simplify]: Simplify (* 1 1) into 1
2.903 * [backup-simplify]: Simplify (* 1 1) into 1
2.904 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
2.905 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
2.905 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in x
2.905 * [taylor]: Taking taylor expansion of 1/8 in x
2.905 * [backup-simplify]: Simplify 1/8 into 1/8
2.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in x
2.905 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in x
2.905 * [taylor]: Taking taylor expansion of (pow z 4) in x
2.905 * [taylor]: Taking taylor expansion of z in x
2.905 * [backup-simplify]: Simplify z into z
2.905 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
2.905 * [taylor]: Taking taylor expansion of 3.0 in x
2.905 * [backup-simplify]: Simplify 3.0 into 3.0
2.905 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
2.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
2.906 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.906 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.907 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
2.907 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
2.908 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.908 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow z 2) (sqrt 3.0)))) into 0
2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
2.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
2.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
2.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.934 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (- 0) into 0
2.935 * [taylor]: Taking taylor expansion of 0 in z
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [taylor]: Taking taylor expansion of 0 in z
2.935 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
2.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
2.939 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.939 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
2.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
2.941 * [backup-simplify]: Simplify (+ 0 0) into 0
2.941 * [taylor]: Taking taylor expansion of 0 in z
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [taylor]: Taking taylor expansion of 0 in z
2.941 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.943 * [taylor]: Taking taylor expansion of 0 in z
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
2.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 (/ y (sqrt 3.0)))
2.946 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
2.947 * [backup-simplify]: Simplify (+ (* x x) (* z z)) into (+ (pow x 2) (pow z 2))
2.947 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in (x z) around 0
2.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.947 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.947 * [taylor]: Taking taylor expansion of x in z
2.947 * [backup-simplify]: Simplify x into x
2.947 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.947 * [taylor]: Taking taylor expansion of z in z
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.947 * [taylor]: Taking taylor expansion of x in x
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.947 * [taylor]: Taking taylor expansion of z in x
2.947 * [backup-simplify]: Simplify z into z
2.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.947 * [taylor]: Taking taylor expansion of x in x
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.947 * [taylor]: Taking taylor expansion of z in x
2.947 * [backup-simplify]: Simplify z into z
2.947 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.947 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.947 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.947 * [taylor]: Taking taylor expansion of z in z
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.948 * [backup-simplify]: Simplify (+ 0 0) into 0
2.948 * [taylor]: Taking taylor expansion of 0 in z
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (* 1 1) into 1
2.948 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.949 * [backup-simplify]: Simplify (+ 1 0) into 1
2.949 * [taylor]: Taking taylor expansion of 1 in z
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify (* 1 1) into 1
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.950 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [taylor]: Taking taylor expansion of 0 in z
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.951 * [backup-simplify]: Simplify 0 into 0
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.952 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0
2.952 * [backup-simplify]: Simplify (+ 0 0) into 0
2.952 * [taylor]: Taking taylor expansion of 0 in z
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify (+ (* 1 (pow (* z 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow z 2))
2.953 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.953 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in (x z) around 0
2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.953 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.953 * [taylor]: Taking taylor expansion of x in z
2.953 * [backup-simplify]: Simplify x into x
2.953 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.953 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.953 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.953 * [taylor]: Taking taylor expansion of z in z
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (* 1 1) into 1
2.953 * [backup-simplify]: Simplify (/ 1 1) into 1
2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.953 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.953 * [taylor]: Taking taylor expansion of x in x
2.953 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 1 into 1
2.954 * [backup-simplify]: Simplify (* 1 1) into 1
2.954 * [backup-simplify]: Simplify (/ 1 1) into 1
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.954 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.954 * [taylor]: Taking taylor expansion of z in x
2.954 * [backup-simplify]: Simplify z into z
2.954 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.954 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.954 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.954 * [taylor]: Taking taylor expansion of x in x
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 1 into 1
2.955 * [backup-simplify]: Simplify (* 1 1) into 1
2.955 * [backup-simplify]: Simplify (/ 1 1) into 1
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.955 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.955 * [taylor]: Taking taylor expansion of z in x
2.955 * [backup-simplify]: Simplify z into z
2.955 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.955 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.955 * [backup-simplify]: Simplify (+ 1 0) into 1
2.955 * [taylor]: Taking taylor expansion of 1 in z
2.955 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [taylor]: Taking taylor expansion of 0 in z
2.956 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.958 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.958 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.958 * [taylor]: Taking taylor expansion of z in z
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify (* 1 1) into 1
2.958 * [backup-simplify]: Simplify (/ 1 1) into 1
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.960 * [taylor]: Taking taylor expansion of 0 in z
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [taylor]: Taking taylor expansion of 0 in z
2.963 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (+ (pow x 2) (pow z 2))
2.966 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
2.966 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in (x z) around 0
2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.966 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.966 * [taylor]: Taking taylor expansion of x in z
2.966 * [backup-simplify]: Simplify x into x
2.966 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.966 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.966 * [taylor]: Taking taylor expansion of z in z
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 1 into 1
2.967 * [backup-simplify]: Simplify (* 1 1) into 1
2.967 * [backup-simplify]: Simplify (/ 1 1) into 1
2.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.967 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.967 * [taylor]: Taking taylor expansion of x in x
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 1 into 1
2.968 * [backup-simplify]: Simplify (* 1 1) into 1
2.968 * [backup-simplify]: Simplify (/ 1 1) into 1
2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.968 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.968 * [taylor]: Taking taylor expansion of z in x
2.968 * [backup-simplify]: Simplify z into z
2.969 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.969 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.969 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.969 * [taylor]: Taking taylor expansion of x in x
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (* 1 1) into 1
2.970 * [backup-simplify]: Simplify (/ 1 1) into 1
2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.970 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.970 * [taylor]: Taking taylor expansion of z in x
2.970 * [backup-simplify]: Simplify z into z
2.970 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.970 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.971 * [backup-simplify]: Simplify (+ 1 0) into 1
2.971 * [taylor]: Taking taylor expansion of 1 in z
2.971 * [backup-simplify]: Simplify 1 into 1
2.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (+ 0 0) into 0
2.973 * [taylor]: Taking taylor expansion of 0 in z
2.973 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.975 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.975 * [taylor]: Taking taylor expansion of z in z
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.976 * [backup-simplify]: Simplify (* 1 1) into 1
2.976 * [backup-simplify]: Simplify (/ 1 1) into 1
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.978 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.979 * [backup-simplify]: Simplify (+ 0 0) into 0
2.979 * [taylor]: Taking taylor expansion of 0 in z
2.979 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.984 * [taylor]: Taking taylor expansion of 0 in z
2.984 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (+ (pow x 2) (pow z 2))
2.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
2.987 * [backup-simplify]: Simplify (+ (* y y) (+ (* x x) (* z z))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.987 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (y x z) around 0
2.987 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.987 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.987 * [taylor]: Taking taylor expansion of y in z
2.988 * [backup-simplify]: Simplify y into y
2.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.988 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.988 * [taylor]: Taking taylor expansion of x in z
2.988 * [backup-simplify]: Simplify x into x
2.988 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.988 * [taylor]: Taking taylor expansion of z in z
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.988 * [taylor]: Taking taylor expansion of y in x
2.988 * [backup-simplify]: Simplify y into y
2.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.988 * [taylor]: Taking taylor expansion of x in x
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.988 * [taylor]: Taking taylor expansion of z in x
2.988 * [backup-simplify]: Simplify z into z
2.988 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.988 * [taylor]: Taking taylor expansion of y in y
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.988 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.988 * [taylor]: Taking taylor expansion of x in y
2.988 * [backup-simplify]: Simplify x into x
2.988 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.988 * [taylor]: Taking taylor expansion of z in y
2.988 * [backup-simplify]: Simplify z into z
2.988 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.988 * [taylor]: Taking taylor expansion of y in y
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 1 into 1
2.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.989 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.989 * [taylor]: Taking taylor expansion of x in y
2.989 * [backup-simplify]: Simplify x into x
2.989 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.989 * [taylor]: Taking taylor expansion of z in y
2.989 * [backup-simplify]: Simplify z into z
2.989 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.989 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.989 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.989 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.989 * [taylor]: Taking taylor expansion of (+ (pow z 2) (pow x 2)) in x
2.990 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.990 * [taylor]: Taking taylor expansion of z in x
2.990 * [backup-simplify]: Simplify z into z
2.990 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.990 * [taylor]: Taking taylor expansion of x in x
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.990 * [backup-simplify]: Simplify (+ (pow z 2) 0) into (pow z 2)
2.990 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.990 * [taylor]: Taking taylor expansion of z in z
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.990 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.991 * [backup-simplify]: Simplify (+ 0 0) into 0
2.991 * [backup-simplify]: Simplify (+ 0 0) into 0
2.991 * [taylor]: Taking taylor expansion of 0 in x
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [taylor]: Taking taylor expansion of 0 in z
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.992 * [backup-simplify]: Simplify (+ 0 0) into 0
2.992 * [taylor]: Taking taylor expansion of 0 in z
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.993 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.994 * [backup-simplify]: Simplify (+ 0 0) into 0
2.994 * [backup-simplify]: Simplify (+ 1 0) into 1
2.994 * [taylor]: Taking taylor expansion of 1 in x
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [taylor]: Taking taylor expansion of 1 in z
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [taylor]: Taking taylor expansion of 0 in z
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.995 * [backup-simplify]: Simplify (* 1 1) into 1
2.995 * [backup-simplify]: Simplify (+ 0 1) into 1
2.996 * [taylor]: Taking taylor expansion of 1 in z
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 y)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.997 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 z) (/ 1 z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.997 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y x z) around 0
2.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.997 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.997 * [taylor]: Taking taylor expansion of y in z
2.997 * [backup-simplify]: Simplify y into y
2.997 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.997 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.997 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.997 * [taylor]: Taking taylor expansion of x in z
2.997 * [backup-simplify]: Simplify x into x
2.997 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.997 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.997 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.997 * [taylor]: Taking taylor expansion of z in z
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (/ 1 1) into 1
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.998 * [taylor]: Taking taylor expansion of y in x
2.998 * [backup-simplify]: Simplify y into y
2.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.998 * [taylor]: Taking taylor expansion of x in x
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.999 * [backup-simplify]: Simplify (/ 1 1) into 1
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.999 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.999 * [taylor]: Taking taylor expansion of z in x
2.999 * [backup-simplify]: Simplify z into z
2.999 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.999 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.999 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.999 * [taylor]: Taking taylor expansion of y in y
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [backup-simplify]: Simplify (* 1 1) into 1
2.999 * [backup-simplify]: Simplify (/ 1 1) into 1
2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.999 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.999 * [taylor]: Taking taylor expansion of x in y
2.999 * [backup-simplify]: Simplify x into x
3.000 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.000 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.000 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.000 * [taylor]: Taking taylor expansion of z in y
3.000 * [backup-simplify]: Simplify z into z
3.000 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.000 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.000 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.000 * [taylor]: Taking taylor expansion of y in y
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [backup-simplify]: Simplify (* 1 1) into 1
3.000 * [backup-simplify]: Simplify (/ 1 1) into 1
3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.000 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.000 * [taylor]: Taking taylor expansion of x in y
3.000 * [backup-simplify]: Simplify x into x
3.001 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.001 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.001 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.001 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.001 * [taylor]: Taking taylor expansion of z in y
3.001 * [backup-simplify]: Simplify z into z
3.001 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.001 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.001 * [backup-simplify]: Simplify (+ 1 0) into 1
3.001 * [taylor]: Taking taylor expansion of 1 in x
3.001 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ 0 0) into 0
3.002 * [taylor]: Taking taylor expansion of 0 in x
3.002 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
3.004 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
3.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.004 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.004 * [taylor]: Taking taylor expansion of x in x
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 1 into 1
3.004 * [backup-simplify]: Simplify (* 1 1) into 1
3.004 * [backup-simplify]: Simplify (/ 1 1) into 1
3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.004 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.004 * [taylor]: Taking taylor expansion of z in x
3.004 * [backup-simplify]: Simplify z into z
3.004 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.005 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.005 * [backup-simplify]: Simplify (+ 1 0) into 1
3.005 * [taylor]: Taking taylor expansion of 1 in z
3.005 * [backup-simplify]: Simplify 1 into 1
3.005 * [taylor]: Taking taylor expansion of 1 in z
3.005 * [backup-simplify]: Simplify 1 into 1
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.006 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [taylor]: Taking taylor expansion of 0 in x
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.008 * [backup-simplify]: Simplify (+ 0 0) into 0
3.008 * [taylor]: Taking taylor expansion of 0 in z
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [taylor]: Taking taylor expansion of 0 in z
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [taylor]: Taking taylor expansion of 0 in z
3.008 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
3.010 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.011 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [taylor]: Taking taylor expansion of 0 in x
3.011 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.012 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.012 * [taylor]: Taking taylor expansion of z in z
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify (* 1 1) into 1
3.013 * [backup-simplify]: Simplify (/ 1 1) into 1
3.013 * [backup-simplify]: Simplify 1 into 1
3.013 * [taylor]: Taking taylor expansion of 0 in z
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [taylor]: Taking taylor expansion of 0 in z
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify 1 into 1
3.014 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 y)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
3.014 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- z)) (/ 1 (- z))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
3.014 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y x z) around 0
3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.014 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.014 * [taylor]: Taking taylor expansion of y in z
3.014 * [backup-simplify]: Simplify y into y
3.014 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.014 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.014 * [taylor]: Taking taylor expansion of x in z
3.014 * [backup-simplify]: Simplify x into x
3.014 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.014 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.014 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.014 * [taylor]: Taking taylor expansion of z in z
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.015 * [backup-simplify]: Simplify (* 1 1) into 1
3.015 * [backup-simplify]: Simplify (/ 1 1) into 1
3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.015 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.015 * [taylor]: Taking taylor expansion of y in x
3.015 * [backup-simplify]: Simplify y into y
3.015 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.015 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.015 * [taylor]: Taking taylor expansion of x in x
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (* 1 1) into 1
3.016 * [backup-simplify]: Simplify (/ 1 1) into 1
3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.016 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.016 * [taylor]: Taking taylor expansion of z in x
3.016 * [backup-simplify]: Simplify z into z
3.016 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.016 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.016 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.016 * [taylor]: Taking taylor expansion of y in y
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (* 1 1) into 1
3.017 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.017 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.017 * [taylor]: Taking taylor expansion of x in y
3.017 * [backup-simplify]: Simplify x into x
3.017 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.017 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.017 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.017 * [taylor]: Taking taylor expansion of z in y
3.017 * [backup-simplify]: Simplify z into z
3.017 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.017 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.017 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.017 * [taylor]: Taking taylor expansion of y in y
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (* 1 1) into 1
3.018 * [backup-simplify]: Simplify (/ 1 1) into 1
3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.018 * [taylor]: Taking taylor expansion of x in y
3.018 * [backup-simplify]: Simplify x into x
3.018 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.018 * [taylor]: Taking taylor expansion of z in y
3.018 * [backup-simplify]: Simplify z into z
3.018 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.018 * [backup-simplify]: Simplify (+ 1 0) into 1
3.018 * [taylor]: Taking taylor expansion of 1 in x
3.018 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.019 * [taylor]: Taking taylor expansion of 0 in x
3.019 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
3.021 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.021 * [taylor]: Taking taylor expansion of x in x
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [backup-simplify]: Simplify (* 1 1) into 1
3.021 * [backup-simplify]: Simplify (/ 1 1) into 1
3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.022 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.022 * [taylor]: Taking taylor expansion of z in x
3.022 * [backup-simplify]: Simplify z into z
3.022 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.022 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.022 * [backup-simplify]: Simplify (+ 1 0) into 1
3.022 * [taylor]: Taking taylor expansion of 1 in z
3.022 * [backup-simplify]: Simplify 1 into 1
3.022 * [taylor]: Taking taylor expansion of 1 in z
3.022 * [backup-simplify]: Simplify 1 into 1
3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.024 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.024 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.025 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [taylor]: Taking taylor expansion of 0 in x
3.025 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.027 * [backup-simplify]: Simplify (+ 0 0) into 0
3.027 * [taylor]: Taking taylor expansion of 0 in z
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [taylor]: Taking taylor expansion of 0 in z
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [taylor]: Taking taylor expansion of 0 in z
3.027 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
3.031 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.032 * [backup-simplify]: Simplify (+ 0 0) into 0
3.032 * [backup-simplify]: Simplify (+ 0 0) into 0
3.032 * [taylor]: Taking taylor expansion of 0 in x
3.032 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.034 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.034 * [taylor]: Taking taylor expansion of z in z
3.034 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (* 1 1) into 1
3.035 * [backup-simplify]: Simplify (/ 1 1) into 1
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [taylor]: Taking taylor expansion of 0 in z
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [taylor]: Taking taylor expansion of 0 in z
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify 1 into 1
3.036 * [backup-simplify]: Simplify 1 into 1
3.037 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- y))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
3.037 * * * [progress]: simplifying candidates
3.040 * [simplify]: Simplifying:
  (log (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (exp (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z))))))
  (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt 1)
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (pow (* y y) 3) (pow (+ (* x x) (* z z)) 3)))
  (sqrt (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (* (* y y) (+ (* x x) (* z z))))))
  (sqrt (- (* (* y y) (* y y)) (* (+ (* x x) (* z z)) (+ (* x x) (* z z)))))
  (sqrt (- (* y y) (+ (* x x) (* z z))))
  (/ 1 2)
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (- (log (sqrt (+ (* y y) (+ (* x x) (* z z))))) (log (sqrt 3.0)))
  (log (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (/ (* (* (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (+ (* y y) (+ (* x x) (* z z))))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0)))
  (* (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))
  (cbrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (* (* (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)) (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))) (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (/ (+ (* y y) (+ (* x x) (* z z))) 3.0)
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0)))
  (- (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (- (sqrt 3.0))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (cbrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt 1))
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z)))))) 1)
  (/ (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt 1))
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))) 1)
  (/ (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) 1)
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) 1)
  (/ (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))) (sqrt 3.0))
  (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (sqrt 3.0)))
  (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ 1 1)
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 1))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) 1)
  (/ (sqrt 3.0) (cbrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (* y y) (+ (* x x) (* z z))))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (/ (sqrt 3.0) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* y y) (+ (* x x) (* z z))))))
  (/ (sqrt 3.0) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
  (* (sqrt 3.0) (sqrt (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (* (* y y) (+ (* x x) (* z z)))))))
  (* (sqrt 3.0) (sqrt (- (* y y) (+ (* x x) (* z z)))))
  (* (exp (* x x)) (exp (* z z)))
  (log (+ (* x x) (* z z)))
  (exp (+ (* x x) (* z z)))
  (* (cbrt (+ (* x x) (* z z))) (cbrt (+ (* x x) (* z z))))
  (cbrt (+ (* x x) (* z z)))
  (* (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (+ (* x x) (* z z)))
  (sqrt (+ (* x x) (* z z)))
  (sqrt (+ (* x x) (* z z)))
  (+ (pow (* x x) 3) (pow (* z z) 3))
  (+ (* (* x x) (* x x)) (- (* (* z z) (* z z)) (* (* x x) (* z z))))
  (- (* (* x x) (* x x)) (* (* z z) (* z z)))
  (- (* x x) (* z z))
  (* (exp (* y y)) (* (exp (* x x)) (exp (* z z))))
  (* (exp (* y y)) (exp (+ (* x x) (* z z))))
  (log (+ (* y y) (+ (* x x) (* z z))))
  (exp (+ (* y y) (+ (* x x) (* z z))))
  (* (cbrt (+ (* y y) (+ (* x x) (* z z)))) (cbrt (+ (* y y) (+ (* x x) (* z z)))))
  (cbrt (+ (* y y) (+ (* x x) (* z z))))
  (* (* (+ (* y y) (+ (* x x) (* z z))) (+ (* y y) (+ (* x x) (* z z)))) (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (sqrt (+ (* y y) (+ (* x x) (* z z))))
  (+ (pow (* y y) 3) (pow (+ (* x x) (* z z)) 3))
  (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* z z)) (+ (* x x) (* z z))) (* (* y y) (+ (* x x) (* z z)))))
  (- (* (* y y) (* y y)) (* (+ (* x x) (* z z)) (+ (* x x) (* z z))))
  (- (* y y) (+ (* x x) (* z z)))
  (+ (* y y) (* x x))
  z
  y
  (* -1 y)
  (/ z (sqrt 3.0))
  (/ y (sqrt 3.0))
  (* -1 (/ y (sqrt 3.0)))
  (+ (pow x 2) (pow z 2))
  (+ (pow x 2) (pow z 2))
  (+ (pow x 2) (pow z 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
3.045 * * [simplify]: iteration 0: 151 enodes
3.105 * * [simplify]: iteration 1: 376 enodes
3.332 * * [simplify]: iteration 2: 2136 enodes
4.124 * * [simplify]: iteration complete: 5001 enodes
4.124 * * [simplify]: Extracting #0: cost 89 inf + 0
4.125 * * [simplify]: Extracting #1: cost 447 inf + 4
4.132 * * [simplify]: Extracting #2: cost 1639 inf + 97
4.139 * * [simplify]: Extracting #3: cost 1715 inf + 2012
4.146 * * [simplify]: Extracting #4: cost 1027 inf + 5729
4.153 * * [simplify]: Extracting #5: cost 306 inf + 14783
4.160 * * [simplify]: Extracting #6: cost 22 inf + 19259
4.171 * * [simplify]: Extracting #7: cost 0 inf + 19549
4.187 * [simplify]: Simplified to:
  (log (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (exp (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (pow (sqrt (+ (+ (* y y) (* x x)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z))))
  (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z))))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  1
  (sqrt (+ (+ (* y y) (* x x)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* z z)) 3) (pow y 6)))
  (sqrt (+ (pow y 4) (* (+ (* x x) (- (* z z) (* y y))) (+ (* x x) (* z z)))))
  (sqrt (- (pow y 4) (* (+ (* x x) (* z z)) (+ (* x x) (* z z)))))
  (sqrt (- (* (+ y x) (- y x)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (log (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (log (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (/ (/ (pow (sqrt (+ (+ (* y y) (* x x)) (* z z))) 3) 3.0) (sqrt 3.0))
  (* (cbrt (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))))
  (cbrt (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (pow (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)) 3)
  (/ (+ (+ (* y y) (* x x)) (* z z)) 3.0)
  (sqrt (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0)))
  (- (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (- (sqrt 3.0))
  (* (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (/ (fabs (cbrt 3.0)) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (/ (sqrt (sqrt 3.0)) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (/ (sqrt (sqrt 3.0)) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (/ (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (fabs (cbrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))
  (/ (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))) (sqrt 3.0))
  (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (fabs (cbrt 3.0)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  (sqrt (+ (+ (* y y) (* x x)) (* z z)))
  (/ (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt (sqrt 3.0)))
  (sqrt (+ (+ (* y y) (* x x)) (* z z)))
  (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* y y) (* x x)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (+ (+ (* y y) (* x x)) (* z z))))
  (* (sqrt (+ (pow y 4) (* (+ (* x x) (- (* z z) (* y y))) (+ (* x x) (* z z))))) (sqrt 3.0))
  (* (sqrt (- (* (+ y x) (- y x)) (* z z))) (sqrt 3.0))
  (exp (+ (* x x) (* z z)))
  (log (+ (* x x) (* z z)))
  (exp (+ (* x x) (* z z)))
  (* (cbrt (+ (* x x) (* z z))) (cbrt (+ (* x x) (* z z))))
  (cbrt (+ (* x x) (* z z)))
  (pow (+ (* x x) (* z z)) 3)
  (sqrt (+ (* x x) (* z z)))
  (sqrt (+ (* x x) (* z z)))
  (+ (pow z 6) (pow x 6))
  (+ (pow x 4) (* (* z z) (- (* z z) (* x x))))
  (- (pow x 4) (pow z 4))
  (* (+ x z) (- x z))
  (exp (+ (+ (* y y) (* x x)) (* z z)))
  (exp (+ (+ (* y y) (* x x)) (* z z)))
  (log (+ (+ (* y y) (* x x)) (* z z)))
  (exp (+ (+ (* y y) (* x x)) (* z z)))
  (* (cbrt (+ (+ (* y y) (* x x)) (* z z))) (cbrt (+ (+ (* y y) (* x x)) (* z z))))
  (cbrt (+ (+ (* y y) (* x x)) (* z z)))
  (pow (+ (+ (* y y) (* x x)) (* z z)) 3)
  (sqrt (+ (+ (* y y) (* x x)) (* z z)))
  (sqrt (+ (+ (* y y) (* x x)) (* z z)))
  (+ (pow (+ (* x x) (* z z)) 3) (pow y 6))
  (+ (pow y 4) (* (+ (* x x) (- (* z z) (* y y))) (+ (* x x) (* z z))))
  (- (pow y 4) (* (+ (* x x) (* z z)) (+ (* x x) (* z z))))
  (- (* (+ y x) (- y x)) (* z z))
  (+ (* y y) (* x x))
  z
  y
  (- y)
  (/ z (sqrt 3.0))
  (/ y (sqrt 3.0))
  (- (/ y (sqrt 3.0)))
  (+ (* x x) (* z z))
  (+ (* x x) (* z z))
  (+ (* x x) (* z z))
  (+ (+ (* y y) (* x x)) (* z z))
  (+ (+ (* y y) (* x x)) (* z z))
  (+ (+ (* y y) (* x x)) (* z z))
4.188 * * * [progress]: adding candidates to table
4.740 * * [progress]: iteration 3 / 4
4.740 * * * [progress]: picking best candidate
4.778 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))>
4.778 * * * [progress]: localizing error
4.799 * * * [progress]: generating rewritten candidates
4.799 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
4.864 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
4.994 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
5.078 * * * [progress]: generating series expansions
5.078 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
