58.113 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.035 * * * [progress]: [2/2] Setting up program.
0.042 * [progress]: [Phase 2 of 3] Improving.
0.042 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.043 * * [simplify]: iteration 0: 9 enodes
0.046 * * [simplify]: iteration 1: 13 enodes
0.059 * * [simplify]: iteration 2: 19 enodes
0.067 * * [simplify]: iteration 3: 21 enodes
0.075 * * [simplify]: iteration complete: 21 enodes
0.075 * * [simplify]: Extracting #0: cost 1 inf + 0
0.075 * * [simplify]: Extracting #1: cost 2 inf + 0
0.075 * * [simplify]: Extracting #2: cost 8 inf + 0
0.076 * * [simplify]: Extracting #3: cost 11 inf + 0
0.076 * * [simplify]: Extracting #4: cost 6 inf + 85
0.076 * * [simplify]: Extracting #5: cost 0 inf + 938
0.076 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
0.077 * * [progress]: iteration 1 / 4
0.077 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.085 * * * [progress]: localizing error
0.173 * * * [progress]: generating rewritten candidates
0.173 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.234 * * * [progress]: generating series expansions
0.234 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.235 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.235 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.235 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.235 * [taylor]: Taking taylor expansion of x in z
0.235 * [backup-simplify]: Simplify x into x
0.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.235 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.235 * [taylor]: Taking taylor expansion of y in z
0.235 * [backup-simplify]: Simplify y into y
0.235 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.235 * [taylor]: Taking taylor expansion of z in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.235 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.235 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.236 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.236 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.236 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.236 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.238 * [taylor]: Taking taylor expansion of x in y
0.238 * [backup-simplify]: Simplify x into x
0.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.238 * [taylor]: Taking taylor expansion of y in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.238 * [taylor]: Taking taylor expansion of z in y
0.238 * [backup-simplify]: Simplify z into z
0.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.238 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.238 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.238 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.239 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.239 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.239 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.240 * [taylor]: Taking taylor expansion of y in x
0.240 * [backup-simplify]: Simplify y into y
0.240 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.240 * [taylor]: Taking taylor expansion of z in x
0.240 * [backup-simplify]: Simplify z into z
0.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.241 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.241 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.241 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.241 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.242 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.243 * [taylor]: Taking taylor expansion of y in x
0.243 * [backup-simplify]: Simplify y into y
0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.243 * [taylor]: Taking taylor expansion of z in x
0.243 * [backup-simplify]: Simplify z into z
0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.243 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.244 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.244 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.244 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.246 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.246 * [taylor]: Taking taylor expansion of y in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.246 * [taylor]: Taking taylor expansion of z in y
0.246 * [backup-simplify]: Simplify z into z
0.246 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.246 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.246 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.246 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.247 * [taylor]: Taking taylor expansion of z in z
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [taylor]: Taking taylor expansion of 0 in y
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [taylor]: Taking taylor expansion of 0 in z
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [taylor]: Taking taylor expansion of 0 in z
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.249 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (+ 1 0) into 1
0.251 * [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)))))
0.251 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.251 * [taylor]: Taking taylor expansion of 1/2 in y
0.251 * [backup-simplify]: Simplify 1/2 into 1/2
0.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.251 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.251 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.251 * [taylor]: Taking taylor expansion of z in y
0.251 * [backup-simplify]: Simplify z into z
0.251 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.252 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.252 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.253 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.253 * [taylor]: Taking taylor expansion of 1/2 in z
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of z in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.256 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.256 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.257 * [taylor]: Taking taylor expansion of 1/2 in z
0.257 * [backup-simplify]: Simplify 1/2 into 1/2
0.257 * [taylor]: Taking taylor expansion of z in z
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.259 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.259 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.259 * [taylor]: Taking taylor expansion of x in z
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.260 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.260 * [taylor]: Taking taylor expansion of z in z
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.261 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.261 * [taylor]: Taking taylor expansion of y in z
0.261 * [backup-simplify]: Simplify y into y
0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.262 * [backup-simplify]: Simplify (+ 1 0) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.266 * [taylor]: Taking taylor expansion of x in y
0.266 * [backup-simplify]: Simplify x into x
0.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.267 * [taylor]: Taking taylor expansion of z in y
0.267 * [backup-simplify]: Simplify z into z
0.267 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.267 * [taylor]: Taking taylor expansion of y in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.273 * [taylor]: Taking taylor expansion of z in x
0.273 * [backup-simplify]: Simplify z into z
0.273 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.274 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.274 * [backup-simplify]: Simplify y into y
0.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.275 * [backup-simplify]: Simplify (sqrt 1) into 1
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.277 * [taylor]: Taking taylor expansion of x in x
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.278 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.278 * [taylor]: Taking taylor expansion of z in x
0.278 * [backup-simplify]: Simplify z into z
0.279 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.282 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [taylor]: Taking taylor expansion of 1 in z
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.285 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.287 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.287 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.287 * [taylor]: Taking taylor expansion of 1/2 in y
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.287 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.287 * [taylor]: Taking taylor expansion of z in y
0.287 * [backup-simplify]: Simplify z into z
0.287 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.287 * [taylor]: Taking taylor expansion of y in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (+ 0 1) into 1
0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.306 * [taylor]: Taking taylor expansion of 0 in y
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.311 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.311 * [taylor]: Taking taylor expansion of 1/2 in z
0.311 * [backup-simplify]: Simplify 1/2 into 1/2
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.311 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.311 * [taylor]: Taking taylor expansion of z in z
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [taylor]: Taking taylor expansion of 0 in z
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [taylor]: Taking taylor expansion of 0 in z
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.321 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.324 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.324 * [taylor]: Taking taylor expansion of -1/2 in y
0.325 * [backup-simplify]: Simplify -1/2 into -1/2
0.325 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.325 * [taylor]: Taking taylor expansion of 1/4 in y
0.325 * [backup-simplify]: Simplify 1/4 into 1/4
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.325 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.325 * [taylor]: Taking taylor expansion of z in y
0.325 * [backup-simplify]: Simplify z into z
0.325 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.325 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.325 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.325 * [taylor]: Taking taylor expansion of 1/2 in y
0.325 * [backup-simplify]: Simplify 1/2 into 1/2
0.326 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.326 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.326 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.326 * [taylor]: Taking taylor expansion of z in y
0.326 * [backup-simplify]: Simplify z into z
0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.326 * [taylor]: Taking taylor expansion of y in y
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.327 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.327 * [taylor]: Taking taylor expansion of 1/4 in y
0.327 * [backup-simplify]: Simplify 1/4 into 1/4
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.327 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.330 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.343 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.343 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.346 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.346 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.347 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in z
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [taylor]: Taking taylor expansion of 0 in z
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.351 * [taylor]: Taking taylor expansion of 0 in z
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [taylor]: Taking taylor expansion of 0 in z
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [taylor]: Taking taylor expansion of 0 in z
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.355 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.355 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.355 * [taylor]: Taking taylor expansion of x in z
0.355 * [backup-simplify]: Simplify x into x
0.355 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.355 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.355 * [taylor]: Taking taylor expansion of z in z
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.356 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.356 * [taylor]: Taking taylor expansion of y in z
0.357 * [backup-simplify]: Simplify y into y
0.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.358 * [backup-simplify]: Simplify (+ 0 1) into 1
0.358 * [backup-simplify]: Simplify (sqrt 1) into 1
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.361 * [taylor]: Taking taylor expansion of x in y
0.361 * [backup-simplify]: Simplify x into x
0.361 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.362 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.362 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.362 * [taylor]: Taking taylor expansion of z in y
0.362 * [backup-simplify]: Simplify z into z
0.362 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.362 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.362 * [taylor]: Taking taylor expansion of y in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.364 * [backup-simplify]: Simplify (+ 0 1) into 1
0.364 * [backup-simplify]: Simplify (+ 0 1) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.368 * [taylor]: Taking taylor expansion of x in x
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.369 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.369 * [taylor]: Taking taylor expansion of z in x
0.369 * [backup-simplify]: Simplify z into z
0.369 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.369 * [taylor]: Taking taylor expansion of y in x
0.369 * [backup-simplify]: Simplify y into y
0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.370 * [backup-simplify]: Simplify (+ 1 0) into 1
0.371 * [backup-simplify]: Simplify (sqrt 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.373 * [taylor]: Taking taylor expansion of x in x
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.374 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.374 * [taylor]: Taking taylor expansion of z in x
0.374 * [backup-simplify]: Simplify z into z
0.374 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.374 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.375 * [taylor]: Taking taylor expansion of y in x
0.375 * [backup-simplify]: Simplify y into y
0.375 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.375 * [backup-simplify]: Simplify (+ 1 0) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.378 * [taylor]: Taking taylor expansion of 1 in y
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [taylor]: Taking taylor expansion of 0 in y
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [taylor]: Taking taylor expansion of 1 in z
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.381 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.383 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.383 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.383 * [taylor]: Taking taylor expansion of 1/2 in y
0.383 * [backup-simplify]: Simplify 1/2 into 1/2
0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.383 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.383 * [taylor]: Taking taylor expansion of z in y
0.383 * [backup-simplify]: Simplify z into z
0.383 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.383 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.383 * [taylor]: Taking taylor expansion of y in y
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (+ 0 1) into 1
0.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.387 * [taylor]: Taking taylor expansion of 0 in z
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [taylor]: Taking taylor expansion of 0 in z
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [taylor]: Taking taylor expansion of 0 in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.392 * [taylor]: Taking taylor expansion of 0 in y
0.392 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.395 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.395 * [taylor]: Taking taylor expansion of 1/2 in z
0.395 * [backup-simplify]: Simplify 1/2 into 1/2
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.395 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.395 * [taylor]: Taking taylor expansion of z in z
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [taylor]: Taking taylor expansion of 0 in z
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [taylor]: Taking taylor expansion of 0 in z
