37.398 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.045 * [progress]: [Phase 2 of 3] Improving.
0.045 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.046 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.046 * * [simplify]: iteration 0: 11 enodes
0.059 * * [simplify]: iteration 1: 15 enodes
0.075 * * [simplify]: iteration 2: 21 enodes
0.091 * * [simplify]: iteration 3: 22 enodes
0.101 * * [simplify]: iteration complete: 22 enodes
0.101 * * [simplify]: Extracting #0: cost 1 inf + 0
0.101 * * [simplify]: Extracting #1: cost 2 inf + 0
0.101 * * [simplify]: Extracting #2: cost 4 inf + 0
0.101 * * [simplify]: Extracting #3: cost 9 inf + 1
0.101 * * [simplify]: Extracting #4: cost 12 inf + 1
0.101 * * [simplify]: Extracting #5: cost 8 inf + 45
0.101 * * [simplify]: Extracting #6: cost 5 inf + 249
0.101 * * [simplify]: Extracting #7: cost 1 inf + 940
0.101 * * [simplify]: Extracting #8: cost 0 inf + 1224
0.102 * [simplify]: Simplified to:
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
0.103 * * [progress]: iteration 1 / 4
0.103 * * * [progress]: picking best candidate
0.112 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.112 * * * [progress]: localizing error
0.161 * * * [progress]: generating rewritten candidates
0.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.240 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.406 * * * [progress]: generating series expansions
0.406 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.407 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
0.407 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.407 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.407 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.407 * [taylor]: Taking taylor expansion of y in z
0.407 * [backup-simplify]: Simplify y into y
0.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.407 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.408 * [taylor]: Taking taylor expansion of x in z
0.408 * [backup-simplify]: Simplify x into x
0.408 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.408 * [taylor]: Taking taylor expansion of z in z
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.408 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.409 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.410 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.410 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.411 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.413 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.414 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.414 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.414 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.415 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.415 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.415 * [taylor]: Taking taylor expansion of y in y
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.415 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.415 * [taylor]: Taking taylor expansion of x in y
0.415 * [backup-simplify]: Simplify x into x
0.416 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.416 * [taylor]: Taking taylor expansion of z in y
0.416 * [backup-simplify]: Simplify z into z
0.416 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.416 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.417 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.418 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.419 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.420 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.422 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.422 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.422 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.422 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.423 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.424 * [taylor]: Taking taylor expansion of y in x
0.424 * [backup-simplify]: Simplify y into y
0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.424 * [taylor]: Taking taylor expansion of z in x
0.424 * [backup-simplify]: Simplify z into z
0.424 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.424 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.425 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.425 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.426 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.427 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
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 (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.430 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.430 * [taylor]: Taking taylor expansion of y in x
0.430 * [backup-simplify]: Simplify y into y
0.430 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.431 * [taylor]: Taking taylor expansion of z in x
0.431 * [backup-simplify]: Simplify z into z
0.431 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.431 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.431 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.432 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.432 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.432 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.432 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.433 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.433 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.434 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.435 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.435 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.435 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.435 * [taylor]: Taking taylor expansion of y in y
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.435 * [taylor]: Taking taylor expansion of z in y
0.435 * [backup-simplify]: Simplify z into z
0.435 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.436 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.436 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.436 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.436 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.436 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.436 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.437 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.438 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.438 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.438 * [taylor]: Taking taylor expansion of z in z
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.438 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.438 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.438 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.439 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in y
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [taylor]: Taking taylor expansion of 0 in z
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.441 * [taylor]: Taking taylor expansion of 0 in z
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.442 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.444 * [backup-simplify]: Simplify (* 1 1) into 1
0.444 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.444 * [backup-simplify]: Simplify (+ 1 0) into 1
0.445 * [backup-simplify]: Simplify (+ 0 1) into 1
0.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
0.448 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
0.448 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.448 * [taylor]: Taking taylor expansion of 1/2 in y
0.448 * [backup-simplify]: Simplify 1/2 into 1/2
0.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.448 * [taylor]: Taking taylor expansion of y in y
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.448 * [taylor]: Taking taylor expansion of z in y
0.448 * [backup-simplify]: Simplify z into z
0.448 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.448 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.449 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.449 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.449 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.450 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.450 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.450 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.450 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.451 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.452 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.452 * [taylor]: Taking taylor expansion of 1/2 in z
0.452 * [backup-simplify]: Simplify 1/2 into 1/2
0.452 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.452 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.452 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.452 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.452 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.452 * [taylor]: Taking taylor expansion of z in z
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [taylor]: Taking taylor expansion of 0 in z
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.456 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.456 * [backup-simplify]: Simplify (+ 1 0) into 1
0.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.457 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.457 * [taylor]: Taking taylor expansion of 1/2 in z
0.458 * [backup-simplify]: Simplify 1/2 into 1/2
0.458 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.458 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.458 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.458 * [taylor]: Taking taylor expansion of z in z
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.467 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.467 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.467 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.467 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.467 * [taylor]: Taking taylor expansion of y in z
0.467 * [backup-simplify]: Simplify y into y
0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.468 * [taylor]: Taking taylor expansion of x in z
0.468 * [backup-simplify]: Simplify x into x
0.468 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.468 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.468 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.468 * [taylor]: Taking taylor expansion of z in z
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [backup-simplify]: Simplify (+ 0 1) into 1
0.470 * [backup-simplify]: Simplify (+ 0 1) into 1
0.471 * [backup-simplify]: Simplify (sqrt 1) into 1
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.474 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.474 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.475 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.475 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.475 * [taylor]: Taking taylor expansion of y in y
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.476 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.476 * [taylor]: Taking taylor expansion of x in y
0.476 * [backup-simplify]: Simplify x into x
0.476 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.476 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.476 * [taylor]: Taking taylor expansion of z in y
0.476 * [backup-simplify]: Simplify z into z
0.476 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.477 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (sqrt 1) into 1
0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.479 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.479 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.479 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.479 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.480 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.480 * [backup-simplify]: Simplify y into y
0.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.481 * [taylor]: Taking taylor expansion of z in x
0.481 * [backup-simplify]: Simplify z into z
0.481 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.481 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.481 * [backup-simplify]: Simplify (+ 1 0) into 1
0.482 * [backup-simplify]: Simplify (+ 0 1) into 1
0.482 * [backup-simplify]: Simplify (sqrt 1) into 1
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.484 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.484 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.484 * [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 x
0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.485 * [taylor]: Taking taylor expansion of y in x
0.485 * [backup-simplify]: Simplify y into y
0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.485 * [taylor]: Taking taylor expansion of x in x
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.486 * [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 z 2)) in x
0.486 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.486 * [taylor]: Taking taylor expansion of z in x
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))
0.486 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [backup-simplify]: Simplify (+ 0 1) into 1
0.487 * [backup-simplify]: Simplify (sqrt 1) into 1
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.489 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.489 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.489 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.490 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
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
0.491 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in y
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.492 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.492 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.492 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.495 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.497 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.498 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.499 * [taylor]: Taking taylor expansion of 1/2 in y
0.499 * [backup-simplify]: Simplify 1/2 into 1/2
0.499 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.499 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.499 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.499 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.499 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.499 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.499 * [taylor]: Taking taylor expansion of z in y
0.499 * [backup-simplify]: Simplify z into z
0.500 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.500 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.500 * [taylor]: Taking taylor expansion of 1/2 in y
0.500 * [backup-simplify]: Simplify 1/2 into 1/2
0.500 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.500 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.500 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.500 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.500 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.501 * [taylor]: Taking taylor expansion of y in y
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.502 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [taylor]: Taking taylor expansion of 0 in z
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [taylor]: Taking taylor expansion of 0 in z
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [taylor]: Taking taylor expansion of 0 in z
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in y
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.524 * [taylor]: Taking taylor expansion of 1/2 in z
0.524 * [backup-simplify]: Simplify 1/2 into 1/2
0.524 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.524 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.525 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.525 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.525 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.525 * [taylor]: Taking taylor expansion of z in z
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [taylor]: Taking taylor expansion of 0 in z
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.529 * [taylor]: Taking taylor expansion of 0 in z
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
0.542 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
0.542 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
0.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.542 * [taylor]: Taking taylor expansion of 1/4 in y
0.542 * [backup-simplify]: Simplify 1/4 into 1/4
0.542 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.542 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.542 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.542 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.543 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.543 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.543 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.543 * [taylor]: Taking taylor expansion of z in y
0.543 * [backup-simplify]: Simplify z into z
0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.543 * [taylor]: Taking taylor expansion of y in y
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.544 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.544 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.544 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.544 * [taylor]: Taking taylor expansion of 1/8 in y
0.545 * [backup-simplify]: Simplify 1/8 into 1/8
0.545 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.545 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.545 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.545 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.545 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.545 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.545 * [taylor]: Taking taylor expansion of y in y
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.547 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.547 * [taylor]: Taking taylor expansion of 1/8 in y
0.547 * [backup-simplify]: Simplify 1/8 into 1/8
0.547 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.547 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.547 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.547 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.547 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.548 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.548 * [taylor]: Taking taylor expansion of z in y
0.548 * [backup-simplify]: Simplify z into z
0.548 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.549 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.550 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.552 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.554 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (- 0) into 0
0.571 * [taylor]: Taking taylor expansion of 0 in z
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [taylor]: Taking taylor expansion of 0 in z
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [taylor]: Taking taylor expansion of 0 in z
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [taylor]: Taking taylor expansion of 0 in z
0.581 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.583 * [taylor]: Taking taylor expansion of 0 in z
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
0.590 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.590 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.590 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.591 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.591 * [taylor]: Taking taylor expansion of y in z
0.591 * [backup-simplify]: Simplify y into y
0.591 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.591 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.591 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.591 * [taylor]: Taking taylor expansion of x in z
0.592 * [backup-simplify]: Simplify x into x
0.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.592 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.592 * [taylor]: Taking taylor expansion of z in z
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (* 1 1) into 1
0.593 * [backup-simplify]: Simplify (/ 1 1) into 1
0.594 * [backup-simplify]: Simplify (+ 0 1) into 1
0.594 * [backup-simplify]: Simplify (+ 0 1) into 1
0.594 * [backup-simplify]: Simplify (sqrt 1) into 1
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.598 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.598 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.598 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.598 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.599 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.599 * [taylor]: Taking taylor expansion of y in y
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.600 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (/ 1 1) into 1
0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.600 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.600 * [taylor]: Taking taylor expansion of x in y
0.600 * [backup-simplify]: Simplify x into x
0.600 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.601 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.601 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.601 * [taylor]: Taking taylor expansion of z in y
0.601 * [backup-simplify]: Simplify z into z
0.601 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.602 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.602 * [backup-simplify]: Simplify (+ 1 0) into 1
0.602 * [backup-simplify]: Simplify (sqrt 1) into 1
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.605 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.606 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.607 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.607 * [taylor]: Taking taylor expansion of y in x
0.607 * [backup-simplify]: Simplify y into y
0.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.608 * [taylor]: Taking taylor expansion of x in x
0.608 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (* 1 1) into 1
0.609 * [backup-simplify]: Simplify (/ 1 1) into 1
0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.609 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.609 * [taylor]: Taking taylor expansion of z in x
0.609 * [backup-simplify]: Simplify z into z
0.609 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.609 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.610 * [backup-simplify]: Simplify (+ 1 0) into 1
0.610 * [backup-simplify]: Simplify (+ 0 1) into 1
0.611 * [backup-simplify]: Simplify (sqrt 1) into 1
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.614 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.614 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.614 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.614 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.615 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.615 * [taylor]: Taking taylor expansion of y in x
0.616 * [backup-simplify]: Simplify y into y
0.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.616 * [taylor]: Taking taylor expansion of x in x
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (* 1 1) into 1
0.617 * [backup-simplify]: Simplify (/ 1 1) into 1
0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.617 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.617 * [taylor]: Taking taylor expansion of z in x
0.617 * [backup-simplify]: Simplify z into z
0.617 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.618 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.618 * [backup-simplify]: Simplify (+ 1 0) into 1
0.619 * [backup-simplify]: Simplify (+ 0 1) into 1
0.619 * [backup-simplify]: Simplify (sqrt 1) into 1
0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (+ 0 0) into 0
0.622 * [backup-simplify]: Simplify (+ 0 0) into 0
0.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.622 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.623 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.623 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.625 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.625 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.625 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.625 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.625 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.627 * [taylor]: Taking taylor expansion of 0 in y
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.627 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.628 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.634 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.637 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.640 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.640 * [taylor]: Taking taylor expansion of 1/2 in y
0.640 * [backup-simplify]: Simplify 1/2 into 1/2
0.640 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.640 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.640 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.640 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.641 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.641 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.642 * [taylor]: Taking taylor expansion of z in y
0.642 * [backup-simplify]: Simplify z into z
0.642 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.643 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.643 * [taylor]: Taking taylor expansion of 1/2 in y
0.643 * [backup-simplify]: Simplify 1/2 into 1/2
0.643 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.643 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.643 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.643 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.643 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.644 * [taylor]: Taking taylor expansion of y in y
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.645 * [backup-simplify]: Simplify (* 1 1) into 1
0.646 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.649 * [backup-simplify]: Simplify (+ 0 0) into 0
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.651 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.656 * [backup-simplify]: Simplify (+ 0 0) into 0
0.657 * [backup-simplify]: Simplify (+ 0 0) into 0
0.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.662 * [taylor]: Taking taylor expansion of 0 in y
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.669 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.669 * [taylor]: Taking taylor expansion of 1/2 in z
0.669 * [backup-simplify]: Simplify 1/2 into 1/2
0.669 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.669 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.669 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.670 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.670 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.671 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.671 * [taylor]: Taking taylor expansion of z in z
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [taylor]: Taking taylor expansion of 0 in z
0.675 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.677 * [taylor]: Taking taylor expansion of 0 in z
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.691 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
0.695 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
0.695 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
0.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.696 * [taylor]: Taking taylor expansion of 1/4 in y
0.696 * [backup-simplify]: Simplify 1/4 into 1/4
0.696 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.696 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.696 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.696 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.696 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.696 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.696 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.696 * [taylor]: Taking taylor expansion of z in y
0.696 * [backup-simplify]: Simplify z into z
0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.697 * [taylor]: Taking taylor expansion of y in y
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.697 * [backup-simplify]: Simplify (* 1 1) into 1
0.697 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.698 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.698 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.698 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.698 * [taylor]: Taking taylor expansion of 1/8 in y
0.698 * [backup-simplify]: Simplify 1/8 into 1/8
0.698 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.698 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.698 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.698 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.698 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.699 * [taylor]: Taking taylor expansion of (pow y 4) 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.699 * [backup-simplify]: Simplify (* 1 1) into 1
0.700 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.700 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.700 * [taylor]: Taking taylor expansion of 1/8 in y
0.700 * [backup-simplify]: Simplify 1/8 into 1/8
0.700 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.700 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.700 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.700 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.700 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.701 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.701 * [taylor]: Taking taylor expansion of z in y
0.701 * [backup-simplify]: Simplify z into z
0.701 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.701 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.702 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.702 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.703 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.704 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.713 * [backup-simplify]: Simplify (+ 0 0) into 0
0.713 * [backup-simplify]: Simplify (+ 0 0) into 0
0.713 * [backup-simplify]: Simplify (- 0) into 0
0.713 * [taylor]: Taking taylor expansion of 0 in z
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [taylor]: Taking taylor expansion of 0 in z
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.715 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.722 * [taylor]: Taking taylor expansion of 0 in z
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [taylor]: Taking taylor expansion of 0 in z
0.722 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.723 * [taylor]: Taking taylor expansion of 0 in z
0.723 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
0.730 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.731 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.731 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.731 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.731 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.731 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.731 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.731 * [taylor]: Taking taylor expansion of y in z
0.731 * [backup-simplify]: Simplify y into y
0.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.731 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.731 * [taylor]: Taking taylor expansion of x in z
0.731 * [backup-simplify]: Simplify x into x
