16.576 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.017 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.019 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.019 * * [simplify]: Extracting # 0 : cost  0
0.019 * * [simplify]: Extracting # 1 : cost  0
0.019 * * [simplify]: Extracting # 2 : cost  0
0.019 * * [simplify]: Extracting # 3 : cost  0
0.019 * * [simplify]: Extracting # 4 : cost  0
0.019 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.020 * * [simplify]: Extracting # 0 : cost  0
0.020 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: iteration done:  6  enodes  (cost  7 )
0.021 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.022 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.034 * * * [progress]: generating series expansions
0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.035 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.035 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.035 * [taylor]: Taking taylor expansion of x in y
0.035 * [backup-simplify]: Simplify x into x
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 1 into 1
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 1 into 1
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.035 * [backup-simplify]: Simplify y into y
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 1 into 1
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.035 * [backup-simplify]: Simplify y into y
0.035 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.035 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 1 into 1
0.035 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.036 * [backup-simplify]: Simplify (+ 0 0) into 0
0.036 * [taylor]: Taking taylor expansion of 0 in y
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify (* 1 1) into 1
0.036 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.037 * [backup-simplify]: Simplify (+ 1 0) into 1
0.037 * [taylor]: Taking taylor expansion of 1 in y
0.037 * [backup-simplify]: Simplify 1 into 1
0.037 * [backup-simplify]: Simplify 1 into 1
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify (* 1 1) into 1
0.037 * [backup-simplify]: Simplify 1 into 1
0.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.038 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.038 * [backup-simplify]: Simplify (+ 0 0) into 0
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.040 * [backup-simplify]: Simplify (+ 0 0) into 0
0.040 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.040 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.041 * [taylor]: Taking taylor expansion of x in y
0.041 * [backup-simplify]: Simplify x into x
0.041 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify (* 1 1) into 1
0.041 * [backup-simplify]: Simplify (/ 1 1) into 1
0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.041 * [taylor]: Taking taylor expansion of x in x
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify 1 into 1
0.042 * [backup-simplify]: Simplify (* 1 1) into 1
0.044 * [backup-simplify]: Simplify (/ 1 1) into 1
0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.044 * [taylor]: Taking taylor expansion of y in x
0.044 * [backup-simplify]: Simplify y into y
0.044 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.045 * [taylor]: Taking taylor expansion of x in x
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.045 * [backup-simplify]: Simplify (* 1 1) into 1
0.045 * [backup-simplify]: Simplify (/ 1 1) into 1
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.045 * [taylor]: Taking taylor expansion of y in x
0.045 * [backup-simplify]: Simplify y into y
0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.046 * [backup-simplify]: Simplify (+ 1 0) into 1
0.046 * [taylor]: Taking taylor expansion of 1 in y
0.046 * [backup-simplify]: Simplify 1 into 1
0.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.047 * [backup-simplify]: Simplify (+ 0 0) into 0
0.047 * [taylor]: Taking taylor expansion of 0 in y
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.048 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.048 * [taylor]: Taking taylor expansion of y in y
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [backup-simplify]: Simplify (* 1 1) into 1
0.048 * [backup-simplify]: Simplify (/ 1 1) into 1
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [backup-simplify]: Simplify 1 into 1
0.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [taylor]: Taking taylor expansion of 0 in y
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [taylor]: Taking taylor expansion of 0 in y
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.054 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.054 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.054 * [taylor]: Taking taylor expansion of x in y
0.054 * [backup-simplify]: Simplify x into x
0.054 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.054 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.054 * [taylor]: Taking taylor expansion of y in y
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (* 1 1) into 1
0.055 * [backup-simplify]: Simplify (/ 1 1) into 1
0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (* 1 1) into 1
0.055 * [backup-simplify]: Simplify (/ 1 1) into 1
0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [backup-simplify]: Simplify y into y
0.055 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (* 1 1) into 1
0.056 * [backup-simplify]: Simplify (/ 1 1) into 1
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.056 * [taylor]: Taking taylor expansion of y in x
0.056 * [backup-simplify]: Simplify y into y
0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.057 * [backup-simplify]: Simplify (+ 1 0) into 1
0.057 * [taylor]: Taking taylor expansion of 1 in y
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.059 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (/ 1 1) into 1
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.065 * * * [progress]: simplifying candidates
0.065 * [simplify]: Simplifying:
  (* (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))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.065 * * [simplify]: Extracting # 0 : cost  0
0.065 * * [simplify]: Extracting # 1 : cost  0
0.065 * * [simplify]: Extracting # 2 : cost  0
0.065 * * [simplify]: Extracting # 3 : cost  0
0.066 * * [simplify]: Extracting # 4 : cost  0
0.066 * * [simplify]: Extracting # 5 : cost  0
0.066 * * [simplify]: Extracting # 6 : cost  0
0.066 * * [simplify]: iteration  0 :  30  enodes  (cost  166 )
0.073 * * [simplify]: Extracting # 0 : cost  0
0.073 * * [simplify]: Extracting # 1 : cost  0
0.073 * * [simplify]: Extracting # 2 : cost  0
0.074 * * [simplify]: Extracting # 3 : cost  0
0.074 * * [simplify]: Extracting # 4 : cost  0
0.074 * * [simplify]: iteration  1 :  100  enodes  (cost  161 )
0.109 * * [simplify]: Extracting # 0 : cost  0
0.109 * * [simplify]: Extracting # 1 : cost  0
0.110 * * [simplify]: Extracting # 2 : cost  0
0.110 * * [simplify]: Extracting # 3 : cost  0
0.110 * * [simplify]: Extracting # 4 : cost  0
0.110 * * [simplify]: iteration  2 :  291  enodes  (cost  131 )
0.206 * * [simplify]: Extracting # 0 : cost  0
0.207 * * [simplify]: Extracting # 1 : cost  0
0.208 * * [simplify]: Extracting # 2 : cost  0
0.208 * * [simplify]: Extracting # 3 : cost  0
0.209 * * [simplify]: iteration  3 :  694  enodes  (cost  131 )