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.402 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.403 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.405 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.405 * [taylor]: Taking taylor expansion of -1/2 in y
0.405 * [backup-simplify]: Simplify -1/2 into -1/2
0.406 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.406 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.406 * [taylor]: Taking taylor expansion of 1/4 in y
0.406 * [backup-simplify]: Simplify 1/4 into 1/4
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.406 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.406 * [taylor]: Taking taylor expansion of z in y
0.406 * [backup-simplify]: Simplify z into z
0.406 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.406 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.406 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.406 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.406 * [taylor]: Taking taylor expansion of 1/2 in y
0.406 * [backup-simplify]: Simplify 1/2 into 1/2
0.406 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.406 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.406 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.406 * [taylor]: Taking taylor expansion of z in y
0.407 * [backup-simplify]: Simplify z into z
0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.407 * [taylor]: Taking taylor expansion of y in y
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.407 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.407 * [taylor]: Taking taylor expansion of 1/4 in y
0.407 * [backup-simplify]: Simplify 1/4 into 1/4
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.408 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.408 * [taylor]: Taking taylor expansion of y in y
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.410 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.422 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.425 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.425 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.427 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.427 * [taylor]: Taking taylor expansion of 0 in z
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [taylor]: Taking taylor expansion of 0 in z
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.431 * [taylor]: Taking taylor expansion of 0 in z
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [taylor]: Taking taylor expansion of 0 in z
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [taylor]: Taking taylor expansion of 0 in z
0.431 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.435 * * * [progress]: simplifying candidates
0.436 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  z
  x
  (* -1 x)
0.437 * * [simplify]: iteration 0: 41 enodes
0.454 * * [simplify]: iteration 1: 92 enodes
0.523 * * [simplify]: iteration 2: 265 enodes
1.002 * * [simplify]: iteration 3: 939 enodes
3.493 * * [simplify]: iteration 4: 3292 enodes
9.434 * * [simplify]: iteration complete: 5000 enodes
9.435 * * [simplify]: Extracting #0: cost 18 inf + 0
9.435 * * [simplify]: Extracting #1: cost 28 inf + 45
9.436 * * [simplify]: Extracting #2: cost 211 inf + 47
9.442 * * [simplify]: Extracting #3: cost 897 inf + 3917
9.480 * * [simplify]: Extracting #4: cost 861 inf + 87141
9.657 * * [simplify]: Extracting #5: cost 192 inf + 262457
9.901 * * [simplify]: Extracting #6: cost 54 inf + 307399
10.178 * * [simplify]: Extracting #7: cost 35 inf + 316236
10.410 * * [simplify]: Extracting #8: cost 8 inf + 322000
10.685 * * [simplify]: Extracting #9: cost 0 inf + 324992
10.882 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (exp (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (+ (* y y) (+ (* z z) (* x x))) (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (fabs (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))
  (sqrt (- (+ (* y y) (* x x)) (* z z)))
  1/2
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  z
  x
  (- x)
10.893 * * * [progress]: adding candidates to table
11.241 * * [progress]: iteration 2 / 4
11.242 * * * [progress]: picking best candidate
11.268 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
11.273 * * * [progress]: localizing error
11.315 * * * [progress]: generating rewritten candidates
11.315 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1)
11.718 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
11.793 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
12.442 * * * [progress]: generating series expansions
12.442 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1)
12.442 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
12.442 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
12.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.448 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.448 * [taylor]: Taking taylor expansion of x in z
12.448 * [backup-simplify]: Simplify x into x
12.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.448 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.449 * [taylor]: Taking taylor expansion of y in z
12.449 * [backup-simplify]: Simplify y into y
12.449 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.449 * [taylor]: Taking taylor expansion of z in z
12.449 * [backup-simplify]: Simplify 0 into 0
12.449 * [backup-simplify]: Simplify 1 into 1
12.449 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.449 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.449 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.449 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.450 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.450 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.465 * [backup-simplify]: Simplify (+ 0 0) into 0
12.466 * [backup-simplify]: Simplify (+ 0 0) into 0
12.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.466 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.466 * [taylor]: Taking taylor expansion of x in y
12.466 * [backup-simplify]: Simplify x into x
12.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.466 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.466 * [taylor]: Taking taylor expansion of y in y
12.466 * [backup-simplify]: Simplify 0 into 0
12.466 * [backup-simplify]: Simplify 1 into 1
12.467 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.467 * [taylor]: Taking taylor expansion of z in y
12.467 * [backup-simplify]: Simplify z into z
12.467 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.467 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.467 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.467 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.467 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.467 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.467 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
12.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.469 * [taylor]: Taking taylor expansion of x in x
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 1 into 1
12.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.469 * [taylor]: Taking taylor expansion of y in x
12.469 * [backup-simplify]: Simplify y into y
12.469 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.469 * [taylor]: Taking taylor expansion of z in x
12.469 * [backup-simplify]: Simplify z into z
12.470 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.470 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.470 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.470 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.470 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.471 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.471 * [backup-simplify]: Simplify (+ 0 0) into 0
12.473 * [backup-simplify]: Simplify (+ 0 0) into 0
12.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.474 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.474 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.474 * [taylor]: Taking taylor expansion of x in x
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify 1 into 1
12.474 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.474 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.474 * [taylor]: Taking taylor expansion of y in x
12.474 * [backup-simplify]: Simplify y into y
12.474 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.474 * [taylor]: Taking taylor expansion of z in x
12.474 * [backup-simplify]: Simplify z into z
12.474 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.474 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.475 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.475 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.475 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.475 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.475 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.476 * [backup-simplify]: Simplify (+ 0 0) into 0
12.476 * [backup-simplify]: Simplify (+ 0 0) into 0
12.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
12.479 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.479 * [taylor]: Taking taylor expansion of y in y
12.479 * [backup-simplify]: Simplify 0 into 0
12.479 * [backup-simplify]: Simplify 1 into 1
12.479 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.479 * [taylor]: Taking taylor expansion of z in y
12.479 * [backup-simplify]: Simplify z into z
12.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.480 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.480 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
12.480 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.481 * [backup-simplify]: Simplify (+ 0 0) into 0
12.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
12.481 * [taylor]: Taking taylor expansion of z in z
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 1 into 1
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [taylor]: Taking taylor expansion of 0 in y
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [taylor]: Taking taylor expansion of 0 in z
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [taylor]: Taking taylor expansion of 0 in z
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 1 into 1
12.482 * [backup-simplify]: Simplify (* 1 1) into 1
12.482 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.483 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.483 * [backup-simplify]: Simplify (+ 0 0) into 0
12.483 * [backup-simplify]: Simplify (+ 1 0) into 1
12.485 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
12.485 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
12.485 * [taylor]: Taking taylor expansion of 1/2 in y
12.485 * [backup-simplify]: Simplify 1/2 into 1/2
12.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
12.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
12.485 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.485 * [taylor]: Taking taylor expansion of y in y
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 1 into 1
12.485 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.485 * [taylor]: Taking taylor expansion of z in y
12.485 * [backup-simplify]: Simplify z into z
12.485 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.485 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.489 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.490 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
12.490 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.490 * [backup-simplify]: Simplify (+ 0 0) into 0
12.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
12.491 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
12.491 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
12.491 * [taylor]: Taking taylor expansion of 1/2 in z
12.491 * [backup-simplify]: Simplify 1/2 into 1/2
12.491 * [taylor]: Taking taylor expansion of z in z
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [taylor]: Taking taylor expansion of 0 in z
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify (* 1 1) into 1
12.495 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.495 * [backup-simplify]: Simplify (+ 1 0) into 1
12.496 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
12.496 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
12.496 * [taylor]: Taking taylor expansion of 1/2 in z
12.496 * [backup-simplify]: Simplify 1/2 into 1/2
12.496 * [taylor]: Taking taylor expansion of z in z
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.497 * [backup-simplify]: Simplify 0 into 0
12.497 * [backup-simplify]: Simplify 0 into 0
12.497 * [backup-simplify]: Simplify 0 into 0
12.498 * [backup-simplify]: Simplify 0 into 0
12.498 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
12.499 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.499 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
12.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.499 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.499 * [taylor]: Taking taylor expansion of x in z
12.499 * [backup-simplify]: Simplify x into x
12.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.499 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.499 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.499 * [taylor]: Taking taylor expansion of z in z
12.499 * [backup-simplify]: Simplify 0 into 0
12.499 * [backup-simplify]: Simplify 1 into 1
12.500 * [backup-simplify]: Simplify (* 1 1) into 1
12.500 * [backup-simplify]: Simplify (/ 1 1) into 1
12.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.500 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.500 * [taylor]: Taking taylor expansion of y in z
12.500 * [backup-simplify]: Simplify y into y
12.500 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.501 * [backup-simplify]: Simplify (+ 1 0) into 1
12.501 * [backup-simplify]: Simplify (+ 0 1) into 1
12.502 * [backup-simplify]: Simplify (sqrt 1) into 1
12.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.504 * [backup-simplify]: Simplify (+ 0 0) into 0
12.504 * [backup-simplify]: Simplify (+ 0 0) into 0
12.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.527 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.527 * [taylor]: Taking taylor expansion of x in y
12.527 * [backup-simplify]: Simplify x into x
12.527 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.527 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.527 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.527 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.527 * [taylor]: Taking taylor expansion of z in y
12.527 * [backup-simplify]: Simplify z into z
12.527 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.527 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.527 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.528 * [taylor]: Taking taylor expansion of y in y
12.528 * [backup-simplify]: Simplify 0 into 0
12.528 * [backup-simplify]: Simplify 1 into 1
12.528 * [backup-simplify]: Simplify (* 1 1) into 1
12.528 * [backup-simplify]: Simplify (/ 1 1) into 1
12.529 * [backup-simplify]: Simplify (+ 0 1) into 1
12.529 * [backup-simplify]: Simplify (+ 0 1) into 1
12.530 * [backup-simplify]: Simplify (sqrt 1) into 1
12.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.531 * [backup-simplify]: Simplify (+ 0 0) into 0
12.532 * [backup-simplify]: Simplify (+ 0 0) into 0
12.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.533 * [taylor]: Taking taylor expansion of x in x
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (* 1 1) into 1
12.534 * [backup-simplify]: Simplify (/ 1 1) into 1
12.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.534 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.534 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.534 * [taylor]: Taking taylor expansion of z in x
12.534 * [backup-simplify]: Simplify z into z
12.534 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.535 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.535 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.535 * [taylor]: Taking taylor expansion of y in x
12.535 * [backup-simplify]: Simplify y into y
12.535 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.535 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.536 * [backup-simplify]: Simplify (+ 1 0) into 1
12.536 * [backup-simplify]: Simplify (sqrt 1) into 1
12.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.538 * [backup-simplify]: Simplify (+ 0 0) into 0
12.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.538 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.538 * [taylor]: Taking taylor expansion of x in x
12.539 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify 1 into 1
12.539 * [backup-simplify]: Simplify (* 1 1) into 1
12.539 * [backup-simplify]: Simplify (/ 1 1) into 1
12.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.539 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.539 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.539 * [taylor]: Taking taylor expansion of z in x