0.731 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.731 * [taylor]: Taking taylor expansion of z in z
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 1 into 1
0.731 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.731 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.731 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.731 * [taylor]: Taking taylor expansion of y in y
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 1 into 1
0.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 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 * [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 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.731 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.731 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.731 * [taylor]: Taking taylor expansion of y in x
0.731 * [backup-simplify]: Simplify y into y
0.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.732 * [taylor]: Taking taylor expansion of x in x
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.732 * [taylor]: Taking taylor expansion of z in x
0.732 * [backup-simplify]: Simplify z into z
0.732 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.732 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.732 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.732 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.732 * [taylor]: Taking taylor expansion of y in x
0.732 * [backup-simplify]: Simplify y into y
0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.732 * [taylor]: Taking taylor expansion of x in x
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.732 * [taylor]: Taking taylor expansion of z in x
0.732 * [backup-simplify]: Simplify z into z
0.732 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.732 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.732 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.733 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.733 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
0.733 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
0.733 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.733 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.733 * [taylor]: Taking taylor expansion of y in y
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify 1 into 1
0.733 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.733 * [taylor]: Taking taylor expansion of z in y
0.734 * [backup-simplify]: Simplify z into z
0.734 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.734 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.734 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.734 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.734 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.734 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.734 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.734 * [taylor]: Taking taylor expansion of z in z
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.734 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.735 * [backup-simplify]: Simplify (+ 0 0) into 0
0.735 * [backup-simplify]: Simplify (+ 0 0) into 0
0.736 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
0.736 * [taylor]: Taking taylor expansion of 0 in y
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [taylor]: Taking taylor expansion of 0 in z
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.736 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
0.737 * [taylor]: Taking taylor expansion of 0 in z
0.737 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.738 * [backup-simplify]: Simplify (* 1 1) into 1
0.738 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.738 * [backup-simplify]: Simplify (+ 1 0) into 1
0.739 * [backup-simplify]: Simplify (+ 0 1) into 1
0.740 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
0.740 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.740 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.740 * [taylor]: Taking taylor expansion of 0 in z
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (* 1 1) into 1
0.741 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.741 * [backup-simplify]: Simplify (+ 1 0) into 1
0.742 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.742 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.742 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.742 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (* 1 1) into 1
0.743 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.743 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.744 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.745 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.745 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.745 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.745 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.745 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.745 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.745 * [taylor]: Taking taylor expansion of y in z
0.745 * [backup-simplify]: Simplify y into y
0.745 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.745 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.745 * [taylor]: Taking taylor expansion of x in z
0.745 * [backup-simplify]: Simplify x into x
0.746 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.746 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.746 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.746 * [taylor]: Taking taylor expansion of z in z
0.746 * [backup-simplify]: Simplify 0 into 0
0.746 * [backup-simplify]: Simplify 1 into 1
0.746 * [backup-simplify]: Simplify (* 1 1) into 1
0.746 * [backup-simplify]: Simplify (/ 1 1) into 1
0.746 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.746 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.747 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.747 * [taylor]: Taking taylor expansion of y in y
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.747 * [backup-simplify]: Simplify (* 1 1) into 1
0.747 * [backup-simplify]: Simplify (/ 1 1) into 1
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.747 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.747 * [taylor]: Taking taylor expansion of x in y
0.747 * [backup-simplify]: Simplify x into x
0.747 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.748 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.748 * [taylor]: Taking taylor expansion of z in y
0.748 * [backup-simplify]: Simplify z into z
0.748 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.748 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.748 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.748 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.748 * [taylor]: Taking taylor expansion of y in x
0.748 * [backup-simplify]: Simplify y into y
0.748 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.749 * [taylor]: Taking taylor expansion of x in x
0.749 * [backup-simplify]: Simplify 0 into 0
0.749 * [backup-simplify]: Simplify 1 into 1
0.749 * [backup-simplify]: Simplify (* 1 1) into 1
0.749 * [backup-simplify]: Simplify (/ 1 1) into 1
0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.749 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.749 * [taylor]: Taking taylor expansion of z in x
0.749 * [backup-simplify]: Simplify z into z
0.749 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.749 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.750 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.750 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.750 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.750 * [taylor]: Taking taylor expansion of y in x
0.750 * [backup-simplify]: Simplify y into y
0.750 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.750 * [taylor]: Taking taylor expansion of x in x
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 1 into 1
0.750 * [backup-simplify]: Simplify (* 1 1) into 1
0.751 * [backup-simplify]: Simplify (/ 1 1) into 1
0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.751 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.751 * [taylor]: Taking taylor expansion of z in x
0.751 * [backup-simplify]: Simplify z into z
0.751 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.751 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.751 * [backup-simplify]: Simplify (+ 1 0) into 1
0.752 * [backup-simplify]: Simplify (+ 0 1) into 1
0.752 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.752 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.752 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ 0 0) into 0
0.753 * [backup-simplify]: Simplify (+ 0 0) into 0
0.754 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.754 * [taylor]: Taking taylor expansion of 0 in y
0.754 * [backup-simplify]: Simplify 0 into 0
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.755 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.756 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.757 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.757 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.757 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.757 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.757 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.757 * [taylor]: Taking taylor expansion of y in y
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.758 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.758 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.758 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.758 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.758 * [taylor]: Taking taylor expansion of z in y
0.758 * [backup-simplify]: Simplify z into z
0.758 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.758 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.759 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.759 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.759 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.759 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.759 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.759 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.764 * [backup-simplify]: Simplify (+ 0 0) into 0
0.765 * [backup-simplify]: Simplify (+ 0 0) into 0
0.767 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.767 * [taylor]: Taking taylor expansion of 0 in y
0.767 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.770 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.770 * [backup-simplify]: Simplify (+ 0 0) into 0
0.770 * [taylor]: Taking taylor expansion of 0 in z
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [taylor]: Taking taylor expansion of 0 in z
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [taylor]: Taking taylor expansion of 0 in z
0.770 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.776 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.778 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [backup-simplify]: Simplify (+ 0 0) into 0
0.781 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.781 * [taylor]: Taking taylor expansion of 0 in y
0.782 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.785 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.786 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.786 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.786 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.786 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.786 * [taylor]: Taking taylor expansion of z in z
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 1 into 1
0.787 * [backup-simplify]: Simplify (* 1 1) into 1
0.787 * [backup-simplify]: Simplify (/ 1 1) into 1
0.788 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.788 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.788 * [taylor]: Taking taylor expansion of 0 in z
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [taylor]: Taking taylor expansion of 0 in z
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.788 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.791 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.793 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.793 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.793 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.793 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.793 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.793 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.793 * [taylor]: Taking taylor expansion of y in z
0.794 * [backup-simplify]: Simplify y into y
0.794 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.794 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.794 * [taylor]: Taking taylor expansion of x in z
0.794 * [backup-simplify]: Simplify x into x
0.794 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.795 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.795 * [taylor]: Taking taylor expansion of z in z
0.795 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify 1 into 1
0.796 * [backup-simplify]: Simplify (* 1 1) into 1
0.796 * [backup-simplify]: Simplify (/ 1 1) into 1
0.796 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.796 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.796 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.797 * [taylor]: Taking taylor expansion of y in y
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 1 into 1
0.797 * [backup-simplify]: Simplify (* 1 1) into 1
0.797 * [backup-simplify]: Simplify (/ 1 1) into 1
0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.797 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.798 * [taylor]: Taking taylor expansion of x in y
0.798 * [backup-simplify]: Simplify x into x
0.798 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.798 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.798 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.798 * [taylor]: Taking taylor expansion of z in y
0.798 * [backup-simplify]: Simplify z into z
0.798 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.799 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.799 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.799 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.799 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.799 * [taylor]: Taking taylor expansion of y in x
0.799 * [backup-simplify]: Simplify y into y
0.799 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.800 * [taylor]: Taking taylor expansion of x in x
0.800 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (* 1 1) into 1
0.801 * [backup-simplify]: Simplify (/ 1 1) into 1
0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.801 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.801 * [taylor]: Taking taylor expansion of z in x
0.801 * [backup-simplify]: Simplify z into z
0.801 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.801 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.802 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.802 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.802 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.802 * [taylor]: Taking taylor expansion of y in x
0.802 * [backup-simplify]: Simplify y into y
0.802 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.802 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.802 * [taylor]: Taking taylor expansion of x in x
0.803 * [backup-simplify]: Simplify 0 into 0
0.803 * [backup-simplify]: Simplify 1 into 1
0.803 * [backup-simplify]: Simplify (* 1 1) into 1
0.803 * [backup-simplify]: Simplify (/ 1 1) into 1
0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.803 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.803 * [taylor]: Taking taylor expansion of z in x
0.804 * [backup-simplify]: Simplify z into z
0.804 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.804 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.805 * [backup-simplify]: Simplify (+ 1 0) into 1
0.805 * [backup-simplify]: Simplify (+ 0 1) into 1
0.806 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.806 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.806 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (+ 0 0) into 0
0.808 * [backup-simplify]: Simplify (+ 0 0) into 0
0.809 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.809 * [taylor]: Taking taylor expansion of 0 in y
0.809 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.813 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.815 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.815 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.815 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.815 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.815 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.815 * [taylor]: Taking taylor expansion of y in y
0.815 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify 1 into 1
0.816 * [backup-simplify]: Simplify (* 1 1) into 1
0.816 * [backup-simplify]: Simplify (/ 1 1) into 1
0.816 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.816 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.816 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.817 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.817 * [taylor]: Taking taylor expansion of z in y
0.817 * [backup-simplify]: Simplify z into z
0.817 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.817 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.818 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.818 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.818 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.818 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.818 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.818 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.819 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.826 * [backup-simplify]: Simplify (+ 0 0) into 0
0.826 * [backup-simplify]: Simplify (+ 0 0) into 0
0.829 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.829 * [taylor]: Taking taylor expansion of 0 in y
0.829 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.832 * [backup-simplify]: Simplify (+ 0 0) into 0
0.832 * [taylor]: Taking taylor expansion of 0 in z
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [taylor]: Taking taylor expansion of 0 in z
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [taylor]: Taking taylor expansion of 0 in z
0.832 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.838 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.843 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.843 * [taylor]: Taking taylor expansion of 0 in y
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.847 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.848 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.848 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.848 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.848 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.848 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.848 * [taylor]: Taking taylor expansion of z in z
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (* 1 1) into 1
0.849 * [backup-simplify]: Simplify (/ 1 1) into 1
0.849 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.849 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.850 * [taylor]: Taking taylor expansion of 0 in z
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [taylor]: Taking taylor expansion of 0 in z
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.854 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.854 * * * [progress]: simplifying candidates
0.854 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1/2))>
0.854 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1))>
0.854 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.854 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.854 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.855 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.855 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.855 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.855 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.855 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))))>
0.855 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))))>
0.855 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.855 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.855 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
0.855 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))>
0.855 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 2)))>
0.855 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.855 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.855 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
0.856 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.856 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (posit16->real (real->posit16 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1)))>
0.856 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)))))>
0.856 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (log (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)))))>
0.856 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.856 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0))))>
0.856 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.856 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.856 * * * * [progress]: [ 39 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.856 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.857 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.857 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.857 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))))>
0.857 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))))>
0.857 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.857 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* 1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.857 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))))>
0.857 * * * * [progress]: [ 48 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.857 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))>
0.857 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (sqrt 3.0))))>
0.857 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) 1) 3.0)))>
0.857 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))>
0.857 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
0.857 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.857 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))))>
0.858 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))))))>
0.858 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
0.858 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
0.858 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
0.858 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.858 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.858 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.859 * [simplify]: Simplifying:
  (real->posit16 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt 1)
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (real->posit16 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0))
  (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0))
  (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (- (+ (+ (* x x) (* y y)) (* z z)))
  (- 3.0)
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ 1 1)
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 1)
  (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (* 3.0 (- (+ (* x x) (* y y)) (* z z)))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.863 * * [simplify]: iteration 0: 109 enodes
1.001 * * [simplify]: iteration 1: 219 enodes
1.215 * * [simplify]: iteration 2: 652 enodes
2.119 * * [simplify]: iteration 3: 3110 enodes
5.032 * * [simplify]: iteration complete: 5014 enodes
5.032 * * [simplify]: Extracting #0: cost 65 inf + 0
5.033 * * [simplify]: Extracting #1: cost 360 inf + 2
5.035 * * [simplify]: Extracting #2: cost 790 inf + 705
5.042 * * [simplify]: Extracting #3: cost 1544 inf + 19014
5.138 * * [simplify]: Extracting #4: cost 844 inf + 276245
5.261 * * [simplify]: Extracting #5: cost 83 inf + 489236
5.416 * * [simplify]: Extracting #6: cost 0 inf + 519835
5.628 * [simplify]: Simplified to:
  (real->posit16 (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (log (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (exp (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))) (cbrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (* (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0) (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (fabs (cbrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (sqrt (cbrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (fabs (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0)))
  (sqrt (* (cbrt (+ (+ (* z z) (* x x)) (* y y))) (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))))
  (sqrt (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)))
  (fabs (cbrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) 3.0))
  (sqrt (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) (sqrt 3.0)))
  1
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  1
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (real->posit16 (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (log (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (log (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (exp (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (* (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0) (* (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0) (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (* (cbrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)) (cbrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (cbrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (* (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0) (* (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0) (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)))
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (sqrt (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0))
  (- (- (* (- y) y) (* x x)) (* z z))
  (- 3.0)
  (* (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0)) (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0))
  (* (cbrt (+ (+ (* z z) (* x x)) (* y y))) (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)))
  (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
  (* (cbrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt (+ (+ (* z z) (* x x)) (* y y))))
  (/ (cbrt (+ (+ (* z z) (* x x)) (* y y))) 3.0)
  (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* z z) (* x x)) (* y y)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* z z) (* x x)) (* y y)) (sqrt 3.0))
  1
  (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* z z) (* x x)) (* y y)))
  (/ (/ (+ (+ (* z z) (* x x)) (* y y)) (cbrt 3.0)) (cbrt 3.0))
  (/ (+ (+ (* z z) (* x x)) (* y y)) (sqrt 3.0))
  (+ (+ (* z z) (* x x)) (* y y))
  (/ 3.0 (cbrt (+ (+ (* z z) (* x x)) (* y y))))
  (/ 3.0 (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (/ 3.0 (+ (+ (* z z) (* x x)) (* y y)))
  (* 3.0 (- (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))) (* (* z z) (+ (* y y) (* x x)))))
  (* (+ (- (* x x) (* z z)) (* y y)) 3.0)
  (* z (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) x)
  (* x (- (sqrt 0.3333333333333333)))
  (* 0.3333333333333333 (+ (+ (* z z) (* x x)) (* y y)))
  (* 0.3333333333333333 (+ (+ (* z z) (* x x)) (* y y)))
  (* 0.3333333333333333 (+ (+ (* z z) (* x x)) (* y y)))
5.634 * * * [progress]: adding candidates to table
6.412 * * [progress]: iteration 2 / 4
6.412 * * * [progress]: picking best candidate
6.498 * * * * [pick]: Picked  #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))>
6.498 * * * [progress]: localizing error
6.532 * * * [progress]: generating rewritten candidates
6.532 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
6.576 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
6.659 * * * [progress]: generating series expansions
6.659 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
6.660 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
6.660 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
6.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
6.660 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
6.660 * [taylor]: Taking taylor expansion of (pow y 2) in z
6.660 * [taylor]: Taking taylor expansion of y in z
6.660 * [backup-simplify]: Simplify y into y
6.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
6.660 * [taylor]: Taking taylor expansion of (pow x 2) in z
6.660 * [taylor]: Taking taylor expansion of x in z
6.660 * [backup-simplify]: Simplify x into x
6.660 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.660 * [taylor]: Taking taylor expansion of z in z
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify 1 into 1
6.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.660 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.661 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.661 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
6.661 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
6.662 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.662 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.662 * [backup-simplify]: Simplify (+ 0 0) into 0
6.662 * [backup-simplify]: Simplify (+ 0 0) into 0
6.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
6.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
6.663 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
6.663 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.663 * [taylor]: Taking taylor expansion of y in y
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 1 into 1
6.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
6.663 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.663 * [taylor]: Taking taylor expansion of x in y
6.663 * [backup-simplify]: Simplify x into x
6.663 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.663 * [taylor]: Taking taylor expansion of z in y
6.663 * [backup-simplify]: Simplify z into z
6.663 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.663 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.664 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
6.664 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
6.665 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
6.665 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.665 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.665 * [backup-simplify]: Simplify (+ 0 0) into 0
6.666 * [backup-simplify]: Simplify (+ 0 0) into 0
6.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
6.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
6.666 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
6.666 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.666 * [taylor]: Taking taylor expansion of y in x
6.666 * [backup-simplify]: Simplify y into y
6.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
6.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.666 * [taylor]: Taking taylor expansion of x in x
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify 1 into 1
6.666 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.666 * [taylor]: Taking taylor expansion of z in x
6.666 * [backup-simplify]: Simplify z into z
6.666 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.667 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.667 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.668 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