5.079 * [backup-simplify]: Simplify (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
5.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (y z x) around 0
5.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
5.079 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
5.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.079 * [taylor]: Taking taylor expansion of y in x
5.079 * [backup-simplify]: Simplify y into y
5.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
5.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.079 * [taylor]: Taking taylor expansion of x in x
5.079 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify 1 into 1
5.079 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.079 * [taylor]: Taking taylor expansion of z in x
5.079 * [backup-simplify]: Simplify z into z
5.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.079 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.080 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.080 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.080 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.080 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.081 * [backup-simplify]: Simplify (+ 0 0) into 0
5.081 * [backup-simplify]: Simplify (+ 0 0) into 0
5.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
5.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
5.082 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.082 * [taylor]: Taking taylor expansion of y in z
5.082 * [backup-simplify]: Simplify y into y
5.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.082 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.082 * [taylor]: Taking taylor expansion of x in z
5.082 * [backup-simplify]: Simplify x into x
5.082 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.082 * [taylor]: Taking taylor expansion of z in z
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 1 into 1
5.082 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.082 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.082 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.083 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
5.083 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
5.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.083 * [backup-simplify]: Simplify (+ 0 0) into 0
5.084 * [backup-simplify]: Simplify (+ 0 0) into 0
5.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
5.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
5.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.084 * [taylor]: Taking taylor expansion of y in y
5.084 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify 1 into 1
5.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.084 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.084 * [taylor]: Taking taylor expansion of x in y
5.084 * [backup-simplify]: Simplify x into x
5.084 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.084 * [taylor]: Taking taylor expansion of z in y
5.084 * [backup-simplify]: Simplify z into z
5.085 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.085 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.085 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.085 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
5.085 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.085 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.086 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.086 * [backup-simplify]: Simplify (+ 0 0) into 0
5.086 * [backup-simplify]: Simplify (+ 0 0) into 0
5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
5.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
5.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.087 * [taylor]: Taking taylor expansion of y in y
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 1 into 1
5.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.087 * [taylor]: Taking taylor expansion of x in y
5.087 * [backup-simplify]: Simplify x into x
5.087 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.087 * [taylor]: Taking taylor expansion of z in y
5.087 * [backup-simplify]: Simplify z into z
5.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.087 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.087 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.088 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
5.088 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.088 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.088 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.089 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
5.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
5.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.090 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.090 * [taylor]: Taking taylor expansion of x in z
5.090 * [backup-simplify]: Simplify x into x
5.090 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.090 * [taylor]: Taking taylor expansion of z in z
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 1 into 1
5.090 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.090 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.090 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.090 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.090 * [backup-simplify]: Simplify (+ 0 0) into 0
5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.091 * [taylor]: Taking taylor expansion of x in x
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [taylor]: Taking taylor expansion of 0 in z
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [taylor]: Taking taylor expansion of 0 in x
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [taylor]: Taking taylor expansion of 0 in x
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.092 * [backup-simplify]: Simplify (* 1 1) into 1
5.092 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.092 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.093 * [backup-simplify]: Simplify (+ 0 0) into 0
5.093 * [backup-simplify]: Simplify (+ 1 0) into 1
5.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
5.094 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in z
5.094 * [taylor]: Taking taylor expansion of 1/2 in z
5.094 * [backup-simplify]: Simplify 1/2 into 1/2
5.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
5.094 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
5.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.094 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.095 * [taylor]: Taking taylor expansion of x in z
5.095 * [backup-simplify]: Simplify x into x
5.095 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.095 * [taylor]: Taking taylor expansion of z in z
5.095 * [backup-simplify]: Simplify 0 into 0
5.095 * [backup-simplify]: Simplify 1 into 1
5.095 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.095 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.095 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
5.095 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.096 * [backup-simplify]: Simplify (+ 0 0) into 0
5.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
5.096 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
5.096 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.096 * [taylor]: Taking taylor expansion of 1/2 in x
5.096 * [backup-simplify]: Simplify 1/2 into 1/2
5.096 * [taylor]: Taking taylor expansion of x in x
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 1 into 1
5.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in x
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.099 * [backup-simplify]: Simplify (* 1 1) into 1
5.100 * [backup-simplify]: Simplify (+ 0 1) into 1
5.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
5.100 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.100 * [taylor]: Taking taylor expansion of 1/2 in x
5.100 * [backup-simplify]: Simplify 1/2 into 1/2
5.100 * [taylor]: Taking taylor expansion of x in x
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [backup-simplify]: Simplify 1 into 1
5.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
5.103 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
5.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
5.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
5.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.103 * [taylor]: Taking taylor expansion of y in x
5.103 * [backup-simplify]: Simplify y into y
5.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.103 * [taylor]: Taking taylor expansion of x in x
5.103 * [backup-simplify]: Simplify 0 into 0
5.104 * [backup-simplify]: Simplify 1 into 1
5.104 * [backup-simplify]: Simplify (* 1 1) into 1
5.104 * [backup-simplify]: Simplify (/ 1 1) into 1
5.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.104 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.104 * [taylor]: Taking taylor expansion of z in x
5.104 * [backup-simplify]: Simplify z into z
5.104 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.105 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.105 * [backup-simplify]: Simplify (+ 1 0) into 1
5.106 * [backup-simplify]: Simplify (+ 0 1) into 1
5.106 * [backup-simplify]: Simplify (sqrt 1) into 1
5.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.108 * [backup-simplify]: Simplify (+ 0 0) into 0
5.108 * [backup-simplify]: Simplify (+ 0 0) into 0
5.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.109 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.109 * [taylor]: Taking taylor expansion of y in z
5.109 * [backup-simplify]: Simplify y into y
5.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.109 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.109 * [taylor]: Taking taylor expansion of x in z
5.109 * [backup-simplify]: Simplify x into x
5.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.110 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.110 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.110 * [taylor]: Taking taylor expansion of z in z
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (* 1 1) into 1
5.111 * [backup-simplify]: Simplify (/ 1 1) into 1
5.111 * [backup-simplify]: Simplify (+ 0 1) into 1
5.111 * [backup-simplify]: Simplify (+ 0 1) into 1
5.112 * [backup-simplify]: Simplify (sqrt 1) into 1
5.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.113 * [backup-simplify]: Simplify (+ 0 0) into 0
5.114 * [backup-simplify]: Simplify (+ 0 0) into 0
5.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.115 * [taylor]: Taking taylor expansion of y in y
5.115 * [backup-simplify]: Simplify 0 into 0
5.115 * [backup-simplify]: Simplify 1 into 1
5.115 * [backup-simplify]: Simplify (* 1 1) into 1
5.115 * [backup-simplify]: Simplify (/ 1 1) into 1
5.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.115 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.115 * [taylor]: Taking taylor expansion of x in y
5.115 * [backup-simplify]: Simplify x into x
5.116 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.116 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.116 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.116 * [taylor]: Taking taylor expansion of z in y
5.116 * [backup-simplify]: Simplify z into z
5.116 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.116 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.117 * [backup-simplify]: Simplify (+ 1 0) into 1
5.117 * [backup-simplify]: Simplify (sqrt 1) into 1
5.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (+ 0 0) into 0
5.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.120 * [taylor]: Taking taylor expansion of y in y
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [backup-simplify]: Simplify 1 into 1
5.120 * [backup-simplify]: Simplify (* 1 1) into 1
5.121 * [backup-simplify]: Simplify (/ 1 1) into 1
5.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.121 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.121 * [taylor]: Taking taylor expansion of x in y
5.121 * [backup-simplify]: Simplify x into x
5.121 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.121 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.121 * [taylor]: Taking taylor expansion of z in y
5.121 * [backup-simplify]: Simplify z into z
5.121 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.121 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.122 * [backup-simplify]: Simplify (+ 1 0) into 1
5.122 * [backup-simplify]: Simplify (sqrt 1) into 1
5.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.124 * [backup-simplify]: Simplify (+ 0 0) into 0
5.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.125 * [taylor]: Taking taylor expansion of 1 in z
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [taylor]: Taking taylor expansion of 0 in z
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [taylor]: Taking taylor expansion of 1 in x
5.125 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.127 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.127 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.129 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.129 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.129 * [taylor]: Taking taylor expansion of 1/2 in z
5.129 * [backup-simplify]: Simplify 1/2 into 1/2
5.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.129 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.129 * [taylor]: Taking taylor expansion of x in z
5.129 * [backup-simplify]: Simplify x into x
5.129 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.129 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.129 * [taylor]: Taking taylor expansion of z in z
5.129 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.130 * [backup-simplify]: Simplify (* 1 1) into 1
5.130 * [backup-simplify]: Simplify (/ 1 1) into 1
5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.132 * [backup-simplify]: Simplify (+ 0 0) into 0
5.132 * [backup-simplify]: Simplify (+ 0 1) into 1
5.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.133 * [taylor]: Taking taylor expansion of 0 in x
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [taylor]: Taking taylor expansion of 0 in x
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [taylor]: Taking taylor expansion of 0 in x
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.135 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.136 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.136 * [backup-simplify]: Simplify (+ 0 0) into 0
5.137 * [backup-simplify]: Simplify (+ 0 0) into 0
5.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
5.138 * [taylor]: Taking taylor expansion of 0 in z
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.140 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.140 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
5.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
5.140 * [taylor]: Taking taylor expansion of 1/2 in x
5.140 * [backup-simplify]: Simplify 1/2 into 1/2
5.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.141 * [taylor]: Taking taylor expansion of x in x
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 1 into 1
5.141 * [backup-simplify]: Simplify (* 1 1) into 1
5.141 * [backup-simplify]: Simplify (/ 1 1) into 1
5.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [taylor]: Taking taylor expansion of 0 in x
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [taylor]: Taking taylor expansion of 0 in x
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.148 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.149 * [backup-simplify]: Simplify (+ 0 0) into 0
5.150 * [backup-simplify]: Simplify (+ 0 0) into 0
5.151 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
5.151 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
5.151 * [taylor]: Taking taylor expansion of -1/2 in z
5.151 * [backup-simplify]: Simplify -1/2 into -1/2
5.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
5.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
5.152 * [taylor]: Taking taylor expansion of 1/2 in z
5.152 * [backup-simplify]: Simplify 1/2 into 1/2
5.152 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
5.152 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
5.152 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.152 * [taylor]: Taking taylor expansion of x in z
5.152 * [backup-simplify]: Simplify x into x
5.152 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.152 * [taylor]: Taking taylor expansion of z in z
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify 1 into 1
5.152 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.152 * [backup-simplify]: Simplify (* 1 1) into 1
5.152 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
5.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
5.153 * [taylor]: Taking taylor expansion of 1/4 in z
5.153 * [backup-simplify]: Simplify 1/4 into 1/4
5.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
5.153 * [taylor]: Taking taylor expansion of (pow x 4) in z
5.153 * [taylor]: Taking taylor expansion of x in z
5.153 * [backup-simplify]: Simplify x into x
5.153 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.153 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
5.153 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
5.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
5.153 * [taylor]: Taking taylor expansion of 1/4 in z
5.153 * [backup-simplify]: Simplify 1/4 into 1/4
5.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
5.153 * [taylor]: Taking taylor expansion of (pow z 4) in z
5.153 * [taylor]: Taking taylor expansion of z in z
5.153 * [backup-simplify]: Simplify 0 into 0
5.153 * [backup-simplify]: Simplify 1 into 1
5.154 * [backup-simplify]: Simplify (* 1 1) into 1
5.154 * [backup-simplify]: Simplify (* 1 1) into 1
5.155 * [backup-simplify]: Simplify (/ 1 1) into 1
5.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.155 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.156 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
5.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.165 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
5.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.166 * [backup-simplify]: Simplify (+ 0 0) into 0
5.166 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
5.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.167 * [backup-simplify]: Simplify (+ 0 0) into 0
5.167 * [backup-simplify]: Simplify (+ 0 0) into 0
5.167 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.167 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.168 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.168 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.169 * [taylor]: Taking taylor expansion of 0 in x
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [taylor]: Taking taylor expansion of 0 in x
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.170 * [backup-simplify]: Simplify (+ 0 0) into 0
5.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
5.171 * [taylor]: Taking taylor expansion of 0 in x
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [taylor]: Taking taylor expansion of 0 in x
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [taylor]: Taking taylor expansion of 0 in x
5.171 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
5.173 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
5.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
5.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
5.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.173 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.173 * [taylor]: Taking taylor expansion of y in x
5.173 * [backup-simplify]: Simplify y into y
5.173 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.174 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.174 * [taylor]: Taking taylor expansion of x in x
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (* 1 1) into 1
5.174 * [backup-simplify]: Simplify (/ 1 1) into 1
5.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.174 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.174 * [taylor]: Taking taylor expansion of z in x
5.174 * [backup-simplify]: Simplify z into z
5.174 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.174 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.175 * [backup-simplify]: Simplify (+ 1 0) into 1
5.175 * [backup-simplify]: Simplify (+ 0 1) into 1
5.175 * [backup-simplify]: Simplify (sqrt 1) into 1
5.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.176 * [backup-simplify]: Simplify (+ 0 0) into 0
5.176 * [backup-simplify]: Simplify (+ 0 0) into 0
5.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
5.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.177 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.177 * [taylor]: Taking taylor expansion of y in z
5.177 * [backup-simplify]: Simplify y into y
5.177 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.177 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.177 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.177 * [taylor]: Taking taylor expansion of x in z
5.177 * [backup-simplify]: Simplify x into x
5.177 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.177 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.177 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.177 * [taylor]: Taking taylor expansion of z in z
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.178 * [backup-simplify]: Simplify (* 1 1) into 1
5.178 * [backup-simplify]: Simplify (/ 1 1) into 1
5.178 * [backup-simplify]: Simplify (+ 0 1) into 1
5.178 * [backup-simplify]: Simplify (+ 0 1) into 1
5.179 * [backup-simplify]: Simplify (sqrt 1) into 1
5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify (+ 0 0) into 0
5.183 * [backup-simplify]: Simplify (+ 0 0) into 0
5.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.184 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.184 * [taylor]: Taking taylor expansion of y in y
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify 1 into 1
5.184 * [backup-simplify]: Simplify (* 1 1) into 1
5.184 * [backup-simplify]: Simplify (/ 1 1) into 1
5.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.184 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.184 * [taylor]: Taking taylor expansion of x in y
5.184 * [backup-simplify]: Simplify x into x
5.184 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.185 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.185 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.185 * [taylor]: Taking taylor expansion of z in y
5.185 * [backup-simplify]: Simplify z into z
5.185 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.185 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.185 * [backup-simplify]: Simplify (+ 1 0) into 1
5.185 * [backup-simplify]: Simplify (sqrt 1) into 1
5.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.186 * [backup-simplify]: Simplify (+ 0 0) into 0
5.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.187 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.187 * [taylor]: Taking taylor expansion of y in y
5.187 * [backup-simplify]: Simplify 0 into 0
5.187 * [backup-simplify]: Simplify 1 into 1
5.187 * [backup-simplify]: Simplify (* 1 1) into 1
5.187 * [backup-simplify]: Simplify (/ 1 1) into 1
5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.187 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.187 * [taylor]: Taking taylor expansion of x in y
5.187 * [backup-simplify]: Simplify x into x
5.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.188 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.188 * [taylor]: Taking taylor expansion of z in y
5.188 * [backup-simplify]: Simplify z into z
5.188 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.188 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.188 * [backup-simplify]: Simplify (+ 1 0) into 1
5.188 * [backup-simplify]: Simplify (sqrt 1) into 1
5.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.190 * [taylor]: Taking taylor expansion of 1 in z
5.190 * [backup-simplify]: Simplify 1 into 1
5.190 * [taylor]: Taking taylor expansion of 0 in z
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [taylor]: Taking taylor expansion of 1 in x
5.190 * [backup-simplify]: Simplify 1 into 1
5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.191 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.192 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.193 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.193 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.193 * [taylor]: Taking taylor expansion of 1/2 in z
5.194 * [backup-simplify]: Simplify 1/2 into 1/2
5.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.194 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.194 * [taylor]: Taking taylor expansion of x in z
5.194 * [backup-simplify]: Simplify x into x
5.194 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.194 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.194 * [taylor]: Taking taylor expansion of z in z
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify 1 into 1
5.194 * [backup-simplify]: Simplify (* 1 1) into 1
5.195 * [backup-simplify]: Simplify (/ 1 1) into 1
5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.197 * [backup-simplify]: Simplify (+ 0 0) into 0
5.197 * [backup-simplify]: Simplify (+ 0 1) into 1
5.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.198 * [taylor]: Taking taylor expansion of 0 in x
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [taylor]: Taking taylor expansion of 0 in x
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [taylor]: Taking taylor expansion of 0 in x
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify 1 into 1
5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.201 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.201 * [backup-simplify]: Simplify (+ 0 0) into 0
5.202 * [backup-simplify]: Simplify (+ 0 0) into 0
5.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
5.202 * [taylor]: Taking taylor expansion of 0 in z
5.203 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.204 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.204 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
5.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
5.204 * [taylor]: Taking taylor expansion of 1/2 in x
5.204 * [backup-simplify]: Simplify 1/2 into 1/2
5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.204 * [taylor]: Taking taylor expansion of x in x
5.204 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify 1 into 1
5.205 * [backup-simplify]: Simplify (* 1 1) into 1
5.205 * [backup-simplify]: Simplify (/ 1 1) into 1
5.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [taylor]: Taking taylor expansion of 0 in x
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [taylor]: Taking taylor expansion of 0 in x
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.208 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.209 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.209 * [backup-simplify]: Simplify (+ 0 0) into 0
5.209 * [backup-simplify]: Simplify (+ 0 0) into 0
5.210 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
5.210 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
5.210 * [taylor]: Taking taylor expansion of -1/2 in z
5.211 * [backup-simplify]: Simplify -1/2 into -1/2
5.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
5.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
5.211 * [taylor]: Taking taylor expansion of 1/2 in z
5.211 * [backup-simplify]: Simplify 1/2 into 1/2
5.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
5.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
5.211 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.211 * [taylor]: Taking taylor expansion of x in z
5.211 * [backup-simplify]: Simplify x into x
5.211 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.211 * [taylor]: Taking taylor expansion of z in z
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.211 * [backup-simplify]: Simplify (* 1 1) into 1
5.211 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
5.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
5.211 * [taylor]: Taking taylor expansion of 1/4 in z
5.211 * [backup-simplify]: Simplify 1/4 into 1/4
5.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
5.211 * [taylor]: Taking taylor expansion of (pow x 4) in z
5.211 * [taylor]: Taking taylor expansion of x in z
5.211 * [backup-simplify]: Simplify x into x
5.211 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.211 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
5.212 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
5.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
5.212 * [taylor]: Taking taylor expansion of 1/4 in z
5.212 * [backup-simplify]: Simplify 1/4 into 1/4
5.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
5.212 * [taylor]: Taking taylor expansion of (pow z 4) in z
5.212 * [taylor]: Taking taylor expansion of z in z
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 1 into 1
5.212 * [backup-simplify]: Simplify (* 1 1) into 1
5.212 * [backup-simplify]: Simplify (* 1 1) into 1
5.212 * [backup-simplify]: Simplify (/ 1 1) into 1
5.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.213 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.213 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
5.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.219 * [backup-simplify]: Simplify (+ 0 0) into 0
5.219 * [backup-simplify]: Simplify (+ 0 0) into 0
5.219 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
5.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.220 * [backup-simplify]: Simplify (+ 0 0) into 0
5.220 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
5.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.221 * [backup-simplify]: Simplify (+ 0 0) into 0
5.221 * [backup-simplify]: Simplify (+ 0 0) into 0
5.221 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.222 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.222 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.223 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.223 * [taylor]: Taking taylor expansion of 0 in x
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [taylor]: Taking taylor expansion of 0 in x
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (+ 0 0) into 0
5.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
5.225 * [taylor]: Taking taylor expansion of 0 in x
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [taylor]: Taking taylor expansion of 0 in x
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [taylor]: Taking taylor expansion of 0 in x
5.225 * [backup-simplify]: Simplify 0 into 0
5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
5.227 * * * * [progress]: [ 2 / 3 ] generating series at (2)
5.228 * [backup-simplify]: Simplify (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
5.228 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (y z x) around 0
5.228 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
5.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
5.228 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
5.228 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.228 * [taylor]: Taking taylor expansion of y in x
5.228 * [backup-simplify]: Simplify y into y
5.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
5.228 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.228 * [taylor]: Taking taylor expansion of x in x
5.228 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify 1 into 1
5.228 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.228 * [taylor]: Taking taylor expansion of z in x
5.228 * [backup-simplify]: Simplify z into z
5.228 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.228 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.228 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.229 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.229 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.229 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.229 * [backup-simplify]: Simplify (+ 0 0) into 0
5.229 * [backup-simplify]: Simplify (+ 0 0) into 0
5.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.229 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.230 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.230 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.230 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
5.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
5.230 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
5.230 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.230 * [taylor]: Taking taylor expansion of y in z
5.230 * [backup-simplify]: Simplify y into y
5.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.230 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.230 * [taylor]: Taking taylor expansion of x in z
5.230 * [backup-simplify]: Simplify x into x
5.230 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.230 * [taylor]: Taking taylor expansion of z in z
5.230 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify 1 into 1
5.231 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.231 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.231 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
5.231 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
5.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.231 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.231 * [backup-simplify]: Simplify (+ 0 0) into 0
5.232 * [backup-simplify]: Simplify (+ 0 0) into 0
5.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
5.232 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.232 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.232 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.232 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.233 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
5.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
5.233 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.233 * [taylor]: Taking taylor expansion of y in y
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 1 into 1
5.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.233 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.233 * [taylor]: Taking taylor expansion of x in y
5.233 * [backup-simplify]: Simplify x into x
5.233 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.233 * [taylor]: Taking taylor expansion of z in y
5.233 * [backup-simplify]: Simplify z into z
5.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.233 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.233 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.233 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
5.233 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.233 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.234 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
5.234 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.234 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.235 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.235 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
5.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
5.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.235 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.235 * [taylor]: Taking taylor expansion of y in y
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify 1 into 1
5.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.235 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.235 * [taylor]: Taking taylor expansion of x in y
5.235 * [backup-simplify]: Simplify x into x
5.235 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.235 * [taylor]: Taking taylor expansion of z in y
5.235 * [backup-simplify]: Simplify z into z