12.539 * [backup-simplify]: Simplify z into z
12.540 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.540 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.540 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.540 * [taylor]: Taking taylor expansion of y in x
12.540 * [backup-simplify]: Simplify y into y
12.540 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.540 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.540 * [backup-simplify]: Simplify (+ 1 0) into 1
12.541 * [backup-simplify]: Simplify (sqrt 1) into 1
12.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.542 * [backup-simplify]: Simplify (+ 0 0) into 0
12.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.543 * [taylor]: Taking taylor expansion of 1 in y
12.543 * [backup-simplify]: Simplify 1 into 1
12.543 * [taylor]: Taking taylor expansion of 0 in y
12.543 * [backup-simplify]: Simplify 0 into 0
12.543 * [taylor]: Taking taylor expansion of 1 in z
12.543 * [backup-simplify]: Simplify 1 into 1
12.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.546 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
12.547 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
12.559 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
12.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.559 * [taylor]: Taking taylor expansion of 1/2 in y
12.559 * [backup-simplify]: Simplify 1/2 into 1/2
12.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.559 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.559 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.559 * [taylor]: Taking taylor expansion of z in y
12.559 * [backup-simplify]: Simplify z into z
12.559 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.559 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.559 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.559 * [taylor]: Taking taylor expansion of y in y
12.559 * [backup-simplify]: Simplify 0 into 0
12.560 * [backup-simplify]: Simplify 1 into 1
12.560 * [backup-simplify]: Simplify (* 1 1) into 1
12.560 * [backup-simplify]: Simplify (/ 1 1) into 1
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.562 * [backup-simplify]: Simplify (+ 0 0) into 0
12.563 * [backup-simplify]: Simplify (+ 0 1) into 1
12.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.563 * [taylor]: Taking taylor expansion of 0 in z
12.563 * [backup-simplify]: Simplify 0 into 0
12.563 * [taylor]: Taking taylor expansion of 0 in z
12.563 * [backup-simplify]: Simplify 0 into 0
12.564 * [taylor]: Taking taylor expansion of 0 in z
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [backup-simplify]: Simplify 1 into 1
12.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.567 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.567 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.568 * [backup-simplify]: Simplify (+ 0 0) into 0
12.568 * [backup-simplify]: Simplify (+ 0 0) into 0
12.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.568 * [taylor]: Taking taylor expansion of 0 in y
12.568 * [backup-simplify]: Simplify 0 into 0
12.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.570 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
12.570 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.571 * [taylor]: Taking taylor expansion of 1/2 in z
12.571 * [backup-simplify]: Simplify 1/2 into 1/2
12.571 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.571 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.571 * [taylor]: Taking taylor expansion of z in z
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [backup-simplify]: Simplify 1 into 1
12.571 * [backup-simplify]: Simplify (* 1 1) into 1
12.571 * [backup-simplify]: Simplify (/ 1 1) into 1
12.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [taylor]: Taking taylor expansion of 0 in z
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [taylor]: Taking taylor expansion of 0 in z
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [backup-simplify]: Simplify 0 into 0
12.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.580 * [backup-simplify]: Simplify (+ 0 0) into 0
12.580 * [backup-simplify]: Simplify (+ 0 0) into 0
12.582 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
12.582 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.582 * [taylor]: Taking taylor expansion of -1/2 in y
12.582 * [backup-simplify]: Simplify -1/2 into -1/2
12.582 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
12.582 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.582 * [taylor]: Taking taylor expansion of 1/4 in y
12.582 * [backup-simplify]: Simplify 1/4 into 1/4
12.582 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.582 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.582 * [taylor]: Taking taylor expansion of z in y
12.582 * [backup-simplify]: Simplify z into z
12.582 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.583 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.583 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.583 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
12.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.583 * [taylor]: Taking taylor expansion of 1/2 in y
12.583 * [backup-simplify]: Simplify 1/2 into 1/2
12.583 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.583 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.583 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.583 * [taylor]: Taking taylor expansion of z in y
12.583 * [backup-simplify]: Simplify z into z
12.583 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.583 * [taylor]: Taking taylor expansion of y in y
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 1 into 1
12.583 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.584 * [backup-simplify]: Simplify (* 1 1) into 1
12.584 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.584 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.585 * [taylor]: Taking taylor expansion of 1/4 in y
12.585 * [backup-simplify]: Simplify 1/4 into 1/4
12.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.585 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.585 * [taylor]: Taking taylor expansion of y in y
12.585 * [backup-simplify]: Simplify 0 into 0
12.585 * [backup-simplify]: Simplify 1 into 1
12.585 * [backup-simplify]: Simplify (* 1 1) into 1
12.586 * [backup-simplify]: Simplify (* 1 1) into 1
12.586 * [backup-simplify]: Simplify (/ 1 1) into 1
12.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.587 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.588 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.609 * [backup-simplify]: Simplify (+ 0 0) into 0
12.610 * [backup-simplify]: Simplify (+ 0 0) into 0
12.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.611 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.611 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
12.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.613 * [backup-simplify]: Simplify (+ 0 0) into 0
12.613 * [backup-simplify]: Simplify (+ 0 0) into 0
12.613 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.614 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.614 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.616 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.616 * [taylor]: Taking taylor expansion of 0 in z
12.616 * [backup-simplify]: Simplify 0 into 0
12.616 * [taylor]: Taking taylor expansion of 0 in z
12.616 * [backup-simplify]: Simplify 0 into 0
12.616 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.621 * [backup-simplify]: Simplify (+ 0 0) into 0
12.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.626 * [taylor]: Taking taylor expansion of 0 in z
12.626 * [backup-simplify]: Simplify 0 into 0
12.626 * [taylor]: Taking taylor expansion of 0 in z
12.626 * [backup-simplify]: Simplify 0 into 0
12.626 * [taylor]: Taking taylor expansion of 0 in z
12.626 * [backup-simplify]: Simplify 0 into 0
12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.629 * [backup-simplify]: Simplify 0 into 0
12.629 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
12.630 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
12.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.630 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.630 * [taylor]: Taking taylor expansion of x in z
12.630 * [backup-simplify]: Simplify x into x
12.630 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.631 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.631 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.631 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.631 * [taylor]: Taking taylor expansion of z in z
12.631 * [backup-simplify]: Simplify 0 into 0
12.631 * [backup-simplify]: Simplify 1 into 1
12.631 * [backup-simplify]: Simplify (* 1 1) into 1
12.632 * [backup-simplify]: Simplify (/ 1 1) into 1
12.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.632 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.632 * [taylor]: Taking taylor expansion of y in z
12.632 * [backup-simplify]: Simplify y into y
12.632 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.633 * [backup-simplify]: Simplify (+ 1 0) into 1
12.633 * [backup-simplify]: Simplify (+ 0 1) into 1
12.633 * [backup-simplify]: Simplify (sqrt 1) into 1
12.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.635 * [backup-simplify]: Simplify (+ 0 0) into 0
12.636 * [backup-simplify]: Simplify (+ 0 0) into 0
12.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.636 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.636 * [taylor]: Taking taylor expansion of x in y
12.637 * [backup-simplify]: Simplify x into x
12.637 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.637 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.637 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.637 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.637 * [taylor]: Taking taylor expansion of z in y
12.637 * [backup-simplify]: Simplify z into z
12.637 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.637 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.637 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.637 * [taylor]: Taking taylor expansion of y in y
12.637 * [backup-simplify]: Simplify 0 into 0
12.637 * [backup-simplify]: Simplify 1 into 1
12.638 * [backup-simplify]: Simplify (* 1 1) into 1
12.638 * [backup-simplify]: Simplify (/ 1 1) into 1
12.639 * [backup-simplify]: Simplify (+ 0 1) into 1
12.639 * [backup-simplify]: Simplify (+ 0 1) into 1
12.640 * [backup-simplify]: Simplify (sqrt 1) into 1
12.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.641 * [backup-simplify]: Simplify (+ 0 0) into 0
12.642 * [backup-simplify]: Simplify (+ 0 0) into 0
12.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.643 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.643 * [taylor]: Taking taylor expansion of x in x
12.643 * [backup-simplify]: Simplify 0 into 0
12.643 * [backup-simplify]: Simplify 1 into 1
12.643 * [backup-simplify]: Simplify (* 1 1) into 1
12.644 * [backup-simplify]: Simplify (/ 1 1) into 1
12.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.644 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.644 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.644 * [taylor]: Taking taylor expansion of z in x
12.644 * [backup-simplify]: Simplify z into z
12.644 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.644 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.644 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.644 * [taylor]: Taking taylor expansion of y in x
12.644 * [backup-simplify]: Simplify y into y
12.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.645 * [backup-simplify]: Simplify (+ 1 0) into 1
12.645 * [backup-simplify]: Simplify (sqrt 1) into 1
12.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.646 * [backup-simplify]: Simplify (+ 0 0) into 0
12.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.658 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.658 * [taylor]: Taking taylor expansion of x in x
12.658 * [backup-simplify]: Simplify 0 into 0
12.658 * [backup-simplify]: Simplify 1 into 1
12.659 * [backup-simplify]: Simplify (* 1 1) into 1
12.659 * [backup-simplify]: Simplify (/ 1 1) into 1
12.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.659 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.659 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.659 * [taylor]: Taking taylor expansion of z in x
12.659 * [backup-simplify]: Simplify z into z
12.659 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.660 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.660 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.660 * [taylor]: Taking taylor expansion of y in x
12.660 * [backup-simplify]: Simplify y into y
12.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.660 * [backup-simplify]: Simplify (+ 1 0) into 1
12.661 * [backup-simplify]: Simplify (sqrt 1) into 1
12.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.894 * [backup-simplify]: Simplify (+ 0 0) into 0
12.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.897 * [taylor]: Taking taylor expansion of 1 in y
12.898 * [backup-simplify]: Simplify 1 into 1
12.898 * [taylor]: Taking taylor expansion of 0 in y
12.898 * [backup-simplify]: Simplify 0 into 0
12.898 * [taylor]: Taking taylor expansion of 1 in z
12.898 * [backup-simplify]: Simplify 1 into 1
12.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.901 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
12.901 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
12.903 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
12.903 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.903 * [taylor]: Taking taylor expansion of 1/2 in y
12.903 * [backup-simplify]: Simplify 1/2 into 1/2
12.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.903 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.903 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.903 * [taylor]: Taking taylor expansion of z in y
12.903 * [backup-simplify]: Simplify z into z
12.903 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.904 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.904 * [taylor]: Taking taylor expansion of y in y
12.904 * [backup-simplify]: Simplify 0 into 0
12.904 * [backup-simplify]: Simplify 1 into 1
12.904 * [backup-simplify]: Simplify (* 1 1) into 1
12.905 * [backup-simplify]: Simplify (/ 1 1) into 1
12.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.908 * [backup-simplify]: Simplify (+ 0 0) into 0
12.909 * [backup-simplify]: Simplify (+ 0 1) into 1
12.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.910 * [taylor]: Taking taylor expansion of 0 in z
12.910 * [backup-simplify]: Simplify 0 into 0
12.910 * [taylor]: Taking taylor expansion of 0 in z
12.910 * [backup-simplify]: Simplify 0 into 0
12.910 * [taylor]: Taking taylor expansion of 0 in z
12.910 * [backup-simplify]: Simplify 0 into 0
12.910 * [backup-simplify]: Simplify 1 into 1
12.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.912 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.913 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.915 * [backup-simplify]: Simplify (+ 0 0) into 0
12.916 * [backup-simplify]: Simplify (+ 0 0) into 0
12.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.917 * [taylor]: Taking taylor expansion of 0 in y
12.917 * [backup-simplify]: Simplify 0 into 0
12.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.919 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
12.920 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.920 * [taylor]: Taking taylor expansion of 1/2 in z
12.920 * [backup-simplify]: Simplify 1/2 into 1/2
12.920 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.920 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.920 * [taylor]: Taking taylor expansion of z in z
12.920 * [backup-simplify]: Simplify 0 into 0
12.920 * [backup-simplify]: Simplify 1 into 1
12.921 * [backup-simplify]: Simplify (* 1 1) into 1
12.921 * [backup-simplify]: Simplify (/ 1 1) into 1
12.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [taylor]: Taking taylor expansion of 0 in z
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [taylor]: Taking taylor expansion of 0 in z
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [backup-simplify]: Simplify 0 into 0
12.926 * [backup-simplify]: Simplify 0 into 0
12.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.929 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.930 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.930 * [backup-simplify]: Simplify (+ 0 0) into 0
12.931 * [backup-simplify]: Simplify (+ 0 0) into 0
12.940 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