6.669 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
6.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.669 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.669 * [backup-simplify]: Simplify (+ 0 0) into 0
6.670 * [backup-simplify]: Simplify (+ 0 0) into 0
6.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
6.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
6.671 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
6.671 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.671 * [taylor]: Taking taylor expansion of y in x
6.671 * [backup-simplify]: Simplify y into y
6.671 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
6.671 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.671 * [taylor]: Taking taylor expansion of x in x
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 1 into 1
6.671 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.671 * [taylor]: Taking taylor expansion of z in x
6.671 * [backup-simplify]: Simplify z into z
6.671 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.672 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.672 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.673 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
6.674 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
6.674 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.674 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.675 * [backup-simplify]: Simplify (+ 0 0) into 0
6.675 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
6.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
6.676 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
6.676 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.676 * [taylor]: Taking taylor expansion of y in y
6.676 * [backup-simplify]: Simplify 0 into 0
6.676 * [backup-simplify]: Simplify 1 into 1
6.676 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.676 * [taylor]: Taking taylor expansion of z in y
6.676 * [backup-simplify]: Simplify z into z
6.677 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.677 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.677 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
6.678 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.678 * [backup-simplify]: Simplify (+ 0 0) into 0
6.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
6.679 * [taylor]: Taking taylor expansion of z in z
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [taylor]: Taking taylor expansion of 0 in y
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [taylor]: Taking taylor expansion of 0 in z
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [taylor]: Taking taylor expansion of 0 in z
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.680 * [backup-simplify]: Simplify (* 1 1) into 1
6.681 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.681 * [backup-simplify]: Simplify (+ 1 0) into 1
6.682 * [backup-simplify]: Simplify (+ 0 1) into 1
6.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
6.683 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
6.684 * [taylor]: Taking taylor expansion of 1/2 in y
6.684 * [backup-simplify]: Simplify 1/2 into 1/2
6.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
6.684 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
6.684 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
6.684 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.684 * [taylor]: Taking taylor expansion of y in y
6.684 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify 1 into 1
6.684 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.684 * [taylor]: Taking taylor expansion of z in y
6.684 * [backup-simplify]: Simplify z into z
6.684 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.684 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.685 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.685 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
6.686 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
6.687 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
6.687 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
6.687 * [taylor]: Taking taylor expansion of 1/2 in z
6.687 * [backup-simplify]: Simplify 1/2 into 1/2
6.687 * [taylor]: Taking taylor expansion of z in z
6.687 * [backup-simplify]: Simplify 0 into 0
6.687 * [backup-simplify]: Simplify 1 into 1
6.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [taylor]: Taking taylor expansion of 0 in z
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify (* 1 1) into 1
6.689 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.690 * [backup-simplify]: Simplify (+ 1 0) into 1
6.690 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
6.690 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
6.690 * [taylor]: Taking taylor expansion of 1/2 in z
6.690 * [backup-simplify]: Simplify 1/2 into 1/2
6.690 * [taylor]: Taking taylor expansion of z in z
6.690 * [backup-simplify]: Simplify 0 into 0
6.690 * [backup-simplify]: Simplify 1 into 1
6.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
6.692 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
6.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
6.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
6.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
6.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
6.692 * [taylor]: Taking taylor expansion of (pow y 2) in z
6.692 * [taylor]: Taking taylor expansion of y in z
6.692 * [backup-simplify]: Simplify y into y
6.693 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
6.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
6.693 * [taylor]: Taking taylor expansion of (pow x 2) in z
6.693 * [taylor]: Taking taylor expansion of x in z
6.693 * [backup-simplify]: Simplify x into x
6.693 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.693 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.693 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.693 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.693 * [taylor]: Taking taylor expansion of z in z
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify 1 into 1
6.694 * [backup-simplify]: Simplify (* 1 1) into 1
6.694 * [backup-simplify]: Simplify (/ 1 1) into 1
6.694 * [backup-simplify]: Simplify (+ 0 1) into 1
6.694 * [backup-simplify]: Simplify (+ 0 1) into 1
6.695 * [backup-simplify]: Simplify (sqrt 1) into 1
6.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.696 * [backup-simplify]: Simplify (+ 0 0) into 0
6.696 * [backup-simplify]: Simplify (+ 0 0) into 0
6.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
6.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
6.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.697 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.697 * [taylor]: Taking taylor expansion of y in y
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 1 into 1
6.697 * [backup-simplify]: Simplify (* 1 1) into 1
6.697 * [backup-simplify]: Simplify (/ 1 1) into 1
6.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
6.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.697 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.697 * [taylor]: Taking taylor expansion of x in y
6.697 * [backup-simplify]: Simplify x into x
6.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.698 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.698 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.698 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.698 * [taylor]: Taking taylor expansion of z in y
6.698 * [backup-simplify]: Simplify z into z
6.698 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.698 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.698 * [backup-simplify]: Simplify (+ 1 0) into 1
6.699 * [backup-simplify]: Simplify (sqrt 1) into 1
6.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.700 * [backup-simplify]: Simplify (+ 0 0) into 0
6.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.700 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.700 * [taylor]: Taking taylor expansion of y in x
6.700 * [backup-simplify]: Simplify y into y
6.701 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.701 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.701 * [taylor]: Taking taylor expansion of x in x
6.701 * [backup-simplify]: Simplify 0 into 0
6.701 * [backup-simplify]: Simplify 1 into 1
6.701 * [backup-simplify]: Simplify (* 1 1) into 1
6.701 * [backup-simplify]: Simplify (/ 1 1) into 1
6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.701 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.701 * [taylor]: Taking taylor expansion of z in x
6.701 * [backup-simplify]: Simplify z into z
6.702 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.702 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.702 * [backup-simplify]: Simplify (+ 1 0) into 1
6.702 * [backup-simplify]: Simplify (+ 0 1) into 1
6.703 * [backup-simplify]: Simplify (sqrt 1) into 1
6.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.704 * [backup-simplify]: Simplify (+ 0 0) into 0
6.704 * [backup-simplify]: Simplify (+ 0 0) into 0
6.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.705 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.705 * [taylor]: Taking taylor expansion of y in x
6.705 * [backup-simplify]: Simplify y into y
6.705 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.705 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.705 * [taylor]: Taking taylor expansion of x in x
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 1 into 1
6.706 * [backup-simplify]: Simplify (* 1 1) into 1
6.706 * [backup-simplify]: Simplify (/ 1 1) into 1
6.706 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.706 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.706 * [taylor]: Taking taylor expansion of z in x
6.706 * [backup-simplify]: Simplify z into z
6.706 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.706 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.707 * [backup-simplify]: Simplify (+ 1 0) into 1
6.707 * [backup-simplify]: Simplify (+ 0 1) into 1
6.707 * [backup-simplify]: Simplify (sqrt 1) into 1
6.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.709 * [backup-simplify]: Simplify (+ 0 0) into 0
6.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.709 * [taylor]: Taking taylor expansion of 1 in y
6.709 * [backup-simplify]: Simplify 1 into 1
6.709 * [taylor]: Taking taylor expansion of 0 in y
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [taylor]: Taking taylor expansion of 1 in z
6.709 * [backup-simplify]: Simplify 1 into 1
6.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.711 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
6.711 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
6.712 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
6.713 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
6.713 * [taylor]: Taking taylor expansion of 1/2 in y
6.713 * [backup-simplify]: Simplify 1/2 into 1/2
6.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
6.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.713 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.713 * [taylor]: Taking taylor expansion of y in y
6.713 * [backup-simplify]: Simplify 0 into 0
6.713 * [backup-simplify]: Simplify 1 into 1
6.713 * [backup-simplify]: Simplify (* 1 1) into 1
6.713 * [backup-simplify]: Simplify (/ 1 1) into 1
6.713 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.713 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.713 * [taylor]: Taking taylor expansion of z in y
6.713 * [backup-simplify]: Simplify z into z
6.713 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.714 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.715 * [backup-simplify]: Simplify (+ 0 0) into 0
6.715 * [backup-simplify]: Simplify (+ 1 0) into 1
6.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.715 * [taylor]: Taking taylor expansion of 0 in z
6.715 * [backup-simplify]: Simplify 0 into 0
6.716 * [taylor]: Taking taylor expansion of 0 in z
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [taylor]: Taking taylor expansion of 0 in z
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.718 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
6.720 * [taylor]: Taking taylor expansion of 0 in y
6.720 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
6.722 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
6.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
6.722 * [taylor]: Taking taylor expansion of 1/2 in z
6.722 * [backup-simplify]: Simplify 1/2 into 1/2
6.722 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.722 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.722 * [taylor]: Taking taylor expansion of z in z
6.722 * [backup-simplify]: Simplify 0 into 0
6.722 * [backup-simplify]: Simplify 1 into 1
6.723 * [backup-simplify]: Simplify (* 1 1) into 1
6.723 * [backup-simplify]: Simplify (/ 1 1) into 1
6.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [taylor]: Taking taylor expansion of 0 in z
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [taylor]: Taking taylor expansion of 0 in z
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.730 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
6.732 * [backup-simplify]: Simplify (+ 0 0) into 0
6.733 * [backup-simplify]: Simplify (+ 0 0) into 0
6.736 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
6.736 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
6.736 * [taylor]: Taking taylor expansion of -1/2 in y
6.736 * [backup-simplify]: Simplify -1/2 into -1/2
6.736 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
6.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
6.736 * [taylor]: Taking taylor expansion of 1/2 in y
6.736 * [backup-simplify]: Simplify 1/2 into 1/2
6.736 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
6.737 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
6.737 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.737 * [taylor]: Taking taylor expansion of z in y
6.737 * [backup-simplify]: Simplify z into z
6.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.737 * [taylor]: Taking taylor expansion of y in y
6.737 * [backup-simplify]: Simplify 0 into 0
6.737 * [backup-simplify]: Simplify 1 into 1
6.737 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.737 * [backup-simplify]: Simplify (* 1 1) into 1
6.738 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
6.739 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.739 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
6.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
6.739 * [taylor]: Taking taylor expansion of 1/4 in y
6.739 * [backup-simplify]: Simplify 1/4 into 1/4
6.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.739 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.739 * [taylor]: Taking taylor expansion of y in y
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (* 1 1) into 1
6.740 * [backup-simplify]: Simplify (* 1 1) into 1
6.740 * [backup-simplify]: Simplify (/ 1 1) into 1
6.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
6.740 * [taylor]: Taking taylor expansion of 1/4 in y
6.740 * [backup-simplify]: Simplify 1/4 into 1/4
6.740 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
6.740 * [taylor]: Taking taylor expansion of (pow z 4) in y
6.740 * [taylor]: Taking taylor expansion of z in y
6.740 * [backup-simplify]: Simplify z into z
6.740 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.741 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
6.742 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
6.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.743 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.743 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
6.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
6.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.756 * [backup-simplify]: Simplify (+ 0 0) into 0
6.757 * [backup-simplify]: Simplify (+ 0 0) into 0
6.757 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
6.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
6.759 * [backup-simplify]: Simplify (+ 0 0) into 0
6.759 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
6.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
6.760 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
6.762 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
6.762 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
6.764 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
6.764 * [taylor]: Taking taylor expansion of 0 in z
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [taylor]: Taking taylor expansion of 0 in z
6.764 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
6.769 * [taylor]: Taking taylor expansion of 0 in z
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [taylor]: Taking taylor expansion of 0 in z
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [taylor]: Taking taylor expansion of 0 in z
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.771 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
6.772 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
6.772 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
6.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
6.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
6.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
6.772 * [taylor]: Taking taylor expansion of (pow y 2) in z
6.772 * [taylor]: Taking taylor expansion of y in z
6.772 * [backup-simplify]: Simplify y into y
6.772 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
6.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
6.772 * [taylor]: Taking taylor expansion of (pow x 2) in z
6.772 * [taylor]: Taking taylor expansion of x in z
6.772 * [backup-simplify]: Simplify x into x
6.772 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.773 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.773 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.773 * [taylor]: Taking taylor expansion of z in z
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 1 into 1
6.773 * [backup-simplify]: Simplify (* 1 1) into 1
6.773 * [backup-simplify]: Simplify (/ 1 1) into 1
6.773 * [backup-simplify]: Simplify (+ 0 1) into 1
6.774 * [backup-simplify]: Simplify (+ 0 1) into 1
6.774 * [backup-simplify]: Simplify (sqrt 1) into 1
6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
6.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.776 * [taylor]: Taking taylor expansion of y in y
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify (* 1 1) into 1
6.776 * [backup-simplify]: Simplify (/ 1 1) into 1
6.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.777 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.777 * [taylor]: Taking taylor expansion of x in y
6.777 * [backup-simplify]: Simplify x into x
6.777 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.777 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.777 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.777 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.777 * [taylor]: Taking taylor expansion of z in y
6.777 * [backup-simplify]: Simplify z into z
6.777 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.777 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.778 * [backup-simplify]: Simplify (+ 1 0) into 1
6.778 * [backup-simplify]: Simplify (sqrt 1) into 1
6.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.779 * [backup-simplify]: Simplify (+ 0 0) into 0
6.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.780 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.780 * [taylor]: Taking taylor expansion of y in x
6.780 * [backup-simplify]: Simplify y into y
6.780 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.780 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.780 * [taylor]: Taking taylor expansion of x in x
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify 1 into 1
6.782 * [backup-simplify]: Simplify (* 1 1) into 1
6.782 * [backup-simplify]: Simplify (/ 1 1) into 1
6.782 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.782 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.782 * [taylor]: Taking taylor expansion of z in x
6.782 * [backup-simplify]: Simplify z into z
6.782 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.783 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.783 * [backup-simplify]: Simplify (+ 1 0) into 1
6.783 * [backup-simplify]: Simplify (+ 0 1) into 1
6.783 * [backup-simplify]: Simplify (sqrt 1) into 1
6.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.785 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.785 * [taylor]: Taking taylor expansion of y in x
6.785 * [backup-simplify]: Simplify y into y
6.786 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.786 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.786 * [taylor]: Taking taylor expansion of x in x
6.786 * [backup-simplify]: Simplify 0 into 0
6.786 * [backup-simplify]: Simplify 1 into 1
6.786 * [backup-simplify]: Simplify (* 1 1) into 1
6.786 * [backup-simplify]: Simplify (/ 1 1) into 1
6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.786 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.786 * [taylor]: Taking taylor expansion of z in x
6.786 * [backup-simplify]: Simplify z into z
6.787 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.787 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.787 * [backup-simplify]: Simplify (+ 1 0) into 1
6.787 * [backup-simplify]: Simplify (+ 0 1) into 1
6.788 * [backup-simplify]: Simplify (sqrt 1) into 1
6.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.789 * [taylor]: Taking taylor expansion of 1 in y
6.790 * [backup-simplify]: Simplify 1 into 1
6.790 * [taylor]: Taking taylor expansion of 0 in y
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [taylor]: Taking taylor expansion of 1 in z
6.790 * [backup-simplify]: Simplify 1 into 1
6.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
6.792 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
6.793 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
6.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
6.793 * [taylor]: Taking taylor expansion of 1/2 in y
6.793 * [backup-simplify]: Simplify 1/2 into 1/2
6.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
6.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.793 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.793 * [taylor]: Taking taylor expansion of y in y
6.793 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify 1 into 1
6.793 * [backup-simplify]: Simplify (* 1 1) into 1
6.794 * [backup-simplify]: Simplify (/ 1 1) into 1
6.794 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.794 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.794 * [taylor]: Taking taylor expansion of z in y
6.794 * [backup-simplify]: Simplify z into z
6.794 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.794 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.795 * [backup-simplify]: Simplify (+ 0 0) into 0
6.796 * [backup-simplify]: Simplify (+ 1 0) into 1
6.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.796 * [taylor]: Taking taylor expansion of 0 in z
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [taylor]: Taking taylor expansion of 0 in z
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [taylor]: Taking taylor expansion of 0 in z
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.796 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.798 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.800 * [backup-simplify]: Simplify (+ 0 0) into 0
6.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
6.801 * [taylor]: Taking taylor expansion of 0 in y
6.801 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
6.803 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
6.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
6.803 * [taylor]: Taking taylor expansion of 1/2 in z
6.803 * [backup-simplify]: Simplify 1/2 into 1/2
6.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.803 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.803 * [taylor]: Taking taylor expansion of z in z
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 1 into 1
6.804 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [taylor]: Taking taylor expansion of 0 in z
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [taylor]: Taking taylor expansion of 0 in z
6.805 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.809 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
6.810 * [backup-simplify]: Simplify (+ 0 0) into 0
6.810 * [backup-simplify]: Simplify (+ 0 0) into 0
6.812 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
6.812 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
6.812 * [taylor]: Taking taylor expansion of -1/2 in y
6.812 * [backup-simplify]: Simplify -1/2 into -1/2
6.812 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
6.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
6.812 * [taylor]: Taking taylor expansion of 1/2 in y
6.812 * [backup-simplify]: Simplify 1/2 into 1/2
6.812 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
6.812 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
6.812 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.812 * [taylor]: Taking taylor expansion of z in y
6.812 * [backup-simplify]: Simplify z into z
6.812 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.812 * [taylor]: Taking taylor expansion of y in y
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 1 into 1
6.813 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.813 * [backup-simplify]: Simplify (* 1 1) into 1
6.813 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
6.813 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
6.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
6.813 * [taylor]: Taking taylor expansion of 1/4 in y
6.813 * [backup-simplify]: Simplify 1/4 into 1/4
6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.813 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.813 * [taylor]: Taking taylor expansion of y in y
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify 1 into 1
6.814 * [backup-simplify]: Simplify (* 1 1) into 1
6.814 * [backup-simplify]: Simplify (* 1 1) into 1
6.814 * [backup-simplify]: Simplify (/ 1 1) into 1
6.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
6.814 * [taylor]: Taking taylor expansion of 1/4 in y
6.814 * [backup-simplify]: Simplify 1/4 into 1/4
6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
6.814 * [taylor]: Taking taylor expansion of (pow z 4) in y
6.814 * [taylor]: Taking taylor expansion of z in y
6.814 * [backup-simplify]: Simplify z into z
6.814 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.815 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
6.815 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
6.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.816 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.816 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
6.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
6.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
6.829 * [backup-simplify]: Simplify (+ 0 0) into 0
6.829 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
6.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.831 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
6.832 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
6.832 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
6.834 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
6.834 * [taylor]: Taking taylor expansion of 0 in z
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [taylor]: Taking taylor expansion of 0 in z
6.834 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.837 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.838 * [backup-simplify]: Simplify (+ 0 0) into 0
6.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
6.840 * [taylor]: Taking taylor expansion of 0 in z
6.840 * [backup-simplify]: Simplify 0 into 0
6.840 * [taylor]: Taking taylor expansion of 0 in z
6.840 * [backup-simplify]: Simplify 0 into 0
6.841 * [taylor]: Taking taylor expansion of 0 in z
6.841 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
6.844 * * * * [progress]: [ 2 / 2 ] generating series at (2)
6.846 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0)))
6.846 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (x y z) around 0
6.846 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z
6.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
6.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
6.846 * [taylor]: Taking taylor expansion of (pow y 2) in z
6.846 * [taylor]: Taking taylor expansion of y in z
6.846 * [backup-simplify]: Simplify y into y
6.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
6.846 * [taylor]: Taking taylor expansion of (pow x 2) in z
6.846 * [taylor]: Taking taylor expansion of x in z
6.846 * [backup-simplify]: Simplify x into x
6.846 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.846 * [taylor]: Taking taylor expansion of z in z
6.846 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify 1 into 1
6.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.847 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.847 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.848 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
6.849 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
6.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.849 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.850 * [backup-simplify]: Simplify (+ 0 0) into 0
6.850 * [backup-simplify]: Simplify (+ 0 0) into 0
6.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
6.851 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
6.851 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.851 * [taylor]: Taking taylor expansion of 3.0 in z
6.851 * [backup-simplify]: Simplify 3.0 into 3.0
6.852 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.854 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.854 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
6.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
6.854 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
6.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.854 * [taylor]: Taking taylor expansion of y in y
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.854 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
6.854 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.854 * [taylor]: Taking taylor expansion of x in y
6.854 * [backup-simplify]: Simplify x into x
6.854 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.854 * [taylor]: Taking taylor expansion of z in y
6.854 * [backup-simplify]: Simplify z into z
6.854 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.854 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.855 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
6.856 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
6.857 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
6.857 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.858 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.858 * [backup-simplify]: Simplify (+ 0 0) into 0
6.858 * [backup-simplify]: Simplify (+ 0 0) into 0
6.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
6.860 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
6.860 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.860 * [taylor]: Taking taylor expansion of 3.0 in y
6.860 * [backup-simplify]: Simplify 3.0 into 3.0
6.860 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.862 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.862 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
