63.216 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.038 * * * [progress]: [2/2] Setting up program.
0.043 * [progress]: [Phase 2 of 3] Improving.
0.043 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.043 * * [simplify]: Extracting # 0 : cost  0
0.043 * * [simplify]: Extracting # 1 : cost  0
0.043 * * [simplify]: Extracting # 2 : cost  0
0.043 * * [simplify]: Extracting # 3 : cost  0
0.043 * * [simplify]: Extracting # 4 : cost  0
0.043 * * [simplify]: Extracting # 5 : cost  0
0.043 * * [simplify]: Extracting # 6 : cost  0
0.043 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.047 * * [simplify]: Extracting # 0 : cost  0
0.047 * * [simplify]: Extracting # 1 : cost  0
0.047 * * [simplify]: Extracting # 2 : cost  0
0.047 * * [simplify]: iteration  1 :  14  enodes  (cost  11 )
0.052 * * [simplify]: Extracting # 0 : cost  0
0.053 * * [simplify]: Extracting # 1 : cost  0
0.053 * * [simplify]: Extracting # 2 : cost  0
0.053 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.062 * * [simplify]: Extracting # 0 : cost  0
0.062 * * [simplify]: Extracting # 1 : cost  0
0.062 * * [simplify]: iteration  3 :  30  enodes  (cost  10 )
0.072 * * [simplify]: Extracting # 0 : cost  0
0.072 * * [simplify]: iteration done:  30  enodes  (cost  10 )
0.072 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.079 * * [progress]: iteration 1 / 4
0.080 * * * [progress]: picking best candidate
0.084 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.084 * * * [progress]: localizing error
0.105 * * * [progress]: generating rewritten candidates
0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.195 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.214 * * * [progress]: generating series expansions
0.214 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.214 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.214 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.215 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.215 * [taylor]: Taking taylor expansion of x in z
0.215 * [backup-simplify]: Simplify x into x
0.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.215 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.215 * [taylor]: Taking taylor expansion of y in z
0.215 * [backup-simplify]: Simplify y into y
0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.215 * [taylor]: Taking taylor expansion of z in z
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.215 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.216 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.216 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.216 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.216 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.218 * [taylor]: Taking taylor expansion of x in y
0.218 * [backup-simplify]: Simplify x into x
0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.218 * [taylor]: Taking taylor expansion of y in y
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.219 * [taylor]: Taking taylor expansion of z in y
0.219 * [backup-simplify]: Simplify z into z
0.219 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.219 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.219 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.219 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.220 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.220 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.220 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.222 * [taylor]: Taking taylor expansion of x in x
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.222 * [taylor]: Taking taylor expansion of y in x
0.222 * [backup-simplify]: Simplify y into y
0.222 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.222 * [taylor]: Taking taylor expansion of z in x
0.222 * [backup-simplify]: Simplify z into z
0.222 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.222 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.223 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.223 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.223 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.223 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.226 * [taylor]: Taking taylor expansion of y in x
0.226 * [backup-simplify]: Simplify y into y
0.226 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.226 * [taylor]: Taking taylor expansion of z in x
0.226 * [backup-simplify]: Simplify z into z
0.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.226 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.226 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.227 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.227 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.227 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.230 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.230 * [taylor]: Taking taylor expansion of y in y
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.230 * [taylor]: Taking taylor expansion of z in y
0.230 * [backup-simplify]: Simplify z into z
0.230 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.230 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.231 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.231 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.232 * [taylor]: Taking taylor expansion of z in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in y
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.234 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.237 * [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)))))
0.237 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.237 * [taylor]: Taking taylor expansion of 1/2 in y
0.237 * [backup-simplify]: Simplify 1/2 into 1/2
0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.237 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.237 * [taylor]: Taking taylor expansion of y in y
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.237 * [taylor]: Taking taylor expansion of z in y
0.237 * [backup-simplify]: Simplify z into z
0.237 * [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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.238 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.238 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.240 * [taylor]: Taking taylor expansion of 1/2 in z
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of z in z
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [taylor]: Taking taylor expansion of 0 in z
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.244 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.245 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.245 * [taylor]: Taking taylor expansion of 1/2 in z
0.245 * [backup-simplify]: Simplify 1/2 into 1/2
0.245 * [taylor]: Taking taylor expansion of z in z
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.249 * [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)))))
0.249 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.249 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.249 * [taylor]: Taking taylor expansion of x in z
0.249 * [backup-simplify]: Simplify x into x
0.249 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.249 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.249 * [taylor]: Taking taylor expansion of z in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.251 * [taylor]: Taking taylor expansion of y in z
0.251 * [backup-simplify]: Simplify y into y
0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.257 * [taylor]: Taking taylor expansion of x in y
0.257 * [backup-simplify]: Simplify x into x
0.257 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.257 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.257 * [taylor]: Taking taylor expansion of z in y
0.258 * [backup-simplify]: Simplify z into z
0.258 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.258 * [taylor]: Taking taylor expansion of y in y
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [backup-simplify]: Simplify (+ 0 1) into 1
0.260 * [backup-simplify]: Simplify (+ 0 1) into 1