12.940 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.940 * [taylor]: Taking taylor expansion of -1/2 in y
12.940 * [backup-simplify]: Simplify -1/2 into -1/2
12.940 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
12.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.940 * [taylor]: Taking taylor expansion of 1/4 in y
12.940 * [backup-simplify]: Simplify 1/4 into 1/4
12.940 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.940 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.940 * [taylor]: Taking taylor expansion of z in y
12.940 * [backup-simplify]: Simplify z into z
12.940 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.941 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.941 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.941 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
12.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.941 * [taylor]: Taking taylor expansion of 1/2 in y
12.941 * [backup-simplify]: Simplify 1/2 into 1/2
12.941 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.941 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.941 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.941 * [taylor]: Taking taylor expansion of z in y
12.941 * [backup-simplify]: Simplify z into z
12.941 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.941 * [taylor]: Taking taylor expansion of y in y
12.941 * [backup-simplify]: Simplify 0 into 0
12.941 * [backup-simplify]: Simplify 1 into 1
12.941 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.941 * [backup-simplify]: Simplify (* 1 1) into 1
12.955 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.955 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.955 * [taylor]: Taking taylor expansion of 1/4 in y
12.955 * [backup-simplify]: Simplify 1/4 into 1/4
12.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.955 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.955 * [taylor]: Taking taylor expansion of y in y
12.955 * [backup-simplify]: Simplify 0 into 0
12.955 * [backup-simplify]: Simplify 1 into 1
12.956 * [backup-simplify]: Simplify (* 1 1) into 1
12.956 * [backup-simplify]: Simplify (* 1 1) into 1
12.959 * [backup-simplify]: Simplify (/ 1 1) into 1
12.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.959 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.960 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.973 * [backup-simplify]: Simplify (+ 0 0) into 0
12.973 * [backup-simplify]: Simplify (+ 0 0) into 0
12.973 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.974 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.975 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
12.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.976 * [backup-simplify]: Simplify (+ 0 0) into 0
12.977 * [backup-simplify]: Simplify (+ 0 0) into 0
12.977 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.978 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.978 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.980 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.980 * [taylor]: Taking taylor expansion of 0 in z
12.980 * [backup-simplify]: Simplify 0 into 0
12.980 * [taylor]: Taking taylor expansion of 0 in z
12.980 * [backup-simplify]: Simplify 0 into 0
12.980 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.983 * [backup-simplify]: Simplify (+ 0 0) into 0
12.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.985 * [taylor]: Taking taylor expansion of 0 in z
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [taylor]: Taking taylor expansion of 0 in z
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [taylor]: Taking taylor expansion of 0 in z
12.985 * [backup-simplify]: Simplify 0 into 0
12.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.988 * [backup-simplify]: Simplify 0 into 0
12.988 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
12.988 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
12.989 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
12.989 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
12.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.989 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.989 * [taylor]: Taking taylor expansion of x in z
12.989 * [backup-simplify]: Simplify x into x
12.989 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.989 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.989 * [taylor]: Taking taylor expansion of y in z
12.989 * [backup-simplify]: Simplify y into y
12.989 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.989 * [taylor]: Taking taylor expansion of z in z
12.989 * [backup-simplify]: Simplify 0 into 0
12.989 * [backup-simplify]: Simplify 1 into 1
12.989 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.989 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.990 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.990 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.990 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.990 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.990 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.991 * [backup-simplify]: Simplify (+ 0 0) into 0
12.991 * [backup-simplify]: Simplify (+ 0 0) into 0
12.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.992 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.992 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.992 * [taylor]: Taking taylor expansion of x in y
12.992 * [backup-simplify]: Simplify x into x
12.992 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.992 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.992 * [taylor]: Taking taylor expansion of y in y
12.992 * [backup-simplify]: Simplify 0 into 0
12.992 * [backup-simplify]: Simplify 1 into 1
12.992 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.992 * [taylor]: Taking taylor expansion of z in y
12.992 * [backup-simplify]: Simplify z into z
12.992 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.992 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.992 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.993 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.993 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.993 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.993 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.994 * [backup-simplify]: Simplify (+ 0 0) into 0
12.994 * [backup-simplify]: Simplify (+ 0 0) into 0
12.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
12.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.995 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.995 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.995 * [taylor]: Taking taylor expansion of x in x
12.995 * [backup-simplify]: Simplify 0 into 0
12.995 * [backup-simplify]: Simplify 1 into 1
12.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.995 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.995 * [taylor]: Taking taylor expansion of y in x
12.995 * [backup-simplify]: Simplify y into y
12.995 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.995 * [taylor]: Taking taylor expansion of z in x
12.995 * [backup-simplify]: Simplify z into z
12.995 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.995 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.995 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.996 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.996 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.996 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.997 * [backup-simplify]: Simplify (+ 0 0) into 0
12.997 * [backup-simplify]: Simplify (+ 0 0) into 0
12.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.998 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.998 * [taylor]: Taking taylor expansion of x in x
12.998 * [backup-simplify]: Simplify 0 into 0
12.998 * [backup-simplify]: Simplify 1 into 1
12.998 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.998 * [taylor]: Taking taylor expansion of y in x
12.998 * [backup-simplify]: Simplify y into y
12.998 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.998 * [taylor]: Taking taylor expansion of z in x
12.998 * [backup-simplify]: Simplify z into z
12.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.998 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.999 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.999 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.999 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.999 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.999 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.000 * [backup-simplify]: Simplify (+ 0 0) into 0
13.000 * [backup-simplify]: Simplify (+ 0 0) into 0
13.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
13.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
13.001 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
13.001 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.001 * [taylor]: Taking taylor expansion of y in y
13.001 * [backup-simplify]: Simplify 0 into 0
13.001 * [backup-simplify]: Simplify 1 into 1
13.001 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.001 * [taylor]: Taking taylor expansion of z in y
13.001 * [backup-simplify]: Simplify z into z
13.001 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.001 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
13.001 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
13.001 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.003 * [backup-simplify]: Simplify (+ 0 0) into 0
13.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
13.003 * [taylor]: Taking taylor expansion of z in z
13.003 * [backup-simplify]: Simplify 0 into 0
13.003 * [backup-simplify]: Simplify 1 into 1
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [taylor]: Taking taylor expansion of 0 in y
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [taylor]: Taking taylor expansion of 0 in z
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [taylor]: Taking taylor expansion of 0 in z
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [backup-simplify]: Simplify 1 into 1
13.004 * [backup-simplify]: Simplify (* 1 1) into 1
13.005 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
13.005 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.006 * [backup-simplify]: Simplify (+ 0 0) into 0
13.006 * [backup-simplify]: Simplify (+ 1 0) into 1
13.007 * [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)))))
13.007 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
13.007 * [taylor]: Taking taylor expansion of 1/2 in y
13.007 * [backup-simplify]: Simplify 1/2 into 1/2
13.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
13.007 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
13.007 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
13.007 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.007 * [taylor]: Taking taylor expansion of y in y
13.007 * [backup-simplify]: Simplify 0 into 0
13.007 * [backup-simplify]: Simplify 1 into 1
13.007 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.007 * [taylor]: Taking taylor expansion of z in y
13.007 * [backup-simplify]: Simplify z into z
13.007 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.008 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
13.008 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.008 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
13.008 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.008 * [backup-simplify]: Simplify (+ 0 0) into 0
13.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
13.009 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
13.009 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
13.009 * [taylor]: Taking taylor expansion of 1/2 in z
13.009 * [backup-simplify]: Simplify 1/2 into 1/2
13.009 * [taylor]: Taking taylor expansion of z in z
13.009 * [backup-simplify]: Simplify 0 into 0
13.009 * [backup-simplify]: Simplify 1 into 1
13.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.011 * [backup-simplify]: Simplify 0 into 0
13.011 * [taylor]: Taking taylor expansion of 0 in z
13.011 * [backup-simplify]: Simplify 0 into 0
13.011 * [backup-simplify]: Simplify 0 into 0
13.012 * [backup-simplify]: Simplify (* 1 1) into 1
13.012 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.013 * [backup-simplify]: Simplify (+ 1 0) into 1
13.013 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
13.013 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
13.013 * [taylor]: Taking taylor expansion of 1/2 in z
13.013 * [backup-simplify]: Simplify 1/2 into 1/2
13.013 * [taylor]: Taking taylor expansion of z in z
13.014 * [backup-simplify]: Simplify 0 into 0
13.014 * [backup-simplify]: Simplify 1 into 1
13.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.017 * [backup-simplify]: Simplify 0 into 0
13.017 * [backup-simplify]: Simplify 0 into 0
13.018 * [backup-simplify]: Simplify 0 into 0
13.018 * [backup-simplify]: Simplify 0 into 0
13.019 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
13.019 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
13.019 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
13.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
13.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
13.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
13.020 * [taylor]: Taking taylor expansion of (pow x 2) in z
13.020 * [taylor]: Taking taylor expansion of x in z
13.020 * [backup-simplify]: Simplify x into x
13.020 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.020 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
13.020 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.020 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.020 * [taylor]: Taking taylor expansion of z in z
13.020 * [backup-simplify]: Simplify 0 into 0
13.020 * [backup-simplify]: Simplify 1 into 1
13.021 * [backup-simplify]: Simplify (* 1 1) into 1
13.021 * [backup-simplify]: Simplify (/ 1 1) into 1
13.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
13.021 * [taylor]: Taking taylor expansion of (pow y 2) in z
13.021 * [taylor]: Taking taylor expansion of y in z
13.021 * [backup-simplify]: Simplify y into y
13.030 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.031 * [backup-simplify]: Simplify (+ 1 0) into 1
13.032 * [backup-simplify]: Simplify (+ 0 1) into 1
13.032 * [backup-simplify]: Simplify (sqrt 1) into 1
13.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.039 * [backup-simplify]: Simplify (+ 0 0) into 0
13.039 * [backup-simplify]: Simplify (+ 0 0) into 0
13.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
13.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
13.040 * [taylor]: Taking taylor expansion of (pow x 2) in y
13.040 * [taylor]: Taking taylor expansion of x in y
13.040 * [backup-simplify]: Simplify x into x
13.040 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.040 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.041 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.041 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.041 * [taylor]: Taking taylor expansion of z in y
13.041 * [backup-simplify]: Simplify z into z
13.041 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.041 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.041 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.041 * [taylor]: Taking taylor expansion of y in y
13.041 * [backup-simplify]: Simplify 0 into 0
13.041 * [backup-simplify]: Simplify 1 into 1
13.046 * [backup-simplify]: Simplify (* 1 1) into 1
13.046 * [backup-simplify]: Simplify (/ 1 1) into 1
13.047 * [backup-simplify]: Simplify (+ 0 1) into 1
13.047 * [backup-simplify]: Simplify (+ 0 1) into 1
13.048 * [backup-simplify]: Simplify (sqrt 1) into 1
13.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.054 * [backup-simplify]: Simplify (+ 0 0) into 0
13.055 * [backup-simplify]: Simplify (+ 0 0) into 0
13.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.056 * [taylor]: Taking taylor expansion of x in x
13.056 * [backup-simplify]: Simplify 0 into 0
13.056 * [backup-simplify]: Simplify 1 into 1
13.056 * [backup-simplify]: Simplify (* 1 1) into 1
13.056 * [backup-simplify]: Simplify (/ 1 1) into 1
13.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.056 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.057 * [taylor]: Taking taylor expansion of z in x
13.057 * [backup-simplify]: Simplify z into z
13.057 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.057 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.057 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.057 * [taylor]: Taking taylor expansion of y in x
13.057 * [backup-simplify]: Simplify y into y
13.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.062 * [backup-simplify]: Simplify (+ 1 0) into 1
13.062 * [backup-simplify]: Simplify (sqrt 1) into 1