6.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
6.862 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
6.862 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.862 * [taylor]: Taking taylor expansion of y in x
6.862 * [backup-simplify]: Simplify y into y
6.862 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
6.862 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.862 * [taylor]: Taking taylor expansion of x in x
6.862 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 1 into 1
6.863 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.863 * [taylor]: Taking taylor expansion of z in x
6.863 * [backup-simplify]: Simplify z into z
6.863 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.863 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.863 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.864 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
6.865 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
6.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.866 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.866 * [backup-simplify]: Simplify (+ 0 0) into 0
6.866 * [backup-simplify]: Simplify (+ 0 0) into 0
6.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
6.867 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
6.868 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
6.868 * [taylor]: Taking taylor expansion of 3.0 in x
6.868 * [backup-simplify]: Simplify 3.0 into 3.0
6.868 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.870 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.870 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x
6.870 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
6.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
6.870 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.870 * [taylor]: Taking taylor expansion of y in x
6.870 * [backup-simplify]: Simplify y into y
6.870 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
6.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.870 * [taylor]: Taking taylor expansion of x in x
6.870 * [backup-simplify]: Simplify 0 into 0
6.870 * [backup-simplify]: Simplify 1 into 1
6.870 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.870 * [taylor]: Taking taylor expansion of z in x
6.870 * [backup-simplify]: Simplify z into z
6.870 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.871 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.871 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.872 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
6.873 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
6.873 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.873 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.874 * [backup-simplify]: Simplify (+ 0 0) into 0
6.874 * [backup-simplify]: Simplify (+ 0 0) into 0
6.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
6.875 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
6.875 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
6.875 * [taylor]: Taking taylor expansion of 3.0 in x
6.875 * [backup-simplify]: Simplify 3.0 into 3.0
6.876 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.878 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.880 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) into (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0)))
6.880 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) in y
6.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
6.880 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
6.880 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.880 * [taylor]: Taking taylor expansion of y in y
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.880 * [taylor]: Taking taylor expansion of z in y
6.880 * [backup-simplify]: Simplify z into z
6.880 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.881 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.881 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
6.882 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.882 * [backup-simplify]: Simplify (+ 0 0) into 0
6.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
6.883 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
6.883 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.883 * [taylor]: Taking taylor expansion of 3.0 in y
6.883 * [backup-simplify]: Simplify 3.0 into 3.0
6.883 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.885 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.886 * [backup-simplify]: Simplify (* z (/ 1 (sqrt 3.0))) into (/ z (sqrt 3.0))
6.886 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z
6.886 * [taylor]: Taking taylor expansion of z in z
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 1 into 1
6.886 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.886 * [taylor]: Taking taylor expansion of 3.0 in z
6.886 * [backup-simplify]: Simplify 3.0 into 3.0
6.887 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.889 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.892 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
6.892 * [taylor]: Taking taylor expansion of 0 in y
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in z
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.894 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
6.894 * [taylor]: Taking taylor expansion of 0 in z
6.895 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
6.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
6.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.898 * [backup-simplify]: Simplify (* 1 1) into 1
6.898 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.899 * [backup-simplify]: Simplify (+ 1 0) into 1
6.899 * [backup-simplify]: Simplify (+ 0 1) into 1
6.900 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
6.902 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (/ 1 (sqrt 3.0))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))))
6.902 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in y
6.902 * [taylor]: Taking taylor expansion of 1/2 in y
6.902 * [backup-simplify]: Simplify 1/2 into 1/2
6.902 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y
6.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
6.902 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
6.902 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
6.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.902 * [taylor]: Taking taylor expansion of y in y
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.902 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.902 * [taylor]: Taking taylor expansion of z in y
6.903 * [backup-simplify]: Simplify z into z
6.903 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.903 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.903 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.903 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
6.903 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.904 * [backup-simplify]: Simplify (+ 0 0) into 0
6.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
6.905 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
6.905 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.905 * [taylor]: Taking taylor expansion of 3.0 in y
6.905 * [backup-simplify]: Simplify 3.0 into 3.0
6.905 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.906 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.907 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 (sqrt 3.0))) into (/ 1 (* z (sqrt 3.0)))
6.907 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* z (sqrt 3.0)))) into (/ 1/2 (* z (sqrt 3.0)))
6.907 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z
6.907 * [taylor]: Taking taylor expansion of 1/2 in z
6.907 * [backup-simplify]: Simplify 1/2 into 1/2
6.907 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
6.907 * [taylor]: Taking taylor expansion of z in z
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.908 * [taylor]: Taking taylor expansion of 3.0 in z
6.908 * [backup-simplify]: Simplify 3.0 into 3.0
6.908 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.910 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
6.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
6.913 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3.0)) into (/ 1/2 (sqrt 3.0))
6.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
6.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
6.920 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1/2 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [taylor]: Taking taylor expansion of 0 in z
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
6.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
6.924 * [backup-simplify]: Simplify (* 1 1) into 1
6.924 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.925 * [backup-simplify]: Simplify (+ 1 0) into 1
6.926 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
6.928 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (/ 1 (sqrt 3.0))))) into (* 1/2 (/ 1 (* z (sqrt 3.0))))
6.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z
6.928 * [taylor]: Taking taylor expansion of 1/2 in z
6.928 * [backup-simplify]: Simplify 1/2 into 1/2
6.928 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z
6.928 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z
6.928 * [taylor]: Taking taylor expansion of z in z
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 1 into 1
6.928 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.928 * [taylor]: Taking taylor expansion of 3.0 in z
6.928 * [backup-simplify]: Simplify 3.0 into 3.0
6.928 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.930 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0
6.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0)
6.933 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
6.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0
6.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.940 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* z (* 1 1))) into (/ z (sqrt 3.0))
6.943 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt 3.0)) into (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))
6.943 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (x y z) around 0
6.943 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
6.943 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
6.943 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.943 * [taylor]: Taking taylor expansion of 3.0 in z
6.943 * [backup-simplify]: Simplify 3.0 into 3.0
6.944 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.946 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
6.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
6.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
6.946 * [taylor]: Taking taylor expansion of (pow y 2) in z
6.946 * [taylor]: Taking taylor expansion of y in z
6.946 * [backup-simplify]: Simplify y into y
6.946 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.946 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
6.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
6.947 * [taylor]: Taking taylor expansion of (pow x 2) in z
6.947 * [taylor]: Taking taylor expansion of x in z
6.947 * [backup-simplify]: Simplify x into x
6.947 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.947 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.947 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.947 * [taylor]: Taking taylor expansion of z in z
6.947 * [backup-simplify]: Simplify 0 into 0
6.947 * [backup-simplify]: Simplify 1 into 1
6.948 * [backup-simplify]: Simplify (* 1 1) into 1
6.948 * [backup-simplify]: Simplify (/ 1 1) into 1
6.949 * [backup-simplify]: Simplify (+ 0 1) into 1
6.949 * [backup-simplify]: Simplify (+ 0 1) into 1
6.950 * [backup-simplify]: Simplify (sqrt 1) into 1
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.951 * [backup-simplify]: Simplify (+ 0 0) into 0
6.952 * [backup-simplify]: Simplify (+ 0 0) into 0
6.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.953 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
6.953 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
6.953 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.953 * [taylor]: Taking taylor expansion of 3.0 in y
6.953 * [backup-simplify]: Simplify 3.0 into 3.0
6.953 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.955 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
6.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
6.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.955 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.955 * [taylor]: Taking taylor expansion of y in y
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* 1 1) into 1
6.956 * [backup-simplify]: Simplify (/ 1 1) into 1
6.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.956 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.956 * [taylor]: Taking taylor expansion of x in y
6.956 * [backup-simplify]: Simplify x into x
6.956 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.957 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.957 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.957 * [taylor]: Taking taylor expansion of z in y
6.957 * [backup-simplify]: Simplify z into z
6.957 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.958 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.958 * [backup-simplify]: Simplify (+ 1 0) into 1
6.959 * [backup-simplify]: Simplify (sqrt 1) into 1
6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.960 * [backup-simplify]: Simplify (+ 0 0) into 0
6.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.960 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
6.960 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
6.960 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
6.960 * [taylor]: Taking taylor expansion of 3.0 in x
6.960 * [backup-simplify]: Simplify 3.0 into 3.0
6.961 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.962 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.962 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.962 * [taylor]: Taking taylor expansion of y in x
6.962 * [backup-simplify]: Simplify y into y
6.962 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.962 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.962 * [taylor]: Taking taylor expansion of x in x
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [backup-simplify]: Simplify (* 1 1) into 1
6.963 * [backup-simplify]: Simplify (/ 1 1) into 1
6.963 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.963 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.963 * [taylor]: Taking taylor expansion of z in x
6.963 * [backup-simplify]: Simplify z into z
6.963 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.963 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.963 * [backup-simplify]: Simplify (+ 1 0) into 1
6.964 * [backup-simplify]: Simplify (+ 0 1) into 1
6.964 * [backup-simplify]: Simplify (sqrt 1) into 1
6.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.966 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
6.966 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
6.966 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
6.966 * [taylor]: Taking taylor expansion of 3.0 in x
6.966 * [backup-simplify]: Simplify 3.0 into 3.0
6.966 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.967 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
6.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
6.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.967 * [taylor]: Taking taylor expansion of y in x
6.967 * [backup-simplify]: Simplify y into y
6.967 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.968 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
6.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.968 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.968 * [taylor]: Taking taylor expansion of x in x
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 1 into 1
6.968 * [backup-simplify]: Simplify (* 1 1) into 1
6.968 * [backup-simplify]: Simplify (/ 1 1) into 1
6.968 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
6.968 * [taylor]: Taking taylor expansion of (pow z 2) in x
6.968 * [taylor]: Taking taylor expansion of z in x
6.968 * [backup-simplify]: Simplify z into z
6.968 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.969 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.969 * [backup-simplify]: Simplify (+ 1 0) into 1
6.969 * [backup-simplify]: Simplify (+ 0 1) into 1
6.970 * [backup-simplify]: Simplify (sqrt 1) into 1
6.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.972 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
6.973 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
6.973 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.973 * [taylor]: Taking taylor expansion of 3.0 in y
6.973 * [backup-simplify]: Simplify 3.0 into 3.0
6.973 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.974 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.975 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
6.975 * [taylor]: Taking taylor expansion of 0 in y
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
6.975 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
6.975 * [taylor]: Taking taylor expansion of 3.0 in z
6.975 * [backup-simplify]: Simplify 3.0 into 3.0
6.976 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.977 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
6.979 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
6.980 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
6.981 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
6.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
6.983 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
6.983 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in y
6.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y
6.983 * [taylor]: Taking taylor expansion of 1/2 in y
6.983 * [backup-simplify]: Simplify 1/2 into 1/2
6.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y
6.983 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
6.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.984 * [taylor]: Taking taylor expansion of y in y
6.984 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify 1 into 1
6.984 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.984 * [taylor]: Taking taylor expansion of 3.0 in y
6.984 * [backup-simplify]: Simplify 3.0 into 3.0
6.984 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.985 * [backup-simplify]: Simplify (* 1 1) into 1
6.985 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
6.986 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y
6.986 * [taylor]: Taking taylor expansion of 1/2 in y
6.986 * [backup-simplify]: Simplify 1/2 into 1/2
6.986 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y
6.986 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y
6.986 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.986 * [taylor]: Taking taylor expansion of z in y
6.986 * [backup-simplify]: Simplify z into z
6.986 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
6.986 * [taylor]: Taking taylor expansion of 3.0 in y
6.986 * [backup-simplify]: Simplify 3.0 into 3.0
6.986 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
6.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
6.987 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.988 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
6.988 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
6.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.993 * [taylor]: Taking taylor expansion of 0 in z
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [taylor]: Taking taylor expansion of 0 in z
6.993 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
6.995 * [taylor]: Taking taylor expansion of 0 in z
6.995 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
6.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.000 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.009 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
7.009 * [taylor]: Taking taylor expansion of 0 in y
7.010 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
7.017 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
7.018 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
7.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
7.018 * [taylor]: Taking taylor expansion of 1/2 in z
7.018 * [backup-simplify]: Simplify 1/2 into 1/2
7.018 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
7.018 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
7.018 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.018 * [taylor]: Taking taylor expansion of z in z
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
7.019 * [taylor]: Taking taylor expansion of 3.0 in z
7.019 * [backup-simplify]: Simplify 3.0 into 3.0
7.019 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.021 * [backup-simplify]: Simplify (* 1 1) into 1
7.022 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.023 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [taylor]: Taking taylor expansion of 0 in z
7.027 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.030 * [taylor]: Taking taylor expansion of 0 in z
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.031 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.043 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
7.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.046 * [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
7.053 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
7.054 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in y
7.054 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in y
7.054 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y
7.054 * [taylor]: Taking taylor expansion of 1/8 in y
7.054 * [backup-simplify]: Simplify 1/8 into 1/8
7.054 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y
7.054 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y
7.054 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.054 * [taylor]: Taking taylor expansion of y in y
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 1 into 1
7.054 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.054 * [taylor]: Taking taylor expansion of 3.0 in y
7.054 * [backup-simplify]: Simplify 3.0 into 3.0
7.055 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.056 * [backup-simplify]: Simplify (* 1 1) into 1
7.056 * [backup-simplify]: Simplify (* 1 1) into 1
7.057 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.058 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.058 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in y
7.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y
7.058 * [taylor]: Taking taylor expansion of 1/4 in y
7.058 * [backup-simplify]: Simplify 1/4 into 1/4
7.058 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y
7.059 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y
7.059 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.059 * [taylor]: Taking taylor expansion of z in y
7.059 * [backup-simplify]: Simplify z into z
7.059 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
7.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.059 * [taylor]: Taking taylor expansion of y in y
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 1 into 1
7.059 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.059 * [taylor]: Taking taylor expansion of 3.0 in y
7.059 * [backup-simplify]: Simplify 3.0 into 3.0
7.059 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.062 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.063 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.065 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
7.066 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
7.066 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y
7.066 * [taylor]: Taking taylor expansion of 1/8 in y
7.066 * [backup-simplify]: Simplify 1/8 into 1/8
7.066 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y
7.066 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y
7.066 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.066 * [taylor]: Taking taylor expansion of z in y
7.066 * [backup-simplify]: Simplify z into z
7.066 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.066 * [taylor]: Taking taylor expansion of 3.0 in y
7.066 * [backup-simplify]: Simplify 3.0 into 3.0
7.067 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.067 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.068 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.068 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
7.069 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
7.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.080 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.081 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
7.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
7.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
7.083 * [backup-simplify]: Simplify (+ 0 0) into 0
7.083 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (- 0) into 0
7.084 * [taylor]: Taking taylor expansion of 0 in z
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [taylor]: Taking taylor expansion of 0 in z
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
7.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
7.088 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.089 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
7.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
7.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [taylor]: Taking taylor expansion of 0 in z
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [taylor]: Taking taylor expansion of 0 in z
7.091 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.093 * [taylor]: Taking taylor expansion of 0 in z
7.093 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 x))))) into (/ x (sqrt 3.0))
7.099 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt 3.0)) into (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))
7.099 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in (x y z) around 0
7.099 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
7.099 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
7.099 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
7.099 * [taylor]: Taking taylor expansion of 3.0 in z
7.099 * [backup-simplify]: Simplify 3.0 into 3.0
7.099 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.101 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
7.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.101 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.101 * [taylor]: Taking taylor expansion of y in z
7.101 * [backup-simplify]: Simplify y into y
7.101 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.102 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.102 * [taylor]: Taking taylor expansion of x in z
7.102 * [backup-simplify]: Simplify x into x
7.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.102 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.102 * [taylor]: Taking taylor expansion of z in z
7.102 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify 1 into 1
7.103 * [backup-simplify]: Simplify (* 1 1) into 1
7.103 * [backup-simplify]: Simplify (/ 1 1) into 1
7.104 * [backup-simplify]: Simplify (+ 0 1) into 1
7.104 * [backup-simplify]: Simplify (+ 0 1) into 1
7.105 * [backup-simplify]: Simplify (sqrt 1) into 1
7.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.108 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
7.108 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
7.108 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.108 * [taylor]: Taking taylor expansion of 3.0 in y
7.108 * [backup-simplify]: Simplify 3.0 into 3.0
7.108 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.110 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
7.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
7.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.110 * [taylor]: Taking taylor expansion of y in y
7.110 * [backup-simplify]: Simplify 0 into 0
7.110 * [backup-simplify]: Simplify 1 into 1
7.110 * [backup-simplify]: Simplify (* 1 1) into 1
7.111 * [backup-simplify]: Simplify (/ 1 1) into 1
7.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
7.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.111 * [taylor]: Taking taylor expansion of x in y
7.111 * [backup-simplify]: Simplify x into x
7.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.112 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.112 * [taylor]: Taking taylor expansion of z in y
7.112 * [backup-simplify]: Simplify z into z
7.112 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.112 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.113 * [backup-simplify]: Simplify (+ 1 0) into 1
7.113 * [backup-simplify]: Simplify (sqrt 1) into 1
7.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.115 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
7.115 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
7.115 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
7.115 * [taylor]: Taking taylor expansion of 3.0 in x
7.116 * [backup-simplify]: Simplify 3.0 into 3.0
7.116 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.118 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.118 * [taylor]: Taking taylor expansion of y in x
7.118 * [backup-simplify]: Simplify y into y
7.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.119 * [taylor]: Taking taylor expansion of x in x
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 1 into 1
7.119 * [backup-simplify]: Simplify (* 1 1) into 1
7.119 * [backup-simplify]: Simplify (/ 1 1) into 1
7.119 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.120 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.120 * [taylor]: Taking taylor expansion of z in x
7.120 * [backup-simplify]: Simplify z into z
7.120 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.120 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.121 * [backup-simplify]: Simplify (+ 1 0) into 1
7.121 * [backup-simplify]: Simplify (+ 0 1) into 1
7.122 * [backup-simplify]: Simplify (sqrt 1) into 1
7.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.125 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 3.0)) (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
7.125 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x
7.125 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x
7.125 * [taylor]: Taking taylor expansion of 3.0 in x
7.125 * [backup-simplify]: Simplify 3.0 into 3.0
7.125 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.127 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.127 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.127 * [taylor]: Taking taylor expansion of y in x
7.127 * [backup-simplify]: Simplify y into y
7.128 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
7.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.128 * [taylor]: Taking taylor expansion of x in x
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 1 into 1
7.129 * [backup-simplify]: Simplify (* 1 1) into 1
7.129 * [backup-simplify]: Simplify (/ 1 1) into 1
7.129 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.129 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.129 * [taylor]: Taking taylor expansion of z in x
7.129 * [backup-simplify]: Simplify z into z
7.129 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.130 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.130 * [backup-simplify]: Simplify (+ 1 0) into 1
7.131 * [backup-simplify]: Simplify (+ 0 1) into 1
7.131 * [backup-simplify]: Simplify (sqrt 1) into 1