5.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.236 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.236 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.236 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
5.236 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.236 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.237 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.237 * [backup-simplify]: Simplify (+ 0 0) into 0
5.237 * [backup-simplify]: Simplify (+ 0 0) into 0
5.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
5.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.238 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.238 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.240 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333))
5.240 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) in z
5.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
5.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.240 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.240 * [taylor]: Taking taylor expansion of x in z
5.240 * [backup-simplify]: Simplify x into x
5.240 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.240 * [taylor]: Taking taylor expansion of z in z
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.240 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.240 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.241 * [backup-simplify]: Simplify (+ 0 0) into 0
5.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.241 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.241 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.241 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.241 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.242 * [backup-simplify]: Simplify (* x (sqrt 0.3333333333333333)) into (* x (sqrt 0.3333333333333333))
5.243 * [taylor]: Taking taylor expansion of (* x (sqrt 0.3333333333333333)) in x
5.243 * [taylor]: Taking taylor expansion of x in x
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 1 into 1
5.243 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.243 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.243 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.244 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.245 * [taylor]: Taking taylor expansion of 0 in z
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in x
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.246 * [taylor]: Taking taylor expansion of 0 in x
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
5.248 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.249 * [backup-simplify]: Simplify (* 1 1) into 1
5.249 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.250 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.250 * [backup-simplify]: Simplify (+ 0 0) into 0
5.250 * [backup-simplify]: Simplify (+ 1 0) into 1
5.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
5.252 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)))
5.252 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))) in z
5.252 * [taylor]: Taking taylor expansion of 1/2 in z
5.252 * [backup-simplify]: Simplify 1/2 into 1/2
5.252 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
5.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
5.252 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
5.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.252 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.252 * [taylor]: Taking taylor expansion of x in z
5.252 * [backup-simplify]: Simplify x into x
5.252 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.252 * [taylor]: Taking taylor expansion of z in z
5.252 * [backup-simplify]: Simplify 0 into 0
5.252 * [backup-simplify]: Simplify 1 into 1
5.252 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.252 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.252 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
5.252 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.253 * [backup-simplify]: Simplify (+ 0 0) into 0
5.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
5.253 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.253 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.253 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.254 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) x)
5.254 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) x)) into (* 1/2 (/ (sqrt 0.3333333333333333) x))
5.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) x)) in x
5.254 * [taylor]: Taking taylor expansion of 1/2 in x
5.254 * [backup-simplify]: Simplify 1/2 into 1/2
5.254 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) x) in x
5.254 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.254 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.254 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.254 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.255 * [taylor]: Taking taylor expansion of x in x
5.255 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify 1 into 1
5.256 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [taylor]: Taking taylor expansion of 0 in x
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.258 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.258 * [backup-simplify]: Simplify (* 1 1) into 1
5.258 * [backup-simplify]: Simplify (+ 0 1) into 1
5.259 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
5.259 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* (/ 1/2 x) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) x))
5.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) x)) in x
5.259 * [taylor]: Taking taylor expansion of 1/2 in x
5.259 * [backup-simplify]: Simplify 1/2 into 1/2
5.259 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) x) in x
5.259 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.260 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.260 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.260 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.260 * [taylor]: Taking taylor expansion of x in x
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.261 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.262 * [backup-simplify]: Simplify 0 into 0
5.262 * [backup-simplify]: Simplify 0 into 0
5.262 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
5.263 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* x (* 1 1))) into (* x (sqrt 0.3333333333333333))
5.265 * [backup-simplify]: Simplify (* (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
5.265 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y z x) around 0
5.265 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
5.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
5.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.265 * [taylor]: Taking taylor expansion of y in x
5.265 * [backup-simplify]: Simplify y into y
5.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.265 * [taylor]: Taking taylor expansion of x in x
5.265 * [backup-simplify]: Simplify 0 into 0
5.265 * [backup-simplify]: Simplify 1 into 1
5.265 * [backup-simplify]: Simplify (* 1 1) into 1
5.266 * [backup-simplify]: Simplify (/ 1 1) into 1
5.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.266 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.266 * [taylor]: Taking taylor expansion of z in x
5.266 * [backup-simplify]: Simplify z into z
5.266 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.266 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.266 * [backup-simplify]: Simplify (+ 1 0) into 1
5.266 * [backup-simplify]: Simplify (+ 0 1) into 1
5.267 * [backup-simplify]: Simplify (sqrt 1) into 1
5.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.268 * [backup-simplify]: Simplify (+ 0 0) into 0
5.268 * [backup-simplify]: Simplify (+ 0 0) into 0
5.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.268 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.268 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.269 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.269 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
5.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
5.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.269 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.269 * [taylor]: Taking taylor expansion of y in z
5.269 * [backup-simplify]: Simplify y into y
5.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.269 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.269 * [taylor]: Taking taylor expansion of x in z
5.269 * [backup-simplify]: Simplify x into x
5.269 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.270 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.270 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.270 * [taylor]: Taking taylor expansion of z in z
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.270 * [backup-simplify]: Simplify (* 1 1) into 1
5.270 * [backup-simplify]: Simplify (/ 1 1) into 1
5.270 * [backup-simplify]: Simplify (+ 0 1) into 1
5.271 * [backup-simplify]: Simplify (+ 0 1) into 1
5.271 * [backup-simplify]: Simplify (sqrt 1) into 1
5.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.272 * [backup-simplify]: Simplify (+ 0 0) into 0
5.272 * [backup-simplify]: Simplify (+ 0 0) into 0
5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.273 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.273 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.273 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.273 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
5.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.274 * [taylor]: Taking taylor expansion of y in y
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify (* 1 1) into 1
5.274 * [backup-simplify]: Simplify (/ 1 1) into 1
5.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.274 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.274 * [taylor]: Taking taylor expansion of x in y
5.274 * [backup-simplify]: Simplify x into x
5.274 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.274 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.274 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.274 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.274 * [taylor]: Taking taylor expansion of z in y
5.274 * [backup-simplify]: Simplify z into z
5.274 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.275 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.275 * [backup-simplify]: Simplify (+ 1 0) into 1
5.275 * [backup-simplify]: Simplify (sqrt 1) into 1
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.276 * [backup-simplify]: Simplify (+ 0 0) into 0
5.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.277 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.277 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.277 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.277 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.277 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
5.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.278 * [taylor]: Taking taylor expansion of y in y
5.278 * [backup-simplify]: Simplify 0 into 0
5.278 * [backup-simplify]: Simplify 1 into 1
5.278 * [backup-simplify]: Simplify (* 1 1) into 1
5.278 * [backup-simplify]: Simplify (/ 1 1) into 1
5.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.278 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.278 * [taylor]: Taking taylor expansion of x in y
5.279 * [backup-simplify]: Simplify x into x
5.279 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.279 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.279 * [taylor]: Taking taylor expansion of z in y
5.279 * [backup-simplify]: Simplify z into z
5.279 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.279 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.279 * [backup-simplify]: Simplify (+ 1 0) into 1
5.279 * [backup-simplify]: Simplify (sqrt 1) into 1
5.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.281 * [backup-simplify]: Simplify (+ 0 0) into 0
5.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.281 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.281 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.281 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.282 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
5.282 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.282 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.282 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.283 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.287 * [taylor]: Taking taylor expansion of 0 in z
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.287 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.287 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.288 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.290 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.290 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.291 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
5.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
5.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in z
5.292 * [taylor]: Taking taylor expansion of 1/2 in z
5.292 * [backup-simplify]: Simplify 1/2 into 1/2
5.292 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
5.292 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.292 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.293 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.293 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.293 * [taylor]: Taking taylor expansion of x in z
5.293 * [backup-simplify]: Simplify x into x
5.293 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.294 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
5.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
5.294 * [taylor]: Taking taylor expansion of 1/2 in z
5.294 * [backup-simplify]: Simplify 1/2 into 1/2
5.294 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
5.294 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.294 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.294 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.294 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.294 * [taylor]: Taking taylor expansion of z in z
5.294 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 1 into 1
5.295 * [backup-simplify]: Simplify (* 1 1) into 1
5.295 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.297 * [backup-simplify]: Simplify (+ 0 0) into 0
5.297 * [taylor]: Taking taylor expansion of 0 in x
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [taylor]: Taking taylor expansion of 0 in x
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [taylor]: Taking taylor expansion of 0 in x
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.299 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.300 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.300 * [backup-simplify]: Simplify (+ 0 0) into 0
5.300 * [backup-simplify]: Simplify (+ 0 0) into 0
5.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.302 * [taylor]: Taking taylor expansion of 0 in z
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
5.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
5.305 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
5.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
5.305 * [taylor]: Taking taylor expansion of 1/2 in x
5.305 * [backup-simplify]: Simplify 1/2 into 1/2
5.305 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
5.305 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.305 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.305 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.306 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.306 * [taylor]: Taking taylor expansion of x in x
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 1 into 1
5.306 * [backup-simplify]: Simplify (* 1 1) into 1
5.307 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.309 * [backup-simplify]: Simplify 0 into 0
5.310 * [taylor]: Taking taylor expansion of 0 in x
5.310 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.311 * [taylor]: Taking taylor expansion of 0 in x
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.315 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.316 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.319 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
5.322 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in z
5.322 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in z
5.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in z
5.322 * [taylor]: Taking taylor expansion of 1/4 in z
5.322 * [backup-simplify]: Simplify 1/4 into 1/4
5.322 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in z
5.322 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.322 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.323 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.323 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
5.323 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.323 * [taylor]: Taking taylor expansion of x in z
5.323 * [backup-simplify]: Simplify x into x
5.323 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.324 * [taylor]: Taking taylor expansion of z in z
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.324 * [backup-simplify]: Simplify (* 1 1) into 1
5.324 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.325 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
5.325 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in z
5.325 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in z
5.325 * [taylor]: Taking taylor expansion of 1/8 in z
5.325 * [backup-simplify]: Simplify 1/8 into 1/8
5.325 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in z
5.325 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.325 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.325 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.326 * [taylor]: Taking taylor expansion of (pow z 4) in z
5.326 * [taylor]: Taking taylor expansion of z in z
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify 1 into 1
5.326 * [backup-simplify]: Simplify (* 1 1) into 1
5.327 * [backup-simplify]: Simplify (* 1 1) into 1
5.328 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.328 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in z
5.328 * [taylor]: Taking taylor expansion of 1/8 in z
5.328 * [backup-simplify]: Simplify 1/8 into 1/8
5.328 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in z
5.328 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.328 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.328 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.328 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.329 * [taylor]: Taking taylor expansion of (pow x 4) in z
5.329 * [taylor]: Taking taylor expansion of x in z
5.329 * [backup-simplify]: Simplify x into x
5.329 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.329 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
5.330 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 4)) into (/ (sqrt 0.3333333333333333) (pow x 4))
5.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.331 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.331 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.332 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
5.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
5.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.342 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.342 * [backup-simplify]: Simplify (+ 0 0) into 0
5.342 * [backup-simplify]: Simplify (+ 0 0) into 0
5.343 * [backup-simplify]: Simplify (- 0) into 0
5.343 * [taylor]: Taking taylor expansion of 0 in x
5.343 * [backup-simplify]: Simplify 0 into 0
5.343 * [taylor]: Taking taylor expansion of 0 in x
5.343 * [backup-simplify]: Simplify 0 into 0
5.343 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.343 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
5.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
5.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.347 * [backup-simplify]: Simplify (+ 0 0) into 0
5.347 * [taylor]: Taking taylor expansion of 0 in x
5.347 * [backup-simplify]: Simplify 0 into 0
5.347 * [taylor]: Taking taylor expansion of 0 in x
5.347 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.348 * [taylor]: Taking taylor expansion of 0 in x
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
5.350 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 y))))) into (* y (sqrt 0.3333333333333333))
5.352 * [backup-simplify]: Simplify (* (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
5.352 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y z x) around 0
5.352 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
5.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
5.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.352 * [taylor]: Taking taylor expansion of y in x
5.352 * [backup-simplify]: Simplify y into y
5.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.352 * [taylor]: Taking taylor expansion of x in x
5.352 * [backup-simplify]: Simplify 0 into 0
5.352 * [backup-simplify]: Simplify 1 into 1
5.352 * [backup-simplify]: Simplify (* 1 1) into 1
5.353 * [backup-simplify]: Simplify (/ 1 1) into 1
5.353 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.353 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.353 * [taylor]: Taking taylor expansion of z in x
5.353 * [backup-simplify]: Simplify z into z
5.353 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.353 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.353 * [backup-simplify]: Simplify (+ 1 0) into 1
5.353 * [backup-simplify]: Simplify (+ 0 1) into 1
5.354 * [backup-simplify]: Simplify (sqrt 1) into 1
5.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.355 * [backup-simplify]: Simplify (+ 0 0) into 0
5.355 * [backup-simplify]: Simplify (+ 0 0) into 0
5.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.355 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.355 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.356 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.356 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
5.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
5.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.356 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.356 * [taylor]: Taking taylor expansion of y in z
5.356 * [backup-simplify]: Simplify y into y
5.356 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.356 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.356 * [taylor]: Taking taylor expansion of x in z
5.356 * [backup-simplify]: Simplify x into x
5.356 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.357 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.357 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.357 * [taylor]: Taking taylor expansion of z in z
5.357 * [backup-simplify]: Simplify 0 into 0
5.357 * [backup-simplify]: Simplify 1 into 1
5.357 * [backup-simplify]: Simplify (* 1 1) into 1
5.357 * [backup-simplify]: Simplify (/ 1 1) into 1
5.357 * [backup-simplify]: Simplify (+ 0 1) into 1
5.358 * [backup-simplify]: Simplify (+ 0 1) into 1
5.358 * [backup-simplify]: Simplify (sqrt 1) into 1
5.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.359 * [backup-simplify]: Simplify (+ 0 0) into 0
5.359 * [backup-simplify]: Simplify (+ 0 0) into 0
5.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.360 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.360 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.360 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.360 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
5.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.361 * [taylor]: Taking taylor expansion of y in y
5.361 * [backup-simplify]: Simplify 0 into 0
5.361 * [backup-simplify]: Simplify 1 into 1
5.361 * [backup-simplify]: Simplify (* 1 1) into 1
5.361 * [backup-simplify]: Simplify (/ 1 1) into 1
5.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.361 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.361 * [taylor]: Taking taylor expansion of x in y
5.361 * [backup-simplify]: Simplify x into x
5.361 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.361 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.361 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.361 * [taylor]: Taking taylor expansion of z in y
5.361 * [backup-simplify]: Simplify z into z
5.361 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.362 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.362 * [backup-simplify]: Simplify (+ 1 0) into 1
5.362 * [backup-simplify]: Simplify (sqrt 1) into 1
5.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.363 * [backup-simplify]: Simplify (+ 0 0) into 0
5.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.364 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.364 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.364 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.364 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.364 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
5.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
5.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.364 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.364 * [taylor]: Taking taylor expansion of y in y
5.364 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify 1 into 1
5.365 * [backup-simplify]: Simplify (* 1 1) into 1
5.365 * [backup-simplify]: Simplify (/ 1 1) into 1
5.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.365 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.365 * [taylor]: Taking taylor expansion of x in y
5.365 * [backup-simplify]: Simplify x into x
5.365 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.365 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.365 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.365 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.365 * [taylor]: Taking taylor expansion of z in y
5.365 * [backup-simplify]: Simplify z into z
5.365 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.365 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.366 * [backup-simplify]: Simplify (+ 1 0) into 1
5.366 * [backup-simplify]: Simplify (sqrt 1) into 1
5.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.367 * [backup-simplify]: Simplify (+ 0 0) into 0
5.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.368 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
5.368 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
5.368 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.368 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.370 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
5.370 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.370 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.370 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.370 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.372 * [taylor]: Taking taylor expansion of 0 in z
5.372 * [backup-simplify]: Simplify 0 into 0
5.372 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.372 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.372 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.372 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.377 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.377 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.378 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
5.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
5.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in z
5.380 * [taylor]: Taking taylor expansion of 1/2 in z
5.381 * [backup-simplify]: Simplify 1/2 into 1/2
5.381 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
5.381 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.381 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.381 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.382 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.382 * [taylor]: Taking taylor expansion of x in z
5.382 * [backup-simplify]: Simplify x into x
5.382 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.383 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
5.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
5.383 * [taylor]: Taking taylor expansion of 1/2 in z
5.383 * [backup-simplify]: Simplify 1/2 into 1/2
5.383 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
5.383 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.383 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.383 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.384 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.384 * [taylor]: Taking taylor expansion of z in z
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 1 into 1
5.384 * [backup-simplify]: Simplify (* 1 1) into 1
5.385 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.388 * [backup-simplify]: Simplify (+ 0 0) into 0
5.388 * [taylor]: Taking taylor expansion of 0 in x
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [taylor]: Taking taylor expansion of 0 in x
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [taylor]: Taking taylor expansion of 0 in x
5.388 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.393 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.393 * [backup-simplify]: Simplify (+ 0 0) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.396 * [taylor]: Taking taylor expansion of 0 in z
5.396 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
5.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
5.409 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
5.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
5.409 * [taylor]: Taking taylor expansion of 1/2 in x
5.409 * [backup-simplify]: Simplify 1/2 into 1/2
5.409 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
5.409 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
5.409 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
5.409 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.410 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.410 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.410 * [taylor]: Taking taylor expansion of x in x
5.410 * [backup-simplify]: Simplify 0 into 0
5.410 * [backup-simplify]: Simplify 1 into 1
5.411 * [backup-simplify]: Simplify (* 1 1) into 1
5.412 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
5.414 * [backup-simplify]: Simplify 0 into 0
5.414 * [taylor]: Taking taylor expansion of 0 in x
5.414 * [backup-simplify]: Simplify 0 into 0
5.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.415 * [taylor]: Taking taylor expansion of 0 in x
5.415 * [backup-simplify]: Simplify 0 into 0
5.415 * [backup-simplify]: Simplify 0 into 0
5.416 * [backup-simplify]: Simplify 0 into 0
5.416 * [backup-simplify]: Simplify 0 into 0
5.416 * [backup-simplify]: Simplify 0 into 0
5.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.420 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.421 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.424 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
5.427 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in z
5.427 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in z
5.427 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in z
5.427 * [taylor]: Taking taylor expansion of 1/4 in z
5.427 * [backup-simplify]: Simplify 1/4 into 1/4
5.427 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in z
5.427 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.427 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.427 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.428 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.428 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
5.428 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.428 * [taylor]: Taking taylor expansion of x in z
5.428 * [backup-simplify]: Simplify x into x
5.428 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.428 * [taylor]: Taking taylor expansion of z in z
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.429 * [backup-simplify]: Simplify (* 1 1) into 1
5.429 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.430 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
5.430 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in z
5.430 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in z
5.430 * [taylor]: Taking taylor expansion of 1/8 in z
5.430 * [backup-simplify]: Simplify 1/8 into 1/8
5.430 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in z
5.430 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.430 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.430 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.430 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.431 * [taylor]: Taking taylor expansion of (pow z 4) in z
5.431 * [taylor]: Taking taylor expansion of z in z
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 1 into 1
5.431 * [backup-simplify]: Simplify (* 1 1) into 1
5.432 * [backup-simplify]: Simplify (* 1 1) into 1
5.433 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
5.433 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in z
5.433 * [taylor]: Taking taylor expansion of 1/8 in z
5.433 * [backup-simplify]: Simplify 1/8 into 1/8
5.433 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in z
5.433 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
5.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
5.433 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.433 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
5.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
5.434 * [taylor]: Taking taylor expansion of (pow x 4) in z
5.434 * [taylor]: Taking taylor expansion of x in z
5.434 * [backup-simplify]: Simplify x into x
5.434 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.434 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
5.435 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 4)) into (/ (sqrt 0.3333333333333333) (pow x 4))
5.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.436 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.436 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.437 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
5.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
5.441 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
5.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.452 * [backup-simplify]: Simplify (+ 0 0) into 0
5.453 * [backup-simplify]: Simplify (+ 0 0) into 0
5.453 * [backup-simplify]: Simplify (- 0) into 0
5.453 * [taylor]: Taking taylor expansion of 0 in x
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [taylor]: Taking taylor expansion of 0 in x
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.454 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
5.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
5.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
5.461 * [backup-simplify]: Simplify (+ 0 0) into 0
5.461 * [taylor]: Taking taylor expansion of 0 in x
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [taylor]: Taking taylor expansion of 0 in x
5.461 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
5.462 * [taylor]: Taking taylor expansion of 0 in x
5.462 * [backup-simplify]: Simplify 0 into 0
5.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
5.467 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 (* y (sqrt 0.3333333333333333)))
5.468 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
5.468 * [backup-simplify]: Simplify (+ (+ (pow y 2) (* z z)) (* x x)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.468 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (y z x) around 0