0.261 * [backup-simplify]: Simplify (sqrt 1) into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.266 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.266 * [taylor]: Taking taylor expansion of z in x
0.266 * [backup-simplify]: Simplify z into z
0.266 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.266 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.266 * [taylor]: Taking taylor expansion of y in x
0.266 * [backup-simplify]: Simplify y into y
0.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.267 * [backup-simplify]: Simplify (+ 1 0) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [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
0.272 * [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
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of 1 in y
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 1 in z
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.284 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.286 * [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))))
0.286 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.286 * [taylor]: Taking taylor expansion of 1/2 in y
0.286 * [backup-simplify]: Simplify 1/2 into 1/2
0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.286 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.286 * [taylor]: Taking taylor expansion of z in y
0.286 * [backup-simplify]: Simplify z into z
0.286 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.286 * [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
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.299 * [taylor]: Taking taylor expansion of 0 in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.303 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.303 * [taylor]: Taking taylor expansion of 1/2 in z
0.303 * [backup-simplify]: Simplify 1/2 into 1/2
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.304 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.304 * [taylor]: Taking taylor expansion of z in z
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [taylor]: Taking taylor expansion of 0 in z
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in z
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [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))))))
0.316 * [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
0.316 * [taylor]: Taking taylor expansion of -1/2 in y
0.316 * [backup-simplify]: Simplify -1/2 into -1/2
0.316 * [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
0.316 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.316 * [taylor]: Taking taylor expansion of 1/4 in y
0.316 * [backup-simplify]: Simplify 1/4 into 1/4
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.317 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.317 * [taylor]: Taking taylor expansion of z in y
0.317 * [backup-simplify]: Simplify z into z
0.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.317 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.317 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.317 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.317 * [taylor]: Taking taylor expansion of 1/2 in y
0.317 * [backup-simplify]: Simplify 1/2 into 1/2
0.317 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.317 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.317 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.317 * [taylor]: Taking taylor expansion of z in y
0.317 * [backup-simplify]: Simplify z into z
0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.317 * [taylor]: Taking taylor expansion of y in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.319 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.319 * [taylor]: Taking taylor expansion of 1/4 in y
0.319 * [backup-simplify]: Simplify 1/4 into 1/4
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.319 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.319 * [taylor]: Taking taylor expansion of y in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.322 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.338 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.341 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.342 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.344 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in z
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [taylor]: Taking taylor expansion of 0 in z
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.350 * [taylor]: Taking taylor expansion of 0 in z
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [taylor]: Taking taylor expansion of 0 in z
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [taylor]: Taking taylor expansion of 0 in z
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [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)
0.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.356 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.356 * [taylor]: Taking taylor expansion of z in z
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.357 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.357 * [taylor]: Taking taylor expansion of y in z
0.357 * [backup-simplify]: Simplify y into y
0.358 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.358 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (+ 0 1) into 1
0.366 * [backup-simplify]: Simplify (sqrt 1) into 1
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.370 * [taylor]: Taking taylor expansion of x in y
0.370 * [backup-simplify]: Simplify x into x
0.370 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.370 * [taylor]: Taking taylor expansion of z in y
0.370 * [backup-simplify]: Simplify z into z
0.370 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.370 * [taylor]: Taking taylor expansion of y in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (+ 0 1) into 1
0.372 * [backup-simplify]: Simplify (+ 0 1) into 1
0.372 * [backup-simplify]: Simplify (sqrt 1) into 1
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.374 * [taylor]: Taking taylor expansion of x in x
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.375 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.375 * [taylor]: Taking taylor expansion of z in x
0.375 * [backup-simplify]: Simplify z into z
0.375 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.375 * [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)
0.376 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.376 * [backup-simplify]: Simplify (+ 1 0) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.378 * [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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.379 * [taylor]: Taking taylor expansion of z in x
0.379 * [backup-simplify]: Simplify z into z
0.379 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.379 * [taylor]: Taking taylor expansion of y in x
0.379 * [backup-simplify]: Simplify y into y
0.379 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.380 * [backup-simplify]: Simplify (+ 1 0) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.382 * [taylor]: Taking taylor expansion of 1 in y
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [taylor]: Taking taylor expansion of 0 in y
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [taylor]: Taking taylor expansion of 1 in z
0.382 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.384 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.385 * [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))))
0.385 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.386 * [taylor]: Taking taylor expansion of 1/2 in y
0.386 * [backup-simplify]: Simplify 1/2 into 1/2
0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.386 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.386 * [taylor]: Taking taylor expansion of z in y
0.386 * [backup-simplify]: Simplify z into z
0.386 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.386 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.386 * [taylor]: Taking taylor expansion of y in y
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 1) into 1