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.133 * [backup-simplify]: Simplify (+ 0 0) into 0
7.133 * [backup-simplify]: Simplify (+ 0 0) into 0
7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.136 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) 1) into (/ 1 (sqrt 3.0))
7.136 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y
7.136 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.136 * [taylor]: Taking taylor expansion of 3.0 in y
7.136 * [backup-simplify]: Simplify 3.0 into 3.0
7.136 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.138 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.140 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (* 0 1)) into 0
7.141 * [taylor]: Taking taylor expansion of 0 in y
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z
7.141 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
7.141 * [taylor]: Taking taylor expansion of 3.0 in z
7.141 * [backup-simplify]: Simplify 3.0 into 3.0
7.141 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.143 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
7.147 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
7.149 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
7.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.155 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))) into (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))))
7.155 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))) in y
7.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y
7.155 * [taylor]: Taking taylor expansion of 1/2 in y
7.155 * [backup-simplify]: Simplify 1/2 into 1/2
7.155 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y
7.155 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
7.155 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.155 * [taylor]: Taking taylor expansion of y in y
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.155 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.155 * [taylor]: Taking taylor expansion of 3.0 in y
7.155 * [backup-simplify]: Simplify 3.0 into 3.0
7.156 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.157 * [backup-simplify]: Simplify (* 1 1) into 1
7.158 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.159 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y
7.159 * [taylor]: Taking taylor expansion of 1/2 in y
7.159 * [backup-simplify]: Simplify 1/2 into 1/2
7.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y
7.159 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y
7.159 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.159 * [taylor]: Taking taylor expansion of z in y
7.159 * [backup-simplify]: Simplify z into z
7.159 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.159 * [taylor]: Taking taylor expansion of 3.0 in y
7.159 * [backup-simplify]: Simplify 3.0 into 3.0
7.160 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.160 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.161 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
7.162 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
7.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [taylor]: Taking taylor expansion of 0 in z
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [taylor]: Taking taylor expansion of 0 in z
7.167 * [backup-simplify]: Simplify 0 into 0
7.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.168 * [taylor]: Taking taylor expansion of 0 in z
7.168 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.175 * [backup-simplify]: Simplify (+ 0 0) into 0
7.175 * [backup-simplify]: Simplify (+ 0 0) into 0
7.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.183 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1)))) into 0
7.183 * [taylor]: Taking taylor expansion of 0 in y
7.183 * [backup-simplify]: Simplify 0 into 0
7.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
7.191 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0)))
7.192 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* (pow z 2) (sqrt 3.0)))) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0))))
7.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z
7.192 * [taylor]: Taking taylor expansion of 1/2 in z
7.192 * [backup-simplify]: Simplify 1/2 into 1/2
7.192 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z
7.192 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z
7.192 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.192 * [taylor]: Taking taylor expansion of z in z
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z
7.192 * [taylor]: Taking taylor expansion of 3.0 in z
7.192 * [backup-simplify]: Simplify 3.0 into 3.0
7.193 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.194 * [backup-simplify]: Simplify (* 1 1) into 1
7.197 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.198 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [taylor]: Taking taylor expansion of 0 in z
7.202 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.205 * [taylor]: Taking taylor expansion of 0 in z
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.206 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.211 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.213 * [backup-simplify]: Simplify (+ 0 0) into 0
7.214 * [backup-simplify]: Simplify (+ 0 0) into 0
7.217 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
7.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.220 * [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
7.228 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 3.0)) (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))) (+ (* 0 0) (+ (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* 0 1))))) into (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))))
7.228 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))))) in y
7.228 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))))) in y
7.228 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y
7.228 * [taylor]: Taking taylor expansion of 1/8 in y
7.229 * [backup-simplify]: Simplify 1/8 into 1/8
7.229 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y
7.229 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y
7.229 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.229 * [taylor]: Taking taylor expansion of y in y
7.229 * [backup-simplify]: Simplify 0 into 0
7.229 * [backup-simplify]: Simplify 1 into 1
7.229 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.229 * [taylor]: Taking taylor expansion of 3.0 in y
7.229 * [backup-simplify]: Simplify 3.0 into 3.0
7.229 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.231 * [backup-simplify]: Simplify (* 1 1) into 1
7.231 * [backup-simplify]: Simplify (* 1 1) into 1
7.232 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.233 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0))
7.233 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0))))) in y
7.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y
7.233 * [taylor]: Taking taylor expansion of 1/4 in y
7.233 * [backup-simplify]: Simplify 1/4 into 1/4
7.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y
7.233 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y
7.233 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.233 * [taylor]: Taking taylor expansion of z in y
7.234 * [backup-simplify]: Simplify z into z
7.234 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y
7.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.234 * [taylor]: Taking taylor expansion of y in y
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.234 * [taylor]: Taking taylor expansion of 3.0 in y
7.234 * [backup-simplify]: Simplify 3.0 into 3.0
7.234 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.235 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.236 * [backup-simplify]: Simplify (* 1 1) into 1
7.237 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0)
7.238 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0))
7.238 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0)))
7.239 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y
7.239 * [taylor]: Taking taylor expansion of 1/8 in y
7.239 * [backup-simplify]: Simplify 1/8 into 1/8
7.239 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y
7.239 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y
7.239 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.239 * [taylor]: Taking taylor expansion of z in y
7.239 * [backup-simplify]: Simplify z into z
7.239 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y
7.239 * [taylor]: Taking taylor expansion of 3.0 in y
7.239 * [backup-simplify]: Simplify 3.0 into 3.0
7.239 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0)
7.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0
7.241 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.242 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.243 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0))
7.244 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0)))
7.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
7.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0
7.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.261 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
7.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0
7.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.264 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
7.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
7.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
7.268 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (- 0) into 0
7.269 * [taylor]: Taking taylor expansion of 0 in z
7.269 * [backup-simplify]: Simplify 0 into 0
7.269 * [taylor]: Taking taylor expansion of 0 in z
7.269 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0
7.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0
7.277 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.278 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0
7.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0
7.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0
7.282 * [backup-simplify]: Simplify (+ 0 0) into 0
7.282 * [taylor]: Taking taylor expansion of 0 in z
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [taylor]: Taking taylor expansion of 0 in z
7.282 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.285 * [taylor]: Taking taylor expansion of 0 in z
7.285 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0
7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0
7.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0
7.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (/ x (sqrt 3.0)))
7.293 * * * [progress]: simplifying candidates
7.293 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 7 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
7.293 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))>
7.294 * * * * [progress]: [ 16 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))>
7.294 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 18 / 86 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) 1))>
7.294 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (x y z) (exp (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (x y z) (exp (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (x y z) (log (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (x y z) (cbrt (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
7.294 * * * * [progress]: [ 26 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (- (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (- (sqrt 3.0))))>
7.294 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))))>
7.294 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))))>
7.294 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.295 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.295 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))))>
7.295 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.295 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.295 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 41 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))))>
7.295 * * * * [progress]: [ 42 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.295 * * * * [progress]: [ 43 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 44 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 46 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))))>
7.296 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 49 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 52 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 53 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))))>
7.296 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 55 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 56 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 57 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))>
7.296 * * * * [progress]: [ 58 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))))>
7.296 * * * * [progress]: [ 59 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))))>
7.297 * * * * [progress]: [ 60 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))))>
7.297 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
7.297 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))))>
7.297 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
7.297 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (x y z) (* 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
7.297 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 1 (sqrt 3.0))))>
7.297 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ 1 (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
7.297 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))))>
7.297 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (cbrt 3.0))))>
7.297 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (sqrt 3.0))))>
7.297 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (sqrt 3.0)))>
7.297 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (sqrt 3.0))))>
7.297 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt 3.0)))>
7.297 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
7.297 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))>
7.297 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
7.298 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt 1) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
7.298 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
7.298 * * * * [progress]: [ 78 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ 1 (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
7.298 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))))>
7.298 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z))))))>
7.298 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ z (sqrt 3.0)))>
7.298 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ x (sqrt 3.0)))>
7.298 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ (* -1 x) (sqrt 3.0)))>
7.298 * * * * [progress]: [ 84 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ z (sqrt 3.0)))>
7.298 * * * * [progress]: [ 85 / 86 ] simplifiying candidate #<alt (λ (x y z) (/ x (sqrt 3.0)))>
7.298 * * * * [progress]: [ 86 / 86 ] simplifiying candidate #<alt (λ (x y z) (* -1 (/ x (sqrt 3.0))))>
7.300 * [simplify]: Simplifying:
  (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (real->posit16 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0)))
  (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0)))
  (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))
  (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (- (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (- (sqrt 3.0))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1)
  (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1)
  (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt 1) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0)))
  (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ 1 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0))))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z))))
  z
  x
  (* -1 x)
  (/ z (sqrt 3.0))
  (/ x (sqrt 3.0))
  (* -1 (/ x (sqrt 3.0)))
7.305 * * [simplify]: iteration 0: 121 enodes
7.459 * * [simplify]: iteration 1: 219 enodes
7.683 * * [simplify]: iteration 2: 488 enodes
8.311 * * [simplify]: iteration 3: 1354 enodes
10.198 * * [simplify]: iteration 4: 4232 enodes
13.432 * * [simplify]: iteration complete: 5001 enodes
13.433 * * [simplify]: Extracting #0: cost 68 inf + 0
13.433 * * [simplify]: Extracting #1: cost 178 inf + 4
13.434 * * [simplify]: Extracting #2: cost 406 inf + 1737
13.441 * * [simplify]: Extracting #3: cost 808 inf + 22186
13.474 * * [simplify]: Extracting #4: cost 457 inf + 160339
13.574 * * [simplify]: Extracting #5: cost 152 inf + 271913
13.685 * * [simplify]: Extracting #6: cost 142 inf + 281083
13.771 * * [simplify]: Extracting #7: cost 117 inf + 289027
13.891 * * [simplify]: Extracting #8: cost 26 inf + 312411
13.982 * * [simplify]: Extracting #9: cost 0 inf + 320499
14.078 * [simplify]: Simplified to:
  (real->posit16 (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (log (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (exp (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (+ (* z z) (+ (* x x) (* y y))) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  1
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (sqrt (+ (* (* z (* z z)) (* z (* z z))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* x x) (- (* y y) (* z z))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (real->posit16 (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (log (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (log (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (exp (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (* (sqrt (+ (* z z) (+ (* x x) (* y y)))) (/ (+ (* z z) (+ (* x x) (* y y))) (* 3.0 (sqrt 3.0))))
  (* (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))))
  (cbrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (* (sqrt (+ (* z z) (+ (* x x) (* y y)))) (/ (+ (* z z) (+ (* x x) (* y y))) (* 3.0 (sqrt 3.0))))
  (/ (+ (* z z) (+ (* x x) (* y y))) 3.0)
  (sqrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0)))
  (- (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (- (sqrt 3.0))
  (* (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))) (fabs (cbrt 3.0)))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (* (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (* (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (fabs (cbrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt 3.0)))
  (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt 3.0))
  (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (cbrt (sqrt 3.0)))
  (/ 1 (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (cbrt 3.0)))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt (sqrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  1
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (fabs (cbrt 3.0)))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (/ (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (sqrt 3.0)))
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
  (/ (sqrt 3.0) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (/ (sqrt 3.0) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (/ (sqrt 3.0) (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (* z z) (+ (* x x) (* y y)))))))
  (* (sqrt 3.0) (sqrt (+ (* x x) (- (* y y) (* z z)))))
  z
  x
  (- x)
  (/ z (sqrt 3.0))
  (/ x (sqrt 3.0))
  (/ (- x) (sqrt 3.0))
14.092 * * * [progress]: adding candidates to table
14.945 * * [progress]: iteration 3 / 4
14.945 * * * [progress]: picking best candidate
15.025 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
15.025 * * * [progress]: localizing error
15.057 * * * [progress]: generating rewritten candidates
15.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
15.121 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
15.323 * * * [progress]: generating series expansions
15.324 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
15.325 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
15.325 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
15.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
15.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
15.325 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.325 * [taylor]: Taking taylor expansion of y in z
15.325 * [backup-simplify]: Simplify y into y
15.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
15.325 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.325 * [taylor]: Taking taylor expansion of x in z
15.325 * [backup-simplify]: Simplify x into x
15.325 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.325 * [taylor]: Taking taylor expansion of z in z
15.325 * [backup-simplify]: Simplify 0 into 0
15.325 * [backup-simplify]: Simplify 1 into 1
15.325 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.325 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.326 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
15.327 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
15.328 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
15.328 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.328 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.329 * [backup-simplify]: Simplify (+ 0 0) into 0
15.329 * [backup-simplify]: Simplify (+ 0 0) into 0
15.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
15.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
15.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
15.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.331 * [taylor]: Taking taylor expansion of y in y
15.331 * [backup-simplify]: Simplify 0 into 0
15.331 * [backup-simplify]: Simplify 1 into 1
15.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
15.331 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.331 * [taylor]: Taking taylor expansion of x in y
15.331 * [backup-simplify]: Simplify x into x
15.331 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.331 * [taylor]: Taking taylor expansion of z in y
15.331 * [backup-simplify]: Simplify z into z
15.331 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.331 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.331 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
15.332 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
15.333 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
15.333 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.333 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.333 * [backup-simplify]: Simplify (+ 0 0) into 0
15.333 * [backup-simplify]: Simplify (+ 0 0) into 0
15.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
15.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
15.334 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
15.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.334 * [taylor]: Taking taylor expansion of y in x
15.334 * [backup-simplify]: Simplify y into y
15.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
15.334 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.334 * [taylor]: Taking taylor expansion of x in x
15.334 * [backup-simplify]: Simplify 0 into 0
15.334 * [backup-simplify]: Simplify 1 into 1
15.334 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.334 * [taylor]: Taking taylor expansion of z in x
15.334 * [backup-simplify]: Simplify z into z
15.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.334 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.335 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.335 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
15.335 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
15.336 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.336 * [backup-simplify]: Simplify (+ 0 0) into 0
15.336 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
15.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
15.337 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
15.337 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.337 * [taylor]: Taking taylor expansion of y in x
15.337 * [backup-simplify]: Simplify y into y
15.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
15.337 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.337 * [taylor]: Taking taylor expansion of x in x
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [backup-simplify]: Simplify 1 into 1
15.337 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.337 * [taylor]: Taking taylor expansion of z in x
15.337 * [backup-simplify]: Simplify z into z
15.337 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.337 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.338 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.338 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
15.338 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
15.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.339 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
15.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
15.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
15.340 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.340 * [taylor]: Taking taylor expansion of y in y
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify 1 into 1
15.340 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.340 * [taylor]: Taking taylor expansion of z in y
15.340 * [backup-simplify]: Simplify z into z
15.340 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.341 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.342 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
15.342 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
15.342 * [taylor]: Taking taylor expansion of z in z
15.342 * [backup-simplify]: Simplify 0 into 0
15.342 * [backup-simplify]: Simplify 1 into 1
15.342 * [backup-simplify]: Simplify 0 into 0
15.343 * [taylor]: Taking taylor expansion of 0 in y
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [taylor]: Taking taylor expansion of 0 in z
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [taylor]: Taking taylor expansion of 0 in z
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 1 into 1
15.343 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.343 * [backup-simplify]: Simplify (* 1 1) into 1
15.344 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.344 * [backup-simplify]: Simplify (+ 1 0) into 1
15.344 * [backup-simplify]: Simplify (+ 0 1) into 1
15.345 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
15.345 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
15.345 * [taylor]: Taking taylor expansion of 1/2 in y
15.345 * [backup-simplify]: Simplify 1/2 into 1/2
15.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
15.345 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
15.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
15.345 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.346 * [taylor]: Taking taylor expansion of y in y
15.346 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify 1 into 1
15.346 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.346 * [taylor]: Taking taylor expansion of z in y
15.346 * [backup-simplify]: Simplify z into z
15.346 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.346 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.346 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.346 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
15.346 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.347 * [backup-simplify]: Simplify (+ 0 0) into 0
15.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
15.348 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
15.348 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
15.348 * [taylor]: Taking taylor expansion of 1/2 in z
15.348 * [backup-simplify]: Simplify 1/2 into 1/2
15.348 * [taylor]: Taking taylor expansion of z in z
15.348 * [backup-simplify]: Simplify 0 into 0
15.348 * [backup-simplify]: Simplify 1 into 1
15.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.349 * [backup-simplify]: Simplify 0 into 0
15.349 * [taylor]: Taking taylor expansion of 0 in z
15.349 * [backup-simplify]: Simplify 0 into 0
15.349 * [backup-simplify]: Simplify 0 into 0
15.349 * [backup-simplify]: Simplify (* 1 1) into 1
15.349 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.350 * [backup-simplify]: Simplify (+ 1 0) into 1
15.350 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
15.350 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
15.350 * [taylor]: Taking taylor expansion of 1/2 in z
15.350 * [backup-simplify]: Simplify 1/2 into 1/2
15.350 * [taylor]: Taking taylor expansion of z in z
15.350 * [backup-simplify]: Simplify 0 into 0
15.350 * [backup-simplify]: Simplify 1 into 1
15.351 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.352 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
15.354 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
15.354 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
15.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
15.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
15.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
15.354 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.354 * [taylor]: Taking taylor expansion of y in z
15.354 * [backup-simplify]: Simplify y into y
15.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
15.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
15.355 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.355 * [taylor]: Taking taylor expansion of x in z
15.355 * [backup-simplify]: Simplify x into x
15.355 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.355 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.355 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.355 * [taylor]: Taking taylor expansion of z in z
15.355 * [backup-simplify]: Simplify 0 into 0
15.355 * [backup-simplify]: Simplify 1 into 1
15.356 * [backup-simplify]: Simplify (* 1 1) into 1
15.356 * [backup-simplify]: Simplify (/ 1 1) into 1
15.357 * [backup-simplify]: Simplify (+ 0 1) into 1
15.357 * [backup-simplify]: Simplify (+ 0 1) into 1
15.358 * [backup-simplify]: Simplify (sqrt 1) into 1
15.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.360 * [backup-simplify]: Simplify (+ 0 0) into 0
15.360 * [backup-simplify]: Simplify (+ 0 0) into 0
15.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
15.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
15.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.361 * [taylor]: Taking taylor expansion of y in y
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 1 into 1
15.361 * [backup-simplify]: Simplify (* 1 1) into 1
15.362 * [backup-simplify]: Simplify (/ 1 1) into 1
15.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
15.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
15.362 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.362 * [taylor]: Taking taylor expansion of x in y
15.362 * [backup-simplify]: Simplify x into x
15.362 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.363 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.363 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.363 * [taylor]: Taking taylor expansion of z in y
15.363 * [backup-simplify]: Simplify z into z
15.363 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.363 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.364 * [backup-simplify]: Simplify (+ 1 0) into 1
15.364 * [backup-simplify]: Simplify (sqrt 1) into 1
15.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.366 * [backup-simplify]: Simplify (+ 0 0) into 0
15.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.367 * [taylor]: Taking taylor expansion of y in x
15.367 * [backup-simplify]: Simplify y into y