13.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.064 * [backup-simplify]: Simplify (+ 0 0) into 0
13.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.065 * [taylor]: Taking taylor expansion of x in x
13.065 * [backup-simplify]: Simplify 0 into 0
13.065 * [backup-simplify]: Simplify 1 into 1
13.065 * [backup-simplify]: Simplify (* 1 1) into 1
13.070 * [backup-simplify]: Simplify (/ 1 1) into 1
13.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.070 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.070 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.070 * [taylor]: Taking taylor expansion of z in x
13.070 * [backup-simplify]: Simplify z into z
13.070 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.071 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.071 * [taylor]: Taking taylor expansion of y in x
13.071 * [backup-simplify]: Simplify y into y
13.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.072 * [backup-simplify]: Simplify (+ 1 0) into 1
13.072 * [backup-simplify]: Simplify (sqrt 1) into 1
13.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.078 * [backup-simplify]: Simplify (+ 0 0) into 0
13.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.079 * [taylor]: Taking taylor expansion of 1 in y
13.079 * [backup-simplify]: Simplify 1 into 1
13.079 * [taylor]: Taking taylor expansion of 0 in y
13.079 * [backup-simplify]: Simplify 0 into 0
13.079 * [taylor]: Taking taylor expansion of 1 in z
13.079 * [backup-simplify]: Simplify 1 into 1
13.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.086 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.087 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.088 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
13.089 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.089 * [taylor]: Taking taylor expansion of 1/2 in y
13.089 * [backup-simplify]: Simplify 1/2 into 1/2
13.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.089 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.089 * [taylor]: Taking taylor expansion of z in y
13.089 * [backup-simplify]: Simplify z into z
13.089 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.089 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.089 * [taylor]: Taking taylor expansion of y in y
13.089 * [backup-simplify]: Simplify 0 into 0
13.089 * [backup-simplify]: Simplify 1 into 1
13.094 * [backup-simplify]: Simplify (* 1 1) into 1
13.094 * [backup-simplify]: Simplify (/ 1 1) into 1
13.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.096 * [backup-simplify]: Simplify (+ 0 0) into 0
13.097 * [backup-simplify]: Simplify (+ 0 1) into 1
13.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.097 * [taylor]: Taking taylor expansion of 0 in z
13.097 * [backup-simplify]: Simplify 0 into 0
13.102 * [taylor]: Taking taylor expansion of 0 in z
13.102 * [backup-simplify]: Simplify 0 into 0
13.102 * [taylor]: Taking taylor expansion of 0 in z
13.102 * [backup-simplify]: Simplify 0 into 0
13.102 * [backup-simplify]: Simplify 1 into 1
13.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.105 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
13.111 * [backup-simplify]: Simplify (+ 0 0) into 0
13.112 * [backup-simplify]: Simplify (+ 0 0) into 0
13.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
13.113 * [taylor]: Taking taylor expansion of 0 in y
13.113 * [backup-simplify]: Simplify 0 into 0
13.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.120 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
13.121 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
13.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
13.121 * [taylor]: Taking taylor expansion of 1/2 in z
13.121 * [backup-simplify]: Simplify 1/2 into 1/2
13.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.121 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.121 * [taylor]: Taking taylor expansion of z in z
13.121 * [backup-simplify]: Simplify 0 into 0
13.121 * [backup-simplify]: Simplify 1 into 1
13.121 * [backup-simplify]: Simplify (* 1 1) into 1
13.126 * [backup-simplify]: Simplify (/ 1 1) into 1
13.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [taylor]: Taking taylor expansion of 0 in z
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [taylor]: Taking taylor expansion of 0 in z
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
13.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.141 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
13.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
13.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
13.143 * [backup-simplify]: Simplify (+ 0 0) into 0
13.144 * [backup-simplify]: Simplify (+ 0 0) into 0
13.150 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
13.150 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
13.150 * [taylor]: Taking taylor expansion of -1/2 in y
13.150 * [backup-simplify]: Simplify -1/2 into -1/2
13.150 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
13.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
13.150 * [taylor]: Taking taylor expansion of 1/4 in y
13.150 * [backup-simplify]: Simplify 1/4 into 1/4
13.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
13.150 * [taylor]: Taking taylor expansion of (pow z 4) in y
13.150 * [taylor]: Taking taylor expansion of z in y
13.150 * [backup-simplify]: Simplify z into z
13.150 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.151 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
13.151 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
13.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
13.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
13.151 * [taylor]: Taking taylor expansion of 1/2 in y
13.151 * [backup-simplify]: Simplify 1/2 into 1/2
13.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
13.151 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
13.151 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.151 * [taylor]: Taking taylor expansion of z in y
13.151 * [backup-simplify]: Simplify z into z
13.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.151 * [taylor]: Taking taylor expansion of y in y
13.151 * [backup-simplify]: Simplify 0 into 0
13.151 * [backup-simplify]: Simplify 1 into 1
13.151 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.152 * [backup-simplify]: Simplify (* 1 1) into 1
13.153 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
13.153 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
13.153 * [taylor]: Taking taylor expansion of 1/4 in y
13.153 * [backup-simplify]: Simplify 1/4 into 1/4
13.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
13.153 * [taylor]: Taking taylor expansion of (pow y 4) in y
13.153 * [taylor]: Taking taylor expansion of y in y
13.153 * [backup-simplify]: Simplify 0 into 0
13.153 * [backup-simplify]: Simplify 1 into 1
13.162 * [backup-simplify]: Simplify (* 1 1) into 1
13.162 * [backup-simplify]: Simplify (* 1 1) into 1
13.163 * [backup-simplify]: Simplify (/ 1 1) into 1
13.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.164 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.164 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
13.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
13.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.175 * [backup-simplify]: Simplify (+ 0 0) into 0
13.176 * [backup-simplify]: Simplify (+ 0 0) into 0
13.176 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
13.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
13.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
13.177 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
13.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
13.178 * [backup-simplify]: Simplify (+ 0 0) into 0
13.180 * [backup-simplify]: Simplify (+ 0 0) into 0
13.181 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.182 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
13.182 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
13.189 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
13.190 * [taylor]: Taking taylor expansion of 0 in z
13.190 * [backup-simplify]: Simplify 0 into 0
13.190 * [taylor]: Taking taylor expansion of 0 in z
13.190 * [backup-simplify]: Simplify 0 into 0
13.190 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.379 * [backup-simplify]: Simplify (+ 0 0) into 0
13.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
13.409 * [taylor]: Taking taylor expansion of 0 in z
13.409 * [backup-simplify]: Simplify 0 into 0
13.410 * [taylor]: Taking taylor expansion of 0 in z
13.410 * [backup-simplify]: Simplify 0 into 0
13.410 * [taylor]: Taking taylor expansion of 0 in z
13.410 * [backup-simplify]: Simplify 0 into 0
13.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.428 * [backup-simplify]: Simplify 0 into 0
13.428 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
13.429 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
13.429 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
13.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
13.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
13.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
13.429 * [taylor]: Taking taylor expansion of (pow x 2) in z
13.429 * [taylor]: Taking taylor expansion of x in z
13.429 * [backup-simplify]: Simplify x into x
13.430 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.430 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
13.430 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.430 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.430 * [taylor]: Taking taylor expansion of z in z
13.430 * [backup-simplify]: Simplify 0 into 0
13.430 * [backup-simplify]: Simplify 1 into 1
13.431 * [backup-simplify]: Simplify (* 1 1) into 1
13.432 * [backup-simplify]: Simplify (/ 1 1) into 1
13.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
13.432 * [taylor]: Taking taylor expansion of (pow y 2) in z
13.432 * [taylor]: Taking taylor expansion of y in z
13.432 * [backup-simplify]: Simplify y into y
13.432 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.432 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.433 * [backup-simplify]: Simplify (+ 1 0) into 1
13.451 * [backup-simplify]: Simplify (+ 0 1) into 1
13.451 * [backup-simplify]: Simplify (sqrt 1) into 1
13.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.453 * [backup-simplify]: Simplify (+ 0 0) into 0
13.454 * [backup-simplify]: Simplify (+ 0 0) into 0
13.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
13.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
13.455 * [taylor]: Taking taylor expansion of (pow x 2) in y
13.455 * [taylor]: Taking taylor expansion of x in y
13.455 * [backup-simplify]: Simplify x into x
13.455 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.455 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.455 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.455 * [taylor]: Taking taylor expansion of z in y
13.455 * [backup-simplify]: Simplify z into z
13.455 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.456 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.456 * [taylor]: Taking taylor expansion of y in y
13.456 * [backup-simplify]: Simplify 0 into 0
13.456 * [backup-simplify]: Simplify 1 into 1
13.456 * [backup-simplify]: Simplify (* 1 1) into 1
13.457 * [backup-simplify]: Simplify (/ 1 1) into 1
13.457 * [backup-simplify]: Simplify (+ 0 1) into 1
13.474 * [backup-simplify]: Simplify (+ 0 1) into 1
13.475 * [backup-simplify]: Simplify (sqrt 1) into 1
13.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.480 * [backup-simplify]: Simplify (+ 0 0) into 0
13.483 * [backup-simplify]: Simplify (+ 0 0) into 0
13.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.484 * [taylor]: Taking taylor expansion of x in x
13.484 * [backup-simplify]: Simplify 0 into 0
13.484 * [backup-simplify]: Simplify 1 into 1
13.484 * [backup-simplify]: Simplify (* 1 1) into 1
13.484 * [backup-simplify]: Simplify (/ 1 1) into 1
13.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.484 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.485 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.485 * [taylor]: Taking taylor expansion of z in x
13.485 * [backup-simplify]: Simplify z into z
13.485 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.485 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.485 * [taylor]: Taking taylor expansion of y in x
13.485 * [backup-simplify]: Simplify y into y
13.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.486 * [backup-simplify]: Simplify (+ 1 0) into 1
13.486 * [backup-simplify]: Simplify (sqrt 1) into 1
13.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.488 * [backup-simplify]: Simplify (+ 0 0) into 0
13.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.488 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.489 * [taylor]: Taking taylor expansion of x in x
13.489 * [backup-simplify]: Simplify 0 into 0
13.489 * [backup-simplify]: Simplify 1 into 1
13.489 * [backup-simplify]: Simplify (* 1 1) into 1
13.489 * [backup-simplify]: Simplify (/ 1 1) into 1
13.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.489 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.489 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.489 * [taylor]: Taking taylor expansion of z in x
13.489 * [backup-simplify]: Simplify z into z
13.490 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.490 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.490 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.490 * [taylor]: Taking taylor expansion of y in x
13.490 * [backup-simplify]: Simplify y into y
13.490 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.491 * [backup-simplify]: Simplify (+ 1 0) into 1
13.491 * [backup-simplify]: Simplify (sqrt 1) into 1
13.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.498 * [backup-simplify]: Simplify (+ 0 0) into 0
13.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.499 * [taylor]: Taking taylor expansion of 1 in y
13.500 * [backup-simplify]: Simplify 1 into 1
13.500 * [taylor]: Taking taylor expansion of 0 in y
13.500 * [backup-simplify]: Simplify 0 into 0
13.500 * [taylor]: Taking taylor expansion of 1 in z
13.500 * [backup-simplify]: Simplify 1 into 1
13.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.509 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.509 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.511 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
13.511 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.511 * [taylor]: Taking taylor expansion of 1/2 in y
13.511 * [backup-simplify]: Simplify 1/2 into 1/2
13.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.511 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.511 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.511 * [taylor]: Taking taylor expansion of z in y
13.511 * [backup-simplify]: Simplify z into z
13.511 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.511 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.511 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.511 * [taylor]: Taking taylor expansion of y in y
13.511 * [backup-simplify]: Simplify 0 into 0
13.511 * [backup-simplify]: Simplify 1 into 1
13.512 * [backup-simplify]: Simplify (* 1 1) into 1
13.512 * [backup-simplify]: Simplify (/ 1 1) into 1
13.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.516 * [backup-simplify]: Simplify (+ 0 0) into 0
13.517 * [backup-simplify]: Simplify (+ 0 1) into 1
13.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.518 * [taylor]: Taking taylor expansion of 0 in z
13.518 * [backup-simplify]: Simplify 0 into 0
13.518 * [taylor]: Taking taylor expansion of 0 in z
13.518 * [backup-simplify]: Simplify 0 into 0
13.518 * [taylor]: Taking taylor expansion of 0 in z
13.518 * [backup-simplify]: Simplify 0 into 0
13.518 * [backup-simplify]: Simplify 1 into 1
13.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.529 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
13.530 * [backup-simplify]: Simplify (+ 0 0) into 0
13.530 * [backup-simplify]: Simplify (+ 0 0) into 0
13.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
13.533 * [taylor]: Taking taylor expansion of 0 in y
13.533 * [backup-simplify]: Simplify 0 into 0
13.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.535 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
13.536 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
13.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
13.536 * [taylor]: Taking taylor expansion of 1/2 in z
13.536 * [backup-simplify]: Simplify 1/2 into 1/2
13.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.536 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.536 * [taylor]: Taking taylor expansion of z in z
13.536 * [backup-simplify]: Simplify 0 into 0
13.537 * [backup-simplify]: Simplify 1 into 1