0.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.390 * [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
0.391 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.393 * [taylor]: Taking taylor expansion of 0 in y
0.393 * [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
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [taylor]: Taking taylor expansion of 0 in z
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [taylor]: Taking taylor expansion of 0 in z
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [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))))))
0.404 * [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
0.404 * [taylor]: Taking taylor expansion of -1/2 in y
0.404 * [backup-simplify]: Simplify -1/2 into -1/2
0.404 * [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
0.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.404 * [taylor]: Taking taylor expansion of 1/4 in y
0.405 * [backup-simplify]: Simplify 1/4 into 1/4
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.405 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.405 * [taylor]: Taking taylor expansion of z in y
0.405 * [backup-simplify]: Simplify z into z
0.405 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.405 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.405 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.405 * [taylor]: Taking taylor expansion of (+ (* 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 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.405 * [taylor]: Taking taylor expansion of 1/2 in y
0.405 * [backup-simplify]: Simplify 1/2 into 1/2
0.405 * [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
0.406 * [backup-simplify]: Simplify z into z
0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.406 * [taylor]: Taking taylor expansion of y in y
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [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
0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.407 * [taylor]: Taking taylor expansion of (pow y 4) 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
0.408 * [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
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.411 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.414 * [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) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.428 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.428 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.432 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.432 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.434 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.434 * [taylor]: Taking taylor expansion of 0 in z
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [taylor]: Taking taylor expansion of 0 in z
0.434 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in z
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [taylor]: Taking taylor expansion of 0 in z
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [taylor]: Taking taylor expansion of 0 in z
0.440 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.445 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.445 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.445 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.445 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.445 * [taylor]: Taking taylor expansion of x in y
0.445 * [backup-simplify]: Simplify x into x
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.445 * [taylor]: Taking taylor expansion of y in y
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.446 * [taylor]: Taking taylor expansion of y in x
0.446 * [backup-simplify]: Simplify y into y
0.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.446 * [taylor]: Taking taylor expansion of x in x
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.446 * [taylor]: Taking taylor expansion of y in x
0.446 * [backup-simplify]: Simplify y into y
0.446 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.446 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.446 * [taylor]: Taking taylor expansion of y in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [taylor]: Taking taylor expansion of 0 in y
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.450 * [backup-simplify]: Simplify (+ 1 0) into 1
0.450 * [taylor]: Taking taylor expansion of 1 in y
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [taylor]: Taking taylor expansion of 0 in y
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [taylor]: Taking taylor expansion of 0 in y
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.459 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.460 * [taylor]: Taking taylor expansion of x in y
0.460 * [backup-simplify]: Simplify x into x
0.460 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.462 * [taylor]: Taking taylor expansion of x in x
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.463 * [taylor]: Taking taylor expansion of y in x
0.463 * [backup-simplify]: Simplify y into y
0.463 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.463 * [taylor]: Taking taylor expansion of x in x
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.465 * [taylor]: Taking taylor expansion of y in x
0.465 * [backup-simplify]: Simplify y into y
0.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.466 * [backup-simplify]: Simplify (+ 1 0) into 1
0.466 * [taylor]: Taking taylor expansion of 1 in y
0.466 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [taylor]: Taking taylor expansion of 0 in y
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.472 * [taylor]: Taking taylor expansion of y in y
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [taylor]: Taking taylor expansion of 0 in y
0.477 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [taylor]: Taking taylor expansion of 0 in y
0.485 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.489 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.489 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.489 * [taylor]: Taking taylor expansion of x in y
0.489 * [backup-simplify]: Simplify x into x
0.489 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.489 * [taylor]: Taking taylor expansion of y in y
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.491 * [taylor]: Taking taylor expansion of x in x
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.492 * [taylor]: Taking taylor expansion of y in x
0.492 * [backup-simplify]: Simplify y into y
0.492 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.493 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.493 * [taylor]: Taking taylor expansion of x in x
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.494 * [taylor]: Taking taylor expansion of y in x
0.494 * [backup-simplify]: Simplify y into y
0.494 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.495 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [taylor]: Taking taylor expansion of 1 in y
0.495 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [taylor]: Taking taylor expansion of 0 in y
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.501 * [taylor]: Taking taylor expansion of y in y
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [taylor]: Taking taylor expansion of 0 in y
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [taylor]: Taking taylor expansion of 0 in y
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.517 * * * [progress]: simplifying candidates
0.518 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (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))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.520 * * [simplify]: Extracting # 0 : cost  0
0.520 * * [simplify]: Extracting # 1 : cost  0
0.520 * * [simplify]: Extracting # 2 : cost  0
0.521 * * [simplify]: Extracting # 3 : cost  0
0.521 * * [simplify]: Extracting # 4 : cost  0
0.521 * * [simplify]: Extracting # 5 : cost  0
0.521 * * [simplify]: Extracting # 6 : cost  0
0.521 * * [simplify]: iteration  0 :  67  enodes  (cost  513 )