15.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.368 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.368 * [taylor]: Taking taylor expansion of x in x
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify 1 into 1
15.369 * [backup-simplify]: Simplify (* 1 1) into 1
15.369 * [backup-simplify]: Simplify (/ 1 1) into 1
15.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.369 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.369 * [taylor]: Taking taylor expansion of z in x
15.369 * [backup-simplify]: Simplify z into z
15.369 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.370 * [backup-simplify]: Simplify (+ 1 0) into 1
15.371 * [backup-simplify]: Simplify (+ 0 1) into 1
15.371 * [backup-simplify]: Simplify (sqrt 1) into 1
15.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.373 * [backup-simplify]: Simplify (+ 0 0) into 0
15.373 * [backup-simplify]: Simplify (+ 0 0) into 0
15.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.374 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.374 * [taylor]: Taking taylor expansion of y in x
15.374 * [backup-simplify]: Simplify y into y
15.374 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.375 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.375 * [taylor]: Taking taylor expansion of x in x
15.375 * [backup-simplify]: Simplify 0 into 0
15.375 * [backup-simplify]: Simplify 1 into 1
15.375 * [backup-simplify]: Simplify (* 1 1) into 1
15.376 * [backup-simplify]: Simplify (/ 1 1) into 1
15.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.376 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.376 * [taylor]: Taking taylor expansion of z in x
15.376 * [backup-simplify]: Simplify z into z
15.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.376 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.377 * [backup-simplify]: Simplify (+ 1 0) into 1
15.377 * [backup-simplify]: Simplify (+ 0 1) into 1
15.378 * [backup-simplify]: Simplify (sqrt 1) into 1
15.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.380 * [backup-simplify]: Simplify (+ 0 0) into 0
15.380 * [backup-simplify]: Simplify (+ 0 0) into 0
15.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.381 * [taylor]: Taking taylor expansion of 1 in y
15.381 * [backup-simplify]: Simplify 1 into 1
15.381 * [taylor]: Taking taylor expansion of 0 in y
15.381 * [backup-simplify]: Simplify 0 into 0
15.381 * [taylor]: Taking taylor expansion of 1 in z
15.381 * [backup-simplify]: Simplify 1 into 1
15.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.385 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
15.387 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
15.387 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
15.387 * [taylor]: Taking taylor expansion of 1/2 in y
15.388 * [backup-simplify]: Simplify 1/2 into 1/2
15.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
15.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.388 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.388 * [taylor]: Taking taylor expansion of y in y
15.388 * [backup-simplify]: Simplify 0 into 0
15.388 * [backup-simplify]: Simplify 1 into 1
15.388 * [backup-simplify]: Simplify (* 1 1) into 1
15.389 * [backup-simplify]: Simplify (/ 1 1) into 1
15.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.389 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.389 * [taylor]: Taking taylor expansion of z in y
15.389 * [backup-simplify]: Simplify z into z
15.389 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.389 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.391 * [backup-simplify]: Simplify (+ 0 0) into 0
15.392 * [backup-simplify]: Simplify (+ 1 0) into 1
15.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.392 * [taylor]: Taking taylor expansion of 0 in z
15.393 * [backup-simplify]: Simplify 0 into 0
15.393 * [taylor]: Taking taylor expansion of 0 in z
15.393 * [backup-simplify]: Simplify 0 into 0
15.393 * [taylor]: Taking taylor expansion of 0 in z
15.393 * [backup-simplify]: Simplify 0 into 0
15.393 * [backup-simplify]: Simplify 1 into 1
15.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.397 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.398 * [backup-simplify]: Simplify (+ 0 0) into 0
15.399 * [backup-simplify]: Simplify (+ 0 0) into 0
15.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
15.400 * [taylor]: Taking taylor expansion of 0 in y
15.400 * [backup-simplify]: Simplify 0 into 0
15.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.401 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.402 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
15.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
15.402 * [taylor]: Taking taylor expansion of 1/2 in z
15.402 * [backup-simplify]: Simplify 1/2 into 1/2
15.402 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.402 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.402 * [taylor]: Taking taylor expansion of z in z
15.402 * [backup-simplify]: Simplify 0 into 0
15.402 * [backup-simplify]: Simplify 1 into 1
15.403 * [backup-simplify]: Simplify (* 1 1) into 1
15.403 * [backup-simplify]: Simplify (/ 1 1) into 1
15.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.404 * [backup-simplify]: Simplify 0 into 0
15.404 * [taylor]: Taking taylor expansion of 0 in z
15.404 * [backup-simplify]: Simplify 0 into 0
15.404 * [taylor]: Taking taylor expansion of 0 in z
15.404 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.408 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
15.409 * [backup-simplify]: Simplify (+ 0 0) into 0
15.409 * [backup-simplify]: Simplify (+ 0 0) into 0
15.411 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
15.411 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
15.411 * [taylor]: Taking taylor expansion of -1/2 in y
15.411 * [backup-simplify]: Simplify -1/2 into -1/2
15.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
15.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
15.411 * [taylor]: Taking taylor expansion of 1/2 in y
15.411 * [backup-simplify]: Simplify 1/2 into 1/2
15.411 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
15.411 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
15.411 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.411 * [taylor]: Taking taylor expansion of z in y
15.411 * [backup-simplify]: Simplify z into z
15.411 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.411 * [taylor]: Taking taylor expansion of y in y
15.411 * [backup-simplify]: Simplify 0 into 0
15.411 * [backup-simplify]: Simplify 1 into 1
15.411 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.412 * [backup-simplify]: Simplify (* 1 1) into 1
15.412 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
15.412 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.412 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
15.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
15.412 * [taylor]: Taking taylor expansion of 1/4 in y
15.412 * [backup-simplify]: Simplify 1/4 into 1/4
15.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
15.412 * [taylor]: Taking taylor expansion of (pow y 4) in y
15.412 * [taylor]: Taking taylor expansion of y in y
15.412 * [backup-simplify]: Simplify 0 into 0
15.412 * [backup-simplify]: Simplify 1 into 1
15.412 * [backup-simplify]: Simplify (* 1 1) into 1
15.413 * [backup-simplify]: Simplify (* 1 1) into 1
15.413 * [backup-simplify]: Simplify (/ 1 1) into 1
15.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
15.413 * [taylor]: Taking taylor expansion of 1/4 in y
15.413 * [backup-simplify]: Simplify 1/4 into 1/4
15.413 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
15.413 * [taylor]: Taking taylor expansion of (pow z 4) in y
15.413 * [taylor]: Taking taylor expansion of z in y
15.413 * [backup-simplify]: Simplify z into z
15.413 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.414 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
15.414 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
15.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.414 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.415 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
15.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
15.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.422 * [backup-simplify]: Simplify (+ 0 0) into 0
15.422 * [backup-simplify]: Simplify (+ 0 0) into 0
15.423 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
15.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
15.423 * [backup-simplify]: Simplify (+ 0 0) into 0
15.424 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
15.424 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
15.424 * [backup-simplify]: Simplify (+ 0 0) into 0
15.425 * [backup-simplify]: Simplify (+ 0 0) into 0
15.425 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
15.425 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
15.426 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
15.427 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
15.427 * [taylor]: Taking taylor expansion of 0 in z
15.427 * [backup-simplify]: Simplify 0 into 0
15.427 * [taylor]: Taking taylor expansion of 0 in z
15.427 * [backup-simplify]: Simplify 0 into 0
15.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.428 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.429 * [backup-simplify]: Simplify (+ 0 0) into 0
15.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
15.430 * [taylor]: Taking taylor expansion of 0 in z
15.430 * [backup-simplify]: Simplify 0 into 0
15.430 * [taylor]: Taking taylor expansion of 0 in z
15.430 * [backup-simplify]: Simplify 0 into 0
15.430 * [taylor]: Taking taylor expansion of 0 in z
15.430 * [backup-simplify]: Simplify 0 into 0
15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
15.433 * [backup-simplify]: Simplify 0 into 0
15.434 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
15.435 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
15.435 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
15.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
15.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
15.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
15.436 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.436 * [taylor]: Taking taylor expansion of y in z
15.436 * [backup-simplify]: Simplify y into y
15.436 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.436 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
15.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
15.436 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.436 * [taylor]: Taking taylor expansion of x in z
15.436 * [backup-simplify]: Simplify x into x
15.436 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.437 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.437 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.437 * [taylor]: Taking taylor expansion of z in z
15.437 * [backup-simplify]: Simplify 0 into 0
15.437 * [backup-simplify]: Simplify 1 into 1
15.438 * [backup-simplify]: Simplify (* 1 1) into 1
15.438 * [backup-simplify]: Simplify (/ 1 1) into 1
15.438 * [backup-simplify]: Simplify (+ 0 1) into 1
15.439 * [backup-simplify]: Simplify (+ 0 1) into 1
15.439 * [backup-simplify]: Simplify (sqrt 1) into 1
15.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.441 * [backup-simplify]: Simplify (+ 0 0) into 0
15.442 * [backup-simplify]: Simplify (+ 0 0) into 0
15.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
15.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
15.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.443 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.443 * [taylor]: Taking taylor expansion of y in y
15.443 * [backup-simplify]: Simplify 0 into 0
15.443 * [backup-simplify]: Simplify 1 into 1
15.443 * [backup-simplify]: Simplify (* 1 1) into 1
15.443 * [backup-simplify]: Simplify (/ 1 1) into 1
15.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
15.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
15.444 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.444 * [taylor]: Taking taylor expansion of x in y
15.444 * [backup-simplify]: Simplify x into x
15.444 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.444 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.444 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.444 * [taylor]: Taking taylor expansion of z in y
15.444 * [backup-simplify]: Simplify z into z
15.445 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.445 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.445 * [backup-simplify]: Simplify (+ 1 0) into 1
15.446 * [backup-simplify]: Simplify (sqrt 1) into 1
15.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.448 * [backup-simplify]: Simplify (+ 0 0) into 0
15.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.449 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.449 * [taylor]: Taking taylor expansion of y in x
15.449 * [backup-simplify]: Simplify y into y
15.449 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.450 * [taylor]: Taking taylor expansion of x in x
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [backup-simplify]: Simplify 1 into 1
15.450 * [backup-simplify]: Simplify (* 1 1) into 1
15.450 * [backup-simplify]: Simplify (/ 1 1) into 1
15.451 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.451 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.451 * [taylor]: Taking taylor expansion of z in x
15.451 * [backup-simplify]: Simplify z into z
15.451 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.451 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.452 * [backup-simplify]: Simplify (+ 1 0) into 1
15.452 * [backup-simplify]: Simplify (+ 0 1) into 1
15.453 * [backup-simplify]: Simplify (sqrt 1) into 1
15.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.454 * [backup-simplify]: Simplify (+ 0 0) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.456 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.456 * [taylor]: Taking taylor expansion of y in x
15.456 * [backup-simplify]: Simplify y into y
15.456 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.457 * [taylor]: Taking taylor expansion of x in x
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify 1 into 1
15.457 * [backup-simplify]: Simplify (* 1 1) into 1
15.458 * [backup-simplify]: Simplify (/ 1 1) into 1
15.458 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.458 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.458 * [taylor]: Taking taylor expansion of z in x
15.458 * [backup-simplify]: Simplify z into z
15.458 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.458 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.459 * [backup-simplify]: Simplify (+ 1 0) into 1
15.459 * [backup-simplify]: Simplify (+ 0 1) into 1
15.460 * [backup-simplify]: Simplify (sqrt 1) into 1
15.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.461 * [backup-simplify]: Simplify (+ 0 0) into 0
15.462 * [backup-simplify]: Simplify (+ 0 0) into 0
15.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.463 * [taylor]: Taking taylor expansion of 1 in y
15.463 * [backup-simplify]: Simplify 1 into 1
15.463 * [taylor]: Taking taylor expansion of 0 in y
15.463 * [backup-simplify]: Simplify 0 into 0
15.463 * [taylor]: Taking taylor expansion of 1 in z
15.463 * [backup-simplify]: Simplify 1 into 1
15.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.466 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.467 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
15.469 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
15.469 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
15.469 * [taylor]: Taking taylor expansion of 1/2 in y
15.469 * [backup-simplify]: Simplify 1/2 into 1/2
15.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
15.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.469 * [taylor]: Taking taylor expansion of y in y
15.469 * [backup-simplify]: Simplify 0 into 0
15.469 * [backup-simplify]: Simplify 1 into 1
15.470 * [backup-simplify]: Simplify (* 1 1) into 1
15.470 * [backup-simplify]: Simplify (/ 1 1) into 1
15.470 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.470 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.470 * [taylor]: Taking taylor expansion of z in y
15.470 * [backup-simplify]: Simplify z into z
15.470 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.471 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.473 * [backup-simplify]: Simplify (+ 0 0) into 0
15.473 * [backup-simplify]: Simplify (+ 1 0) into 1
15.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.474 * [taylor]: Taking taylor expansion of 0 in z
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [taylor]: Taking taylor expansion of 0 in z
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [taylor]: Taking taylor expansion of 0 in z
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [backup-simplify]: Simplify 1 into 1
15.475 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.480 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.482 * [backup-simplify]: Simplify (+ 0 0) into 0
15.482 * [backup-simplify]: Simplify (+ 0 0) into 0
15.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
15.485 * [taylor]: Taking taylor expansion of 0 in y
15.485 * [backup-simplify]: Simplify 0 into 0
15.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.487 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.489 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
15.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
15.489 * [taylor]: Taking taylor expansion of 1/2 in z
15.489 * [backup-simplify]: Simplify 1/2 into 1/2
15.489 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.489 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.489 * [taylor]: Taking taylor expansion of z in z
15.489 * [backup-simplify]: Simplify 0 into 0
15.489 * [backup-simplify]: Simplify 1 into 1
15.489 * [backup-simplify]: Simplify (* 1 1) into 1
15.490 * [backup-simplify]: Simplify (/ 1 1) into 1
15.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.492 * [backup-simplify]: Simplify 0 into 0
15.492 * [taylor]: Taking taylor expansion of 0 in z
15.492 * [backup-simplify]: Simplify 0 into 0
15.492 * [taylor]: Taking taylor expansion of 0 in z
15.492 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.498 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
15.500 * [backup-simplify]: Simplify (+ 0 0) into 0
15.500 * [backup-simplify]: Simplify (+ 0 0) into 0
15.504 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
15.504 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
15.504 * [taylor]: Taking taylor expansion of -1/2 in y
15.504 * [backup-simplify]: Simplify -1/2 into -1/2
15.504 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
15.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
15.504 * [taylor]: Taking taylor expansion of 1/2 in y
15.504 * [backup-simplify]: Simplify 1/2 into 1/2
15.504 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
15.504 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
15.505 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.505 * [taylor]: Taking taylor expansion of z in y
15.505 * [backup-simplify]: Simplify z into z
15.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.505 * [taylor]: Taking taylor expansion of y in y
15.505 * [backup-simplify]: Simplify 0 into 0
15.505 * [backup-simplify]: Simplify 1 into 1
15.505 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.505 * [backup-simplify]: Simplify (* 1 1) into 1
15.506 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
15.506 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.506 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
15.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
15.506 * [taylor]: Taking taylor expansion of 1/4 in y
15.506 * [backup-simplify]: Simplify 1/4 into 1/4
15.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
15.506 * [taylor]: Taking taylor expansion of (pow y 4) in y
15.506 * [taylor]: Taking taylor expansion of y in y
15.506 * [backup-simplify]: Simplify 0 into 0
15.506 * [backup-simplify]: Simplify 1 into 1
15.507 * [backup-simplify]: Simplify (* 1 1) into 1
15.507 * [backup-simplify]: Simplify (* 1 1) into 1
15.508 * [backup-simplify]: Simplify (/ 1 1) into 1
15.508 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
15.508 * [taylor]: Taking taylor expansion of 1/4 in y
15.508 * [backup-simplify]: Simplify 1/4 into 1/4
15.508 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
15.508 * [taylor]: Taking taylor expansion of (pow z 4) in y
15.508 * [taylor]: Taking taylor expansion of z in y
15.508 * [backup-simplify]: Simplify z into z
15.508 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.509 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
15.509 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
15.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.510 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.511 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
15.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
15.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.524 * [backup-simplify]: Simplify (+ 0 0) into 0
15.524 * [backup-simplify]: Simplify (+ 0 0) into 0
15.525 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
15.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
15.526 * [backup-simplify]: Simplify (+ 0 0) into 0
15.527 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
15.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
15.528 * [backup-simplify]: Simplify (+ 0 0) into 0
15.529 * [backup-simplify]: Simplify (+ 0 0) into 0
15.529 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
15.529 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
15.530 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
15.532 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
15.532 * [taylor]: Taking taylor expansion of 0 in z
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [taylor]: Taking taylor expansion of 0 in z
15.532 * [backup-simplify]: Simplify 0 into 0
15.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.535 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.536 * [backup-simplify]: Simplify (+ 0 0) into 0
15.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
15.538 * [taylor]: Taking taylor expansion of 0 in z
15.538 * [backup-simplify]: Simplify 0 into 0
15.538 * [taylor]: Taking taylor expansion of 0 in z
15.538 * [backup-simplify]: Simplify 0 into 0
15.538 * [taylor]: Taking taylor expansion of 0 in z
15.538 * [backup-simplify]: Simplify 0 into 0
15.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
15.542 * * * * [progress]: [ 2 / 2 ] generating series at (2)
15.544 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
15.544 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
15.545 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
15.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
15.545 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
15.545 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.545 * [taylor]: Taking taylor expansion of y in z
15.545 * [backup-simplify]: Simplify y into y
15.545 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
15.545 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.545 * [taylor]: Taking taylor expansion of x in z
15.545 * [backup-simplify]: Simplify x into x
15.545 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.545 * [taylor]: Taking taylor expansion of z in z
15.545 * [backup-simplify]: Simplify 0 into 0
15.545 * [backup-simplify]: Simplify 1 into 1
15.545 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.545 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.546 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
15.547 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
15.547 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
15.548 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.548 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.548 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
15.550 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.550 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.550 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.550 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.551 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
15.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
15.551 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
15.551 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.551 * [taylor]: Taking taylor expansion of y in y
15.551 * [backup-simplify]: Simplify 0 into 0
15.552 * [backup-simplify]: Simplify 1 into 1
15.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
15.552 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.552 * [taylor]: Taking taylor expansion of x in y
15.552 * [backup-simplify]: Simplify x into x
15.552 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.552 * [taylor]: Taking taylor expansion of z in y
15.552 * [backup-simplify]: Simplify z into z
15.552 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.552 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.553 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
15.554 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
15.555 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
15.555 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.555 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.556 * [backup-simplify]: Simplify (+ 0 0) into 0
15.556 * [backup-simplify]: Simplify (+ 0 0) into 0
15.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
15.557 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.557 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.557 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.558 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.559 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
15.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
15.559 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
15.559 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.559 * [taylor]: Taking taylor expansion of y in x
15.559 * [backup-simplify]: Simplify y into y
15.559 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
15.559 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.559 * [taylor]: Taking taylor expansion of x in x
15.559 * [backup-simplify]: Simplify 0 into 0
15.559 * [backup-simplify]: Simplify 1 into 1
15.559 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.559 * [taylor]: Taking taylor expansion of z in x
15.559 * [backup-simplify]: Simplify z into z
15.559 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.559 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.560 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.561 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
15.562 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
15.562 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.562 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.562 * [backup-simplify]: Simplify (+ 0 0) into 0
15.563 * [backup-simplify]: Simplify (+ 0 0) into 0
15.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
15.564 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.564 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.564 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.564 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.565 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
15.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
15.565 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
15.565 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.565 * [taylor]: Taking taylor expansion of y in x
15.566 * [backup-simplify]: Simplify y into y
15.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
15.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.566 * [taylor]: Taking taylor expansion of x in x
15.566 * [backup-simplify]: Simplify 0 into 0
15.566 * [backup-simplify]: Simplify 1 into 1
15.566 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.566 * [taylor]: Taking taylor expansion of z in x
15.566 * [backup-simplify]: Simplify z into z
15.566 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.566 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.567 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.567 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
15.568 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
15.568 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.569 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.569 * [backup-simplify]: Simplify (+ 0 0) into 0
15.570 * [backup-simplify]: Simplify (+ 0 0) into 0
15.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
15.571 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.571 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.571 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.571 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.573 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
15.574 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
15.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
15.574 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
15.574 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.574 * [taylor]: Taking taylor expansion of y in y
15.574 * [backup-simplify]: Simplify 0 into 0
15.574 * [backup-simplify]: Simplify 1 into 1
15.574 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.574 * [taylor]: Taking taylor expansion of z in y
15.574 * [backup-simplify]: Simplify z into z
15.574 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.574 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.575 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
15.575 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.575 * [backup-simplify]: Simplify (+ 0 0) into 0
15.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
15.576 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.576 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.576 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.577 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.578 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
15.578 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
15.578 * [taylor]: Taking taylor expansion of z in z
15.578 * [backup-simplify]: Simplify 0 into 0
15.578 * [backup-simplify]: Simplify 1 into 1
15.578 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.578 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.579 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.580 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
15.580 * [backup-simplify]: Simplify 0 into 0
15.582 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.582 * [taylor]: Taking taylor expansion of 0 in y
15.582 * [backup-simplify]: Simplify 0 into 0
15.582 * [taylor]: Taking taylor expansion of 0 in z
15.582 * [backup-simplify]: Simplify 0 into 0
15.582 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.583 * [taylor]: Taking taylor expansion of 0 in z
15.583 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
15.586 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.588 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.588 * [backup-simplify]: Simplify (* 1 1) into 1
15.589 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.589 * [backup-simplify]: Simplify (+ 1 0) into 1
15.590 * [backup-simplify]: Simplify (+ 0 1) into 1
15.592 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
15.595 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
15.595 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