5.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
5.468 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.468 * [taylor]: Taking taylor expansion of y in x
5.468 * [backup-simplify]: Simplify y into y
5.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
5.468 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.468 * [taylor]: Taking taylor expansion of x in x
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 1 into 1
5.468 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.468 * [taylor]: Taking taylor expansion of z in x
5.468 * [backup-simplify]: Simplify z into z
5.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
5.468 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.468 * [taylor]: Taking taylor expansion of y in z
5.468 * [backup-simplify]: Simplify y into y
5.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.468 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.468 * [taylor]: Taking taylor expansion of x in z
5.469 * [backup-simplify]: Simplify x into x
5.469 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.469 * [taylor]: Taking taylor expansion of z in z
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.469 * [taylor]: Taking taylor expansion of y in y
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.469 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.469 * [taylor]: Taking taylor expansion of x in y
5.469 * [backup-simplify]: Simplify x into x
5.469 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.469 * [taylor]: Taking taylor expansion of z in y
5.469 * [backup-simplify]: Simplify z into z
5.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.469 * [taylor]: Taking taylor expansion of y in y
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.469 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.469 * [taylor]: Taking taylor expansion of x in y
5.469 * [backup-simplify]: Simplify x into x
5.469 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.469 * [taylor]: Taking taylor expansion of z in y
5.469 * [backup-simplify]: Simplify z into z
5.469 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.469 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.470 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.470 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
5.470 * [taylor]: Taking taylor expansion of (+ (pow z 2) (pow x 2)) in z
5.470 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.470 * [taylor]: Taking taylor expansion of z in z
5.470 * [backup-simplify]: Simplify 0 into 0
5.470 * [backup-simplify]: Simplify 1 into 1
5.470 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.470 * [taylor]: Taking taylor expansion of x in z
5.470 * [backup-simplify]: Simplify x into x
5.470 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.470 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.470 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.470 * [taylor]: Taking taylor expansion of x in x
5.471 * [backup-simplify]: Simplify 0 into 0
5.471 * [backup-simplify]: Simplify 1 into 1
5.471 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.471 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.471 * [backup-simplify]: Simplify (+ 0 0) into 0
5.472 * [backup-simplify]: Simplify (+ 0 0) into 0
5.472 * [taylor]: Taking taylor expansion of 0 in z
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [taylor]: Taking taylor expansion of 0 in x
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.472 * [backup-simplify]: Simplify (+ 0 0) into 0
5.472 * [taylor]: Taking taylor expansion of 0 in x
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.473 * [backup-simplify]: Simplify (* 1 1) into 1
5.473 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.474 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.474 * [backup-simplify]: Simplify (+ 0 0) into 0
5.475 * [backup-simplify]: Simplify (+ 1 0) into 1
5.475 * [taylor]: Taking taylor expansion of 1 in z
5.475 * [backup-simplify]: Simplify 1 into 1
5.475 * [taylor]: Taking taylor expansion of 1 in x
5.475 * [backup-simplify]: Simplify 1 into 1
5.475 * [backup-simplify]: Simplify 1 into 1
5.475 * [taylor]: Taking taylor expansion of 0 in x
5.475 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify (* 1 1) into 1
5.476 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.476 * [backup-simplify]: Simplify (+ 1 0) into 1
5.476 * [taylor]: Taking taylor expansion of 1 in x
5.476 * [backup-simplify]: Simplify 1 into 1
5.476 * [backup-simplify]: Simplify 1 into 1
5.476 * [backup-simplify]: Simplify 0 into 0
5.476 * [backup-simplify]: Simplify 0 into 0
5.476 * [backup-simplify]: Simplify (* 1 1) into 1
5.477 * [backup-simplify]: Simplify 1 into 1
5.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* x (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* z 1)) 2)) (* 1 (pow (* 1 (* 1 y)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.478 * [backup-simplify]: Simplify (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.478 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y z x) around 0
5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.478 * [taylor]: Taking taylor expansion of y in x
5.478 * [backup-simplify]: Simplify y into y
5.478 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.478 * [taylor]: Taking taylor expansion of x in x
5.478 * [backup-simplify]: Simplify 0 into 0
5.478 * [backup-simplify]: Simplify 1 into 1
5.479 * [backup-simplify]: Simplify (* 1 1) into 1
5.479 * [backup-simplify]: Simplify (/ 1 1) into 1
5.479 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.479 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.479 * [taylor]: Taking taylor expansion of z in x
5.479 * [backup-simplify]: Simplify z into z
5.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.479 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.479 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.479 * [taylor]: Taking taylor expansion of y in z
5.479 * [backup-simplify]: Simplify y into y
5.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.480 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.480 * [taylor]: Taking taylor expansion of x in z
5.480 * [backup-simplify]: Simplify x into x
5.480 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.480 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.480 * [taylor]: Taking taylor expansion of z in z
5.480 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify 1 into 1
5.480 * [backup-simplify]: Simplify (* 1 1) into 1
5.481 * [backup-simplify]: Simplify (/ 1 1) into 1
5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.481 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.481 * [taylor]: Taking taylor expansion of y in y
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [backup-simplify]: Simplify (* 1 1) into 1
5.482 * [backup-simplify]: Simplify (/ 1 1) into 1
5.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.482 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.482 * [taylor]: Taking taylor expansion of x in y
5.482 * [backup-simplify]: Simplify x into x
5.482 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.482 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.482 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.482 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.482 * [taylor]: Taking taylor expansion of z in y
5.482 * [backup-simplify]: Simplify z into z
5.482 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.482 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.482 * [taylor]: Taking taylor expansion of y in y
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.483 * [backup-simplify]: Simplify (* 1 1) into 1
5.483 * [backup-simplify]: Simplify (/ 1 1) into 1
5.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.483 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.483 * [taylor]: Taking taylor expansion of x in y
5.483 * [backup-simplify]: Simplify x into x
5.483 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.483 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.483 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.483 * [taylor]: Taking taylor expansion of z in y
5.483 * [backup-simplify]: Simplify z into z
5.484 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.484 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.484 * [backup-simplify]: Simplify (+ 1 0) into 1
5.484 * [taylor]: Taking taylor expansion of 1 in z
5.484 * [backup-simplify]: Simplify 1 into 1
5.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.486 * [backup-simplify]: Simplify (+ 0 0) into 0
5.486 * [taylor]: Taking taylor expansion of 0 in z
5.486 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.488 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.488 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.488 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.488 * [taylor]: Taking taylor expansion of x in z
5.488 * [backup-simplify]: Simplify x into x
5.488 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.488 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.488 * [taylor]: Taking taylor expansion of z in z
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.489 * [backup-simplify]: Simplify (* 1 1) into 1
5.489 * [backup-simplify]: Simplify (/ 1 1) into 1
5.490 * [backup-simplify]: Simplify (+ 0 1) into 1
5.490 * [taylor]: Taking taylor expansion of 1 in x
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [taylor]: Taking taylor expansion of 1 in x
5.490 * [backup-simplify]: Simplify 1 into 1
5.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.492 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [taylor]: Taking taylor expansion of 0 in z
5.493 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (+ 0 0) into 0
5.495 * [taylor]: Taking taylor expansion of 0 in x
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [taylor]: Taking taylor expansion of 0 in x
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [taylor]: Taking taylor expansion of 0 in x
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.497 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.498 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.499 * [taylor]: Taking taylor expansion of 0 in z
5.499 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.501 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.501 * [taylor]: Taking taylor expansion of x in x
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 1 into 1
5.501 * [backup-simplify]: Simplify (* 1 1) into 1
5.502 * [backup-simplify]: Simplify (/ 1 1) into 1
5.502 * [backup-simplify]: Simplify 1 into 1
5.502 * [taylor]: Taking taylor expansion of 0 in x
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [taylor]: Taking taylor expansion of 0 in x
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify 1 into 1
5.502 * [backup-simplify]: Simplify 1 into 1
5.503 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 y)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 z)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.504 * [backup-simplify]: Simplify (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.504 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (y z x) around 0
5.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.504 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.504 * [taylor]: Taking taylor expansion of y in x
5.504 * [backup-simplify]: Simplify y into y
5.504 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.504 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.504 * [taylor]: Taking taylor expansion of x in x
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [backup-simplify]: Simplify (* 1 1) into 1
5.505 * [backup-simplify]: Simplify (/ 1 1) into 1
5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.505 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.505 * [taylor]: Taking taylor expansion of z in x
5.505 * [backup-simplify]: Simplify z into z
5.505 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.505 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.505 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.505 * [taylor]: Taking taylor expansion of y in z
5.505 * [backup-simplify]: Simplify y into y
5.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.505 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.506 * [taylor]: Taking taylor expansion of x in z
5.506 * [backup-simplify]: Simplify x into x
5.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.506 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.506 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.506 * [taylor]: Taking taylor expansion of z in z
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (* 1 1) into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.507 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.507 * [taylor]: Taking taylor expansion of y in y
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (* 1 1) into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.507 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.508 * [taylor]: Taking taylor expansion of x in y
5.508 * [backup-simplify]: Simplify x into x
5.508 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.508 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.508 * [taylor]: Taking taylor expansion of z in y
5.508 * [backup-simplify]: Simplify z into z
5.508 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.508 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.508 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.508 * [taylor]: Taking taylor expansion of y in y
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 1 into 1
5.508 * [backup-simplify]: Simplify (* 1 1) into 1
5.509 * [backup-simplify]: Simplify (/ 1 1) into 1
5.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.509 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.509 * [taylor]: Taking taylor expansion of x in y
5.509 * [backup-simplify]: Simplify x into x
5.509 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.509 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.509 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.509 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.509 * [taylor]: Taking taylor expansion of z in y
5.509 * [backup-simplify]: Simplify z into z
5.509 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.509 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.510 * [backup-simplify]: Simplify (+ 1 0) into 1
5.510 * [taylor]: Taking taylor expansion of 1 in z
5.510 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (+ 0 0) into 0
5.512 * [taylor]: Taking taylor expansion of 0 in z
5.512 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.514 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.514 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
5.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.514 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.514 * [taylor]: Taking taylor expansion of x in z
5.514 * [backup-simplify]: Simplify x into x
5.514 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.515 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.515 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.515 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.515 * [taylor]: Taking taylor expansion of z in z
5.515 * [backup-simplify]: Simplify 0 into 0
5.515 * [backup-simplify]: Simplify 1 into 1
5.515 * [backup-simplify]: Simplify (* 1 1) into 1
5.515 * [backup-simplify]: Simplify (/ 1 1) into 1
5.516 * [backup-simplify]: Simplify (+ 0 1) into 1
5.516 * [taylor]: Taking taylor expansion of 1 in x
5.516 * [backup-simplify]: Simplify 1 into 1
5.516 * [taylor]: Taking taylor expansion of 1 in x
5.516 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.518 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.519 * [backup-simplify]: Simplify (+ 0 0) into 0
5.519 * [backup-simplify]: Simplify (+ 0 0) into 0
5.519 * [taylor]: Taking taylor expansion of 0 in z
5.519 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 0) into 0
5.521 * [taylor]: Taking taylor expansion of 0 in x
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [taylor]: Taking taylor expansion of 0 in x
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [taylor]: Taking taylor expansion of 0 in x
5.521 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.524 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.524 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
5.525 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [taylor]: Taking taylor expansion of 0 in z
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.527 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.527 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.528 * [taylor]: Taking taylor expansion of x in x
5.528 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify 1 into 1
5.528 * [backup-simplify]: Simplify (* 1 1) into 1
5.528 * [backup-simplify]: Simplify (/ 1 1) into 1
5.528 * [backup-simplify]: Simplify 1 into 1
5.528 * [taylor]: Taking taylor expansion of 0 in x
5.528 * [backup-simplify]: Simplify 0 into 0
5.528 * [taylor]: Taking taylor expansion of 0 in x
5.528 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.529 * [backup-simplify]: Simplify 1 into 1
5.530 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- y))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- z))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.530 * * * [progress]: simplifying candidates
5.532 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt 1)
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x))))
  (sqrt (- (+ (pow y 2) (* z z)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (+ (+ (pow y 2) (* z z)) (* x x)) (/ 1 3.0))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))
  (* (+ (+ (pow y 2) (* z z)) (* x x)) (/ 1 3.0))
  (+ (log (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (log (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (* (+ (+ (pow y 2) (* z z)) (* x x)) (/ 1 3.0))
  (sqrt (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))
  (* (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3))) (sqrt 1))
  (* (sqrt (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x))))) (sqrt 3.0))
  (* (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x)))) (sqrt 1))
  (* (sqrt (- (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 1)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 1))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 1))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 1)
  (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 3.0)))
  (* (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 1))
  (* (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x)))) (sqrt (/ 1 3.0)))
  (* (* (exp (pow y 2)) (exp (* z z))) (exp (* x x)))
  (* (exp (+ (pow y 2) (* z z))) (exp (* x x)))
  (log (+ (+ (pow y 2) (* z z)) (* x x)))
  (exp (+ (+ (pow y 2) (* z z)) (* x x)))
  (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (* (* (+ (+ (pow y 2) (* z z)) (* x x)) (+ (+ (pow y 2) (* z z)) (* x x))) (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3))
  (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x))))
  (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x)))
  (- (+ (pow y 2) (* z z)) (* x x))
  (+ (* z z) (* x x))
  x
  y
  (* -1 y)
  (* x (sqrt 0.3333333333333333))
  (* y (sqrt 0.3333333333333333))
  (* -1 (* y (sqrt 0.3333333333333333)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.535 * * [simplify]: iteration 0: 134 enodes
5.594 * * [simplify]: iteration 1: 308 enodes
5.744 * * [simplify]: iteration 2: 1597 enodes
6.499 * * [simplify]: iteration complete: 5002 enodes
6.500 * * [simplify]: Extracting #0: cost 54 inf + 0
6.501 * * [simplify]: Extracting #1: cost 608 inf + 4
6.505 * * [simplify]: Extracting #2: cost 1593 inf + 122
6.515 * * [simplify]: Extracting #3: cost 1824 inf + 1373
6.528 * * [simplify]: Extracting #4: cost 809 inf + 16872
6.538 * * [simplify]: Extracting #5: cost 69 inf + 32429
6.549 * * [simplify]: Extracting #6: cost 6 inf + 33056
6.556 * * [simplify]: Extracting #7: cost 0 inf + 33114
6.564 * [simplify]: Simplified to:
  (log (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (sqrt (+ (pow x 6) (pow (+ (* y y) (pow z 2)) 3)))
  (sqrt (+ (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (- (pow x 4) (* (+ (* y y) (pow z 2)) (* x x)))))
  (sqrt (- (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (pow x 4)))
  (sqrt (+ (pow z 2) (- (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (/ (+ (pow z 2) (+ (* y y) (* x x))) 3.0)
  (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0)))
  (/ (+ (pow z 2) (+ (* y y) (* x x))) 3.0)
  (log (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))))
  (pow (exp (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (/ 1 3.0)))
  (pow (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))) 3)
  (* (cbrt (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))))
  (pow (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))) 3)
  (/ (+ (pow z 2) (+ (* y y) (* x x))) 3.0)
  (sqrt (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0))))
  (sqrt (+ (pow x 6) (pow (+ (* y y) (pow z 2)) 3)))
  (* (sqrt 3.0) (sqrt (+ (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (- (pow x 4) (* (+ (* y y) (pow z 2)) (* x x))))))
  (sqrt (- (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (pow x 4)))
  (* (sqrt (+ (pow z 2) (- (* y y) (* x x)))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (sqrt (/ 1 3.0))))
  (* (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (fabs (cbrt (/ 1 3.0))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (* (sqrt (/ 1 3.0)) (cbrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (/ 1 3.0)) (sqrt (cbrt (+ (pow z 2) (+ (* y y) (* x x))))))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (pow z 2) (+ (* y y) (* x x))))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (pow z 2) (+ (* y y) (* x x)))) (sqrt (/ 1 3.0)))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (* (sqrt (+ (pow x 6) (pow (+ (* y y) (pow z 2)) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (/ 1 3.0)) (sqrt (- (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (pow x 4))))
  (exp (+ (+ (pow z 2) (* y y)) (* x x)))
  (exp (+ (+ (pow z 2) (* y y)) (* x x)))
  (log (+ (pow z 2) (+ (* y y) (* x x))))
  (exp (+ (+ (pow z 2) (* y y)) (* x x)))
  (* (cbrt (+ (pow z 2) (+ (* y y) (* x x)))) (cbrt (+ (pow z 2) (+ (* y y) (* x x)))))
  (cbrt (+ (pow z 2) (+ (* y y) (* x x))))
  (pow (+ (pow z 2) (+ (* y y) (* x x))) 3)
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (sqrt (+ (pow z 2) (+ (* y y) (* x x))))
  (+ (pow x 6) (pow (+ (* y y) (pow z 2)) 3))
  (+ (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (- (pow x 4) (* (+ (* y y) (pow z 2)) (* x x))))
  (- (* (+ (* y y) (pow z 2)) (+ (* y y) (pow z 2))) (pow x 4))
  (+ (pow z 2) (- (* y y) (* x x)))
  (+ (* x x) (pow z 2))
  x
  y
  (- y)
  (* x (sqrt 0.3333333333333333))
  (* y (sqrt 0.3333333333333333))
  (- (* (sqrt 0.3333333333333333) y))
  (+ (pow z 2) (+ (* y y) (* x x)))
  (+ (pow z 2) (+ (* y y) (* x x)))
  (+ (pow z 2) (+ (* y y) (* x x)))
6.566 * * * [progress]: adding candidates to table
7.112 * * [progress]: iteration 4 / 4
7.112 * * * [progress]: picking best candidate
7.157 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))>
7.157 * * * [progress]: localizing error
7.182 * * * [progress]: generating rewritten candidates
7.182 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
7.254 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
7.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.577 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.641 * * * [progress]: generating series expansions
7.641 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
7.642 * [backup-simplify]: Simplify (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.642 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (y z x) around 0
7.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.642 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.642 * [taylor]: Taking taylor expansion of y in x
7.642 * [backup-simplify]: Simplify y into y
7.642 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.642 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.642 * [taylor]: Taking taylor expansion of x in x
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 1 into 1
7.642 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.642 * [taylor]: Taking taylor expansion of z in x
7.642 * [backup-simplify]: Simplify z into z
7.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.642 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.642 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.642 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.642 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.642 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.642 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.643 * [backup-simplify]: Simplify (+ 0 0) into 0
7.643 * [backup-simplify]: Simplify (+ 0 0) into 0
7.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.644 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.644 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.644 * [taylor]: Taking taylor expansion of y in z
7.644 * [backup-simplify]: Simplify y into y
7.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.644 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.644 * [taylor]: Taking taylor expansion of x in z
7.644 * [backup-simplify]: Simplify x into x
7.644 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.644 * [taylor]: Taking taylor expansion of z in z
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify 1 into 1
7.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.644 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.644 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.644 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.644 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.644 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.644 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.645 * [backup-simplify]: Simplify (+ 0 0) into 0
7.645 * [backup-simplify]: Simplify (+ 0 0) into 0
7.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.645 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.645 * [taylor]: Taking taylor expansion of y in y
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.645 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.645 * [taylor]: Taking taylor expansion of x in y
7.645 * [backup-simplify]: Simplify x into x
7.645 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.645 * [taylor]: Taking taylor expansion of z in y
7.645 * [backup-simplify]: Simplify z into z
7.645 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.645 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.645 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.646 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.646 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.646 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.646 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.646 * [backup-simplify]: Simplify (+ 0 0) into 0
7.646 * [backup-simplify]: Simplify (+ 0 0) into 0
7.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.647 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.647 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.647 * [taylor]: Taking taylor expansion of y in y
7.647 * [backup-simplify]: Simplify 0 into 0
7.647 * [backup-simplify]: Simplify 1 into 1
7.647 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.647 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.647 * [taylor]: Taking taylor expansion of x in y
7.647 * [backup-simplify]: Simplify x into x
7.647 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.647 * [taylor]: Taking taylor expansion of z in y
7.647 * [backup-simplify]: Simplify z into z
7.647 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.647 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.647 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.647 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.647 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.647 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.647 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.648 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
7.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.648 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.648 * [taylor]: Taking taylor expansion of x in z
7.648 * [backup-simplify]: Simplify x into x
7.648 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.648 * [taylor]: Taking taylor expansion of z in z
7.648 * [backup-simplify]: Simplify 0 into 0
7.648 * [backup-simplify]: Simplify 1 into 1
7.648 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.648 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.649 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.649 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.649 * [backup-simplify]: Simplify (+ 0 0) into 0
7.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.649 * [taylor]: Taking taylor expansion of x in x
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 1 into 1
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [taylor]: Taking taylor expansion of 0 in z
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [taylor]: Taking taylor expansion of 0 in x
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [taylor]: Taking taylor expansion of 0 in x
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 1 into 1
7.649 * [backup-simplify]: Simplify (* 1 1) into 1
7.650 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.650 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (+ 1 0) into 1
7.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
7.651 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in z
7.651 * [taylor]: Taking taylor expansion of 1/2 in z
7.651 * [backup-simplify]: Simplify 1/2 into 1/2
7.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
7.651 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
7.651 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.651 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.651 * [taylor]: Taking taylor expansion of x in z
7.651 * [backup-simplify]: Simplify x into x
7.651 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.651 * [taylor]: Taking taylor expansion of z in z
7.651 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify 1 into 1
7.651 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.652 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.652 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.652 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.652 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.652 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.652 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.652 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.652 * [taylor]: Taking taylor expansion of 1/2 in x
7.652 * [backup-simplify]: Simplify 1/2 into 1/2
7.652 * [taylor]: Taking taylor expansion of x in x
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 1 into 1
7.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [taylor]: Taking taylor expansion of 0 in x
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.654 * [backup-simplify]: Simplify (* 1 1) into 1
7.654 * [backup-simplify]: Simplify (+ 0 1) into 1
7.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.655 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.655 * [taylor]: Taking taylor expansion of 1/2 in x
7.655 * [backup-simplify]: Simplify 1/2 into 1/2
7.655 * [taylor]: Taking taylor expansion of x in x
7.655 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.655 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.656 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
7.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
7.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.656 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.656 * [taylor]: Taking taylor expansion of y in x
7.656 * [backup-simplify]: Simplify y into y
7.656 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.657 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.657 * [taylor]: Taking taylor expansion of x in x
7.657 * [backup-simplify]: Simplify 0 into 0
7.657 * [backup-simplify]: Simplify 1 into 1
7.657 * [backup-simplify]: Simplify (* 1 1) into 1
7.657 * [backup-simplify]: Simplify (/ 1 1) into 1
7.657 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.657 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.657 * [taylor]: Taking taylor expansion of z in x
7.657 * [backup-simplify]: Simplify z into z
7.657 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.657 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.658 * [backup-simplify]: Simplify (+ 1 0) into 1
7.658 * [backup-simplify]: Simplify (+ 0 1) into 1
7.658 * [backup-simplify]: Simplify (sqrt 1) into 1
7.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.659 * [backup-simplify]: Simplify (+ 0 0) into 0
7.660 * [backup-simplify]: Simplify (+ 0 0) into 0
7.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.660 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.660 * [taylor]: Taking taylor expansion of y in z
7.660 * [backup-simplify]: Simplify y into y
7.661 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.661 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.661 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.661 * [taylor]: Taking taylor expansion of x in z
7.661 * [backup-simplify]: Simplify x into x
7.661 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.661 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.661 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.661 * [taylor]: Taking taylor expansion of z in z
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [backup-simplify]: Simplify 1 into 1
7.662 * [backup-simplify]: Simplify (* 1 1) into 1
7.662 * [backup-simplify]: Simplify (/ 1 1) into 1
7.663 * [backup-simplify]: Simplify (+ 0 1) into 1
7.663 * [backup-simplify]: Simplify (+ 0 1) into 1
7.663 * [backup-simplify]: Simplify (sqrt 1) into 1
7.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.666 * [backup-simplify]: Simplify (+ 0 0) into 0
7.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.666 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.666 * [taylor]: Taking taylor expansion of y in y
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.667 * [backup-simplify]: Simplify (* 1 1) into 1
7.667 * [backup-simplify]: Simplify (/ 1 1) into 1
7.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.667 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.667 * [taylor]: Taking taylor expansion of x in y
7.667 * [backup-simplify]: Simplify x into x
7.667 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.668 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.668 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.668 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.668 * [taylor]: Taking taylor expansion of z in y
7.668 * [backup-simplify]: Simplify z into z
7.668 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.668 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.668 * [backup-simplify]: Simplify (+ 1 0) into 1
7.669 * [backup-simplify]: Simplify (sqrt 1) into 1
7.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.670 * [backup-simplify]: Simplify (+ 0 0) into 0
7.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.671 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.671 * [taylor]: Taking taylor expansion of y in y