0.544 * * [simplify]: Extracting # 0 : cost  0
0.544 * * [simplify]: Extracting # 1 : cost  0
0.544 * * [simplify]: Extracting # 2 : cost  0
0.545 * * [simplify]: Extracting # 3 : cost  0
0.545 * * [simplify]: Extracting # 4 : cost  0
0.545 * * [simplify]: iteration  1 :  185  enodes  (cost  411 )
0.616 * * [simplify]: Extracting # 0 : cost  0
0.617 * * [simplify]: Extracting # 1 : cost  0
0.618 * * [simplify]: Extracting # 2 : cost  0
0.618 * * [simplify]: Extracting # 3 : cost  0
0.619 * * [simplify]: Extracting # 4 : cost  0
0.619 * * [simplify]: iteration  2 :  571  enodes  (cost  367 )
0.917 * * [simplify]: Extracting # 0 : cost  0
0.921 * * [simplify]: Extracting # 1 : cost  0
0.924 * * [simplify]: Extracting # 2 : cost  0
0.928 * * [simplify]: Extracting # 3 : cost  0
0.931 * * [simplify]: Extracting # 4 : cost  0
0.935 * * [simplify]: iteration  3 :  1672  enodes  (cost  359 )
2.140 * * [simplify]: Extracting # 0 : cost  0
2.151 * * [simplify]: Extracting # 1 : cost  0
2.171 * * [simplify]: Extracting # 2 : cost  0
2.183 * * [simplify]: Extracting # 3 : cost  0
2.194 * * [simplify]: Extracting # 4 : cost  0
2.205 * * [simplify]: iteration done:  5000  enodes  (cost  358 )
2.206 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (fma z z (fma x x (* y y))))
  (hypot (pow (fma x x (* y y)) 3/2) (pow z 3))
  (sqrt (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4)))
  (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)))
  (sqrt (- (fma x x (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (+ (pow y 6) (pow x 6))
  (fma (* y y) (- (* y y) (* x x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  z
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
2.206 * * * [progress]: adding candidates to table
2.369 * * [progress]: iteration 2 / 4
2.369 * * * [progress]: picking best candidate
2.375 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
2.375 * * * [progress]: localizing error
2.384 * * * [progress]: generating rewritten candidates
2.384 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
2.393 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
2.407 * * * [progress]: generating series expansions
2.407 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
2.408 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.408 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.408 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.408 * [taylor]: Taking taylor expansion of x in y
2.408 * [backup-simplify]: Simplify x into x
2.408 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.408 * [taylor]: Taking taylor expansion of y in y
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.408 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.408 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.408 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.409 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.410 * [taylor]: Taking taylor expansion of x in x
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.410 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.410 * [taylor]: Taking taylor expansion of y in x
2.410 * [backup-simplify]: Simplify y into y
2.410 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.410 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.410 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.410 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.411 * [backup-simplify]: Simplify (+ 0 0) into 0
2.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.411 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.411 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.411 * [taylor]: Taking taylor expansion of x in x
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.411 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.411 * [taylor]: Taking taylor expansion of y in x
2.411 * [backup-simplify]: Simplify y into y
2.411 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.412 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.412 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.412 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.412 * [backup-simplify]: Simplify (+ 0 0) into 0
2.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.413 * [taylor]: Taking taylor expansion of y in y
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [taylor]: Taking taylor expansion of 0 in y
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (* 1 1) into 1
2.414 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.414 * [backup-simplify]: Simplify (+ 1 0) into 1
2.415 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.415 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.415 * [taylor]: Taking taylor expansion of 1/2 in y
2.415 * [backup-simplify]: Simplify 1/2 into 1/2
2.415 * [taylor]: Taking taylor expansion of y in y
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.417 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.417 * [backup-simplify]: Simplify (+ 0 0) into 0
2.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.417 * [taylor]: Taking taylor expansion of 0 in y
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.418 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.418 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.418 * [taylor]: Taking taylor expansion of x in y
2.418 * [backup-simplify]: Simplify x into x
2.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.418 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.418 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.418 * [taylor]: Taking taylor expansion of y in y
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (* 1 1) into 1
2.419 * [backup-simplify]: Simplify (/ 1 1) into 1
2.419 * [backup-simplify]: Simplify (+ 0 1) into 1
2.420 * [backup-simplify]: Simplify (sqrt 1) into 1
2.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.421 * [taylor]: Taking taylor expansion of x in x
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (* 1 1) into 1
2.422 * [backup-simplify]: Simplify (/ 1 1) into 1
2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.422 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.422 * [taylor]: Taking taylor expansion of y in x
2.422 * [backup-simplify]: Simplify y into y
2.422 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.423 * [backup-simplify]: Simplify (+ 1 0) into 1
2.423 * [backup-simplify]: Simplify (sqrt 1) into 1
2.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ 0 0) into 0
2.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.425 * [taylor]: Taking taylor expansion of x in x
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.425 * [backup-simplify]: Simplify (* 1 1) into 1
2.425 * [backup-simplify]: Simplify (/ 1 1) into 1
2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.426 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.426 * [taylor]: Taking taylor expansion of y in x
2.426 * [backup-simplify]: Simplify y into y
2.426 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.426 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.426 * [backup-simplify]: Simplify (+ 1 0) into 1
2.426 * [backup-simplify]: Simplify (sqrt 1) into 1
2.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (+ 0 0) into 0
2.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.428 * [taylor]: Taking taylor expansion of 1 in y
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of 0 in y
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.437 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.437 * [taylor]: Taking taylor expansion of 1/2 in y
2.437 * [backup-simplify]: Simplify 1/2 into 1/2
2.437 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.437 * [taylor]: Taking taylor expansion of y in y
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (* 1 1) into 1
2.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.441 * [backup-simplify]: Simplify (+ 0 0) into 0
2.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.441 * [taylor]: Taking taylor expansion of 0 in y