15.595 * [taylor]: Taking taylor expansion of 1/2 in y
15.595 * [backup-simplify]: Simplify 1/2 into 1/2
15.595 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
15.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
15.595 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
15.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
15.595 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.595 * [taylor]: Taking taylor expansion of y in y
15.595 * [backup-simplify]: Simplify 0 into 0
15.596 * [backup-simplify]: Simplify 1 into 1
15.596 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.596 * [taylor]: Taking taylor expansion of z in y
15.596 * [backup-simplify]: Simplify z into z
15.596 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.596 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
15.597 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.597 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
15.597 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.598 * [backup-simplify]: Simplify (+ 0 0) into 0
15.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
15.599 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.599 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.600 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.600 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.601 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
15.602 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
15.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
15.602 * [taylor]: Taking taylor expansion of 1/2 in z
15.602 * [backup-simplify]: Simplify 1/2 into 1/2
15.602 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
15.602 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.602 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.602 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.602 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.603 * [taylor]: Taking taylor expansion of z in z
15.603 * [backup-simplify]: Simplify 0 into 0
15.603 * [backup-simplify]: Simplify 1 into 1
15.604 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.606 * [backup-simplify]: Simplify 0 into 0
15.607 * [taylor]: Taking taylor expansion of 0 in z
15.607 * [backup-simplify]: Simplify 0 into 0
15.607 * [backup-simplify]: Simplify 0 into 0
15.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.608 * [backup-simplify]: Simplify (* 1 1) into 1
15.609 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.610 * [backup-simplify]: Simplify (+ 1 0) into 1
15.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
15.612 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
15.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
15.612 * [taylor]: Taking taylor expansion of 1/2 in z
15.612 * [backup-simplify]: Simplify 1/2 into 1/2
15.612 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
15.612 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.612 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.612 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.612 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.613 * [taylor]: Taking taylor expansion of z in z
15.613 * [backup-simplify]: Simplify 0 into 0
15.613 * [backup-simplify]: Simplify 1 into 1
15.614 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.616 * [backup-simplify]: Simplify 0 into 0
15.616 * [backup-simplify]: Simplify 0 into 0
15.617 * [backup-simplify]: Simplify 0 into 0
15.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
15.619 * [backup-simplify]: Simplify 0 into 0
15.620 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
15.623 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
15.623 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
15.623 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
15.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
15.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
15.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
15.623 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.623 * [taylor]: Taking taylor expansion of y in z
15.623 * [backup-simplify]: Simplify y into y
15.623 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
15.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
15.624 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.624 * [taylor]: Taking taylor expansion of x in z
15.624 * [backup-simplify]: Simplify x into x
15.624 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.624 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.624 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.624 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.624 * [taylor]: Taking taylor expansion of z in z
15.624 * [backup-simplify]: Simplify 0 into 0
15.624 * [backup-simplify]: Simplify 1 into 1
15.625 * [backup-simplify]: Simplify (* 1 1) into 1
15.625 * [backup-simplify]: Simplify (/ 1 1) into 1
15.626 * [backup-simplify]: Simplify (+ 0 1) into 1
15.626 * [backup-simplify]: Simplify (+ 0 1) into 1
15.627 * [backup-simplify]: Simplify (sqrt 1) into 1
15.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.629 * [backup-simplify]: Simplify (+ 0 0) into 0
15.629 * [backup-simplify]: Simplify (+ 0 0) into 0
15.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.630 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.630 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.630 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.631 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.632 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
15.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
15.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
15.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.632 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.632 * [taylor]: Taking taylor expansion of y in y
15.632 * [backup-simplify]: Simplify 0 into 0
15.632 * [backup-simplify]: Simplify 1 into 1
15.632 * [backup-simplify]: Simplify (* 1 1) into 1
15.633 * [backup-simplify]: Simplify (/ 1 1) into 1
15.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
15.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
15.633 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.633 * [taylor]: Taking taylor expansion of x in y
15.633 * [backup-simplify]: Simplify x into x
15.633 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.634 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.634 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.634 * [taylor]: Taking taylor expansion of z in y
15.634 * [backup-simplify]: Simplify z into z
15.634 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.634 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.635 * [backup-simplify]: Simplify (+ 1 0) into 1
15.635 * [backup-simplify]: Simplify (sqrt 1) into 1
15.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.637 * [backup-simplify]: Simplify (+ 0 0) into 0
15.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.638 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.639 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.640 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
15.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.640 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.640 * [taylor]: Taking taylor expansion of y in x
15.640 * [backup-simplify]: Simplify y into y
15.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.641 * [taylor]: Taking taylor expansion of x in x
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [backup-simplify]: Simplify 1 into 1
15.641 * [backup-simplify]: Simplify (* 1 1) into 1
15.641 * [backup-simplify]: Simplify (/ 1 1) into 1
15.641 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.641 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.641 * [taylor]: Taking taylor expansion of z in x
15.642 * [backup-simplify]: Simplify z into z
15.642 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.642 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.643 * [backup-simplify]: Simplify (+ 1 0) into 1
15.643 * [backup-simplify]: Simplify (+ 0 1) into 1
15.643 * [backup-simplify]: Simplify (sqrt 1) into 1
15.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.645 * [backup-simplify]: Simplify (+ 0 0) into 0
15.646 * [backup-simplify]: Simplify (+ 0 0) into 0
15.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.647 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.647 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.647 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.647 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.648 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
15.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.648 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.648 * [taylor]: Taking taylor expansion of y in x
15.648 * [backup-simplify]: Simplify y into y
15.648 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.649 * [taylor]: Taking taylor expansion of x in x
15.649 * [backup-simplify]: Simplify 0 into 0
15.649 * [backup-simplify]: Simplify 1 into 1
15.651 * [backup-simplify]: Simplify (* 1 1) into 1
15.652 * [backup-simplify]: Simplify (/ 1 1) into 1
15.652 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.652 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.652 * [taylor]: Taking taylor expansion of z in x
15.652 * [backup-simplify]: Simplify z into z
15.652 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.652 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.652 * [backup-simplify]: Simplify (+ 1 0) into 1
15.653 * [backup-simplify]: Simplify (+ 0 1) into 1
15.653 * [backup-simplify]: Simplify (sqrt 1) into 1
15.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.654 * [backup-simplify]: Simplify (+ 0 0) into 0
15.654 * [backup-simplify]: Simplify (+ 0 0) into 0
15.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.655 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.655 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.655 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.655 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.656 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
15.656 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.656 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.656 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.656 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.657 * [taylor]: Taking taylor expansion of 0 in y
15.658 * [backup-simplify]: Simplify 0 into 0
15.658 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.658 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.658 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.661 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.662 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
15.663 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
15.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
15.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
15.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
15.665 * [taylor]: Taking taylor expansion of 1/2 in y
15.665 * [backup-simplify]: Simplify 1/2 into 1/2
15.665 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
15.665 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.665 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.665 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.665 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.666 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.666 * [taylor]: Taking taylor expansion of z in y
15.666 * [backup-simplify]: Simplify z into z
15.666 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.666 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
15.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
15.666 * [taylor]: Taking taylor expansion of 1/2 in y
15.666 * [backup-simplify]: Simplify 1/2 into 1/2
15.666 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
15.666 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.666 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.666 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.667 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.667 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.667 * [taylor]: Taking taylor expansion of y in y
15.667 * [backup-simplify]: Simplify 0 into 0
15.667 * [backup-simplify]: Simplify 1 into 1
15.668 * [backup-simplify]: Simplify (* 1 1) into 1
15.668 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.670 * [backup-simplify]: Simplify (+ 0 0) into 0
15.670 * [taylor]: Taking taylor expansion of 0 in z
15.670 * [backup-simplify]: Simplify 0 into 0
15.670 * [taylor]: Taking taylor expansion of 0 in z
15.670 * [backup-simplify]: Simplify 0 into 0
15.670 * [taylor]: Taking taylor expansion of 0 in z
15.670 * [backup-simplify]: Simplify 0 into 0
15.670 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.673 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.674 * [backup-simplify]: Simplify (+ 0 0) into 0
15.674 * [backup-simplify]: Simplify (+ 0 0) into 0
15.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
15.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.677 * [taylor]: Taking taylor expansion of 0 in y
15.677 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
15.678 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
15.683 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
15.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
15.683 * [taylor]: Taking taylor expansion of 1/2 in z
15.683 * [backup-simplify]: Simplify 1/2 into 1/2
15.683 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
15.683 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.683 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.684 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.684 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.684 * [taylor]: Taking taylor expansion of z in z
15.684 * [backup-simplify]: Simplify 0 into 0
15.684 * [backup-simplify]: Simplify 1 into 1
15.685 * [backup-simplify]: Simplify (* 1 1) into 1
15.686 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.689 * [backup-simplify]: Simplify 0 into 0
15.689 * [taylor]: Taking taylor expansion of 0 in z
15.689 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.690 * [taylor]: Taking taylor expansion of 0 in z
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.693 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.697 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
15.700 * [backup-simplify]: Simplify (+ 0 0) into 0
15.700 * [backup-simplify]: Simplify (+ 0 0) into 0
15.703 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
15.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
15.712 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
15.712 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
15.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
15.713 * [taylor]: Taking taylor expansion of 1/4 in y
15.713 * [backup-simplify]: Simplify 1/4 into 1/4
15.713 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
15.713 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.713 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.713 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.713 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.714 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
15.714 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.714 * [taylor]: Taking taylor expansion of z in y
15.714 * [backup-simplify]: Simplify z into z
15.714 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.714 * [taylor]: Taking taylor expansion of y in y
15.714 * [backup-simplify]: Simplify 0 into 0
15.714 * [backup-simplify]: Simplify 1 into 1
15.714 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.715 * [backup-simplify]: Simplify (* 1 1) into 1
15.715 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
15.716 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
15.716 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
15.716 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
15.716 * [taylor]: Taking taylor expansion of 1/8 in y
15.716 * [backup-simplify]: Simplify 1/8 into 1/8
15.716 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
15.716 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.716 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.716 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.717 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.718 * [taylor]: Taking taylor expansion of (pow y 4) in y
15.718 * [taylor]: Taking taylor expansion of y in y
15.718 * [backup-simplify]: Simplify 0 into 0
15.718 * [backup-simplify]: Simplify 1 into 1
15.718 * [backup-simplify]: Simplify (* 1 1) into 1
15.719 * [backup-simplify]: Simplify (* 1 1) into 1
15.720 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.720 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
15.720 * [taylor]: Taking taylor expansion of 1/8 in y
15.720 * [backup-simplify]: Simplify 1/8 into 1/8
15.720 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
15.720 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.720 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.720 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.720 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.721 * [taylor]: Taking taylor expansion of (pow z 4) in y
15.721 * [taylor]: Taking taylor expansion of z in y
15.721 * [backup-simplify]: Simplify z into z
15.721 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.722 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
15.723 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
15.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.724 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.725 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
15.727 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
15.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
15.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.742 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.743 * [backup-simplify]: Simplify (+ 0 0) into 0
15.743 * [backup-simplify]: Simplify (+ 0 0) into 0
15.743 * [backup-simplify]: Simplify (- 0) into 0
15.743 * [taylor]: Taking taylor expansion of 0 in z
15.743 * [backup-simplify]: Simplify 0 into 0
15.743 * [taylor]: Taking taylor expansion of 0 in z
15.744 * [backup-simplify]: Simplify 0 into 0
15.744 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.746 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
15.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
15.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.753 * [backup-simplify]: Simplify (+ 0 0) into 0
15.753 * [taylor]: Taking taylor expansion of 0 in z
15.753 * [backup-simplify]: Simplify 0 into 0
15.753 * [taylor]: Taking taylor expansion of 0 in z
15.753 * [backup-simplify]: Simplify 0 into 0
15.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.755 * [taylor]: Taking taylor expansion of 0 in z
15.755 * [backup-simplify]: Simplify 0 into 0
15.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
15.760 * [backup-simplify]: Simplify 0 into 0
15.761 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
15.764 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
15.764 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
15.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
15.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
15.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
15.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
15.764 * [taylor]: Taking taylor expansion of (pow y 2) in z
15.764 * [taylor]: Taking taylor expansion of y in z
15.764 * [backup-simplify]: Simplify y into y
15.764 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.765 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
15.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
15.765 * [taylor]: Taking taylor expansion of (pow x 2) in z
15.765 * [taylor]: Taking taylor expansion of x in z
15.765 * [backup-simplify]: Simplify x into x
15.765 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.765 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.765 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
15.765 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.765 * [taylor]: Taking taylor expansion of z in z
15.765 * [backup-simplify]: Simplify 0 into 0
15.766 * [backup-simplify]: Simplify 1 into 1
15.766 * [backup-simplify]: Simplify (* 1 1) into 1
15.766 * [backup-simplify]: Simplify (/ 1 1) into 1
15.767 * [backup-simplify]: Simplify (+ 0 1) into 1
15.767 * [backup-simplify]: Simplify (+ 0 1) into 1
15.768 * [backup-simplify]: Simplify (sqrt 1) into 1
15.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.770 * [backup-simplify]: Simplify (+ 0 0) into 0
15.770 * [backup-simplify]: Simplify (+ 0 0) into 0
15.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.771 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.771 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.771 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.771 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
15.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
15.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
15.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
15.772 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.772 * [taylor]: Taking taylor expansion of y in y
15.772 * [backup-simplify]: Simplify 0 into 0
15.772 * [backup-simplify]: Simplify 1 into 1
15.772 * [backup-simplify]: Simplify (* 1 1) into 1
15.772 * [backup-simplify]: Simplify (/ 1 1) into 1
15.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
15.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
15.773 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.773 * [taylor]: Taking taylor expansion of x in y
15.773 * [backup-simplify]: Simplify x into x
15.773 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.773 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
15.773 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.773 * [taylor]: Taking taylor expansion of z in y
15.773 * [backup-simplify]: Simplify z into z
15.773 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.773 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.774 * [backup-simplify]: Simplify (+ 1 0) into 1
15.774 * [backup-simplify]: Simplify (sqrt 1) into 1
15.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.775 * [backup-simplify]: Simplify (+ 0 0) into 0
15.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.775 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.776 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.776 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.776 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.776 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
15.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.776 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.776 * [taylor]: Taking taylor expansion of y in x
15.776 * [backup-simplify]: Simplify y into y
15.776 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.777 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.777 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.777 * [taylor]: Taking taylor expansion of x in x
15.777 * [backup-simplify]: Simplify 0 into 0
15.777 * [backup-simplify]: Simplify 1 into 1
15.777 * [backup-simplify]: Simplify (* 1 1) into 1
15.777 * [backup-simplify]: Simplify (/ 1 1) into 1
15.777 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.777 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.777 * [taylor]: Taking taylor expansion of z in x
15.777 * [backup-simplify]: Simplify z into z
15.778 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.778 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.778 * [backup-simplify]: Simplify (+ 1 0) into 1
15.778 * [backup-simplify]: Simplify (+ 0 1) into 1
15.779 * [backup-simplify]: Simplify (sqrt 1) into 1
15.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.780 * [backup-simplify]: Simplify (+ 0 0) into 0
15.780 * [backup-simplify]: Simplify (+ 0 0) into 0
15.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.780 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.780 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.780 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.781 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.781 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
15.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
15.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
15.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
15.781 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.781 * [taylor]: Taking taylor expansion of y in x
15.781 * [backup-simplify]: Simplify y into y
15.781 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
15.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
15.782 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.782 * [taylor]: Taking taylor expansion of x in x
15.782 * [backup-simplify]: Simplify 0 into 0
15.782 * [backup-simplify]: Simplify 1 into 1
15.782 * [backup-simplify]: Simplify (* 1 1) into 1
15.782 * [backup-simplify]: Simplify (/ 1 1) into 1
15.782 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
15.782 * [taylor]: Taking taylor expansion of (pow z 2) in x
15.782 * [taylor]: Taking taylor expansion of z in x
15.782 * [backup-simplify]: Simplify z into z
15.782 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.783 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
15.783 * [backup-simplify]: Simplify (+ 1 0) into 1
15.783 * [backup-simplify]: Simplify (+ 0 1) into 1
15.784 * [backup-simplify]: Simplify (sqrt 1) into 1
15.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.785 * [backup-simplify]: Simplify (+ 0 0) into 0
15.785 * [backup-simplify]: Simplify (+ 0 0) into 0
15.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.787 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
15.787 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
15.787 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.787 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.789 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
15.789 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.789 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.789 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.790 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.792 * [taylor]: Taking taylor expansion of 0 in y
15.792 * [backup-simplify]: Simplify 0 into 0
15.792 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.792 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.792 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.792 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.797 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
15.798 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
15.801 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
15.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
15.804 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
15.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
15.804 * [taylor]: Taking taylor expansion of 1/2 in y
15.804 * [backup-simplify]: Simplify 1/2 into 1/2
15.804 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
15.804 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.804 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.804 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.805 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.806 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.806 * [taylor]: Taking taylor expansion of z in y
15.806 * [backup-simplify]: Simplify z into z
15.806 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.807 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
15.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
15.807 * [taylor]: Taking taylor expansion of 1/2 in y
15.807 * [backup-simplify]: Simplify 1/2 into 1/2
15.807 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
15.807 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.807 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.807 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.807 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.808 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.808 * [taylor]: Taking taylor expansion of y in y
15.808 * [backup-simplify]: Simplify 0 into 0
15.808 * [backup-simplify]: Simplify 1 into 1
15.809 * [backup-simplify]: Simplify (* 1 1) into 1
15.810 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.813 * [backup-simplify]: Simplify (+ 0 0) into 0
15.813 * [taylor]: Taking taylor expansion of 0 in z
15.813 * [backup-simplify]: Simplify 0 into 0
15.813 * [taylor]: Taking taylor expansion of 0 in z
15.813 * [backup-simplify]: Simplify 0 into 0
15.813 * [taylor]: Taking taylor expansion of 0 in z
15.813 * [backup-simplify]: Simplify 0 into 0
15.814 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.815 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.819 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
15.821 * [backup-simplify]: Simplify (+ 0 0) into 0
15.821 * [backup-simplify]: Simplify (+ 0 0) into 0
15.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
15.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.826 * [taylor]: Taking taylor expansion of 0 in y
15.826 * [backup-simplify]: Simplify 0 into 0
15.827 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
15.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
15.833 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
15.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
15.833 * [taylor]: Taking taylor expansion of 1/2 in z
15.833 * [backup-simplify]: Simplify 1/2 into 1/2
15.833 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
15.833 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
15.833 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
15.833 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.834 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.835 * [taylor]: Taking taylor expansion of (pow z 2) in z
15.835 * [taylor]: Taking taylor expansion of z in z
15.835 * [backup-simplify]: Simplify 0 into 0
15.835 * [backup-simplify]: Simplify 1 into 1
15.835 * [backup-simplify]: Simplify (* 1 1) into 1
15.836 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
15.839 * [backup-simplify]: Simplify 0 into 0
15.839 * [taylor]: Taking taylor expansion of 0 in z
15.839 * [backup-simplify]: Simplify 0 into 0
15.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.840 * [taylor]: Taking taylor expansion of 0 in z
15.840 * [backup-simplify]: Simplify 0 into 0
15.840 * [backup-simplify]: Simplify 0 into 0
15.840 * [backup-simplify]: Simplify 0 into 0
15.840 * [backup-simplify]: Simplify 0 into 0
15.840 * [backup-simplify]: Simplify 0 into 0
15.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.843 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.848 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
15.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
15.850 * [backup-simplify]: Simplify (+ 0 0) into 0
15.850 * [backup-simplify]: Simplify (+ 0 0) into 0
15.854 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
15.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
15.862 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
15.862 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
15.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
15.862 * [taylor]: Taking taylor expansion of 1/4 in y
15.862 * [backup-simplify]: Simplify 1/4 into 1/4
15.862 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