7.671 * [backup-simplify]: Simplify 0 into 0
7.671 * [backup-simplify]: Simplify 1 into 1
7.672 * [backup-simplify]: Simplify (* 1 1) into 1
7.672 * [backup-simplify]: Simplify (/ 1 1) into 1
7.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.672 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.672 * [taylor]: Taking taylor expansion of x in y
7.672 * [backup-simplify]: Simplify x into x
7.672 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.673 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.673 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.673 * [taylor]: Taking taylor expansion of z in y
7.673 * [backup-simplify]: Simplify z into z
7.673 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.673 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.673 * [backup-simplify]: Simplify (+ 1 0) into 1
7.674 * [backup-simplify]: Simplify (sqrt 1) into 1
7.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (+ 0 0) into 0
7.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.677 * [taylor]: Taking taylor expansion of 1 in z
7.677 * [backup-simplify]: Simplify 1 into 1
7.677 * [taylor]: Taking taylor expansion of 0 in z
7.677 * [backup-simplify]: Simplify 0 into 0
7.677 * [taylor]: Taking taylor expansion of 1 in x
7.677 * [backup-simplify]: Simplify 1 into 1
7.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.680 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.680 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.681 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.681 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.681 * [taylor]: Taking taylor expansion of 1/2 in z
7.681 * [backup-simplify]: Simplify 1/2 into 1/2
7.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.682 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.682 * [taylor]: Taking taylor expansion of x in z
7.682 * [backup-simplify]: Simplify x into x
7.682 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.682 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.682 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.682 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.682 * [taylor]: Taking taylor expansion of z in z
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 1 into 1
7.682 * [backup-simplify]: Simplify (* 1 1) into 1
7.683 * [backup-simplify]: Simplify (/ 1 1) into 1
7.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [backup-simplify]: Simplify (+ 0 1) into 1
7.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.686 * [taylor]: Taking taylor expansion of 0 in x
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [taylor]: Taking taylor expansion of 0 in x
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [taylor]: Taking taylor expansion of 0 in x
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.688 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.688 * [backup-simplify]: Simplify (+ 0 0) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.689 * [taylor]: Taking taylor expansion of 0 in z
7.689 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.690 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.691 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.691 * [taylor]: Taking taylor expansion of 1/2 in x
7.691 * [backup-simplify]: Simplify 1/2 into 1/2
7.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.691 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.691 * [taylor]: Taking taylor expansion of x in x
7.691 * [backup-simplify]: Simplify 0 into 0
7.691 * [backup-simplify]: Simplify 1 into 1
7.691 * [backup-simplify]: Simplify (* 1 1) into 1
7.691 * [backup-simplify]: Simplify (/ 1 1) into 1
7.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [taylor]: Taking taylor expansion of 0 in x
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [taylor]: Taking taylor expansion of 0 in x
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.695 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.695 * [backup-simplify]: Simplify (+ 0 0) into 0
7.696 * [backup-simplify]: Simplify (+ 0 0) into 0
7.697 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
7.697 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
7.697 * [taylor]: Taking taylor expansion of -1/2 in z
7.697 * [backup-simplify]: Simplify -1/2 into -1/2
7.697 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
7.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.697 * [taylor]: Taking taylor expansion of 1/2 in z
7.697 * [backup-simplify]: Simplify 1/2 into 1/2
7.697 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.697 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.697 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.697 * [taylor]: Taking taylor expansion of x in z
7.697 * [backup-simplify]: Simplify x into x
7.697 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.697 * [taylor]: Taking taylor expansion of z in z
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.697 * [backup-simplify]: Simplify (* 1 1) into 1
7.697 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.697 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
7.697 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.697 * [taylor]: Taking taylor expansion of 1/4 in z
7.697 * [backup-simplify]: Simplify 1/4 into 1/4
7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.697 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.697 * [taylor]: Taking taylor expansion of x in z
7.697 * [backup-simplify]: Simplify x into x
7.698 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.698 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.698 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.698 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.698 * [taylor]: Taking taylor expansion of 1/4 in z
7.698 * [backup-simplify]: Simplify 1/4 into 1/4
7.698 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.698 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.698 * [taylor]: Taking taylor expansion of z in z
7.698 * [backup-simplify]: Simplify 0 into 0
7.698 * [backup-simplify]: Simplify 1 into 1
7.698 * [backup-simplify]: Simplify (* 1 1) into 1
7.698 * [backup-simplify]: Simplify (* 1 1) into 1
7.699 * [backup-simplify]: Simplify (/ 1 1) into 1
7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.699 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.699 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.705 * [backup-simplify]: Simplify (+ 0 0) into 0
7.706 * [backup-simplify]: Simplify (+ 0 0) into 0
7.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.707 * [backup-simplify]: Simplify (+ 0 0) into 0
7.707 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.707 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.707 * [backup-simplify]: Simplify (+ 0 0) into 0
7.708 * [backup-simplify]: Simplify (+ 0 0) into 0
7.708 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.708 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.708 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.712 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.712 * [taylor]: Taking taylor expansion of 0 in x
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [taylor]: Taking taylor expansion of 0 in x
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.714 * [backup-simplify]: Simplify (+ 0 0) into 0
7.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.715 * [taylor]: Taking taylor expansion of 0 in x
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [taylor]: Taking taylor expansion of 0 in x
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [taylor]: Taking taylor expansion of 0 in x
7.715 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.717 * [backup-simplify]: Simplify 0 into 0
7.717 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
7.717 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
7.717 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
7.717 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.717 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.718 * [taylor]: Taking taylor expansion of y in x
7.718 * [backup-simplify]: Simplify y into y
7.718 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.718 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.718 * [taylor]: Taking taylor expansion of x in x
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 1 into 1
7.718 * [backup-simplify]: Simplify (* 1 1) into 1
7.718 * [backup-simplify]: Simplify (/ 1 1) into 1
7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.718 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.718 * [taylor]: Taking taylor expansion of z in x
7.718 * [backup-simplify]: Simplify z into z
7.718 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.718 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.719 * [backup-simplify]: Simplify (+ 1 0) into 1
7.719 * [backup-simplify]: Simplify (+ 0 1) into 1
7.719 * [backup-simplify]: Simplify (sqrt 1) into 1
7.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.721 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.721 * [taylor]: Taking taylor expansion of y in z
7.721 * [backup-simplify]: Simplify y into y
7.721 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.721 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.721 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.721 * [taylor]: Taking taylor expansion of x in z
7.721 * [backup-simplify]: Simplify x into x
7.721 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.721 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.721 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.721 * [taylor]: Taking taylor expansion of z in z
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.722 * [backup-simplify]: Simplify (* 1 1) into 1
7.722 * [backup-simplify]: Simplify (/ 1 1) into 1
7.722 * [backup-simplify]: Simplify (+ 0 1) into 1
7.722 * [backup-simplify]: Simplify (+ 0 1) into 1
7.723 * [backup-simplify]: Simplify (sqrt 1) into 1
7.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.724 * [backup-simplify]: Simplify (+ 0 0) into 0
7.724 * [backup-simplify]: Simplify (+ 0 0) into 0
7.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.724 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.724 * [taylor]: Taking taylor expansion of y in y
7.724 * [backup-simplify]: Simplify 0 into 0
7.724 * [backup-simplify]: Simplify 1 into 1
7.725 * [backup-simplify]: Simplify (* 1 1) into 1
7.725 * [backup-simplify]: Simplify (/ 1 1) into 1
7.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.725 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.725 * [taylor]: Taking taylor expansion of x in y
7.725 * [backup-simplify]: Simplify x into x
7.725 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.725 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.725 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.725 * [taylor]: Taking taylor expansion of z in y
7.725 * [backup-simplify]: Simplify z into z
7.725 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.725 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.726 * [backup-simplify]: Simplify (+ 1 0) into 1
7.726 * [backup-simplify]: Simplify (sqrt 1) into 1
7.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.727 * [backup-simplify]: Simplify (+ 0 0) into 0
7.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.727 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.727 * [taylor]: Taking taylor expansion of y in y
7.727 * [backup-simplify]: Simplify 0 into 0
7.727 * [backup-simplify]: Simplify 1 into 1
7.728 * [backup-simplify]: Simplify (* 1 1) into 1
7.728 * [backup-simplify]: Simplify (/ 1 1) into 1
7.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.728 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.728 * [taylor]: Taking taylor expansion of x in y
7.728 * [backup-simplify]: Simplify x into x
7.728 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.728 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.728 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.728 * [taylor]: Taking taylor expansion of z in y
7.728 * [backup-simplify]: Simplify z into z
7.728 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.728 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.729 * [backup-simplify]: Simplify (+ 1 0) into 1
7.729 * [backup-simplify]: Simplify (sqrt 1) into 1
7.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.730 * [backup-simplify]: Simplify (+ 0 0) into 0
7.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.730 * [taylor]: Taking taylor expansion of 1 in z
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [taylor]: Taking taylor expansion of 0 in z
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [taylor]: Taking taylor expansion of 1 in x
7.730 * [backup-simplify]: Simplify 1 into 1
7.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.732 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.732 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.733 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.733 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.733 * [taylor]: Taking taylor expansion of 1/2 in z
7.733 * [backup-simplify]: Simplify 1/2 into 1/2
7.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.733 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.733 * [taylor]: Taking taylor expansion of x in z
7.733 * [backup-simplify]: Simplify x into x
7.733 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.733 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.733 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.733 * [taylor]: Taking taylor expansion of z in z
7.733 * [backup-simplify]: Simplify 0 into 0
7.733 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (* 1 1) into 1
7.734 * [backup-simplify]: Simplify (/ 1 1) into 1
7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ 0 0) into 0
7.735 * [backup-simplify]: Simplify (+ 0 1) into 1
7.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.736 * [taylor]: Taking taylor expansion of 0 in x
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [taylor]: Taking taylor expansion of 0 in x
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [taylor]: Taking taylor expansion of 0 in x
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 1 into 1
7.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.737 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.737 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.738 * [taylor]: Taking taylor expansion of 0 in z
7.738 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.740 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.740 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.740 * [taylor]: Taking taylor expansion of 1/2 in x
7.740 * [backup-simplify]: Simplify 1/2 into 1/2
7.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.740 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.740 * [taylor]: Taking taylor expansion of x in x
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify 1 into 1
7.740 * [backup-simplify]: Simplify (* 1 1) into 1
7.741 * [backup-simplify]: Simplify (/ 1 1) into 1
7.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [taylor]: Taking taylor expansion of 0 in x
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [taylor]: Taking taylor expansion of 0 in x
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.744 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.744 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.745 * [backup-simplify]: Simplify (+ 0 0) into 0
7.745 * [backup-simplify]: Simplify (+ 0 0) into 0
7.746 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
7.746 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
7.746 * [taylor]: Taking taylor expansion of -1/2 in z
7.746 * [backup-simplify]: Simplify -1/2 into -1/2
7.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
7.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.746 * [taylor]: Taking taylor expansion of 1/2 in z
7.746 * [backup-simplify]: Simplify 1/2 into 1/2
7.746 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.746 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.746 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.746 * [taylor]: Taking taylor expansion of x in z
7.746 * [backup-simplify]: Simplify x into x
7.746 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.746 * [taylor]: Taking taylor expansion of z in z
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.746 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.746 * [backup-simplify]: Simplify (* 1 1) into 1
7.747 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.747 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
7.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.747 * [taylor]: Taking taylor expansion of 1/4 in z
7.747 * [backup-simplify]: Simplify 1/4 into 1/4
7.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.747 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.747 * [taylor]: Taking taylor expansion of x in z
7.747 * [backup-simplify]: Simplify x into x
7.747 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.747 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.747 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.747 * [taylor]: Taking taylor expansion of 1/4 in z
7.747 * [backup-simplify]: Simplify 1/4 into 1/4
7.747 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.747 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.747 * [taylor]: Taking taylor expansion of z in z
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.747 * [backup-simplify]: Simplify (* 1 1) into 1
7.748 * [backup-simplify]: Simplify (* 1 1) into 1
7.748 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.748 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.749 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.755 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.756 * [backup-simplify]: Simplify (+ 0 0) into 0
7.756 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.756 * [backup-simplify]: Simplify (+ 0 0) into 0
7.757 * [backup-simplify]: Simplify (+ 0 0) into 0
7.757 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.757 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.757 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.758 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.758 * [taylor]: Taking taylor expansion of 0 in x
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [taylor]: Taking taylor expansion of 0 in x
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.761 * [taylor]: Taking taylor expansion of 0 in x
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [taylor]: Taking taylor expansion of 0 in x
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [taylor]: Taking taylor expansion of 0 in x
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
7.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
7.763 * [backup-simplify]: Simplify (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
7.763 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (y z x) around 0
7.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.763 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.763 * [taylor]: Taking taylor expansion of y in x
7.763 * [backup-simplify]: Simplify y into y
7.763 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.763 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.763 * [taylor]: Taking taylor expansion of x in x
7.763 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify 1 into 1
7.763 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.763 * [taylor]: Taking taylor expansion of z in x
7.763 * [backup-simplify]: Simplify z into z
7.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.763 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.763 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.763 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.763 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.763 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.764 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.764 * [backup-simplify]: Simplify (+ 0 0) into 0
7.764 * [backup-simplify]: Simplify (+ 0 0) into 0
7.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.764 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.764 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.764 * [taylor]: Taking taylor expansion of y in z
7.764 * [backup-simplify]: Simplify y into y
7.764 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.764 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.764 * [taylor]: Taking taylor expansion of x in z
7.764 * [backup-simplify]: Simplify x into x
7.764 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.764 * [taylor]: Taking taylor expansion of z in z
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 1 into 1
7.765 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.765 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.765 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.765 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.765 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.765 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.765 * [backup-simplify]: Simplify (+ 0 0) into 0
7.766 * [backup-simplify]: Simplify (+ 0 0) into 0
7.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.766 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.766 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.766 * [taylor]: Taking taylor expansion of y in y
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify 1 into 1
7.766 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.766 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.766 * [taylor]: Taking taylor expansion of x in y
7.766 * [backup-simplify]: Simplify x into x
7.766 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.766 * [taylor]: Taking taylor expansion of z in y
7.766 * [backup-simplify]: Simplify z into z
7.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.766 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.766 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.766 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.767 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.767 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.767 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.767 * [backup-simplify]: Simplify (+ 0 0) into 0
7.767 * [backup-simplify]: Simplify (+ 0 0) into 0
7.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.768 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.768 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.768 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.768 * [taylor]: Taking taylor expansion of y in y
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.768 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.768 * [taylor]: Taking taylor expansion of x in y
7.768 * [backup-simplify]: Simplify x into x
7.768 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.768 * [taylor]: Taking taylor expansion of z in y
7.768 * [backup-simplify]: Simplify z into z
7.768 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.768 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.768 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.769 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.769 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.769 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.769 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.770 * [backup-simplify]: Simplify (+ 0 0) into 0
7.770 * [backup-simplify]: Simplify (+ 0 0) into 0
7.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
7.771 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.771 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.771 * [taylor]: Taking taylor expansion of x in z
7.771 * [backup-simplify]: Simplify x into x
7.771 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.771 * [taylor]: Taking taylor expansion of z in z
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify 1 into 1
7.771 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.771 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.771 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.771 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.772 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.772 * [taylor]: Taking taylor expansion of x in x
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 1 into 1
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [taylor]: Taking taylor expansion of 0 in z
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [taylor]: Taking taylor expansion of 0 in x
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [taylor]: Taking taylor expansion of 0 in x
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 1 into 1
7.773 * [backup-simplify]: Simplify (* 1 1) into 1
7.773 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.774 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.774 * [backup-simplify]: Simplify (+ 0 0) into 0
7.774 * [backup-simplify]: Simplify (+ 1 0) into 1
7.775 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
7.775 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in z
7.776 * [taylor]: Taking taylor expansion of 1/2 in z
7.776 * [backup-simplify]: Simplify 1/2 into 1/2
7.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
7.776 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
7.776 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.776 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.776 * [taylor]: Taking taylor expansion of x in z
7.776 * [backup-simplify]: Simplify x into x
7.776 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.776 * [taylor]: Taking taylor expansion of z in z
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify 1 into 1
7.776 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.776 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.776 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.776 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.776 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.777 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.777 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.777 * [taylor]: Taking taylor expansion of 1/2 in x
7.777 * [backup-simplify]: Simplify 1/2 into 1/2
7.777 * [taylor]: Taking taylor expansion of x in x
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [taylor]: Taking taylor expansion of 0 in x
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.780 * [backup-simplify]: Simplify (* 1 1) into 1
7.780 * [backup-simplify]: Simplify (+ 0 1) into 1
7.781 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.781 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.781 * [taylor]: Taking taylor expansion of 1/2 in x
7.781 * [backup-simplify]: Simplify 1/2 into 1/2
7.781 * [taylor]: Taking taylor expansion of x in x
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify 1 into 1
7.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.783 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
7.783 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
7.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.783 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.783 * [taylor]: Taking taylor expansion of y in x
7.783 * [backup-simplify]: Simplify y into y
7.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.784 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.784 * [taylor]: Taking taylor expansion of x in x
7.784 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify 1 into 1
7.785 * [backup-simplify]: Simplify (* 1 1) into 1
7.785 * [backup-simplify]: Simplify (/ 1 1) into 1
7.785 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.785 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.785 * [taylor]: Taking taylor expansion of z in x
7.785 * [backup-simplify]: Simplify z into z
7.785 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.786 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.786 * [backup-simplify]: Simplify (+ 1 0) into 1
7.787 * [backup-simplify]: Simplify (+ 0 1) into 1
7.787 * [backup-simplify]: Simplify (sqrt 1) into 1
7.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (+ 0 0) into 0
7.789 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.790 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.790 * [taylor]: Taking taylor expansion of y in z
7.790 * [backup-simplify]: Simplify y into y
7.790 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.791 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.791 * [taylor]: Taking taylor expansion of x in z
7.791 * [backup-simplify]: Simplify x into x
7.791 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.791 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.791 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.791 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.791 * [taylor]: Taking taylor expansion of z in z
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (* 1 1) into 1
7.792 * [backup-simplify]: Simplify (/ 1 1) into 1
7.793 * [backup-simplify]: Simplify (+ 0 1) into 1
7.793 * [backup-simplify]: Simplify (+ 0 1) into 1
7.793 * [backup-simplify]: Simplify (sqrt 1) into 1
7.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.797 * [backup-simplify]: Simplify (+ 0 0) into 0
7.798 * [backup-simplify]: Simplify (+ 0 0) into 0
7.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.799 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.799 * [taylor]: Taking taylor expansion of y in y
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 1 into 1
7.799 * [backup-simplify]: Simplify (* 1 1) into 1
7.800 * [backup-simplify]: Simplify (/ 1 1) into 1
7.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.800 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.800 * [taylor]: Taking taylor expansion of x in y
7.800 * [backup-simplify]: Simplify x into x
7.800 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.800 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.800 * [taylor]: Taking taylor expansion of z in y
7.800 * [backup-simplify]: Simplify z into z
7.801 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.801 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.801 * [backup-simplify]: Simplify (+ 1 0) into 1
7.802 * [backup-simplify]: Simplify (sqrt 1) into 1
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.804 * [taylor]: Taking taylor expansion of y in y
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify 1 into 1
7.805 * [backup-simplify]: Simplify (* 1 1) into 1
7.805 * [backup-simplify]: Simplify (/ 1 1) into 1
7.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.805 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.805 * [taylor]: Taking taylor expansion of x in y
7.805 * [backup-simplify]: Simplify x into x
7.805 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.806 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.806 * [taylor]: Taking taylor expansion of z in y
7.806 * [backup-simplify]: Simplify z into z
7.806 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.806 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.806 * [backup-simplify]: Simplify (+ 1 0) into 1
7.807 * [backup-simplify]: Simplify (sqrt 1) into 1
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.809 * [taylor]: Taking taylor expansion of 1 in z
7.809 * [backup-simplify]: Simplify 1 into 1
7.809 * [taylor]: Taking taylor expansion of 0 in z
7.809 * [backup-simplify]: Simplify 0 into 0
7.809 * [taylor]: Taking taylor expansion of 1 in x
7.809 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.812 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.812 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.813 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.813 * [taylor]: Taking taylor expansion of 1/2 in z
7.814 * [backup-simplify]: Simplify 1/2 into 1/2
7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.814 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.814 * [taylor]: Taking taylor expansion of x in z
7.814 * [backup-simplify]: Simplify x into x
7.814 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.814 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.814 * [taylor]: Taking taylor expansion of z in z
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (* 1 1) into 1
7.815 * [backup-simplify]: Simplify (/ 1 1) into 1
7.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.817 * [backup-simplify]: Simplify (+ 0 0) into 0
7.817 * [backup-simplify]: Simplify (+ 0 1) into 1
7.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.818 * [taylor]: Taking taylor expansion of 0 in x
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [taylor]: Taking taylor expansion of 0 in x
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [taylor]: Taking taylor expansion of 0 in x
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.821 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.823 * [taylor]: Taking taylor expansion of 0 in z
7.823 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.826 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.826 * [taylor]: Taking taylor expansion of 1/2 in x
7.826 * [backup-simplify]: Simplify 1/2 into 1/2
7.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.826 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.826 * [taylor]: Taking taylor expansion of x in x
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.827 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [taylor]: Taking taylor expansion of 0 in x
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [taylor]: Taking taylor expansion of 0 in x
7.829 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.839 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.840 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.841 * [backup-simplify]: Simplify (+ 0 0) into 0
7.841 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
7.843 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
7.843 * [taylor]: Taking taylor expansion of -1/2 in z
7.843 * [backup-simplify]: Simplify -1/2 into -1/2
7.843 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
7.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.843 * [taylor]: Taking taylor expansion of 1/2 in z
7.843 * [backup-simplify]: Simplify 1/2 into 1/2
7.843 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.843 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.843 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.844 * [taylor]: Taking taylor expansion of x in z
7.844 * [backup-simplify]: Simplify x into x
7.844 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.844 * [taylor]: Taking taylor expansion of z in z
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.844 * [backup-simplify]: Simplify (* 1 1) into 1
7.844 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.844 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.844 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
7.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.844 * [taylor]: Taking taylor expansion of 1/4 in z
7.845 * [backup-simplify]: Simplify 1/4 into 1/4
7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.845 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.845 * [taylor]: Taking taylor expansion of x in z
7.845 * [backup-simplify]: Simplify x into x
7.845 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.845 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.845 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.845 * [taylor]: Taking taylor expansion of 1/4 in z
7.845 * [backup-simplify]: Simplify 1/4 into 1/4
7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.845 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.845 * [taylor]: Taking taylor expansion of z in z