2.441 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.443 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.443 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.443 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.443 * [taylor]: Taking taylor expansion of x in y
2.443 * [backup-simplify]: Simplify x into x
2.443 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.443 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.443 * [taylor]: Taking taylor expansion of y in y
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (* 1 1) into 1
2.444 * [backup-simplify]: Simplify (/ 1 1) into 1
2.444 * [backup-simplify]: Simplify (+ 0 1) into 1
2.445 * [backup-simplify]: Simplify (sqrt 1) into 1
2.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (+ 0 0) into 0
2.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.446 * [taylor]: Taking taylor expansion of x in x
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.447 * [backup-simplify]: Simplify (* 1 1) into 1
2.447 * [backup-simplify]: Simplify (/ 1 1) into 1
2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.447 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.447 * [taylor]: Taking taylor expansion of y in x
2.447 * [backup-simplify]: Simplify y into y
2.447 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.447 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.447 * [backup-simplify]: Simplify (+ 1 0) into 1
2.448 * [backup-simplify]: Simplify (sqrt 1) into 1
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.449 * [backup-simplify]: Simplify (+ 0 0) into 0
2.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.449 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.449 * [taylor]: Taking taylor expansion of x in x
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.450 * [backup-simplify]: Simplify (* 1 1) into 1
2.450 * [backup-simplify]: Simplify (/ 1 1) into 1
2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.450 * [taylor]: Taking taylor expansion of y in x
2.450 * [backup-simplify]: Simplify y into y
2.450 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.451 * [backup-simplify]: Simplify (+ 1 0) into 1
2.452 * [backup-simplify]: Simplify (sqrt 1) into 1
2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.453 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.454 * [taylor]: Taking taylor expansion of 1 in y
2.454 * [backup-simplify]: Simplify 1 into 1
2.454 * [taylor]: Taking taylor expansion of 0 in y
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.458 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.458 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.458 * [taylor]: Taking taylor expansion of 1/2 in y
2.459 * [backup-simplify]: Simplify 1/2 into 1/2
2.459 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.459 * [taylor]: Taking taylor expansion of y in y
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (* 1 1) into 1
2.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.465 * [taylor]: Taking taylor expansion of 0 in y
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.468 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
2.468 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.468 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.468 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.468 * [taylor]: Taking taylor expansion of x in y
2.468 * [backup-simplify]: Simplify x into x
2.468 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.469 * [taylor]: Taking taylor expansion of y in y
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.469 * [taylor]: Taking taylor expansion of x in x
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.469 * [taylor]: Taking taylor expansion of y in x
2.469 * [backup-simplify]: Simplify y into y
2.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.469 * [taylor]: Taking taylor expansion of x in x
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.469 * [taylor]: Taking taylor expansion of y in x
2.469 * [backup-simplify]: Simplify y into y
2.469 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.469 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.469 * [taylor]: Taking taylor expansion of y in y
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.470 * [taylor]: Taking taylor expansion of 0 in y
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify (* 1 1) into 1
2.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.472 * [backup-simplify]: Simplify (+ 1 0) into 1
2.472 * [taylor]: Taking taylor expansion of 1 in y
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (* 1 1) into 1
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.475 * [backup-simplify]: Simplify (+ 0 0) into 0
2.475 * [taylor]: Taking taylor expansion of 0 in y
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.478 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.479 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.479 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.479 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.479 * [taylor]: Taking taylor expansion of x in y
2.479 * [backup-simplify]: Simplify x into x
2.479 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.480 * [taylor]: Taking taylor expansion of y in y
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (* 1 1) into 1
2.481 * [backup-simplify]: Simplify (/ 1 1) into 1
2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.481 * [taylor]: Taking taylor expansion of x in x
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (* 1 1) into 1
2.482 * [backup-simplify]: Simplify (/ 1 1) into 1
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.482 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.482 * [taylor]: Taking taylor expansion of y in x
2.482 * [backup-simplify]: Simplify y into y
2.482 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.483 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.483 * [taylor]: Taking taylor expansion of x in x
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.484 * [backup-simplify]: Simplify (/ 1 1) into 1
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.484 * [taylor]: Taking taylor expansion of y in x
2.484 * [backup-simplify]: Simplify y into y
2.484 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.485 * [backup-simplify]: Simplify (+ 1 0) into 1
2.485 * [taylor]: Taking taylor expansion of 1 in y
2.485 * [backup-simplify]: Simplify 1 into 1
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.488 * [taylor]: Taking taylor expansion of 0 in y
2.488 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.491 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.491 * [taylor]: Taking taylor expansion of y in y
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (* 1 1) into 1
2.492 * [backup-simplify]: Simplify (/ 1 1) into 1
2.492 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [taylor]: Taking taylor expansion of 0 in y
2.496 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [taylor]: Taking taylor expansion of 0 in y
2.504 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.508 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.508 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.508 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.508 * [taylor]: Taking taylor expansion of x in y
2.508 * [backup-simplify]: Simplify x into x
2.508 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.508 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.508 * [taylor]: Taking taylor expansion of y in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.510 * [taylor]: Taking taylor expansion of x in x
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (* 1 1) into 1
2.511 * [backup-simplify]: Simplify (/ 1 1) into 1
2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.511 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.511 * [taylor]: Taking taylor expansion of y in x
2.511 * [backup-simplify]: Simplify y into y
2.511 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.512 * [taylor]: Taking taylor expansion of x in x
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (* 1 1) into 1