13.540 * [backup-simplify]: Simplify (* 1 1) into 1
13.541 * [backup-simplify]: Simplify (/ 1 1) into 1
13.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [taylor]: Taking taylor expansion of 0 in z
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [taylor]: Taking taylor expansion of 0 in z
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [backup-simplify]: Simplify 0 into 0
13.543 * [backup-simplify]: Simplify 0 into 0
13.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
13.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.548 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
13.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
13.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
13.554 * [backup-simplify]: Simplify (+ 0 0) into 0
13.554 * [backup-simplify]: Simplify (+ 0 0) into 0
13.556 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
13.556 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
13.556 * [taylor]: Taking taylor expansion of -1/2 in y
13.556 * [backup-simplify]: Simplify -1/2 into -1/2
13.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
13.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
13.556 * [taylor]: Taking taylor expansion of 1/4 in y
13.556 * [backup-simplify]: Simplify 1/4 into 1/4
13.556 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
13.556 * [taylor]: Taking taylor expansion of (pow z 4) in y
13.556 * [taylor]: Taking taylor expansion of z in y
13.556 * [backup-simplify]: Simplify z into z
13.556 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.557 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
13.557 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
13.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
13.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
13.557 * [taylor]: Taking taylor expansion of 1/2 in y
13.557 * [backup-simplify]: Simplify 1/2 into 1/2
13.557 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
13.557 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
13.557 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.557 * [taylor]: Taking taylor expansion of z in y
13.557 * [backup-simplify]: Simplify z into z
13.557 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.557 * [taylor]: Taking taylor expansion of y in y
13.557 * [backup-simplify]: Simplify 0 into 0
13.557 * [backup-simplify]: Simplify 1 into 1
13.557 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.558 * [backup-simplify]: Simplify (* 1 1) into 1
13.558 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
13.558 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
13.558 * [taylor]: Taking taylor expansion of 1/4 in y
13.558 * [backup-simplify]: Simplify 1/4 into 1/4
13.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
13.558 * [taylor]: Taking taylor expansion of (pow y 4) in y
13.558 * [taylor]: Taking taylor expansion of y in y
13.558 * [backup-simplify]: Simplify 0 into 0
13.558 * [backup-simplify]: Simplify 1 into 1
13.559 * [backup-simplify]: Simplify (* 1 1) into 1
13.559 * [backup-simplify]: Simplify (* 1 1) into 1
13.559 * [backup-simplify]: Simplify (/ 1 1) into 1
13.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.560 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.561 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
13.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
13.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.571 * [backup-simplify]: Simplify (+ 0 0) into 0
13.572 * [backup-simplify]: Simplify (+ 0 0) into 0
13.572 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
13.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
13.580 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
13.580 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
13.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
13.584 * [backup-simplify]: Simplify (+ 0 0) into 0
13.585 * [backup-simplify]: Simplify (+ 0 0) into 0
13.585 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.585 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
13.586 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
13.587 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
13.587 * [taylor]: Taking taylor expansion of 0 in z
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [taylor]: Taking taylor expansion of 0 in z
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.592 * [backup-simplify]: Simplify (+ 0 0) into 0
13.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
13.593 * [taylor]: Taking taylor expansion of 0 in z
13.593 * [backup-simplify]: Simplify 0 into 0
13.593 * [taylor]: Taking taylor expansion of 0 in z
13.593 * [backup-simplify]: Simplify 0 into 0
13.593 * [taylor]: Taking taylor expansion of 0 in z
13.593 * [backup-simplify]: Simplify 0 into 0
13.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.596 * [backup-simplify]: Simplify 0 into 0
13.596 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
13.598 * * * * [progress]: [ 3 / 3 ] generating series at (2)
13.599 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
13.599 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
13.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
13.600 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
13.600 * [taylor]: Taking taylor expansion of (pow x 2) in z
13.600 * [taylor]: Taking taylor expansion of x in z
13.600 * [backup-simplify]: Simplify x into x
13.600 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
13.600 * [taylor]: Taking taylor expansion of (pow y 2) in z
13.600 * [taylor]: Taking taylor expansion of y in z
13.600 * [backup-simplify]: Simplify y into y
13.600 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.600 * [taylor]: Taking taylor expansion of z in z
13.600 * [backup-simplify]: Simplify 0 into 0
13.600 * [backup-simplify]: Simplify 1 into 1
13.600 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.600 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.600 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
13.601 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
13.601 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
13.601 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
13.601 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.601 * [backup-simplify]: Simplify (+ 0 0) into 0
13.604 * [backup-simplify]: Simplify (+ 0 0) into 0
13.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
13.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
13.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
13.605 * [taylor]: Taking taylor expansion of (pow x 2) in y
13.605 * [taylor]: Taking taylor expansion of x in y
13.605 * [backup-simplify]: Simplify x into x
13.605 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
13.605 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.605 * [taylor]: Taking taylor expansion of y in y
13.605 * [backup-simplify]: Simplify 0 into 0
13.605 * [backup-simplify]: Simplify 1 into 1
13.605 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.605 * [taylor]: Taking taylor expansion of z in y
13.605 * [backup-simplify]: Simplify z into z
13.605 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.605 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.605 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
13.606 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
13.606 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
13.606 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
13.606 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.607 * [backup-simplify]: Simplify (+ 0 0) into 0
13.607 * [backup-simplify]: Simplify (+ 0 0) into 0
13.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
13.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
13.608 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
13.608 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.608 * [taylor]: Taking taylor expansion of x in x
13.608 * [backup-simplify]: Simplify 0 into 0
13.608 * [backup-simplify]: Simplify 1 into 1
13.608 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
13.608 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.608 * [taylor]: Taking taylor expansion of y in x
13.608 * [backup-simplify]: Simplify y into y
13.608 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.608 * [taylor]: Taking taylor expansion of z in x
13.608 * [backup-simplify]: Simplify z into z
13.608 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.608 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.609 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
13.609 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
13.609 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
13.609 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.609 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.612 * [backup-simplify]: Simplify (+ 0 0) into 0
13.613 * [backup-simplify]: Simplify (+ 0 0) into 0
13.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
13.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
13.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
13.613 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.613 * [taylor]: Taking taylor expansion of x in x
13.613 * [backup-simplify]: Simplify 0 into 0
13.613 * [backup-simplify]: Simplify 1 into 1
13.614 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
13.614 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.614 * [taylor]: Taking taylor expansion of y in x
13.614 * [backup-simplify]: Simplify y into y
13.614 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.614 * [taylor]: Taking taylor expansion of z in x
13.614 * [backup-simplify]: Simplify z into z
13.614 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.614 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.614 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
13.614 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
13.615 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
13.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.615 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.615 * [backup-simplify]: Simplify (+ 0 0) into 0
13.616 * [backup-simplify]: Simplify (+ 0 0) into 0
13.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
13.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
13.616 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
13.616 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.616 * [taylor]: Taking taylor expansion of y in y
13.616 * [backup-simplify]: Simplify 0 into 0
13.616 * [backup-simplify]: Simplify 1 into 1
13.616 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.616 * [taylor]: Taking taylor expansion of z in y
13.616 * [backup-simplify]: Simplify z into z
13.616 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.617 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
13.617 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
13.617 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.617 * [backup-simplify]: Simplify (+ 0 0) into 0
13.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
13.628 * [taylor]: Taking taylor expansion of z in z
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 1 into 1
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [taylor]: Taking taylor expansion of 0 in y
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [taylor]: Taking taylor expansion of 0 in z
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 0 into 0
13.629 * [taylor]: Taking taylor expansion of 0 in z
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify 1 into 1
13.629 * [backup-simplify]: Simplify (* 1 1) into 1
13.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
13.630 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.630 * [backup-simplify]: Simplify (+ 0 0) into 0
13.631 * [backup-simplify]: Simplify (+ 1 0) into 1
13.634 * [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)))))
13.634 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
13.634 * [taylor]: Taking taylor expansion of 1/2 in y
13.634 * [backup-simplify]: Simplify 1/2 into 1/2
13.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
13.634 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
13.634 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
13.635 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.635 * [taylor]: Taking taylor expansion of y in y
13.635 * [backup-simplify]: Simplify 0 into 0
13.635 * [backup-simplify]: Simplify 1 into 1
13.635 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.635 * [taylor]: Taking taylor expansion of z in y
13.635 * [backup-simplify]: Simplify z into z
13.635 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.635 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
13.635 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.635 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
13.635 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.636 * [backup-simplify]: Simplify (+ 0 0) into 0
13.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
13.637 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
13.637 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
13.637 * [taylor]: Taking taylor expansion of 1/2 in z
13.637 * [backup-simplify]: Simplify 1/2 into 1/2
13.637 * [taylor]: Taking taylor expansion of z in z
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 1 into 1
13.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.638 * [backup-simplify]: Simplify 0 into 0
13.638 * [taylor]: Taking taylor expansion of 0 in z
13.638 * [backup-simplify]: Simplify 0 into 0
13.638 * [backup-simplify]: Simplify 0 into 0
13.639 * [backup-simplify]: Simplify (* 1 1) into 1
13.639 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.639 * [backup-simplify]: Simplify (+ 1 0) into 1
13.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
13.640 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
13.640 * [taylor]: Taking taylor expansion of 1/2 in z
13.640 * [backup-simplify]: Simplify 1/2 into 1/2
13.640 * [taylor]: Taking taylor expansion of z in z
13.640 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify 1 into 1
13.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.640 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify 0 into 0
13.641 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
13.641 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
13.641 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
13.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
13.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
13.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
13.641 * [taylor]: Taking taylor expansion of (pow x 2) in z
13.641 * [taylor]: Taking taylor expansion of x in z
13.641 * [backup-simplify]: Simplify x into x
13.642 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.643 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
13.643 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.643 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.643 * [taylor]: Taking taylor expansion of z in z
13.643 * [backup-simplify]: Simplify 0 into 0
13.643 * [backup-simplify]: Simplify 1 into 1
13.643 * [backup-simplify]: Simplify (* 1 1) into 1
13.644 * [backup-simplify]: Simplify (/ 1 1) into 1
13.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
13.644 * [taylor]: Taking taylor expansion of (pow y 2) in z
13.644 * [taylor]: Taking taylor expansion of y in z
13.644 * [backup-simplify]: Simplify y into y
13.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.645 * [backup-simplify]: Simplify (+ 1 0) into 1
13.645 * [backup-simplify]: Simplify (+ 0 1) into 1
13.645 * [backup-simplify]: Simplify (sqrt 1) into 1
13.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.647 * [backup-simplify]: Simplify (+ 0 0) into 0
13.647 * [backup-simplify]: Simplify (+ 0 0) into 0
13.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
13.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
13.648 * [taylor]: Taking taylor expansion of (pow x 2) in y
13.648 * [taylor]: Taking taylor expansion of x in y
13.648 * [backup-simplify]: Simplify x into x
13.648 * [backup-simplify]: Simplify (* x x) into (pow x 2)
13.649 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
13.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.649 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.649 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.649 * [taylor]: Taking taylor expansion of z in y
13.649 * [backup-simplify]: Simplify z into z
13.649 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.649 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.649 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.649 * [taylor]: Taking taylor expansion of y in y
13.649 * [backup-simplify]: Simplify 0 into 0
13.649 * [backup-simplify]: Simplify 1 into 1