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.846 * [backup-simplify]: Simplify (* 1 1) into 1
7.846 * [backup-simplify]: Simplify (* 1 1) into 1
7.846 * [backup-simplify]: Simplify (/ 1 1) into 1
7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.847 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.848 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.861 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.863 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.864 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.865 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.865 * [taylor]: Taking taylor expansion of 0 in x
7.865 * [backup-simplify]: Simplify 0 into 0
7.865 * [taylor]: Taking taylor expansion of 0 in x
7.865 * [backup-simplify]: Simplify 0 into 0
7.865 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.868 * [backup-simplify]: Simplify (+ 0 0) into 0
7.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.869 * [taylor]: Taking taylor expansion of 0 in x
7.869 * [backup-simplify]: Simplify 0 into 0
7.869 * [taylor]: Taking taylor expansion of 0 in x
7.869 * [backup-simplify]: Simplify 0 into 0
7.869 * [taylor]: Taking taylor expansion of 0 in x
7.869 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.873 * [backup-simplify]: Simplify 0 into 0
7.873 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
7.873 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
7.873 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (y z x) around 0
7.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.874 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.874 * [taylor]: Taking taylor expansion of y in x
7.874 * [backup-simplify]: Simplify y into y
7.874 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.874 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.874 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.874 * [taylor]: Taking taylor expansion of x in x
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 1 into 1
7.874 * [backup-simplify]: Simplify (* 1 1) into 1
7.875 * [backup-simplify]: Simplify (/ 1 1) into 1
7.875 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.875 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.875 * [taylor]: Taking taylor expansion of z in x
7.875 * [backup-simplify]: Simplify z into z
7.875 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.875 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.876 * [backup-simplify]: Simplify (+ 1 0) into 1
7.876 * [backup-simplify]: Simplify (+ 0 1) into 1
7.877 * [backup-simplify]: Simplify (sqrt 1) into 1
7.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (+ 0 0) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.880 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.880 * [taylor]: Taking taylor expansion of y in z
7.880 * [backup-simplify]: Simplify y into y
7.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.880 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.880 * [taylor]: Taking taylor expansion of x in z
7.880 * [backup-simplify]: Simplify x into x
7.880 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.881 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.881 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.881 * [taylor]: Taking taylor expansion of z in z
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [backup-simplify]: Simplify (* 1 1) into 1
7.881 * [backup-simplify]: Simplify (/ 1 1) into 1
7.882 * [backup-simplify]: Simplify (+ 0 1) into 1
7.882 * [backup-simplify]: Simplify (+ 0 1) into 1
7.883 * [backup-simplify]: Simplify (sqrt 1) into 1
7.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.886 * [taylor]: Taking taylor expansion of y in y
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 1 into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.887 * [backup-simplify]: Simplify (/ 1 1) into 1
7.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.887 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.887 * [taylor]: Taking taylor expansion of x in y
7.887 * [backup-simplify]: Simplify x into x
7.887 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.887 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.887 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.887 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.887 * [taylor]: Taking taylor expansion of z in y
7.887 * [backup-simplify]: Simplify z into z
7.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.888 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.888 * [backup-simplify]: Simplify (+ 1 0) into 1
7.889 * [backup-simplify]: Simplify (sqrt 1) into 1
7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.891 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.891 * [taylor]: Taking taylor expansion of y in y
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (* 1 1) into 1
7.892 * [backup-simplify]: Simplify (/ 1 1) into 1
7.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.892 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.892 * [taylor]: Taking taylor expansion of x in y
7.892 * [backup-simplify]: Simplify x into x
7.892 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
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)
7.893 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.893 * [backup-simplify]: Simplify (+ 1 0) into 1
7.894 * [backup-simplify]: Simplify (sqrt 1) into 1
7.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.897 * [taylor]: Taking taylor expansion of 1 in z
7.897 * [backup-simplify]: Simplify 1 into 1
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 1 in x
7.897 * [backup-simplify]: Simplify 1 into 1
7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.900 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.902 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.902 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.902 * [taylor]: Taking taylor expansion of 1/2 in z
7.902 * [backup-simplify]: Simplify 1/2 into 1/2
7.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.902 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.902 * [taylor]: Taking taylor expansion of x in z
7.902 * [backup-simplify]: Simplify x into x
7.902 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.902 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.902 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.902 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.902 * [taylor]: Taking taylor expansion of z in z
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (* 1 1) into 1
7.903 * [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 (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (+ 0 1) into 1
7.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.906 * [taylor]: Taking taylor expansion of 0 in x
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [taylor]: Taking taylor expansion of 0 in x
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [taylor]: Taking taylor expansion of 0 in x
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.909 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.909 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.911 * [taylor]: Taking taylor expansion of 0 in z
7.911 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.914 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.914 * [taylor]: Taking taylor expansion of 1/2 in x
7.914 * [backup-simplify]: Simplify 1/2 into 1/2
7.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.915 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.915 * [taylor]: Taking taylor expansion of x in x
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (* 1 1) into 1
7.915 * [backup-simplify]: Simplify (/ 1 1) into 1
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [taylor]: Taking taylor expansion of 0 in x
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [taylor]: Taking taylor expansion of 0 in x
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.922 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
7.925 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) in z
7.925 * [taylor]: Taking taylor expansion of -1/2 in z
7.925 * [backup-simplify]: Simplify -1/2 into -1/2
7.925 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))) in z
7.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.925 * [taylor]: Taking taylor expansion of 1/2 in z
7.925 * [backup-simplify]: Simplify 1/2 into 1/2
7.925 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.925 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.925 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.925 * [taylor]: Taking taylor expansion of x in z
7.925 * [backup-simplify]: Simplify x into x
7.925 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.925 * [taylor]: Taking taylor expansion of z in z
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [backup-simplify]: Simplify 1 into 1
7.925 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.926 * [backup-simplify]: Simplify (* 1 1) into 1
7.926 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.926 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))) in z
7.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.926 * [taylor]: Taking taylor expansion of 1/4 in z
7.926 * [backup-simplify]: Simplify 1/4 into 1/4
7.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.926 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.926 * [taylor]: Taking taylor expansion of x in z
7.926 * [backup-simplify]: Simplify x into x
7.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.927 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.927 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.927 * [taylor]: Taking taylor expansion of 1/4 in z
7.927 * [backup-simplify]: Simplify 1/4 into 1/4
7.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.927 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.927 * [taylor]: Taking taylor expansion of z in z
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify 1 into 1
7.927 * [backup-simplify]: Simplify (* 1 1) into 1
7.928 * [backup-simplify]: Simplify (* 1 1) into 1
7.928 * [backup-simplify]: Simplify (/ 1 1) into 1
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.929 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.930 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.941 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.942 * [backup-simplify]: Simplify (+ 0 0) into 0
7.942 * [backup-simplify]: Simplify (+ 0 0) into 0
7.942 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.942 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.943 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.943 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.944 * [taylor]: Taking taylor expansion of 0 in x
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [taylor]: Taking taylor expansion of 0 in x
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.945 * [backup-simplify]: Simplify (+ 0 0) into 0
7.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.946 * [taylor]: Taking taylor expansion of 0 in x
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [taylor]: Taking taylor expansion of 0 in x
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [taylor]: Taking taylor expansion of 0 in x
7.946 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
7.948 * * * * [progress]: [ 3 / 4 ] generating series at (2)
7.949 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
7.949 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (y z x) around 0
7.949 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
7.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
7.949 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
7.949 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.949 * [taylor]: Taking taylor expansion of y in x
7.949 * [backup-simplify]: Simplify y into y
7.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
7.949 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.949 * [taylor]: Taking taylor expansion of x in x
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 1 into 1
7.949 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.949 * [taylor]: Taking taylor expansion of z in x
7.949 * [backup-simplify]: Simplify z into z
7.949 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.949 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.949 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.949 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.949 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.950 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.950 * [backup-simplify]: Simplify (+ 0 0) into 0
7.950 * [backup-simplify]: Simplify (+ 0 0) into 0
7.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.950 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
7.950 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
7.950 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.951 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.951 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
7.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
7.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
7.951 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.951 * [taylor]: Taking taylor expansion of y in z
7.951 * [backup-simplify]: Simplify y into y
7.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.951 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.951 * [taylor]: Taking taylor expansion of x in z
7.951 * [backup-simplify]: Simplify x into x
7.951 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.951 * [taylor]: Taking taylor expansion of z in z
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.951 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.951 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.952 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
7.952 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
7.952 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.952 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.952 * [backup-simplify]: Simplify (+ 0 0) into 0
7.952 * [backup-simplify]: Simplify (+ 0 0) into 0
7.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
7.953 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
7.953 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
7.953 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.953 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.953 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
7.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.953 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.953 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.953 * [taylor]: Taking taylor expansion of y in y
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify 1 into 1
7.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.953 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.953 * [taylor]: Taking taylor expansion of x in y
7.954 * [backup-simplify]: Simplify x into x
7.954 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.954 * [taylor]: Taking taylor expansion of z in y
7.954 * [backup-simplify]: Simplify z into z
7.954 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.954 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.954 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.954 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.954 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.954 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.954 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.955 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
7.955 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
7.955 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.955 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.956 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
7.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
7.956 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
7.956 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.956 * [taylor]: Taking taylor expansion of y in y
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
7.956 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.956 * [taylor]: Taking taylor expansion of x in y
7.956 * [backup-simplify]: Simplify x into x
7.956 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.956 * [taylor]: Taking taylor expansion of z in y
7.956 * [backup-simplify]: Simplify z into z
7.956 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.956 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.956 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.956 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
7.957 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.957 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.957 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
7.957 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
7.957 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
7.957 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.958 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.959 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333))
7.959 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow z 2))) (sqrt 0.3333333333333333)) in z
7.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
7.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.959 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.959 * [taylor]: Taking taylor expansion of x in z
7.959 * [backup-simplify]: Simplify x into x
7.959 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.959 * [taylor]: Taking taylor expansion of z in z
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 1 into 1
7.959 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.959 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.959 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.959 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.959 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
7.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
7.960 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.960 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.960 * [backup-simplify]: Simplify (* x (sqrt 0.3333333333333333)) into (* x (sqrt 0.3333333333333333))
7.960 * [taylor]: Taking taylor expansion of (* x (sqrt 0.3333333333333333)) in x
7.961 * [taylor]: Taking taylor expansion of x in x
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.961 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
7.961 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
7.961 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.961 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.962 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
7.962 * [taylor]: Taking taylor expansion of 0 in z
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [taylor]: Taking taylor expansion of 0 in x
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (sqrt 0.3333333333333333))) into 0
7.963 * [taylor]: Taking taylor expansion of 0 in x
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
7.965 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
7.966 * [backup-simplify]: Simplify (* 1 1) into 1
7.966 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.966 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.967 * [backup-simplify]: Simplify (+ 0 0) into 0
7.967 * [backup-simplify]: Simplify (+ 1 0) into 1
7.968 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
7.970 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)))
7.970 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))) in z
7.970 * [taylor]: Taking taylor expansion of 1/2 in z
7.970 * [backup-simplify]: Simplify 1/2 into 1/2
7.970 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
7.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
7.970 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
7.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.970 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.970 * [taylor]: Taking taylor expansion of x in z
7.970 * [backup-simplify]: Simplify x into x
7.970 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.970 * [taylor]: Taking taylor expansion of z in z
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.970 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.971 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.971 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.972 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
7.972 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
7.972 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.972 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.973 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) x)
7.974 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) x)) into (* 1/2 (/ (sqrt 0.3333333333333333) x))
7.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) x)) in x
7.974 * [taylor]: Taking taylor expansion of 1/2 in x
7.974 * [backup-simplify]: Simplify 1/2 into 1/2
7.974 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) x) in x
7.974 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
7.974 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
7.974 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.974 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.975 * [taylor]: Taking taylor expansion of x in x
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
7.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [taylor]: Taking taylor expansion of 0 in x
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
7.985 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.985 * [backup-simplify]: Simplify (* 1 1) into 1
7.985 * [backup-simplify]: Simplify (+ 0 1) into 1
7.986 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.987 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* (/ 1/2 x) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) x))
7.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) x)) in x
7.987 * [taylor]: Taking taylor expansion of 1/2 in x
7.987 * [backup-simplify]: Simplify 1/2 into 1/2
7.987 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) x) in x
7.987 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
7.987 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
7.987 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
7.988 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
7.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
7.988 * [taylor]: Taking taylor expansion of x in x
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 1 into 1
7.989 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
7.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
7.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
7.994 * [backup-simplify]: Simplify 0 into 0
7.994 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* x (* 1 1))) into (* x (sqrt 0.3333333333333333))
7.996 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x))))) (sqrt (/ (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
7.996 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y z x) around 0
7.996 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
7.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.996 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.996 * [taylor]: Taking taylor expansion of y in x
7.996 * [backup-simplify]: Simplify y into y
7.996 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.996 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.996 * [taylor]: Taking taylor expansion of x in x
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.997 * [backup-simplify]: Simplify (* 1 1) into 1
7.997 * [backup-simplify]: Simplify (/ 1 1) into 1
7.997 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.997 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.997 * [taylor]: Taking taylor expansion of z in x
7.997 * [backup-simplify]: Simplify z into z
7.997 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.998 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.998 * [backup-simplify]: Simplify (+ 1 0) into 1
7.998 * [backup-simplify]: Simplify (+ 0 1) into 1
7.999 * [backup-simplify]: Simplify (sqrt 1) into 1
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.002 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.002 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.002 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.002 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.003 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.003 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.003 * [taylor]: Taking taylor expansion of y in z
8.003 * [backup-simplify]: Simplify y into y
8.003 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.003 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.003 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.003 * [taylor]: Taking taylor expansion of x in z
8.004 * [backup-simplify]: Simplify x into x
8.004 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.004 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.004 * [taylor]: Taking taylor expansion of z in z
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (* 1 1) into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.005 * [backup-simplify]: Simplify (+ 0 1) into 1
8.005 * [backup-simplify]: Simplify (+ 0 1) into 1
8.005 * [backup-simplify]: Simplify (sqrt 1) into 1
8.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.006 * [backup-simplify]: Simplify (+ 0 0) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.007 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.007 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.007 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.007 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.008 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.008 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.008 * [taylor]: Taking taylor expansion of y in y
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (* 1 1) into 1
8.009 * [backup-simplify]: Simplify (/ 1 1) into 1
8.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.009 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.009 * [taylor]: Taking taylor expansion of z in y
8.009 * [backup-simplify]: Simplify z into z
8.009 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.009 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.009 * [backup-simplify]: Simplify (+ 1 0) into 1
8.010 * [backup-simplify]: Simplify (sqrt 1) into 1
8.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.011 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.011 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.011 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.011 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.012 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.012 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.012 * [taylor]: Taking taylor expansion of y in y
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.012 * [backup-simplify]: Simplify (* 1 1) into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.012 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.013 * [taylor]: Taking taylor expansion of x in y
8.013 * [backup-simplify]: Simplify x into x
8.013 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.013 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.013 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.013 * [taylor]: Taking taylor expansion of z in y
8.013 * [backup-simplify]: Simplify z into z
8.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.013 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.013 * [backup-simplify]: Simplify (+ 1 0) into 1
8.013 * [backup-simplify]: Simplify (sqrt 1) into 1
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (+ 0 0) into 0
8.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.015 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
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 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.016 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.016 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.016 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.017 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.018 * [taylor]: Taking taylor expansion of 0 in z
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.018 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.018 * [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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.020 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.021 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.021 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
8.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
8.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
8.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in z
8.023 * [taylor]: Taking taylor expansion of 1/2 in z
8.023 * [backup-simplify]: Simplify 1/2 into 1/2
8.023 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
8.023 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.023 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.023 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.025 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.025 * [taylor]: Taking taylor expansion of x in z
8.025 * [backup-simplify]: Simplify x into x
8.025 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.025 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.025 * [taylor]: Taking taylor expansion of 1/2 in z
8.025 * [backup-simplify]: Simplify 1/2 into 1/2
8.025 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.025 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.026 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.026 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.026 * [taylor]: Taking taylor expansion of z in z
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.027 * [backup-simplify]: Simplify (* 1 1) into 1
8.027 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.029 * [backup-simplify]: Simplify (+ 0 0) into 0
8.029 * [taylor]: Taking taylor expansion of 0 in x
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [taylor]: Taking taylor expansion of 0 in x
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [taylor]: Taking taylor expansion of 0 in x
8.029 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.033 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.033 * [backup-simplify]: Simplify (+ 0 0) into 0
8.034 * [backup-simplify]: Simplify (+ 0 0) into 0
8.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.037 * [taylor]: Taking taylor expansion of 0 in z
8.037 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
8.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
8.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
8.043 * [taylor]: Taking taylor expansion of 1/2 in x
8.044 * [backup-simplify]: Simplify 1/2 into 1/2
8.044 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
8.044 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.044 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.044 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.044 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.045 * [taylor]: Taking taylor expansion of x in x
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (* 1 1) into 1
8.046 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [taylor]: Taking taylor expansion of 0 in x
8.049 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.050 * [taylor]: Taking taylor expansion of 0 in x
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.056 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.057 * [backup-simplify]: Simplify (+ 0 0) into 0
8.057 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
8.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
8.063 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in z
8.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in z
8.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in z
8.063 * [taylor]: Taking taylor expansion of 1/4 in z
8.063 * [backup-simplify]: Simplify 1/4 into 1/4
8.063 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in z
8.063 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.063 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.064 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.064 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
8.064 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.065 * [taylor]: Taking taylor expansion of x in z
8.065 * [backup-simplify]: Simplify x into x
8.065 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.065 * [taylor]: Taking taylor expansion of z in z
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.065 * [backup-simplify]: Simplify (* 1 1) into 1
8.065 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.066 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.066 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in z
8.066 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in z
8.066 * [taylor]: Taking taylor expansion of 1/8 in z
8.066 * [backup-simplify]: Simplify 1/8 into 1/8
8.066 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in z
8.066 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
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
8.067 * [taylor]: Taking taylor expansion of (pow z 4) in z
8.067 * [taylor]: Taking taylor expansion of z in z
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 1 into 1
8.068 * [backup-simplify]: Simplify (* 1 1) into 1
8.068 * [backup-simplify]: Simplify (* 1 1) into 1
8.069 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.069 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in z
8.069 * [taylor]: Taking taylor expansion of 1/8 in z
8.069 * [backup-simplify]: Simplify 1/8 into 1/8
8.069 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in z
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 * [taylor]: Taking taylor expansion of (pow x 4) in z
8.071 * [taylor]: Taking taylor expansion of x in z
8.071 * [backup-simplify]: Simplify x into x
8.071 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.071 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.071 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 4)) into (/ (sqrt 0.3333333333333333) (pow x 4))
8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.072 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.073 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.074 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
8.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
8.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.088 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (- 0) into 0
8.089 * [taylor]: Taking taylor expansion of 0 in x
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [taylor]: Taking taylor expansion of 0 in x
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
8.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.097 * [backup-simplify]: Simplify (+ 0 0) into 0
8.097 * [taylor]: Taking taylor expansion of 0 in x
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [taylor]: Taking taylor expansion of 0 in x
8.097 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.098 * [taylor]: Taking taylor expansion of 0 in x
8.098 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.102 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 y))))) into (* y (sqrt 0.3333333333333333))
8.104 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x)))))) (sqrt (/ (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
8.104 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (y z x) around 0
8.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.104 * [taylor]: Taking taylor expansion of y in x