2.513 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.513 * [taylor]: Taking taylor expansion of y in x
2.513 * [backup-simplify]: Simplify y into y
2.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.514 * [backup-simplify]: Simplify (+ 1 0) into 1
2.514 * [taylor]: Taking taylor expansion of 1 in y
2.514 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [taylor]: Taking taylor expansion of 0 in y
2.517 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.520 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.520 * [taylor]: Taking taylor expansion of y in y
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.521 * [backup-simplify]: Simplify (* 1 1) into 1
2.521 * [backup-simplify]: Simplify (/ 1 1) into 1
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in y
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.533 * [taylor]: Taking taylor expansion of 0 in y
2.533 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.536 * * * [progress]: simplifying candidates
2.537 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.538 * * [simplify]: Extracting # 0 : cost  0
2.538 * * [simplify]: Extracting # 1 : cost  0
2.538 * * [simplify]: Extracting # 2 : cost  0
2.538 * * [simplify]: Extracting # 3 : cost  0
2.538 * * [simplify]: Extracting # 4 : cost  0
2.538 * * [simplify]: Extracting # 5 : cost  0
2.539 * * [simplify]: iteration  0 :  52  enodes  (cost  413 )
2.551 * * [simplify]: Extracting # 0 : cost  0
2.551 * * [simplify]: Extracting # 1 : cost  0
2.551 * * [simplify]: Extracting # 2 : cost  0
2.551 * * [simplify]: Extracting # 3 : cost  0
2.551 * * [simplify]: Extracting # 4 : cost  0
2.552 * * [simplify]: iteration  1 :  134  enodes  (cost  285 )
2.611 * * [simplify]: Extracting # 0 : cost  0
2.612 * * [simplify]: Extracting # 1 : cost  0
2.612 * * [simplify]: Extracting # 2 : cost  0
2.613 * * [simplify]: Extracting # 3 : cost  0
2.613 * * [simplify]: Extracting # 4 : cost  0
2.613 * * [simplify]: iteration  2 :  396  enodes  (cost  237 )
2.857 * * [simplify]: Extracting # 0 : cost  0
2.860 * * [simplify]: Extracting # 1 : cost  0
2.862 * * [simplify]: Extracting # 2 : cost  0
2.865 * * [simplify]: Extracting # 3 : cost  0
2.867 * * [simplify]: Extracting # 4 : cost  0
2.870 * * [simplify]: iteration  3 :  1156  enodes  (cost  233 )
4.421 * * [simplify]: Extracting # 0 : cost  0
4.430 * * [simplify]: Extracting # 1 : cost  0
4.436 * * [simplify]: Extracting # 2 : cost  0
4.443 * * [simplify]: Extracting # 3 : cost  0
4.450 * * [simplify]: Extracting # 4 : cost  0
4.456 * * [simplify]: iteration  4 :  3429  enodes  (cost  233 )
5.736 * * [simplify]: Extracting # 0 : cost  0
5.742 * * [simplify]: Extracting # 1 : cost  0
5.747 * * [simplify]: Extracting # 2 : cost  0
5.758 * * [simplify]: Extracting # 3 : cost  0
5.764 * * [simplify]: iteration done:  5000  enodes  (cost  233 )
5.764 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (fabs (cbrt (fma x x (* y y))))
  (sqrt (cbrt (fma x x (* y y))))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (hypot (pow y 3) (pow x 3))
  (sqrt (fma (* y y) (- (* y y) (* x x)) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* 2 (log (hypot x y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (hypot x y) 6)
  (hypot x y)
  (hypot x y)
  (+ (pow x 6) (pow y 6))
  (fma (* y y) (- (* y y) (* x x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
5.764 * * * [progress]: adding candidates to table
5.928 * * [progress]: iteration 3 / 4
5.929 * * * [progress]: picking best candidate
5.934 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (hypot x y) z))>
5.934 * * * [progress]: localizing error
5.940 * * * [progress]: generating rewritten candidates
5.940 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
5.941 * * * [progress]: generating series expansions
5.941 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
5.941 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
5.941 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
5.941 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.941 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.941 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.941 * [taylor]: Taking taylor expansion of (* x x) in y
5.941 * [taylor]: Taking taylor expansion of x in y
5.941 * [backup-simplify]: Simplify x into x
5.941 * [taylor]: Taking taylor expansion of x in y
5.941 * [backup-simplify]: Simplify x into x
5.941 * [taylor]: Taking taylor expansion of (* y y) in y
5.941 * [taylor]: Taking taylor expansion of y in y
5.941 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify 1 into 1
5.941 * [taylor]: Taking taylor expansion of y in y
5.941 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify 1 into 1
5.941 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.942 * [backup-simplify]: Simplify (* 0 0) into 0
5.942 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.942 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.942 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.943 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.943 * [backup-simplify]: Simplify (+ 0 0) into 0
5.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.944 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.944 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.944 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.944 * [taylor]: Taking taylor expansion of (* x x) in x
5.944 * [taylor]: Taking taylor expansion of x in x
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 1 into 1
5.944 * [taylor]: Taking taylor expansion of x in x
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 1 into 1
5.944 * [taylor]: Taking taylor expansion of (* y y) in x
5.944 * [taylor]: Taking taylor expansion of y in x
5.944 * [backup-simplify]: Simplify y into y
5.944 * [taylor]: Taking taylor expansion of y in x
5.944 * [backup-simplify]: Simplify y into y
5.944 * [backup-simplify]: Simplify (* 0 0) into 0
5.944 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.945 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.945 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.946 * [backup-simplify]: Simplify (+ 0 0) into 0
5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.946 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.946 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.946 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.946 * [taylor]: Taking taylor expansion of (* x x) in x
5.946 * [taylor]: Taking taylor expansion of x in x
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [taylor]: Taking taylor expansion of x in x
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [taylor]: Taking taylor expansion of (* y y) in x
5.946 * [taylor]: Taking taylor expansion of y in x
5.946 * [backup-simplify]: Simplify y into y
5.946 * [taylor]: Taking taylor expansion of y in x
5.946 * [backup-simplify]: Simplify y into y
5.947 * [backup-simplify]: Simplify (* 0 0) into 0
5.947 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.947 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.947 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.947 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.948 * [backup-simplify]: Simplify (+ 0 0) into 0
5.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.948 * [taylor]: Taking taylor expansion of y in y
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify 1 into 1
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [taylor]: Taking taylor expansion of 0 in y
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify 1 into 1
5.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.949 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.949 * [backup-simplify]: Simplify (+ 1 0) into 1
5.950 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.950 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.950 * [taylor]: Taking taylor expansion of 1/2 in y
5.950 * [backup-simplify]: Simplify 1/2 into 1/2
5.950 * [taylor]: Taking taylor expansion of y in y
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 1 into 1
5.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.953 * [backup-simplify]: Simplify (+ 0 0) into 0