15.862 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.862 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.862 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.863 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.864 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
15.864 * [taylor]: Taking taylor expansion of (pow z 2) in y
15.864 * [taylor]: Taking taylor expansion of z in y
15.864 * [backup-simplify]: Simplify z into z
15.864 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.864 * [taylor]: Taking taylor expansion of y in y
15.864 * [backup-simplify]: Simplify 0 into 0
15.864 * [backup-simplify]: Simplify 1 into 1
15.864 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.864 * [backup-simplify]: Simplify (* 1 1) into 1
15.865 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
15.866 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
15.866 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
15.866 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
15.866 * [taylor]: Taking taylor expansion of 1/8 in y
15.866 * [backup-simplify]: Simplify 1/8 into 1/8
15.866 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
15.866 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.866 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.866 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.867 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.867 * [taylor]: Taking taylor expansion of (pow y 4) in y
15.867 * [taylor]: Taking taylor expansion of y in y
15.867 * [backup-simplify]: Simplify 0 into 0
15.867 * [backup-simplify]: Simplify 1 into 1
15.868 * [backup-simplify]: Simplify (* 1 1) into 1
15.868 * [backup-simplify]: Simplify (* 1 1) into 1
15.869 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
15.869 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
15.869 * [taylor]: Taking taylor expansion of 1/8 in y
15.869 * [backup-simplify]: Simplify 1/8 into 1/8
15.869 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
15.869 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
15.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
15.869 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
15.870 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
15.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
15.871 * [taylor]: Taking taylor expansion of (pow z 4) in y
15.871 * [taylor]: Taking taylor expansion of z in y
15.871 * [backup-simplify]: Simplify z into z
15.871 * [backup-simplify]: Simplify (* z z) into (pow z 2)
15.872 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
15.873 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
15.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.873 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.874 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
15.876 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
15.878 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
15.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
15.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.892 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.892 * [backup-simplify]: Simplify (+ 0 0) into 0
15.893 * [backup-simplify]: Simplify (+ 0 0) into 0
15.893 * [backup-simplify]: Simplify (- 0) into 0
15.893 * [taylor]: Taking taylor expansion of 0 in z
15.893 * [backup-simplify]: Simplify 0 into 0
15.893 * [taylor]: Taking taylor expansion of 0 in z
15.893 * [backup-simplify]: Simplify 0 into 0
15.893 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
15.895 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
15.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
15.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
15.903 * [backup-simplify]: Simplify (+ 0 0) into 0
15.903 * [taylor]: Taking taylor expansion of 0 in z
15.903 * [backup-simplify]: Simplify 0 into 0
15.903 * [taylor]: Taking taylor expansion of 0 in z
15.903 * [backup-simplify]: Simplify 0 into 0
15.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
15.904 * [taylor]: Taking taylor expansion of 0 in z
15.905 * [backup-simplify]: Simplify 0 into 0
15.906 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
15.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
15.909 * [backup-simplify]: Simplify 0 into 0
15.910 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
15.910 * * * [progress]: simplifying candidates
15.910 * * * * [progress]: [ 1 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 2 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 3 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 4 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 5 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 6 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 7 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 8 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 9 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 10 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 11 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 12 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 13 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)) (sqrt (/ 1 3.0))))>
15.911 * * * * [progress]: [ 14 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (/ 1 3.0))))>
15.912 * * * * [progress]: [ 15 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))))>
15.912 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))))>
15.912 * * * * [progress]: [ 17 / 72 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 18 / 72 ] simplifiying candidate #<alt (λ (x y z) (pow (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) 1/2))>
15.912 * * * * [progress]: [ 19 / 72 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 1))>
15.912 * * * * [progress]: [ 20 / 72 ] simplifiying candidate #<alt (λ (x y z) (pow (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (/ 1 2)))>
15.912 * * * * [progress]: [ 21 / 72 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 1))>
15.912 * * * * [progress]: [ 22 / 72 ] simplifiying candidate #<alt (λ (x y z) (exp (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 23 / 72 ] simplifiying candidate #<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 24 / 72 ] simplifiying candidate #<alt (λ (x y z) (log (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 25 / 72 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 26 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 27 / 72 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.912 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))))>
15.913 * * * * [progress]: [ 29 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
15.913 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))))>
15.913 * * * * [progress]: [ 31 / 72 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
15.913 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))>
15.913 * * * * [progress]: [ 33 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))))>
15.913 * * * * [progress]: [ 34 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))))>
15.913 * * * * [progress]: [ 35 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))))>
15.913 * * * * [progress]: [ 36 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))))>
15.913 * * * * [progress]: [ 37 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))))>
15.913 * * * * [progress]: [ 38 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))))>
15.913 * * * * [progress]: [ 39 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))))>
15.913 * * * * [progress]: [ 40 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))))>
15.913 * * * * [progress]: [ 41 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (cbrt (sqrt (/ 1 3.0)))))>
15.914 * * * * [progress]: [ 42 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (sqrt (cbrt (/ 1 3.0)))))>
15.914 * * * * [progress]: [ 43 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (sqrt (sqrt (/ 1 3.0)))))>
15.914 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (cbrt 1) (cbrt 3.0)))))>
15.914 * * * * [progress]: [ 45 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (sqrt (/ (cbrt 1) (sqrt 3.0)))))>
15.914 * * * * [progress]: [ 46 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (sqrt (/ (cbrt 1) 3.0))))>
15.914 * * * * [progress]: [ 47 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt 1) (cbrt 3.0)))))>
15.914 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))))>
15.914 * * * * [progress]: [ 49 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) 3.0))))>
15.914 * * * * [progress]: [ 50 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ 1 (cbrt 3.0)))))>
15.914 * * * * [progress]: [ 51 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (/ 1 (sqrt 3.0)))))>
15.914 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1))) (sqrt (/ 1 3.0))))>
15.914 * * * * [progress]: [ 53 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (sqrt (/ 1 3.0))))>
15.914 * * * * [progress]: [ 54 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (sqrt (/ 1 3.0))))>
15.915 * * * * [progress]: [ 55 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (sqrt (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 56 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (/ 1 3.0))))>
15.915 * * * * [progress]: [ 57 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 58 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 61 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))))>
15.915 * * * * [progress]: [ 62 / 72 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))>
15.916 * * * * [progress]: [ 63 / 72 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (sqrt 3.0)))>
15.916 * * * * [progress]: [ 64 / 72 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))>
15.916 * * * * [progress]: [ 65 / 72 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))>
15.916 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))>
15.916 * * * * [progress]: [ 67 / 72 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))>
15.916 * * * * [progress]: [ 68 / 72 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))>
15.916 * * * * [progress]: [ 69 / 72 ] simplifiying candidate #<alt (λ (x y z) (* (* -1 x) (sqrt (/ 1 3.0))))>
15.916 * * * * [progress]: [ 70 / 72 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
15.916 * * * * [progress]: [ 71 / 72 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
15.916 * * * * [progress]: [ 72 / 72 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
15.918 * [simplify]: Simplifying:
  (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (real->posit16 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1))
  (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
15.922 * * [simplify]: iteration 0: 120 enodes
16.073 * * [simplify]: iteration 1: 243 enodes
16.243 * * [simplify]: iteration 2: 586 enodes
16.955 * * [simplify]: iteration 3: 1650 enodes
18.410 * * [simplify]: iteration complete: 5002 enodes
18.410 * * [simplify]: Extracting #0: cost 45 inf + 0
18.411 * * [simplify]: Extracting #1: cost 324 inf + 45
18.416 * * [simplify]: Extracting #2: cost 1041 inf + 91
18.425 * * [simplify]: Extracting #3: cost 1838 inf + 1537
18.441 * * [simplify]: Extracting #4: cost 1895 inf + 22089
18.476 * * [simplify]: Extracting #5: cost 1377 inf + 120820
18.924 * * [simplify]: Extracting #6: cost 500 inf + 361268
19.088 * * [simplify]: Extracting #7: cost 82 inf + 523181
19.240 * * [simplify]: Extracting #8: cost 7 inf + 549123
19.387 * * [simplify]: Extracting #9: cost 0 inf + 551660
19.546 * [simplify]: Simplified to:
  (real->posit16 (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (log (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (exp (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))) (cbrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (cbrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (+ (+ (* z z) (* x x)) (* y y)))
  (fabs (cbrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (cbrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  1
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (sqrt (+ (* (* (* z z) z) (* (* z z) z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* (- (+ (* x x) (* y y)) (* z z)) (+ (* z z) (+ (* x x) (* y y)))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (real->posit16 (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0)))
  (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)
  (log (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (/ 1 3.0)) (/ 1 3.0)) (+ (+ (* z z) (* x x)) (* y y))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (* (cbrt (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (/ 1 3.0)) (/ 1 3.0)) (+ (+ (* z z) (* x x)) (* y y))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (/ (+ (+ (* z z) (* x x)) (* y y)) 3.0)
  (sqrt (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0))))
  (sqrt (+ (* (* (* z z) z) (* (* z z) z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (* (sqrt 3.0) (sqrt (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z))))))
  (sqrt (* (- (+ (* x x) (* y y)) (* z z)) (+ (* z z) (+ (* x x) (* y y)))))
  (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (* (cbrt (sqrt (/ 1 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y)))) (cbrt (sqrt (/ 1 3.0))))
  (* (fabs (cbrt (/ 1 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (fabs (/ 1 (cbrt 3.0))))
  (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (* (sqrt (sqrt (/ 1 3.0))) (sqrt (+ (+ (* z z) (* x x)) (* y y))))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (* (sqrt (/ 1 3.0)) (cbrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (/ 1 3.0)) (sqrt (cbrt (+ (+ (* z z) (* x x)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* z z) (* x x)) (* y y)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt (/ 1 3.0)))
  (sqrt (+ (+ (* z z) (* x x)) (* y y)))
  (* (sqrt (+ (* (* (* z z) z) (* (* z z) z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (sqrt (/ 1 3.0)))
  (* (sqrt (/ 1 3.0)) (sqrt (* (- (+ (* x x) (* y y)) (* z z)) (+ (* z z) (+ (* x x) (* y y))))))
  z
  x
  (- x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* x (- (sqrt 0.3333333333333333)))
19.557 * * * [progress]: adding candidates to table
20.378 * * [progress]: iteration 4 / 4
20.378 * * * [progress]: picking best candidate
20.451 * * * * [pick]: Picked  #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
20.451 * * * [progress]: localizing error
20.462 * * * [progress]: generating rewritten candidates
20.462 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
20.480 * * * [progress]: generating series expansions
20.480 * * * * [progress]: [ 1 / 1 ] generating series at (2)
20.481 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
20.481 * [approximate]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in (z) around 0
20.481 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
20.481 * [taylor]: Taking taylor expansion of z in z
20.481 * [backup-simplify]: Simplify 0 into 0
20.481 * [backup-simplify]: Simplify 1 into 1
20.481 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.481 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.481 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.481 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.482 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
20.482 * [taylor]: Taking taylor expansion of z in z
20.482 * [backup-simplify]: Simplify 0 into 0
20.482 * [backup-simplify]: Simplify 1 into 1
20.482 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.482 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.482 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.482 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.485 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
20.485 * [backup-simplify]: Simplify 0 into 0
20.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
20.486 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
20.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
20.488 * [backup-simplify]: Simplify 0 into 0
20.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
20.489 * [backup-simplify]: Simplify 0 into 0
20.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))) into 0
20.492 * [backup-simplify]: Simplify 0 into 0
20.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))) into 0
20.495 * [backup-simplify]: Simplify 0 into 0
20.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))))) into 0
20.498 * [backup-simplify]: Simplify 0 into 0
20.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))))) into 0
20.502 * [backup-simplify]: Simplify 0 into 0
20.503 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) z) into (* z (sqrt 0.3333333333333333))
20.503 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
20.503 * [approximate]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in (z) around 0
20.503 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
20.503 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.503 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.503 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.504 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.505 * [taylor]: Taking taylor expansion of z in z
20.505 * [backup-simplify]: Simplify 0 into 0
20.505 * [backup-simplify]: Simplify 1 into 1
20.506 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
20.506 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
20.506 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.506 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.506 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.506 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.507 * [taylor]: Taking taylor expansion of z in z
20.507 * [backup-simplify]: Simplify 0 into 0
20.507 * [backup-simplify]: Simplify 1 into 1
20.508 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
20.509 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
20.510 * [backup-simplify]: Simplify 0 into 0
20.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
20.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.512 * [backup-simplify]: Simplify 0 into 0
20.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.513 * [backup-simplify]: Simplify 0 into 0
20.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.515 * [backup-simplify]: Simplify 0 into 0
20.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.517 * [backup-simplify]: Simplify 0 into 0
20.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.518 * [backup-simplify]: Simplify 0 into 0
20.519 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (/ 1 (/ 1 z))) into (* z (sqrt 0.3333333333333333))
20.519 * [backup-simplify]: Simplify (* (/ 1 (- z)) (sqrt 0.3333333333333333)) into (* -1 (/ (sqrt 0.3333333333333333) z))
20.519 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in (z) around 0
20.519 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in z
20.519 * [taylor]: Taking taylor expansion of -1 in z
20.519 * [backup-simplify]: Simplify -1 into -1
20.519 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
20.519 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.519 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.519 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.520 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.520 * [taylor]: Taking taylor expansion of z in z
20.520 * [backup-simplify]: Simplify 0 into 0
20.520 * [backup-simplify]: Simplify 1 into 1
20.521 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
20.521 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 0.3333333333333333) z)) in z
20.521 * [taylor]: Taking taylor expansion of -1 in z
20.521 * [backup-simplify]: Simplify -1 into -1
20.521 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
20.521 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
20.521 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
20.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
20.521 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
20.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
20.522 * [taylor]: Taking taylor expansion of z in z
20.522 * [backup-simplify]: Simplify 0 into 0
20.522 * [backup-simplify]: Simplify 1 into 1
20.523 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
20.524 * [backup-simplify]: Simplify (* -1 (sqrt 0.3333333333333333)) into (* -1 (sqrt 0.3333333333333333))
20.525 * [backup-simplify]: Simplify (* -1 (sqrt 0.3333333333333333)) into (* -1 (sqrt 0.3333333333333333))
20.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
20.527 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 0.3333333333333333))) into 0
20.527 * [backup-simplify]: Simplify 0 into 0
20.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
20.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
20.530 * [backup-simplify]: Simplify 0 into 0
20.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
20.534 * [backup-simplify]: Simplify 0 into 0
20.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))) into 0
20.538 * [backup-simplify]: Simplify 0 into 0
20.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.543 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))))) into 0
20.543 * [backup-simplify]: Simplify 0 into 0
20.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
20.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))))))) into 0
20.548 * [backup-simplify]: Simplify 0 into 0
20.549 * [backup-simplify]: Simplify (* (* -1 (sqrt 0.3333333333333333)) (/ 1 (/ 1 (- z)))) into (* z (sqrt 0.3333333333333333))
20.549 * * * [progress]: simplifying candidates
20.549 * * * * [progress]: [ 1 / 26 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 2 / 26 ] simplifiying candidate #<alt (λ (x y z) (pow (* z (sqrt 0.3333333333333333)) 1))>
20.549 * * * * [progress]: [ 3 / 26 ] simplifiying candidate #<alt (λ (x y z) (pow (* z (sqrt 0.3333333333333333)) 1))>
20.549 * * * * [progress]: [ 4 / 26 ] simplifiying candidate #<alt (λ (x y z) (exp (+ (log z) (log (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 5 / 26 ] simplifiying candidate #<alt (λ (x y z) (exp (log (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 6 / 26 ] simplifiying candidate #<alt (λ (x y z) (log (exp (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 7 / 26 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* z z) z) (* (* (sqrt 0.3333333333333333) (sqrt 0.3333333333333333)) (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 8 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 9 / 26 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* z (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333))) (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 10 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* z (sqrt 0.3333333333333333))) (sqrt (* z (sqrt 0.3333333333333333)))))>
20.549 * * * * [progress]: [ 11 / 26 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* z (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 12 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))>
20.550 * * * * [progress]: [ 13 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt z) (sqrt (sqrt 0.3333333333333333))) (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))))>
20.550 * * * * [progress]: [ 14 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z (* (cbrt (sqrt 0.3333333333333333)) (cbrt (sqrt 0.3333333333333333)))) (cbrt (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 15 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z (sqrt (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)))) (sqrt (cbrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 16 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z (sqrt (sqrt 0.3333333333333333))) (sqrt (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 17 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z (sqrt 1)) (sqrt 0.3333333333333333)))>
20.550 * * * * [progress]: [ 18 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z (sqrt (sqrt 0.3333333333333333))) (sqrt (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 19 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* z 1) (sqrt 0.3333333333333333)))>
20.550 * * * * [progress]: [ 20 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 21 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt z) (* (sqrt z) (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 22 / 26 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* z (sqrt 0.3333333333333333))))>
20.550 * * * * [progress]: [ 23 / 26 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 0.3333333333333333) z))>
20.550 * * * * [progress]: [ 24 / 26 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
20.550 * * * * [progress]: [ 25 / 26 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
20.550 * * * * [progress]: [ 26 / 26 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
20.551 * [simplify]: Simplifying:
  (real->posit16 (* z (sqrt 0.3333333333333333)))
  (* z (sqrt 0.3333333333333333))
  (+ (log z) (log (sqrt 0.3333333333333333)))
  (log (* z (sqrt 0.3333333333333333)))
  (exp (* z (sqrt 0.3333333333333333)))
  (* (* (* z z) z) (* (* (sqrt 0.3333333333333333) (sqrt 0.3333333333333333)) (sqrt 0.3333333333333333)))
  (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333))))
  (cbrt (* z (sqrt 0.3333333333333333)))
  (* (* (* z (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333))) (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (sqrt (* z (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* z (* (cbrt (sqrt 0.3333333333333333)) (cbrt (sqrt 0.3333333333333333))))
  (* z (sqrt (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333))))
  (* z (sqrt (sqrt 0.3333333333333333)))
  (* z (sqrt 1))
  (* z (sqrt (sqrt 0.3333333333333333)))
  (* z 1)
  (* (cbrt z) (sqrt 0.3333333333333333))
  (* (sqrt z) (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
  (* z (sqrt 0.3333333333333333))
20.552 * * [simplify]: iteration 0: 38 enodes
20.580 * * [simplify]: iteration 1: 74 enodes
20.651 * * [simplify]: iteration 2: 158 enodes
20.786 * * [simplify]: iteration 3: 365 enodes
21.302 * * [simplify]: iteration 4: 1018 enodes
23.478 * * [simplify]: iteration 5: 3293 enodes
28.598 * * [simplify]: iteration complete: 5001 enodes
28.598 * * [simplify]: Extracting #0: cost 15 inf + 0
28.599 * * [simplify]: Extracting #1: cost 176 inf + 1
28.603 * * [simplify]: Extracting #2: cost 805 inf + 4582
28.620 * * [simplify]: Extracting #3: cost 771 inf + 51672
28.656 * * [simplify]: Extracting #4: cost 218 inf + 171759
28.693 * * [simplify]: Extracting #5: cost 38 inf + 231146
28.730 * * [simplify]: Extracting #6: cost 11 inf + 243995
28.773 * * [simplify]: Extracting #7: cost 2 inf + 246015
28.821 * * [simplify]: Extracting #8: cost 0 inf + 246659
28.854 * [simplify]: Simplified to:
  (real->posit16 (* (sqrt 0.3333333333333333) z))
  (* (sqrt 0.3333333333333333) z)
  (log (* (sqrt 0.3333333333333333) z))
  (log (* (sqrt 0.3333333333333333) z))
  (exp (* (sqrt 0.3333333333333333) z))
  (* (* (* (sqrt 0.3333333333333333) z) (* (sqrt 0.3333333333333333) z)) (* (sqrt 0.3333333333333333) z))
  (* (cbrt (* (sqrt 0.3333333333333333) z)) (cbrt (* (sqrt 0.3333333333333333) z)))
  (cbrt (* (sqrt 0.3333333333333333) z))
  (* (* (* (sqrt 0.3333333333333333) z) (* (sqrt 0.3333333333333333) z)) (* (sqrt 0.3333333333333333) z))
  (sqrt (* (sqrt 0.3333333333333333) z))
  (sqrt (* (sqrt 0.3333333333333333) z))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (sqrt z) (sqrt (sqrt 0.3333333333333333)))
  (* (* (cbrt (sqrt 0.3333333333333333)) z) (cbrt (sqrt 0.3333333333333333)))
  (* z (fabs (cbrt 0.3333333333333333)))
  (* z (sqrt (sqrt 0.3333333333333333)))
  z
  (* z (sqrt (sqrt 0.3333333333333333)))
  z
  (* (sqrt 0.3333333333333333) (cbrt z))
  (* (sqrt 0.3333333333333333) (sqrt z))
  (* (sqrt 0.3333333333333333) z)
  (* (sqrt 0.3333333333333333) z)
  (* (sqrt 0.3333333333333333) z)
  (* (sqrt 0.3333333333333333) z)
28.855 * * * [progress]: adding candidates to table
29.056 * [progress]: [Phase 3 of 3] Extracting.
29.056 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
29.061 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) z y x)
29.061 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
29.343 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>)
29.532 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
29.792 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
30.101 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
30.356 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
30.656 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
30.866 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
31.126 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>)
31.216 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
31.483 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
31.763 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
32.190 * * * [regime]: Found split indices: #<option (#s(si 2 38) #s(si 1 158) #s(si 3 165) #s(si 1 211) #s(si 0 255))>
32.191 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
32.471 * [regimes]: Found splitpoints: (#s(sp 2 x -2.061657435745164e+101) #s(sp 1 x 2.0302680281655676e-131) #s(sp 3 x 9.401516089224205e-110) #s(sp 1 x 1.5076748323158748e+110) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))> #<alt (λ (x y z) (* x (- (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (/ z (sqrt 3.0)))> #<alt (λ (x y z) (/ (- x) (sqrt 3.0)))> #<alt (λ (x y z) (/ x (sqrt 3.0)))> #<alt (λ (x y z) (posit16->real (real->posit16 (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* (* (cbrt (* z (sqrt 0.3333333333333333))) (cbrt (* z (sqrt 0.3333333333333333)))) (cbrt (* z (sqrt 0.3333333333333333)))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (exp (log (* (sqrt 0.3333333333333333) z))))>)
32.471 * [simplify]: Simplifying:
  (if (<= x -2.061657435745164e+101) (* x (- (sqrt 0.3333333333333333))) (if (<= x 2.0302680281655676e-131) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (if (<= x 9.401516089224205e-110) (/ z (sqrt 3.0)) (if (<= x 1.5076748323158748e+110) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* x (sqrt 0.3333333333333333))))))
32.472 * * [simplify]: iteration 0: 30 enodes
32.476 * * [simplify]: iteration 1: 35 enodes
32.483 * * [simplify]: iteration 2: 38 enodes
32.492 * * [simplify]: iteration complete: 38 enodes
32.492 * * [simplify]: Extracting #0: cost 1 inf + 0
32.492 * * [simplify]: Extracting #1: cost 4 inf + 0
32.492 * * [simplify]: Extracting #2: cost 13 inf + 0
32.492 * * [simplify]: Extracting #3: cost 18 inf + 2
32.492 * * [simplify]: Extracting #4: cost 19 inf + 112
32.492 * * [simplify]: Extracting #5: cost 15 inf + 386
32.493 * * [simplify]: Extracting #6: cost 10 inf + 807
32.493 * * [simplify]: Extracting #7: cost 10 inf + 848
32.493 * * [simplify]: Extracting #8: cost 7 inf + 1012
32.494 * * [simplify]: Extracting #9: cost 5 inf + 1458
32.494 * * [simplify]: Extracting #10: cost 3 inf + 2318
32.495 * * [simplify]: Extracting #11: cost 1 inf + 3863
32.496 * * [simplify]: Extracting #12: cost 0 inf + 4912
32.497 * [simplify]: Simplified to:
  (if (<= x -2.061657435745164e+101) (* (- x) (sqrt 0.3333333333333333)) (if (<= x 2.0302680281655676e-131) (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3.0)) (if (<= x 9.401516089224205e-110) (/ z (sqrt 3.0)) (if (<= x 1.5076748323158748e+110) (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3.0)) (* (sqrt 0.3333333333333333) x)))))
38.401 * [regime-testing]: Baseline error score: 38.19736665710237
38.437 * [regime-testing]: Oracle error score: 18.262904001418846
38.493 * [regime-testing]: End program error score: 26.178177329611923
38.852 * [regime-testing]: Target error score: 25.968023573736016