8.104 * [backup-simplify]: Simplify y into y
8.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.105 * [taylor]: Taking taylor expansion of x in x
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (/ 1 1) into 1
8.106 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.106 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.106 * [taylor]: Taking taylor expansion of z in x
8.106 * [backup-simplify]: Simplify z into z
8.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.106 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.106 * [backup-simplify]: Simplify (+ 1 0) into 1
8.107 * [backup-simplify]: Simplify (+ 0 1) into 1
8.107 * [backup-simplify]: Simplify (sqrt 1) into 1
8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.110 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.110 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.110 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.111 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.111 * [taylor]: Taking taylor expansion of y in z
8.111 * [backup-simplify]: Simplify y into y
8.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.112 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.112 * [taylor]: Taking taylor expansion of x in z
8.112 * [backup-simplify]: Simplify x into x
8.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.112 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.112 * [taylor]: Taking taylor expansion of z in z
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.112 * [backup-simplify]: Simplify (* 1 1) into 1
8.113 * [backup-simplify]: Simplify (/ 1 1) into 1
8.113 * [backup-simplify]: Simplify (+ 0 1) into 1
8.113 * [backup-simplify]: Simplify (+ 0 1) into 1
8.114 * [backup-simplify]: Simplify (sqrt 1) into 1
8.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.115 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.116 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.117 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.117 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.122 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.122 * [taylor]: Taking taylor expansion of y in y
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.124 * [backup-simplify]: Simplify (/ 1 1) into 1
8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.124 * [taylor]: Taking taylor expansion of x in y
8.124 * [backup-simplify]: Simplify x into x
8.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.124 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.124 * [taylor]: Taking taylor expansion of z in y
8.124 * [backup-simplify]: Simplify z into z
8.124 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.124 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.125 * [backup-simplify]: Simplify (+ 1 0) into 1
8.125 * [backup-simplify]: Simplify (sqrt 1) into 1
8.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (+ 0 0) into 0
8.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.129 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.129 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.129 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.129 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.130 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.130 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.130 * [taylor]: Taking taylor expansion of y in y
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 1 into 1
8.131 * [backup-simplify]: Simplify (* 1 1) into 1
8.131 * [backup-simplify]: Simplify (/ 1 1) into 1
8.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.131 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.131 * [taylor]: Taking taylor expansion of x in y
8.131 * [backup-simplify]: Simplify x into x
8.131 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.132 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.132 * [taylor]: Taking taylor expansion of z in y
8.132 * [backup-simplify]: Simplify z into z
8.132 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.132 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.132 * [backup-simplify]: Simplify (+ 1 0) into 1
8.133 * [backup-simplify]: Simplify (sqrt 1) into 1
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ 0 0) into 0
8.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.135 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.135 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.136 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.137 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
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
8.138 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.139 * [taylor]: Taking taylor expansion of 0 in z
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.139 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.140 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.140 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.144 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.144 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.146 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
8.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))))
8.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
8.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in z
8.148 * [taylor]: Taking taylor expansion of 1/2 in z
8.148 * [backup-simplify]: Simplify 1/2 into 1/2
8.148 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
8.148 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.148 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.148 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.149 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.149 * [taylor]: Taking taylor expansion of x in z
8.149 * [backup-simplify]: Simplify x into x
8.149 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.150 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.150 * [taylor]: Taking taylor expansion of 1/2 in z
8.150 * [backup-simplify]: Simplify 1/2 into 1/2
8.150 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.150 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.150 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.150 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.151 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.151 * [taylor]: Taking taylor expansion of z in z
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 1 into 1
8.152 * [backup-simplify]: Simplify (* 1 1) into 1
8.152 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.155 * [backup-simplify]: Simplify (+ 0 0) into 0
8.155 * [taylor]: Taking taylor expansion of 0 in x
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [taylor]: Taking taylor expansion of 0 in x
8.155 * [backup-simplify]: Simplify 0 into 0
8.156 * [taylor]: Taking taylor expansion of 0 in x
8.156 * [backup-simplify]: Simplify 0 into 0
8.156 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.160 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.161 * [backup-simplify]: Simplify (+ 0 0) into 0
8.161 * [backup-simplify]: Simplify (+ 0 0) into 0
8.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.164 * [taylor]: Taking taylor expansion of 0 in z
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
8.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2)))
8.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x
8.169 * [taylor]: Taking taylor expansion of 1/2 in x
8.169 * [backup-simplify]: Simplify 1/2 into 1/2
8.170 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
8.170 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.170 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.170 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.170 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.171 * [taylor]: Taking taylor expansion of x in x
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify 1 into 1
8.171 * [backup-simplify]: Simplify (* 1 1) into 1
8.172 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.175 * [backup-simplify]: Simplify 0 into 0
8.175 * [taylor]: Taking taylor expansion of 0 in x
8.175 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.176 * [taylor]: Taking taylor expansion of 0 in x
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.182 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.183 * [backup-simplify]: Simplify (+ 0 0) into 0
8.183 * [backup-simplify]: Simplify (+ 0 0) into 0
8.185 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4))))))
8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))))
8.189 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in z
8.189 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in z
8.189 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2)))) in z
8.189 * [taylor]: Taking taylor expansion of 1/4 in z
8.189 * [backup-simplify]: Simplify 1/4 into 1/4
8.189 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow z 2))) in z
8.189 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.189 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.189 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.190 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.191 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
8.191 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.191 * [taylor]: Taking taylor expansion of x in z
8.191 * [backup-simplify]: Simplify x into x
8.191 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.191 * [taylor]: Taking taylor expansion of z in z
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.191 * [backup-simplify]: Simplify (* 1 1) into 1
8.191 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.192 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.192 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in z
8.192 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in z
8.192 * [taylor]: Taking taylor expansion of 1/8 in z
8.192 * [backup-simplify]: Simplify 1/8 into 1/8
8.192 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in z
8.192 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.192 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.193 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.194 * [taylor]: Taking taylor expansion of (pow z 4) in z
8.194 * [taylor]: Taking taylor expansion of z in z
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.195 * [backup-simplify]: Simplify (* 1 1) into 1
8.195 * [backup-simplify]: Simplify (* 1 1) into 1
8.196 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.196 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in z
8.197 * [taylor]: Taking taylor expansion of 1/8 in z
8.197 * [backup-simplify]: Simplify 1/8 into 1/8
8.197 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in z
8.197 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.197 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.197 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.197 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.198 * [taylor]: Taking taylor expansion of (pow x 4) in z
8.198 * [taylor]: Taking taylor expansion of x in z
8.198 * [backup-simplify]: Simplify x into x
8.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.198 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.199 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 4)) into (/ (sqrt 0.3333333333333333) (pow x 4))
8.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.200 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.200 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.201 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
8.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
8.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.208 * [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 (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.212 * [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
8.216 * [backup-simplify]: Simplify (- 0) into 0
8.216 * [taylor]: Taking taylor expansion of 0 in x
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [taylor]: Taking taylor expansion of 0 in x
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.217 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow x 2)) (/ 0 (pow x 2))))) into 0
8.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow x 2)))) into 0
8.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.223 * [backup-simplify]: Simplify (+ 0 0) into 0
8.223 * [taylor]: Taking taylor expansion of 0 in x
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [taylor]: Taking taylor expansion of 0 in x
8.224 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.226 * [taylor]: Taking taylor expansion of 0 in x
8.226 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 (* y (sqrt 0.3333333333333333)))
8.231 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.232 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)) into (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333))
8.232 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in (y z x) around 0
8.232 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in x
8.232 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in x
8.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
8.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
8.232 * [taylor]: Taking taylor expansion of 1/4 in x
8.232 * [backup-simplify]: Simplify 1/4 into 1/4
8.232 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.232 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.232 * [taylor]: Taking taylor expansion of y in x
8.232 * [backup-simplify]: Simplify y into y
8.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.232 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.232 * [taylor]: Taking taylor expansion of x in x
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify 1 into 1
8.232 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.232 * [taylor]: Taking taylor expansion of z in x
8.232 * [backup-simplify]: Simplify z into z
8.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.233 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.233 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.233 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.233 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
8.234 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
8.234 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
8.234 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.234 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.234 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.235 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in z
8.235 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in z
8.235 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in z
8.235 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in z
8.235 * [taylor]: Taking taylor expansion of 1/4 in z
8.235 * [backup-simplify]: Simplify 1/4 into 1/4
8.235 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.235 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.235 * [taylor]: Taking taylor expansion of y in z
8.235 * [backup-simplify]: Simplify y into y
8.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.235 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.235 * [taylor]: Taking taylor expansion of x in z
8.235 * [backup-simplify]: Simplify x into x
8.235 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.235 * [taylor]: Taking taylor expansion of z in z
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 1 into 1
8.235 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.235 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.236 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.236 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.236 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow x 2))) into (log (+ (pow y 2) (pow x 2)))
8.236 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow x 2)))) into (* 1/4 (log (+ (pow y 2) (pow x 2))))
8.236 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) into (pow (+ (pow y 2) (pow x 2)) 1/4)
8.236 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.236 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.236 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.236 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.237 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in y
8.237 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in y
8.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in y
8.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
8.237 * [taylor]: Taking taylor expansion of 1/4 in y
8.237 * [backup-simplify]: Simplify 1/4 into 1/4
8.237 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.237 * [taylor]: Taking taylor expansion of y in y
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.237 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.237 * [taylor]: Taking taylor expansion of x in y
8.237 * [backup-simplify]: Simplify x into x
8.237 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.237 * [taylor]: Taking taylor expansion of z in y
8.237 * [backup-simplify]: Simplify z into z
8.237 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.237 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.237 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.238 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.238 * [backup-simplify]: Simplify (log (+ (pow z 2) (pow x 2))) into (log (+ (pow x 2) (pow z 2)))
8.238 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2))))
8.238 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
8.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.238 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.238 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.239 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in y
8.239 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in y
8.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in y
8.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
8.239 * [taylor]: Taking taylor expansion of 1/4 in y
8.239 * [backup-simplify]: Simplify 1/4 into 1/4
8.239 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.239 * [taylor]: Taking taylor expansion of y in y
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.239 * [taylor]: Taking taylor expansion of x in y
8.239 * [backup-simplify]: Simplify x into x
8.239 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.239 * [taylor]: Taking taylor expansion of z in y
8.239 * [backup-simplify]: Simplify z into z
8.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.239 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.239 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.240 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.240 * [backup-simplify]: Simplify (log (+ (pow z 2) (pow x 2))) into (log (+ (pow x 2) (pow z 2)))
8.240 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2))))
8.240 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
8.240 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.240 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.240 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.241 * [backup-simplify]: Simplify (* (pow (+ (pow x 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333)) into (* (pow (+ (pow x 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333))
8.241 * [taylor]: Taking taylor expansion of (* (pow (+ (pow x 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333)) in z
8.241 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow z 2)) 1/4) in z
8.241 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) in z
8.241 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow z 2)))) in z
8.241 * [taylor]: Taking taylor expansion of 1/4 in z
8.241 * [backup-simplify]: Simplify 1/4 into 1/4
8.241 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow z 2))) in z
8.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.242 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.242 * [taylor]: Taking taylor expansion of x in z
8.242 * [backup-simplify]: Simplify x into x
8.242 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.242 * [taylor]: Taking taylor expansion of z in z
8.242 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify 1 into 1
8.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.242 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.242 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
8.242 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
8.242 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
8.242 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.242 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.242 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.243 * [backup-simplify]: Simplify (* (pow (pow x 2) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt x) (sqrt 0.3333333333333333))
8.243 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 0.3333333333333333)) in x
8.243 * [taylor]: Taking taylor expansion of (sqrt x) in x
8.243 * [taylor]: Taking taylor expansion of x in x
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 1 into 1
8.243 * [backup-simplify]: Simplify (sqrt 0) into 0
8.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.244 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.244 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.245 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.245 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.245 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.246 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.246 * [backup-simplify]: Simplify (+ 0 0) into 0
8.246 * [backup-simplify]: Simplify (+ 0 0) into 0
8.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow z 2) (pow x 2)) 1)))) 1) into 0
8.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow x 2) (pow z 2))))) into 0
8.248 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.248 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.248 * [taylor]: Taking taylor expansion of 0 in z
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [taylor]: Taking taylor expansion of 0 in x
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.249 * [backup-simplify]: Simplify (+ 0 0) into 0
8.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0
8.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow x 2)))) into 0
8.250 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.250 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.250 * [taylor]: Taking taylor expansion of 0 in x
8.250 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.253 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.253 * [backup-simplify]: Simplify (* 1 1) into 1
8.254 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.254 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.254 * [backup-simplify]: Simplify (+ 0 0) into 0
8.255 * [backup-simplify]: Simplify (+ 1 0) into 1
8.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow z 2) (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow z 2) (pow x 2)) 1)))) 2) into (/ 1 (+ (pow x 2) (pow z 2)))
8.256 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (+ (pow x 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow x 2) (pow z 2)))))) into (* 1/4 (/ 1 (+ (pow x 2) (pow z 2))))
8.257 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (+ (pow x 2) (pow z 2)))) 1) 1)))) into (* 1/4 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4))
8.258 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/4) 0) (+ (* 0 0) (* (* 1/4 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4)) (sqrt 0.3333333333333333)))) into (* 1/4 (* (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333)))
8.258 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333))) in z
8.258 * [taylor]: Taking taylor expansion of 1/4 in z
8.258 * [backup-simplify]: Simplify 1/4 into 1/4
8.258 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333)) in z
8.258 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) 1/4) in z
8.258 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) in z
8.258 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)))) in z
8.258 * [taylor]: Taking taylor expansion of 1/4 in z
8.258 * [backup-simplify]: Simplify 1/4 into 1/4
8.258 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))) in z
8.258 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (pow z 2)) 3)) in z
8.258 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow z 2)) 3) in z
8.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.258 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.258 * [taylor]: Taking taylor expansion of x in z
8.258 * [backup-simplify]: Simplify x into x
8.259 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.259 * [taylor]: Taking taylor expansion of z in z
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 1 into 1
8.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.259 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.259 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.259 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6)
8.259 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6))
8.259 * [backup-simplify]: Simplify (log (/ 1 (pow x 6))) into (log (/ 1 (pow x 6)))
8.259 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow x 6)))) into (* 1/4 (log (/ 1 (pow x 6))))
8.259 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow x 6))))) into (pow (/ 1 (pow x 6)) 1/4)
8.259 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.260 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.260 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 6)) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333))
8.261 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333))) into (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333)))
8.261 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333))) in x
8.261 * [taylor]: Taking taylor expansion of 1/4 in x
8.261 * [backup-simplify]: Simplify 1/4 into 1/4
8.261 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333)) in x
8.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in x
8.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.261 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.261 * [taylor]: Taking taylor expansion of x in x
8.261 * [backup-simplify]: Simplify 0 into 0
8.261 * [backup-simplify]: Simplify 1 into 1
8.261 * [backup-simplify]: Simplify (* 1 1) into 1
8.261 * [backup-simplify]: Simplify (* 1 1) into 1
8.262 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [backup-simplify]: Simplify (sqrt 0) into 0
8.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.268 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.268 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.268 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.275 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.281 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.282 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.287 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.289 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.289 * [taylor]: Taking taylor expansion of 0 in x
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.290 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.291 * [backup-simplify]: Simplify (* 1 1) into 1
8.291 * [backup-simplify]: Simplify (+ 0 1) into 1
8.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2))
8.294 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/4 (/ 1 (pow x 2)))
8.295 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow x 3))))
8.296 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/4) 0) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow x 3)))) (sqrt 0.3333333333333333)))) into (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333)))
8.296 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333))) in x
8.296 * [taylor]: Taking taylor expansion of 1/4 in x
8.296 * [backup-simplify]: Simplify 1/4 into 1/4
8.296 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (sqrt 0.3333333333333333)) in x
8.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in x
8.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.296 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.296 * [taylor]: Taking taylor expansion of x in x
8.296 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 1 into 1
8.297 * [backup-simplify]: Simplify (* 1 1) into 1
8.297 * [backup-simplify]: Simplify (* 1 1) into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.298 * [backup-simplify]: Simplify (sqrt 0) into 0
8.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.300 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.300 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.300 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.300 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.313 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.313 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.318 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.320 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
8.325 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 0.3333333333333333))) (pow (* 1 (* z 1)) 2)) (+ (* (- (* +nan.0 (sqrt 0.3333333333333333))) (pow (* 1 (* 1 y)) 2)) (* (- (* +nan.0 (sqrt 0.3333333333333333))) (* x (* 1 1))))) into (- (+ (* +nan.0 (* x (sqrt 0.3333333333333333))) (- (+ (* +nan.0 (* (pow z 2) (sqrt 0.3333333333333333))) (- (* +nan.0 (* (pow y 2) (sqrt 0.3333333333333333))))))))
8.326 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) 3.0)) into (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333))
8.326 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in (y z x) around 0
8.326 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
8.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
8.326 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
8.326 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
8.326 * [taylor]: Taking taylor expansion of 1/4 in x
8.326 * [backup-simplify]: Simplify 1/4 into 1/4
8.326 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.327 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.327 * [taylor]: Taking taylor expansion of y in x
8.327 * [backup-simplify]: Simplify y into y
8.327 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.327 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.327 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.327 * [taylor]: Taking taylor expansion of x in x
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify 1 into 1
8.327 * [backup-simplify]: Simplify (* 1 1) into 1
8.328 * [backup-simplify]: Simplify (/ 1 1) into 1
8.328 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.328 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.328 * [taylor]: Taking taylor expansion of z in x
8.328 * [backup-simplify]: Simplify z into z
8.328 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.328 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.328 * [backup-simplify]: Simplify (+ 1 0) into 1
8.329 * [backup-simplify]: Simplify (+ 0 1) into 1
8.329 * [backup-simplify]: Simplify (log 1) into 0
8.330 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
8.330 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
8.330 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
8.330 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.330 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.330 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.330 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.331 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in z
8.331 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
8.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
8.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
8.331 * [taylor]: Taking taylor expansion of 1/4 in z
8.331 * [backup-simplify]: Simplify 1/4 into 1/4
8.331 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.331 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.331 * [taylor]: Taking taylor expansion of y in z
8.331 * [backup-simplify]: Simplify y into y
8.331 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.332 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.332 * [taylor]: Taking taylor expansion of x in z
8.332 * [backup-simplify]: Simplify x into x
8.332 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.332 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.332 * [taylor]: Taking taylor expansion of z in z
8.332 * [backup-simplify]: Simplify 0 into 0
8.332 * [backup-simplify]: Simplify 1 into 1
8.332 * [backup-simplify]: Simplify (* 1 1) into 1
8.333 * [backup-simplify]: Simplify (/ 1 1) into 1
8.333 * [backup-simplify]: Simplify (+ 0 1) into 1
8.334 * [backup-simplify]: Simplify (+ 0 1) into 1
8.334 * [backup-simplify]: Simplify (log 1) into 0
8.334 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.334 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
8.335 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
8.335 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.335 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.335 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.336 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
8.336 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
8.336 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
8.336 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
8.336 * [taylor]: Taking taylor expansion of 1/4 in y
8.336 * [backup-simplify]: Simplify 1/4 into 1/4
8.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.336 * [taylor]: Taking taylor expansion of y in y
8.336 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify 1 into 1
8.337 * [backup-simplify]: Simplify (* 1 1) into 1
8.337 * [backup-simplify]: Simplify (/ 1 1) into 1
8.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.337 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.337 * [taylor]: Taking taylor expansion of x in y
8.337 * [backup-simplify]: Simplify x into x
8.337 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.338 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.338 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.338 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.338 * [taylor]: Taking taylor expansion of z in y
8.338 * [backup-simplify]: Simplify z into z
8.338 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.338 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.339 * [backup-simplify]: Simplify (+ 1 0) into 1
8.339 * [backup-simplify]: Simplify (log 1) into 0
8.339 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.340 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
8.340 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
8.340 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.340 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.340 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.341 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
8.341 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
8.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
8.341 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
8.341 * [taylor]: Taking taylor expansion of 1/4 in y
8.341 * [backup-simplify]: Simplify 1/4 into 1/4
8.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.341 * [taylor]: Taking taylor expansion of y in y
8.341 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify 1 into 1
8.342 * [backup-simplify]: Simplify (* 1 1) into 1
8.342 * [backup-simplify]: Simplify (/ 1 1) into 1
8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.342 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.342 * [taylor]: Taking taylor expansion of x in y
8.342 * [backup-simplify]: Simplify x into x