5.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.953 * [taylor]: Taking taylor expansion of 0 in y
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.954 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
5.954 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
5.954 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.954 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.955 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.955 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.955 * [taylor]: Taking taylor expansion of x in y
5.955 * [backup-simplify]: Simplify x into x
5.955 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.955 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.955 * [taylor]: Taking taylor expansion of x in y
5.955 * [backup-simplify]: Simplify x into x
5.955 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.955 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.955 * [taylor]: Taking taylor expansion of y in y
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.955 * [backup-simplify]: Simplify (/ 1 1) into 1
5.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.955 * [taylor]: Taking taylor expansion of y in y
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.956 * [backup-simplify]: Simplify (/ 1 1) into 1
5.956 * [backup-simplify]: Simplify (* 1 1) into 1
5.956 * [backup-simplify]: Simplify (+ 0 1) into 1
5.957 * [backup-simplify]: Simplify (sqrt 1) into 1
5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.959 * [backup-simplify]: Simplify (+ 0 0) into 0
5.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.959 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.959 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.959 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.959 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.959 * [taylor]: Taking taylor expansion of x in x
5.959 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (/ 1 1) into 1
5.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.960 * [taylor]: Taking taylor expansion of x in x
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (/ 1 1) into 1
5.960 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.960 * [taylor]: Taking taylor expansion of y in x
5.960 * [backup-simplify]: Simplify y into y
5.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.960 * [taylor]: Taking taylor expansion of y in x
5.960 * [backup-simplify]: Simplify y into y
5.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.961 * [backup-simplify]: Simplify (* 1 1) into 1
5.961 * [backup-simplify]: Simplify (+ 1 0) into 1
5.961 * [backup-simplify]: Simplify (sqrt 1) into 1
5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.963 * [backup-simplify]: Simplify (+ 0 0) into 0
5.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.964 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.964 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.964 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.964 * [taylor]: Taking taylor expansion of x in x
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 1 into 1
5.964 * [backup-simplify]: Simplify (/ 1 1) into 1
5.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.965 * [taylor]: Taking taylor expansion of x in x
5.965 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify 1 into 1
5.965 * [backup-simplify]: Simplify (/ 1 1) into 1
5.965 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.965 * [taylor]: Taking taylor expansion of y in x
5.965 * [backup-simplify]: Simplify y into y
5.965 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.965 * [taylor]: Taking taylor expansion of y in x
5.965 * [backup-simplify]: Simplify y into y
5.965 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.965 * [backup-simplify]: Simplify (* 1 1) into 1
5.966 * [backup-simplify]: Simplify (+ 1 0) into 1
5.966 * [backup-simplify]: Simplify (sqrt 1) into 1
5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.968 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.969 * [taylor]: Taking taylor expansion of 1 in y
5.969 * [backup-simplify]: Simplify 1 into 1
5.969 * [taylor]: Taking taylor expansion of 0 in y
5.969 * [backup-simplify]: Simplify 0 into 0
5.969 * [backup-simplify]: Simplify 1 into 1
5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.971 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.973 * [taylor]: Taking taylor expansion of 1/2 in y
5.973 * [backup-simplify]: Simplify 1/2 into 1/2
5.973 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.973 * [taylor]: Taking taylor expansion of y in y
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [backup-simplify]: Simplify (* 1 1) into 1
5.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.977 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.977 * [backup-simplify]: Simplify (+ 0 0) into 0
5.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.978 * [taylor]: Taking taylor expansion of 0 in y
5.978 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.981 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
5.981 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
5.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.982 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.982 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.982 * [taylor]: Taking taylor expansion of -1 in y
5.982 * [backup-simplify]: Simplify -1 into -1
5.982 * [taylor]: Taking taylor expansion of x in y
5.982 * [backup-simplify]: Simplify x into x
5.982 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.982 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.982 * [taylor]: Taking taylor expansion of -1 in y
5.982 * [backup-simplify]: Simplify -1 into -1
5.982 * [taylor]: Taking taylor expansion of x in y
5.982 * [backup-simplify]: Simplify x into x
5.982 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.982 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.982 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.982 * [taylor]: Taking taylor expansion of -1 in y
5.982 * [backup-simplify]: Simplify -1 into -1
5.982 * [taylor]: Taking taylor expansion of y in y
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.983 * [backup-simplify]: Simplify (/ -1 1) into -1
5.983 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.983 * [taylor]: Taking taylor expansion of -1 in y
5.983 * [backup-simplify]: Simplify -1 into -1
5.983 * [taylor]: Taking taylor expansion of y in y
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (/ -1 1) into -1
5.984 * [backup-simplify]: Simplify (* -1 -1) into 1
5.985 * [backup-simplify]: Simplify (+ 0 1) into 1
5.985 * [backup-simplify]: Simplify (sqrt 1) into 1
5.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.989 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.989 * [backup-simplify]: Simplify (+ 0 0) into 0
5.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.990 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.991 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.991 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.991 * [taylor]: Taking taylor expansion of -1 in x
5.991 * [backup-simplify]: Simplify -1 into -1
5.991 * [taylor]: Taking taylor expansion of x in x
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (/ -1 1) into -1
5.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.992 * [taylor]: Taking taylor expansion of -1 in x
5.992 * [backup-simplify]: Simplify -1 into -1
5.992 * [taylor]: Taking taylor expansion of x in x
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.993 * [backup-simplify]: Simplify (/ -1 1) into -1
5.993 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.993 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.993 * [taylor]: Taking taylor expansion of -1 in x
5.993 * [backup-simplify]: Simplify -1 into -1
5.993 * [taylor]: Taking taylor expansion of y in x
5.993 * [backup-simplify]: Simplify y into y
5.993 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.993 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.993 * [taylor]: Taking taylor expansion of -1 in x