13.649 * [backup-simplify]: Simplify (* 1 1) into 1
13.650 * [backup-simplify]: Simplify (/ 1 1) into 1
13.650 * [backup-simplify]: Simplify (+ 0 1) into 1
13.651 * [backup-simplify]: Simplify (+ 0 1) into 1
13.651 * [backup-simplify]: Simplify (sqrt 1) into 1
13.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.653 * [backup-simplify]: Simplify (+ 0 0) into 0
13.653 * [backup-simplify]: Simplify (+ 0 0) into 0
13.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.654 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.654 * [taylor]: Taking taylor expansion of x in x
13.654 * [backup-simplify]: Simplify 0 into 0
13.654 * [backup-simplify]: Simplify 1 into 1
13.655 * [backup-simplify]: Simplify (* 1 1) into 1
13.655 * [backup-simplify]: Simplify (/ 1 1) into 1
13.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.655 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.655 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.655 * [taylor]: Taking taylor expansion of z in x
13.655 * [backup-simplify]: Simplify z into z
13.655 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.656 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.656 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.656 * [taylor]: Taking taylor expansion of y in x
13.656 * [backup-simplify]: Simplify y into y
13.656 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.656 * [backup-simplify]: Simplify (+ 1 0) into 1
13.657 * [backup-simplify]: Simplify (sqrt 1) into 1
13.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.663 * [backup-simplify]: Simplify (+ 0 0) into 0
13.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
13.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
13.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
13.664 * [taylor]: Taking taylor expansion of (pow x 2) in x
13.664 * [taylor]: Taking taylor expansion of x in x
13.664 * [backup-simplify]: Simplify 0 into 0
13.664 * [backup-simplify]: Simplify 1 into 1
13.664 * [backup-simplify]: Simplify (* 1 1) into 1
13.665 * [backup-simplify]: Simplify (/ 1 1) into 1
13.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
13.665 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
13.665 * [taylor]: Taking taylor expansion of (pow z 2) in x
13.665 * [taylor]: Taking taylor expansion of z in x
13.665 * [backup-simplify]: Simplify z into z
13.665 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.665 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
13.665 * [taylor]: Taking taylor expansion of (pow y 2) in x
13.665 * [taylor]: Taking taylor expansion of y in x
13.665 * [backup-simplify]: Simplify y into y
13.665 * [backup-simplify]: Simplify (* y y) into (pow y 2)
13.665 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
13.682 * [backup-simplify]: Simplify (+ 1 0) into 1
13.683 * [backup-simplify]: Simplify (sqrt 1) into 1
13.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.684 * [backup-simplify]: Simplify (+ 0 0) into 0
13.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.685 * [taylor]: Taking taylor expansion of 1 in y
13.685 * [backup-simplify]: Simplify 1 into 1
13.685 * [taylor]: Taking taylor expansion of 0 in y
13.685 * [backup-simplify]: Simplify 0 into 0
13.685 * [taylor]: Taking taylor expansion of 1 in z
13.685 * [backup-simplify]: Simplify 1 into 1
13.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.696 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.696 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
13.706 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
13.706 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
13.706 * [taylor]: Taking taylor expansion of 1/2 in y
13.706 * [backup-simplify]: Simplify 1/2 into 1/2
13.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
13.706 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
13.706 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.706 * [taylor]: Taking taylor expansion of z in y
13.706 * [backup-simplify]: Simplify z into z
13.706 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.706 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
13.707 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.707 * [taylor]: Taking taylor expansion of y in y
13.707 * [backup-simplify]: Simplify 0 into 0
13.707 * [backup-simplify]: Simplify 1 into 1
13.707 * [backup-simplify]: Simplify (* 1 1) into 1
13.707 * [backup-simplify]: Simplify (/ 1 1) into 1
13.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.713 * [backup-simplify]: Simplify (+ 0 0) into 0
13.714 * [backup-simplify]: Simplify (+ 0 1) into 1
13.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.715 * [taylor]: Taking taylor expansion of 0 in z
13.715 * [backup-simplify]: Simplify 0 into 0
13.715 * [taylor]: Taking taylor expansion of 0 in z
13.715 * [backup-simplify]: Simplify 0 into 0
13.715 * [taylor]: Taking taylor expansion of 0 in z
13.715 * [backup-simplify]: Simplify 0 into 0
13.715 * [backup-simplify]: Simplify 1 into 1
13.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.717 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.717 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
13.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
13.731 * [backup-simplify]: Simplify (+ 0 0) into 0
13.731 * [backup-simplify]: Simplify (+ 0 0) into 0
13.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
13.732 * [taylor]: Taking taylor expansion of 0 in y
13.732 * [backup-simplify]: Simplify 0 into 0
13.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.737 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
13.738 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
13.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
13.738 * [taylor]: Taking taylor expansion of 1/2 in z
13.738 * [backup-simplify]: Simplify 1/2 into 1/2
13.738 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
13.738 * [taylor]: Taking taylor expansion of (pow z 2) in z
13.738 * [taylor]: Taking taylor expansion of z in z
13.738 * [backup-simplify]: Simplify 0 into 0
13.738 * [backup-simplify]: Simplify 1 into 1
13.738 * [backup-simplify]: Simplify (* 1 1) into 1
13.739 * [backup-simplify]: Simplify (/ 1 1) into 1
13.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [taylor]: Taking taylor expansion of 0 in z
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [taylor]: Taking taylor expansion of 0 in z
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
13.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.752 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
13.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
13.753 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
13.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
13.937 * [backup-simplify]: Simplify (+ 0 0) into 0
13.955 * [backup-simplify]: Simplify (+ 0 0) into 0
13.968 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
13.968 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
13.968 * [taylor]: Taking taylor expansion of -1/2 in y
13.968 * [backup-simplify]: Simplify -1/2 into -1/2
13.968 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
13.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
13.969 * [taylor]: Taking taylor expansion of 1/4 in y
13.969 * [backup-simplify]: Simplify 1/4 into 1/4
13.969 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
13.969 * [taylor]: Taking taylor expansion of (pow z 4) in y
13.969 * [taylor]: Taking taylor expansion of z in y
13.969 * [backup-simplify]: Simplify z into z
13.969 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.969 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
13.969 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
13.969 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
13.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
13.969 * [taylor]: Taking taylor expansion of 1/2 in y
13.969 * [backup-simplify]: Simplify 1/2 into 1/2
13.969 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
13.969 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
13.969 * [taylor]: Taking taylor expansion of (pow z 2) in y
13.969 * [taylor]: Taking taylor expansion of z in y
13.969 * [backup-simplify]: Simplify z into z
13.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
13.970 * [taylor]: Taking taylor expansion of y in y
13.970 * [backup-simplify]: Simplify 0 into 0
13.970 * [backup-simplify]: Simplify 1 into 1
13.970 * [backup-simplify]: Simplify (* z z) into (pow z 2)
13.970 * [backup-simplify]: Simplify (* 1 1) into 1
13.970 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
13.970 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
13.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
13.971 * [taylor]: Taking taylor expansion of 1/4 in y
13.971 * [backup-simplify]: Simplify 1/4 into 1/4
13.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
13.971 * [taylor]: Taking taylor expansion of (pow y 4) in y
13.971 * [taylor]: Taking taylor expansion of y in y
13.971 * [backup-simplify]: Simplify 0 into 0
13.971 * [backup-simplify]: Simplify 1 into 1
13.971 * [backup-simplify]: Simplify (* 1 1) into 1
13.971 * [backup-simplify]: Simplify (* 1 1) into 1
13.972 * [backup-simplify]: Simplify (/ 1 1) into 1
13.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.973 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
13.974 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
13.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
13.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
13.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.992 * [backup-simplify]: Simplify (+ 0 0) into 0
13.992 * [backup-simplify]: Simplify (+ 0 0) into 0
13.992 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
14.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
14.000 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
14.000 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
14.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
14.002 * [backup-simplify]: Simplify (+ 0 0) into 0
14.002 * [backup-simplify]: Simplify (+ 0 0) into 0
14.003 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
14.003 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
14.003 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
14.005 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
14.005 * [taylor]: Taking taylor expansion of 0 in z
14.005 * [backup-simplify]: Simplify 0 into 0
14.016 * [taylor]: Taking taylor expansion of 0 in z
14.016 * [backup-simplify]: Simplify 0 into 0
14.016 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
14.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
14.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.019 * [backup-simplify]: Simplify (+ 0 0) into 0
14.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
14.020 * [taylor]: Taking taylor expansion of 0 in z
14.020 * [backup-simplify]: Simplify 0 into 0
14.020 * [taylor]: Taking taylor expansion of 0 in z
14.020 * [backup-simplify]: Simplify 0 into 0
14.020 * [taylor]: Taking taylor expansion of 0 in z
14.020 * [backup-simplify]: Simplify 0 into 0
14.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.022 * [backup-simplify]: Simplify 0 into 0
14.027 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
14.029 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
14.029 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
14.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
14.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
14.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
14.029 * [taylor]: Taking taylor expansion of (pow x 2) in z
14.029 * [taylor]: Taking taylor expansion of x in z
14.029 * [backup-simplify]: Simplify x into x
14.029 * [backup-simplify]: Simplify (* x x) into (pow x 2)
14.029 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
14.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
14.029 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
14.029 * [taylor]: Taking taylor expansion of (pow z 2) in z
14.029 * [taylor]: Taking taylor expansion of z in z
14.029 * [backup-simplify]: Simplify 0 into 0
14.029 * [backup-simplify]: Simplify 1 into 1
14.030 * [backup-simplify]: Simplify (* 1 1) into 1
14.030 * [backup-simplify]: Simplify (/ 1 1) into 1
14.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
14.030 * [taylor]: Taking taylor expansion of (pow y 2) in z
14.030 * [taylor]: Taking taylor expansion of y in z
14.030 * [backup-simplify]: Simplify y into y
14.030 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
14.031 * [backup-simplify]: Simplify (+ 1 0) into 1
14.031 * [backup-simplify]: Simplify (+ 0 1) into 1
14.032 * [backup-simplify]: Simplify (sqrt 1) into 1
14.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.033 * [backup-simplify]: Simplify (+ 0 0) into 0
14.034 * [backup-simplify]: Simplify (+ 0 0) into 0
14.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
14.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
14.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
14.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
14.035 * [taylor]: Taking taylor expansion of x in y
14.035 * [backup-simplify]: Simplify x into x
14.035 * [backup-simplify]: Simplify (* x x) into (pow x 2)
14.035 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
14.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
14.035 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
14.035 * [taylor]: Taking taylor expansion of (pow z 2) in y
14.035 * [taylor]: Taking taylor expansion of z in y
14.035 * [backup-simplify]: Simplify z into z
14.035 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.035 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
14.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
14.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.035 * [taylor]: Taking taylor expansion of y in y
14.035 * [backup-simplify]: Simplify 0 into 0
14.035 * [backup-simplify]: Simplify 1 into 1
14.036 * [backup-simplify]: Simplify (* 1 1) into 1
14.036 * [backup-simplify]: Simplify (/ 1 1) into 1
14.037 * [backup-simplify]: Simplify (+ 0 1) into 1
14.037 * [backup-simplify]: Simplify (+ 0 1) into 1
14.038 * [backup-simplify]: Simplify (sqrt 1) into 1
14.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.039 * [backup-simplify]: Simplify (+ 0 0) into 0
14.039 * [backup-simplify]: Simplify (+ 0 0) into 0
14.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
14.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
14.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
14.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.040 * [taylor]: Taking taylor expansion of x in x
14.040 * [backup-simplify]: Simplify 0 into 0
14.040 * [backup-simplify]: Simplify 1 into 1
14.040 * [backup-simplify]: Simplify (* 1 1) into 1
14.041 * [backup-simplify]: Simplify (/ 1 1) into 1
14.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
14.041 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
14.041 * [taylor]: Taking taylor expansion of (pow z 2) in x
14.043 * [taylor]: Taking taylor expansion of z in x
14.043 * [backup-simplify]: Simplify z into z
14.043 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.043 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
14.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
14.043 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.043 * [taylor]: Taking taylor expansion of y in x
14.043 * [backup-simplify]: Simplify y into y
14.043 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
14.044 * [backup-simplify]: Simplify (+ 1 0) into 1
14.045 * [backup-simplify]: Simplify (sqrt 1) into 1
14.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.047 * [backup-simplify]: Simplify (+ 0 0) into 0
14.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
14.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
14.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
14.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.048 * [taylor]: Taking taylor expansion of x in x
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify 1 into 1
14.048 * [backup-simplify]: Simplify (* 1 1) into 1
14.049 * [backup-simplify]: Simplify (/ 1 1) into 1
14.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
14.049 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
14.049 * [taylor]: Taking taylor expansion of (pow z 2) in x
14.049 * [taylor]: Taking taylor expansion of z in x
14.049 * [backup-simplify]: Simplify z into z
14.049 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.050 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
14.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
14.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.050 * [taylor]: Taking taylor expansion of y in x
14.050 * [backup-simplify]: Simplify y into y
14.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