8.343 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.343 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.343 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.343 * [taylor]: Taking taylor expansion of z in y
8.343 * [backup-simplify]: Simplify z into z
8.343 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.343 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.344 * [backup-simplify]: Simplify (+ 1 0) into 1
8.344 * [backup-simplify]: Simplify (log 1) into 0
8.344 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.345 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
8.345 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
8.345 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.345 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.346 * [backup-simplify]: Simplify (* (pow y -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.346 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) in z
8.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.347 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.347 * [taylor]: Taking taylor expansion of y in z
8.347 * [backup-simplify]: Simplify y into y
8.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.347 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.347 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.347 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.347 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.347 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.349 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.349 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) in x
8.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
8.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.349 * [taylor]: Taking taylor expansion of y in x
8.349 * [backup-simplify]: Simplify y into y
8.349 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.349 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.349 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.350 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.351 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.351 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ 0 0) into 0
8.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.355 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log y))))) into 0
8.356 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
8.357 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.357 * [taylor]: Taking taylor expansion of 0 in z
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [taylor]: Taking taylor expansion of 0 in x
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.358 * [taylor]: Taking taylor expansion of 0 in x
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.362 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.363 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))
8.365 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.366 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2))))
8.368 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2)))) 1) 1)))) into (* (sqrt (/ 1 y)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2)))))
8.370 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (* (* (sqrt (/ 1 y)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)))) into (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y)))))
8.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y))))) in z
8.370 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) in z
8.370 * [taylor]: Taking taylor expansion of 1/4 in z
8.370 * [backup-simplify]: Simplify 1/4 into 1/4
8.370 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) in z
8.370 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
8.370 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.370 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.370 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.371 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.371 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.371 * [taylor]: Taking taylor expansion of x in z
8.371 * [backup-simplify]: Simplify x into x
8.371 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.372 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.372 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.372 * [taylor]: Taking taylor expansion of y in z
8.372 * [backup-simplify]: Simplify y into y
8.372 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.372 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.372 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y)))) in z
8.373 * [taylor]: Taking taylor expansion of 1/4 in z
8.373 * [backup-simplify]: Simplify 1/4 into 1/4
8.373 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y))) in z
8.373 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.373 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.373 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.374 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.374 * [taylor]: Taking taylor expansion of z in z
8.374 * [backup-simplify]: Simplify 0 into 0
8.374 * [backup-simplify]: Simplify 1 into 1
8.374 * [backup-simplify]: Simplify (* 1 1) into 1
8.375 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.375 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.375 * [taylor]: Taking taylor expansion of y in z
8.375 * [backup-simplify]: Simplify y into y
8.375 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.375 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.377 * [backup-simplify]: Simplify (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) into (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))
8.378 * [backup-simplify]: Simplify (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) into (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))))
8.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.384 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 y))))) into 0
8.385 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (* 0 (sqrt (/ 1 y)))) into 0
8.385 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (sqrt (/ 1 y))) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))))) into 0
8.387 * [backup-simplify]: Simplify (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) 0) into (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))))
8.387 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) in x
8.387 * [taylor]: Taking taylor expansion of 1/4 in x
8.387 * [backup-simplify]: Simplify 1/4 into 1/4
8.387 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) in x
8.387 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
8.387 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.387 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.387 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.388 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.388 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.388 * [taylor]: Taking taylor expansion of x in x
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [backup-simplify]: Simplify 1 into 1
8.389 * [backup-simplify]: Simplify (* 1 1) into 1
8.390 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
8.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.390 * [taylor]: Taking taylor expansion of y in x
8.390 * [backup-simplify]: Simplify y into y
8.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.390 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.396 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 y))))) into 0
8.397 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (* 0 (sqrt (/ 1 y)))) into 0
8.397 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (sqrt (/ 1 y))) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))))) into 0
8.399 * [backup-simplify]: Simplify 0 into 0
8.399 * [taylor]: Taking taylor expansion of 0 in x
8.399 * [backup-simplify]: Simplify 0 into 0
8.399 * [backup-simplify]: Simplify 0 into 0
8.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.402 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.402 * [taylor]: Taking taylor expansion of 0 in x
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 y))) (sqrt 0.3333333333333333)) into (* (sqrt y) (sqrt 0.3333333333333333))
8.403 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) 3.0)) into (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333))
8.403 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in (y z x) around 0
8.403 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
8.403 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
8.403 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
8.403 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
8.403 * [taylor]: Taking taylor expansion of 1/4 in x
8.403 * [backup-simplify]: Simplify 1/4 into 1/4
8.403 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.404 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.404 * [taylor]: Taking taylor expansion of y in x
8.404 * [backup-simplify]: Simplify y into y
8.404 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.404 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.404 * [taylor]: Taking taylor expansion of x in x
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 1 into 1
8.404 * [backup-simplify]: Simplify (* 1 1) into 1
8.405 * [backup-simplify]: Simplify (/ 1 1) into 1
8.405 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.405 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.405 * [taylor]: Taking taylor expansion of z in x
8.405 * [backup-simplify]: Simplify z into z
8.405 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.405 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.406 * [backup-simplify]: Simplify (+ 1 0) into 1
8.406 * [backup-simplify]: Simplify (+ 0 1) into 1
8.406 * [backup-simplify]: Simplify (log 1) into 0
8.407 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
8.407 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
8.407 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
8.407 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.407 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.407 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.407 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.408 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in z
8.408 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
8.408 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
8.408 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
8.408 * [taylor]: Taking taylor expansion of 1/4 in z
8.408 * [backup-simplify]: Simplify 1/4 into 1/4
8.408 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.409 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.409 * [taylor]: Taking taylor expansion of y in z
8.409 * [backup-simplify]: Simplify y into y
8.409 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.409 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.409 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.409 * [taylor]: Taking taylor expansion of x in z
8.409 * [backup-simplify]: Simplify x into x
8.409 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.409 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.409 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.409 * [taylor]: Taking taylor expansion of z in z
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 1 into 1
8.410 * [backup-simplify]: Simplify (* 1 1) into 1
8.410 * [backup-simplify]: Simplify (/ 1 1) into 1
8.410 * [backup-simplify]: Simplify (+ 0 1) into 1
8.411 * [backup-simplify]: Simplify (+ 0 1) into 1
8.411 * [backup-simplify]: Simplify (log 1) into 0
8.412 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.412 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
8.412 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
8.412 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.412 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.412 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.412 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.419 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
8.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
8.419 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
8.419 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
8.419 * [taylor]: Taking taylor expansion of 1/4 in y
8.419 * [backup-simplify]: Simplify 1/4 into 1/4
8.419 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.419 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.419 * [taylor]: Taking taylor expansion of y in y
8.419 * [backup-simplify]: Simplify 0 into 0
8.419 * [backup-simplify]: Simplify 1 into 1
8.420 * [backup-simplify]: Simplify (* 1 1) into 1
8.420 * [backup-simplify]: Simplify (/ 1 1) into 1
8.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.420 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.420 * [taylor]: Taking taylor expansion of x in y
8.420 * [backup-simplify]: Simplify x into x
8.421 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.421 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.421 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.421 * [taylor]: Taking taylor expansion of z in y
8.421 * [backup-simplify]: Simplify z into z
8.421 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.421 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.422 * [backup-simplify]: Simplify (+ 1 0) into 1
8.422 * [backup-simplify]: Simplify (log 1) into 0
8.422 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.423 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
8.423 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
8.423 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.423 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.423 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.423 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.424 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
8.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
8.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
8.424 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
8.424 * [taylor]: Taking taylor expansion of 1/4 in y
8.424 * [backup-simplify]: Simplify 1/4 into 1/4
8.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.424 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.424 * [taylor]: Taking taylor expansion of y in y
8.424 * [backup-simplify]: Simplify 0 into 0
8.424 * [backup-simplify]: Simplify 1 into 1
8.425 * [backup-simplify]: Simplify (* 1 1) into 1
8.425 * [backup-simplify]: Simplify (/ 1 1) into 1
8.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.425 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.425 * [taylor]: Taking taylor expansion of x in y
8.425 * [backup-simplify]: Simplify x into x
8.425 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.426 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.426 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.426 * [taylor]: Taking taylor expansion of z in y
8.426 * [backup-simplify]: Simplify z into z
8.426 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.426 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.426 * [backup-simplify]: Simplify (+ 1 0) into 1
8.427 * [backup-simplify]: Simplify (log 1) into 0
8.427 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.427 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
8.427 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
8.427 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.427 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.427 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.428 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.429 * [backup-simplify]: Simplify (* (pow y -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.429 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) in z
8.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.429 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.429 * [taylor]: Taking taylor expansion of y in z
8.429 * [backup-simplify]: Simplify y into y
8.429 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.429 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.430 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.430 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.430 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.430 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.431 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) in x
8.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
8.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.431 * [taylor]: Taking taylor expansion of y in x
8.431 * [backup-simplify]: Simplify y into y
8.431 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.431 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.431 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.431 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.431 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.432 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.433 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.433 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.434 * [backup-simplify]: Simplify (+ 0 0) into 0
8.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.435 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log y))))) into 0
8.436 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
8.437 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.437 * [taylor]: Taking taylor expansion of 0 in z
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [taylor]: Taking taylor expansion of 0 in x
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.437 * [taylor]: Taking taylor expansion of 0 in x
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.440 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.440 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
8.442 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))
8.442 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.443 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2))))
8.444 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2)))) 1) 1)))) into (* (sqrt (/ 1 y)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2)))))
8.445 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (* (* (sqrt (/ 1 y)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)))) into (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y)))))
8.445 * [taylor]: Taking taylor expansion of (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y))))) in z
8.445 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) in z
8.445 * [taylor]: Taking taylor expansion of 1/4 in z
8.445 * [backup-simplify]: Simplify 1/4 into 1/4
8.445 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) in z
8.445 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in z
8.445 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.445 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.445 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.445 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.446 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.446 * [taylor]: Taking taylor expansion of x in z
8.446 * [backup-simplify]: Simplify x into x
8.446 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.446 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow x 2)) into (/ (sqrt 0.3333333333333333) (pow x 2))
8.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.446 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.446 * [taylor]: Taking taylor expansion of y in z
8.446 * [backup-simplify]: Simplify y into y
8.447 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.447 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.447 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y)))) in z
8.447 * [taylor]: Taking taylor expansion of 1/4 in z
8.447 * [backup-simplify]: Simplify 1/4 into 1/4
8.447 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow z 2)) (sqrt (/ 1 y))) in z
8.447 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.447 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.447 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.447 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.447 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.448 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.448 * [taylor]: Taking taylor expansion of z in z
8.448 * [backup-simplify]: Simplify 0 into 0
8.448 * [backup-simplify]: Simplify 1 into 1
8.448 * [backup-simplify]: Simplify (* 1 1) into 1
8.448 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in z
8.449 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.449 * [taylor]: Taking taylor expansion of y in z
8.449 * [backup-simplify]: Simplify y into y
8.449 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.449 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.449 * [backup-simplify]: Simplify (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) into (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))
8.450 * [backup-simplify]: Simplify (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) into (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))))
8.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.454 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 y))))) into 0
8.454 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (* 0 (sqrt (/ 1 y)))) into 0
8.454 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (sqrt (/ 1 y))) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))))) into 0
8.456 * [backup-simplify]: Simplify (+ (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) 0) into (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))))
8.456 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y)))) in x
8.456 * [taylor]: Taking taylor expansion of 1/4 in x
8.456 * [backup-simplify]: Simplify 1/4 into 1/4
8.456 * [taylor]: Taking taylor expansion of (* (/ (sqrt 0.3333333333333333) (pow x 2)) (sqrt (/ 1 y))) in x
8.456 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x
8.456 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.456 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.456 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.456 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.457 * [taylor]: Taking taylor expansion of x in x
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 1 into 1
8.457 * [backup-simplify]: Simplify (* 1 1) into 1
8.457 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
8.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.457 * [taylor]: Taking taylor expansion of y in x
8.457 * [backup-simplify]: Simplify y into y
8.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.458 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
8.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
8.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.463 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 y))))) into 0
8.464 * [backup-simplify]: Simplify (+ (* (sqrt 0.3333333333333333) 0) (* 0 (sqrt (/ 1 y)))) into 0
8.464 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (sqrt (/ 1 y))) into (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))
8.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 y)) (sqrt 0.3333333333333333))))) into 0
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [taylor]: Taking taylor expansion of 0 in x
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 y)))) into 0
8.468 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.468 * [taylor]: Taking taylor expansion of 0 in x
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 (- y)))) (sqrt 0.3333333333333333)) into (* (sqrt (* -1 y)) (sqrt 0.3333333333333333))
8.469 * * * [progress]: simplifying candidates
8.472 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt 1)
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x))))
  (sqrt (- (+ (pow y 2) (* z z)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (log (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt 1)
  (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))
  (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x)))))
  (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x))))
  (sqrt (- (+ (pow y 2) (* z z)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (+ (log (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (log (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (log (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (exp (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (* (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (* (* (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (cbrt (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))) (cbrt (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))))
  (cbrt (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (* (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (sqrt (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3)))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (* (sqrt (sqrt (+ (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (* x x)))))) (sqrt 3.0))
  (* (sqrt (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x))))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (* (sqrt (sqrt (- (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
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  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (* (cbrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)) (cbrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ 1 1)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 1)
  (* (cbrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))))
  (* (sqrt (sqrt (+ (pow (+ (pow y 2) (* z z)) 3) (pow (* x x) 3)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (sqrt (sqrt (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (* x x))))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (log (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (exp (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (cbrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))) (cbrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (cbrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (* (* (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (sqrt (* (cbrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)) (cbrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))
  (sqrt (cbrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt 3.0)))
  (sqrt (/ (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (* (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))) 1))
  (sqrt (/ (cbrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 3.0))
  (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) (sqrt 3.0)))
  (sqrt (/ (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (* (cbrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt (+ (+ (pow y 2) (* z z)) (* x x))))) 1))
  (sqrt (/ (sqrt (cbrt (+ (+ (pow y 2) (* z z)) (* x x)))) 3.0))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 1))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 3.0))
  (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (sqrt 1) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0)))
  (sqrt (/ (sqrt 1) 1))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 1))
  (sqrt (/ (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt 3.0)))
  (sqrt (/ 1 1))
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt 1)
  (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt (/ 1 3.0))
  (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x))))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0)))
  x
  y
  (* -1 y)
  x
  y
  (* -1 y)
  (* x (sqrt 0.3333333333333333))
  (* y (sqrt 0.3333333333333333))
  (* -1 (* y (sqrt 0.3333333333333333)))
  (- (+ (* +nan.0 (* x (sqrt 0.3333333333333333))) (- (+ (* +nan.0 (* (pow z 2) (sqrt 0.3333333333333333))) (- (* +nan.0 (* (pow y 2) (sqrt 0.3333333333333333))))))))
  (* (sqrt y) (sqrt 0.3333333333333333))
  (* (sqrt (* -1 y)) (sqrt 0.3333333333333333))
8.475 * * [simplify]: iteration 0: 185 enodes
8.526 * * [simplify]: iteration 1: 355 enodes
8.631 * * [simplify]: iteration 2: 1423 enodes
9.277 * * [simplify]: iteration complete: 5001 enodes
9.277 * * [simplify]: Extracting #0: cost 90 inf + 0
9.280 * * [simplify]: Extracting #1: cost 659 inf + 6
9.288 * * [simplify]: Extracting #2: cost 1297 inf + 87
9.299 * * [simplify]: Extracting #3: cost 1564 inf + 346
9.305 * * [simplify]: Extracting #4: cost 1360 inf + 2343
9.315 * * [simplify]: Extracting #5: cost 871 inf + 11328
9.326 * * [simplify]: Extracting #6: cost 245 inf + 26340
9.337 * * [simplify]: Extracting #7: cost 52 inf + 32504
9.346 * * [simplify]: Extracting #8: cost 0 inf + 34459
9.352 * [simplify]: Simplified to:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow x 6) (pow (+ (* y y) (* z z)) 3)))
  (sqrt (- (* x (pow x 3)) (* (+ (* y y) (* z z)) (- (* x x) (+ (* y y) (* z z))))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* x (pow x 3))))
  (sqrt (+ (* z z) (- (* y y) (* x x))))
  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))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow x 6) (pow (+ (* y y) (* z z)) 3)))
  (sqrt (- (* x (pow x 3)) (* (+ (* y y) (* z z)) (- (* x x) (+ (* y y) (* z z))))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* x (pow x 3))))
  (sqrt (+ (* z z) (- (* y y) (* x x))))
  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 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (pow (exp (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (pow (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) 3)
  (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))
  (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (pow (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) 3)
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow x 6) (pow (+ (* y y) (* z z)) 3)))))
  (* (sqrt (sqrt (- (* x (pow x 3)) (* (+ (* y y) (* z z)) (- (* x x) (+ (* y y) (* z z))))))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* x (pow x 3))))))
  (* (sqrt (sqrt (+ (* z z) (- (* y y) (* x x))))) (sqrt 3.0))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (cbrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (cbrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (fabs (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (fabs (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0))))
  (* (sqrt (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (fabs (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (/ (/ 1 (cbrt 3.0)) (cbrt 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 (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (/ (/ 1 (cbrt 3.0)) (cbrt 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 (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (sqrt (+ (pow x 6) (pow (+ (* y y) (* z z)) 3)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* x (pow x 3))))))
  (log (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (exp (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (cbrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (cbrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (cbrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (pow (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 3)
  (fabs (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (fabs (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))
  (sqrt (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (fabs (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))
  (sqrt (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))
  (sqrt (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  1
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))
  (sqrt (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  1
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  1
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (/ 1 3.0))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  x
  y
  (- y)
  x
  y
  (- y)
  (* x (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) y)
  (- (* y (sqrt 0.3333333333333333)))
  (- (* (sqrt 0.3333333333333333) (- (* +nan.0 x) (* +nan.0 (- (* z z) (* y y))))))
  (* (sqrt y) (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) (sqrt (- y)))
9.354 * * * [progress]: adding candidates to table
10.233 * [progress]: [Phase 3 of 3] Extracting.
10.234 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.235 * * * [regime-changes]: Trying 6 branch expressions: ((* z z) (* y y) (* x x) z y x)
10.235 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.393 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.539 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.652 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>)
10.732 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.860 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
10.983 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
11.168 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
11.334 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
11.485 * * * [regime]: Found split indices: #<option (#s(si 4 47) #s(si 5 102) #s(si 2 161) #s(si 0 208) #s(si 8 255))>
11.486 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
11.670 * [regimes]: Found splitpoints: (#s(sp 4 y -8.482917924797484e+119) #s(sp 5 y -1.6418988825485982e-140) #s(sp 2 y 1.9059416657880497e-142) #s(sp 0 y 3.650529274743424e+93) #s(sp 8 y +nan.0)) , with alts (#<alt (λ (x y z) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (pow y 2) (* z z)) (* x x)))) (sqrt (/ (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) 3.0))))> #<alt (λ (x y z) (fabs (/ z (sqrt 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (- (* y (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt 0.3333333333333333) y))> #<alt (λ (x y z) (fabs (/ (- y) (sqrt 3.0))))>)
11.670 * [simplify]: Simplifying:
  (if (<= y -8.482917924797484e+119) (- (* y (sqrt 0.3333333333333333))) (if (<= y -1.6418988825485982e-140) (fabs (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (sqrt 3.0))) (if (<= y 1.9059416657880497e-142) (fabs (/ z (sqrt 3.0))) (if (<= y 3.650529274743424e+93) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))) (fabs (/ (- y) (sqrt 3.0)))))))
11.671 * * [simplify]: iteration 0: 43 enodes
11.675 * * [simplify]: iteration 1: 56 enodes
11.680 * * [simplify]: iteration 2: 58 enodes
11.685 * * [simplify]: iteration complete: 58 enodes
11.685 * * [simplify]: Extracting #0: cost 1 inf + 0
11.685 * * [simplify]: Extracting #1: cost 4 inf + 0
11.686 * * [simplify]: Extracting #2: cost 13 inf + 0
11.686 * * [simplify]: Extracting #3: cost 17 inf + 2
11.686 * * [simplify]: Extracting #4: cost 20 inf + 9
11.686 * * [simplify]: Extracting #5: cost 22 inf + 22
11.686 * * [simplify]: Extracting #6: cost 22 inf + 33
11.686 * * [simplify]: Extracting #7: cost 21 inf + 52
11.686 * * [simplify]: Extracting #8: cost 18 inf + 69
11.686 * * [simplify]: Extracting #9: cost 15 inf + 80
11.687 * * [simplify]: Extracting #10: cost 10 inf + 114
11.687 * * [simplify]: Extracting #11: cost 7 inf + 152
11.687 * * [simplify]: Extracting #12: cost 6 inf + 163
11.687 * * [simplify]: Extracting #13: cost 3 inf + 219
11.687 * * [simplify]: Extracting #14: cost 0 inf + 376
11.687 * [simplify]: Simplified to:
  (if (<= y -8.482917924797484e+119) (* y (- (sqrt 0.3333333333333333))) (if (<= y -1.6418988825485982e-140) (fabs (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))) (if (<= y 1.9059416657880497e-142) (fabs (/ z (sqrt 3.0))) (if (<= y 3.650529274743424e+93) (* (sqrt (+ (+ (pow y 2) (* z z)) (* x x))) (sqrt (/ 1 3.0))) (fabs (/ (- y) (sqrt 3.0)))))))
14.107 * [regime-testing]: Baseline error score: 38.20664531977433
14.110 * [regime-testing]: Oracle error score: 6.388799443508112
14.115 * [regime-testing]: End program error score: 25.98066954026808
14.277 * [regime-testing]: Target error score: 25.40816181131301