5.993 * [backup-simplify]: Simplify -1 into -1
5.993 * [taylor]: Taking taylor expansion of y in x
5.993 * [backup-simplify]: Simplify y into y
5.993 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.993 * [backup-simplify]: Simplify (* -1 -1) into 1
5.994 * [backup-simplify]: Simplify (+ 1 0) into 1
5.994 * [backup-simplify]: Simplify (sqrt 1) into 1
5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.996 * [backup-simplify]: Simplify (+ 0 0) into 0
5.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.997 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.997 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.997 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.997 * [taylor]: Taking taylor expansion of -1 in x
5.997 * [backup-simplify]: Simplify -1 into -1
5.997 * [taylor]: Taking taylor expansion of x in x
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (/ -1 1) into -1
5.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.997 * [taylor]: Taking taylor expansion of -1 in x
5.997 * [backup-simplify]: Simplify -1 into -1
5.997 * [taylor]: Taking taylor expansion of x in x
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 1 into 1
5.998 * [backup-simplify]: Simplify (/ -1 1) into -1
5.998 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.998 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.998 * [taylor]: Taking taylor expansion of -1 in x
5.998 * [backup-simplify]: Simplify -1 into -1
5.998 * [taylor]: Taking taylor expansion of y in x
5.998 * [backup-simplify]: Simplify y into y
5.998 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.998 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.998 * [taylor]: Taking taylor expansion of -1 in x
5.998 * [backup-simplify]: Simplify -1 into -1
5.998 * [taylor]: Taking taylor expansion of y in x
5.998 * [backup-simplify]: Simplify y into y
5.998 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.998 * [backup-simplify]: Simplify (* -1 -1) into 1
5.999 * [backup-simplify]: Simplify (+ 1 0) into 1
5.999 * [backup-simplify]: Simplify (sqrt 1) into 1
6.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.001 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.001 * [backup-simplify]: Simplify (+ 0 0) into 0
6.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.002 * [taylor]: Taking taylor expansion of 1 in y
6.002 * [backup-simplify]: Simplify 1 into 1
6.002 * [taylor]: Taking taylor expansion of 0 in y
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 1 into 1
6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.004 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
6.004 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.005 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
6.005 * [taylor]: Taking taylor expansion of 1/2 in y
6.005 * [backup-simplify]: Simplify 1/2 into 1/2
6.005 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.005 * [taylor]: Taking taylor expansion of y in y
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (* 1 1) into 1
6.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.010 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.010 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.010 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.010 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
6.010 * [backup-simplify]: Simplify (+ 0 0) into 0
6.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.011 * [taylor]: Taking taylor expansion of 0 in y
6.011 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.013 * * * [progress]: simplifying candidates
6.013 * [simplify]: Simplifying:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (* -1 x)
6.013 * * [simplify]: Extracting # 0 : cost  0
6.013 * * [simplify]: Extracting # 1 : cost  0
6.013 * * [simplify]: Extracting # 2 : cost  0
6.013 * * [simplify]: Extracting # 3 : cost  0
6.013 * * [simplify]: iteration  0 :  17  enodes  (cost  60 )
6.016 * * [simplify]: Extracting # 0 : cost  0
6.016 * * [simplify]: Extracting # 1 : cost  0
6.016 * * [simplify]: iteration  1 :  22  enodes  (cost  58 )
6.020 * * [simplify]: Extracting # 0 : cost  0
6.020 * * [simplify]: Extracting # 1 : cost  0
6.020 * * [simplify]: Extracting # 2 : cost  0
6.020 * * [simplify]: iteration  2 :  25  enodes  (cost  52 )
6.026 * * [simplify]: Extracting # 0 : cost  0
6.026 * * [simplify]: Extracting # 1 : cost  0
6.026 * * [simplify]: Extracting # 2 : cost  0
6.026 * * [simplify]: Extracting # 3 : cost  0
6.027 * * [simplify]: Extracting # 4 : cost  0
6.027 * * [simplify]: iteration  3 :  30  enodes  (cost  52 )
6.036 * * [simplify]: Extracting # 0 : cost  0
6.037 * * [simplify]: Extracting # 1 : cost  0
6.037 * * [simplify]: Extracting # 2 : cost  0
6.037 * * [simplify]: Extracting # 3 : cost  0
6.037 * * [simplify]: Extracting # 4 : cost  0
6.037 * * [simplify]: iteration  4 :  36  enodes  (cost  52 )
6.048 * * [simplify]: Extracting # 0 : cost  0
6.048 * * [simplify]: Extracting # 1 : cost  0
6.048 * * [simplify]: Extracting # 2 : cost  0
6.049 * * [simplify]: Extracting # 3 : cost  0
6.049 * * [simplify]: Extracting # 4 : cost  0
6.049 * * [simplify]: iteration  5 :  46  enodes  (cost  52 )
6.066 * * [simplify]: Extracting # 0 : cost  0
6.066 * * [simplify]: Extracting # 1 : cost  0
6.066 * * [simplify]: Extracting # 2 : cost  0
6.067 * * [simplify]: Extracting # 3 : cost  0
6.067 * * [simplify]: iteration  6 :  67  enodes  (cost  52 )
6.083 * * [simplify]: Extracting # 0 : cost  0
6.083 * * [simplify]: Extracting # 1 : cost  0
6.084 * * [simplify]: Extracting # 2 : cost  0
6.084 * * [simplify]: Extracting # 3 : cost  0
6.084 * * [simplify]: iteration  7 :  146  enodes  (cost  52 )
6.158 * * [simplify]: Extracting # 0 : cost  0
6.158 * * [simplify]: Extracting # 1 : cost  0
6.159 * * [simplify]: Extracting # 2 : cost  0
6.159 * * [simplify]: Extracting # 3 : cost  0
6.159 * * [simplify]: Extracting # 4 : cost  0
6.160 * * [simplify]: iteration  8 :  431  enodes  (cost  52 )
6.993 * * [simplify]: Extracting # 0 : cost  0
6.996 * * [simplify]: Extracting # 1 : cost  0
6.998 * * [simplify]: Extracting # 2 : cost  0
7.000 * * [simplify]: Extracting # 3 : cost  0
7.002 * * [simplify]: Extracting # 4 : cost  0
7.003 * * [simplify]: iteration  9 :  1841  enodes  (cost  52 )
8.088 * * [simplify]: Extracting # 0 : cost  0
8.094 * * [simplify]: Extracting # 1 : cost  0
8.101 * * [simplify]: Extracting # 2 : cost  0
8.108 * * [simplify]: Extracting # 3 : cost  0
8.120 * * [simplify]: iteration done:  5001  enodes  (cost  52 )
8.120 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (- x)
8.120 * * * [progress]: adding candidates to table
8.168 * [progress]: [Phase 3 of 3] Extracting.
8.168 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.168 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) z y x)
8.168 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.182 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.198 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.213 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.240 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.268 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.293 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
8.293 * [simplify]: Simplifying:
  (hypot (hypot x y) z)
8.294 * * [simplify]: Extracting # 0 : cost  0
8.294 * * [simplify]: Extracting # 1 : cost  0
8.294 * * [simplify]: Extracting # 2 : cost  0
8.294 * * [simplify]: Extracting # 3 : cost  0
8.294 * * [simplify]: Extracting # 4 : cost  0
8.294 * * [simplify]: iteration  0 :  5  enodes  (cost  5 )
8.294 * * [simplify]: Extracting # 0 : cost  0
8.294 * * [simplify]: iteration done:  5  enodes  (cost  5 )
8.294 * [simplify]: Simplified to:
  (hypot (hypot x y) z)
9.502 * [regime-testing]: Baseline error score: 0.005375671958994874
9.506 * [regime-testing]: Oracle error score: 0.004750593824228029
9.512 * [regime-testing]: End program error score: 0.005375671958994874
9.570 * [regime-testing]: Target error score: 24.70839090172548