14.051 * [backup-simplify]: Simplify (+ 1 0) into 1
14.052 * [backup-simplify]: Simplify (sqrt 1) into 1
14.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.054 * [backup-simplify]: Simplify (+ 0 0) into 0
14.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.055 * [taylor]: Taking taylor expansion of 1 in y
14.055 * [backup-simplify]: Simplify 1 into 1
14.055 * [taylor]: Taking taylor expansion of 0 in y
14.055 * [backup-simplify]: Simplify 0 into 0
14.055 * [taylor]: Taking taylor expansion of 1 in z
14.056 * [backup-simplify]: Simplify 1 into 1
14.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.058 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
14.058 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
14.059 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
14.059 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
14.059 * [taylor]: Taking taylor expansion of 1/2 in y
14.059 * [backup-simplify]: Simplify 1/2 into 1/2
14.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
14.059 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
14.059 * [taylor]: Taking taylor expansion of (pow z 2) in y
14.059 * [taylor]: Taking taylor expansion of z in y
14.059 * [backup-simplify]: Simplify z into z
14.059 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.059 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
14.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
14.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.059 * [taylor]: Taking taylor expansion of y in y
14.060 * [backup-simplify]: Simplify 0 into 0
14.060 * [backup-simplify]: Simplify 1 into 1
14.060 * [backup-simplify]: Simplify (* 1 1) into 1
14.060 * [backup-simplify]: Simplify (/ 1 1) into 1
14.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.061 * [backup-simplify]: Simplify (+ 0 0) into 0
14.061 * [backup-simplify]: Simplify (+ 0 1) into 1
14.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.062 * [taylor]: Taking taylor expansion of 0 in z
14.062 * [backup-simplify]: Simplify 0 into 0
14.062 * [taylor]: Taking taylor expansion of 0 in z
14.062 * [backup-simplify]: Simplify 0 into 0
14.062 * [taylor]: Taking taylor expansion of 0 in z
14.062 * [backup-simplify]: Simplify 0 into 0
14.062 * [backup-simplify]: Simplify 1 into 1
14.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.068 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
14.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
14.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
14.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
14.070 * [backup-simplify]: Simplify (+ 0 0) into 0
14.070 * [backup-simplify]: Simplify (+ 0 0) into 0
14.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
14.071 * [taylor]: Taking taylor expansion of 0 in y
14.071 * [backup-simplify]: Simplify 0 into 0
14.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.079 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
14.079 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
14.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
14.079 * [taylor]: Taking taylor expansion of 1/2 in z
14.079 * [backup-simplify]: Simplify 1/2 into 1/2
14.079 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
14.079 * [taylor]: Taking taylor expansion of (pow z 2) in z
14.079 * [taylor]: Taking taylor expansion of z in z
14.079 * [backup-simplify]: Simplify 0 into 0
14.079 * [backup-simplify]: Simplify 1 into 1
14.080 * [backup-simplify]: Simplify (* 1 1) into 1
14.080 * [backup-simplify]: Simplify (/ 1 1) into 1
14.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [taylor]: Taking taylor expansion of 0 in z
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [taylor]: Taking taylor expansion of 0 in z
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [backup-simplify]: Simplify 0 into 0
14.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.084 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
14.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
14.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
14.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
14.085 * [backup-simplify]: Simplify (+ 0 0) into 0
14.085 * [backup-simplify]: Simplify (+ 0 0) into 0
14.086 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
14.086 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
14.086 * [taylor]: Taking taylor expansion of -1/2 in y
14.086 * [backup-simplify]: Simplify -1/2 into -1/2
14.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
14.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
14.087 * [taylor]: Taking taylor expansion of 1/4 in y
14.087 * [backup-simplify]: Simplify 1/4 into 1/4
14.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
14.087 * [taylor]: Taking taylor expansion of (pow z 4) in y
14.087 * [taylor]: Taking taylor expansion of z in y
14.087 * [backup-simplify]: Simplify z into z
14.087 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.087 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
14.087 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
14.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
14.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
14.087 * [taylor]: Taking taylor expansion of 1/2 in y
14.087 * [backup-simplify]: Simplify 1/2 into 1/2
14.087 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
14.087 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
14.087 * [taylor]: Taking taylor expansion of (pow z 2) in y
14.087 * [taylor]: Taking taylor expansion of z in y
14.088 * [backup-simplify]: Simplify z into z
14.088 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.088 * [taylor]: Taking taylor expansion of y in y
14.088 * [backup-simplify]: Simplify 0 into 0
14.088 * [backup-simplify]: Simplify 1 into 1
14.088 * [backup-simplify]: Simplify (* z z) into (pow z 2)
14.088 * [backup-simplify]: Simplify (* 1 1) into 1
14.088 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
14.089 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
14.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
14.089 * [taylor]: Taking taylor expansion of 1/4 in y
14.089 * [backup-simplify]: Simplify 1/4 into 1/4
14.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
14.089 * [taylor]: Taking taylor expansion of (pow y 4) in y
14.089 * [taylor]: Taking taylor expansion of y in y
14.089 * [backup-simplify]: Simplify 0 into 0
14.089 * [backup-simplify]: Simplify 1 into 1
14.089 * [backup-simplify]: Simplify (* 1 1) into 1
14.089 * [backup-simplify]: Simplify (* 1 1) into 1
14.090 * [backup-simplify]: Simplify (/ 1 1) into 1
14.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.091 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
14.091 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
14.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
14.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
14.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.103 * [backup-simplify]: Simplify (+ 0 0) into 0
14.103 * [backup-simplify]: Simplify (+ 0 0) into 0
14.103 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
14.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
14.106 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
14.106 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
14.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
14.107 * [backup-simplify]: Simplify (+ 0 0) into 0
14.107 * [backup-simplify]: Simplify (+ 0 0) into 0
14.108 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
14.108 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
14.109 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
14.110 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
14.110 * [taylor]: Taking taylor expansion of 0 in z
14.110 * [backup-simplify]: Simplify 0 into 0
14.110 * [taylor]: Taking taylor expansion of 0 in z
14.110 * [backup-simplify]: Simplify 0 into 0
14.110 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
14.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
14.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.112 * [backup-simplify]: Simplify (+ 0 0) into 0
14.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
14.114 * [taylor]: Taking taylor expansion of 0 in z
14.114 * [backup-simplify]: Simplify 0 into 0
14.114 * [taylor]: Taking taylor expansion of 0 in z
14.114 * [backup-simplify]: Simplify 0 into 0
14.114 * [taylor]: Taking taylor expansion of 0 in z
14.114 * [backup-simplify]: Simplify 0 into 0
14.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.117 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
14.121 * * * [progress]: simplifying candidates
14.204 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (* (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
14.212 * * [simplify]: iteration 0: 115 enodes
14.315 * * [simplify]: iteration 1: 238 enodes
14.451 * * [simplify]: iteration 2: 567 enodes
15.895 * * [simplify]: iteration 3: 1844 enodes
20.836 * * [simplify]: iteration complete: 5000 enodes
20.837 * * [simplify]: Extracting #0: cost 33 inf + 0
20.838 * * [simplify]: Extracting #1: cost 279 inf + 46
20.844 * * [simplify]: Extracting #2: cost 978 inf + 746
20.865 * * [simplify]: Extracting #3: cost 1378 inf + 18528
20.945 * * [simplify]: Extracting #4: cost 989 inf + 165801
21.101 * * [simplify]: Extracting #5: cost 489 inf + 316233
21.438 * * [simplify]: Extracting #6: cost 274 inf + 401650
21.802 * * [simplify]: Extracting #7: cost 56 inf + 500536
22.142 * * [simplify]: Extracting #8: cost 4 inf + 522801
22.761 * * [simplify]: Extracting #9: cost 0 inf + 524297
23.301 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (exp (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))))
  (fabs (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))
  (sqrt (- (* y y) (- (* z z) (* x x))))
  1/2
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (log (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (exp (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))))
  (fabs (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))
  (sqrt (- (* y y) (- (* z z) (* x x))))
  1/2
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y y) (+ (* z z) (* x x)))
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (* (+ (* y y) (+ (* z z) (* x x))) (+ (* y y) (+ (* z z) (* x x))))
  (+ (* y y) (+ (* z z) (* x x)))
  (* (+ (* y y) (+ (* z z) (* x x))) (+ (* y y) (+ (* z z) (* x x))))
  2
  (log (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (log (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (exp (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))))
  (+ (* y y) (+ (* z z) (* x x)))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (* (sqrt (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
  (* (sqrt (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))) (sqrt (sqrt (- (* y y) (- (* z z) (* x x))))))
  (* (sqrt (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
  (* (sqrt (sqrt (+ (* (* z z) (- (* z z) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))) (sqrt (sqrt (- (* y y) (- (* z z) (* x x))))))
  (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))
  (sqrt (- (* y y) (- (* z z) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (* (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))) (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (* (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (fabs (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (cbrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
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  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
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  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
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  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  1
  2
  1/2
  1
  1/2
  (* (* (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))) (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))) (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (fabs (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (+ (* z z) (* x x)))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (cbrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (* (sqrt (cbrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))) (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (* (sqrt (sqrt (cbrt (+ (* y y) (+ (* z z) (* x x)))))) (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x)))))))
  (sqrt (+ (* y y) (+ (* z z) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
  (* (sqrt (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  (* (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
  (* (sqrt (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* y y) (+ (* z z) (* x x))))))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
23.364 * * * [progress]: adding candidates to table
24.680 * * [progress]: iteration 3 / 4
24.680 * * * [progress]: picking best candidate
24.698 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
24.699 * * * [progress]: localizing error
24.704 * * * [progress]: generating rewritten candidates
24.704 * * * [progress]: generating series expansions
24.704 * * * [progress]: simplifying candidates
24.704 * [simplify]: Simplifying:
  
24.704 * * [simplify]: iteration 0: 0 enodes
24.704 * * [simplify]: iteration complete: 0 enodes
24.705 * * [simplify]: Extracting #0: cost 0 inf + 0
24.705 * [simplify]: Simplified to:
  
24.705 * * * [progress]: adding candidates to table
24.705 * * [progress]: iteration 4 / 4
24.706 * * * [progress]: picking best candidate
24.718 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
24.718 * * * [progress]: localizing error
24.720 * * * [progress]: generating rewritten candidates
24.721 * * * [progress]: generating series expansions
24.721 * * * [progress]: simplifying candidates
24.721 * [simplify]: Simplifying:
  
24.721 * * [simplify]: iteration 0: 0 enodes
24.721 * * [simplify]: iteration complete: 0 enodes
24.721 * * [simplify]: Extracting #0: cost 0 inf + 0
24.721 * [simplify]: Simplified to:
  
24.721 * * * [progress]: adding candidates to table
24.722 * [progress]: [Phase 3 of 3] Extracting.
24.722 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
24.724 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
24.724 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
25.050 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) x)>)
25.195 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
25.394 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
25.488 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) z)>)
25.734 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
25.998 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) z)>)
26.224 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
26.461 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>)
26.526 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
26.620 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>)
26.686 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
26.821 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
27.001 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
27.318 * * * [regime]: Found split indices: #<option (#s(si 2 52) #s(si 0 205) #s(si 4 255))>
27.334 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
27.731 * [regimes]: Found splitpoints: (#s(sp 2 x -2.114597052343944e+96) #s(sp 0 x 9.445373192608024e+93) #s(sp 4 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)>)
27.732 * [simplify]: Simplifying:
  (if (<= x -2.114597052343944e+96) (- x) (if (<= x 9.445373192608024e+93) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
27.732 * * [simplify]: iteration 0: 16 enodes
27.734 * * [simplify]: iteration 1: 18 enodes
27.735 * * [simplify]: iteration complete: 18 enodes
27.735 * * [simplify]: Extracting #0: cost 1 inf + 0
27.735 * * [simplify]: Extracting #1: cost 4 inf + 0
27.735 * * [simplify]: Extracting #2: cost 8 inf + 0
27.735 * * [simplify]: Extracting #3: cost 7 inf + 69
27.735 * * [simplify]: Extracting #4: cost 6 inf + 178
27.736 * * [simplify]: Extracting #5: cost 9 inf + 178
27.736 * * [simplify]: Extracting #6: cost 7 inf + 261
27.736 * * [simplify]: Extracting #7: cost 6 inf + 262
27.736 * * [simplify]: Extracting #8: cost 4 inf + 425
27.736 * * [simplify]: Extracting #9: cost 2 inf + 871
27.737 * * [simplify]: Extracting #10: cost 0 inf + 1790
27.737 * [simplify]: Simplified to:
  (if (<= x -2.114597052343944e+96) (- x) (if (<= x 9.445373192608024e+93) (sqrt (+ (+ (* y y) (* x x)) (* z z))) x))
31.633 * [regime-testing]: Baseline error score: 37.66213250337809
31.650 * [regime-testing]: Oracle error score: 18.37009176653086
31.681 * [regime-testing]: End program error score: 25.343067405131475
31.974 * [regime-testing]: Target error score: 25.801741574141946