0.506 * * [simplify]: Extracting # 0 : cost  0
0.508 * * [simplify]: Extracting # 1 : cost  0
0.510 * * [simplify]: Extracting # 2 : cost  0
0.511 * * [simplify]: Extracting # 3 : cost  0
0.513 * * [simplify]: Extracting # 4 : cost  0
0.515 * * [simplify]: iteration  4 :  1837  enodes  (cost  131 )
1.288 * * [simplify]: Extracting # 0 : cost  0
1.294 * * [simplify]: Extracting # 1 : cost  0
1.299 * * [simplify]: Extracting # 2 : cost  0
1.304 * * [simplify]: Extracting # 3 : cost  0
1.309 * * [simplify]: Extracting # 4 : cost  0
1.314 * * [simplify]: iteration done:  5000  enodes  (cost  131 )
1.314 * [simplify]: Simplified to:
  (exp (+ (* x x) (* 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)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.314 * * * [progress]: adding candidates to table
1.341 * * [progress]: iteration 2 / 4
1.341 * * * [progress]: picking best candidate
1.342 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
1.342 * * * [progress]: localizing error
1.349 * * * [progress]: generating rewritten candidates
1.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.407 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
1.417 * * * [progress]: generating series expansions
1.417 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.417 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.417 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.418 * [taylor]: Taking taylor expansion of x in y
1.418 * [backup-simplify]: Simplify x into x
1.418 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.418 * [taylor]: Taking taylor expansion of y in y
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 1 into 1
1.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.418 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.418 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.418 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.418 * [backup-simplify]: Simplify (+ 0 0) into 0
1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.419 * [taylor]: Taking taylor expansion of x in x
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.419 * [taylor]: Taking taylor expansion of y in x
1.419 * [backup-simplify]: Simplify y into y
1.419 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.419 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.419 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.419 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.419 * [backup-simplify]: Simplify (+ 0 0) into 0
1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.419 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.419 * [taylor]: Taking taylor expansion of x in x
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.419 * [taylor]: Taking taylor expansion of y in x
1.419 * [backup-simplify]: Simplify y into y
1.419 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.419 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.420 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.420 * [backup-simplify]: Simplify (+ 0 0) into 0
1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.420 * [taylor]: Taking taylor expansion of y in y
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [taylor]: Taking taylor expansion of 0 in y
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.420 * [backup-simplify]: Simplify (* 1 1) into 1
1.421 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.421 * [backup-simplify]: Simplify (+ 1 0) into 1
1.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.421 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.421 * [taylor]: Taking taylor expansion of 1/2 in y
1.421 * [backup-simplify]: Simplify 1/2 into 1/2
1.421 * [taylor]: Taking taylor expansion of y in y
1.421 * [backup-simplify]: Simplify 0 into 0
1.421 * [backup-simplify]: Simplify 1 into 1
1.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.423 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.423 * [backup-simplify]: Simplify (+ 0 0) into 0
1.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.423 * [taylor]: Taking taylor expansion of 0 in y
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.424 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.424 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.424 * [taylor]: Taking taylor expansion of x in y
1.424 * [backup-simplify]: Simplify x into x
1.424 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.424 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.424 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.424 * [taylor]: Taking taylor expansion of y in y
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify 1 into 1
1.425 * [backup-simplify]: Simplify (* 1 1) into 1
1.425 * [backup-simplify]: Simplify (/ 1 1) into 1
1.425 * [backup-simplify]: Simplify (+ 0 1) into 1
1.425 * [backup-simplify]: Simplify (sqrt 1) into 1
1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.426 * [backup-simplify]: Simplify (+ 0 0) into 0
1.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.427 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.427 * [taylor]: Taking taylor expansion of x in x
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify 1 into 1
1.427 * [backup-simplify]: Simplify (* 1 1) into 1
1.427 * [backup-simplify]: Simplify (/ 1 1) into 1
1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.427 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.427 * [taylor]: Taking taylor expansion of y in x
1.427 * [backup-simplify]: Simplify y into y
1.427 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.428 * [backup-simplify]: Simplify (+ 1 0) into 1
1.428 * [backup-simplify]: Simplify (sqrt 1) into 1
1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.429 * [backup-simplify]: Simplify (+ 0 0) into 0
1.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.429 * [taylor]: Taking taylor expansion of x in x
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify 1 into 1
1.430 * [backup-simplify]: Simplify (* 1 1) into 1
1.430 * [backup-simplify]: Simplify (/ 1 1) into 1
1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.430 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.430 * [taylor]: Taking taylor expansion of y in x
1.430 * [backup-simplify]: Simplify y into y
1.430 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.430 * [backup-simplify]: Simplify (+ 1 0) into 1
1.430 * [backup-simplify]: Simplify (sqrt 1) into 1
1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.431 * [backup-simplify]: Simplify (+ 0 0) into 0
1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.432 * [taylor]: Taking taylor expansion of 1 in y
1.432 * [backup-simplify]: Simplify 1 into 1
1.432 * [taylor]: Taking taylor expansion of 0 in y
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify 1 into 1
1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.434 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.434 * [taylor]: Taking taylor expansion of 1/2 in y
1.434 * [backup-simplify]: Simplify 1/2 into 1/2
1.434 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.434 * [taylor]: Taking taylor expansion of y in y
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 1 into 1
1.434 * [backup-simplify]: Simplify (* 1 1) into 1
1.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.436 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.437 * [backup-simplify]: Simplify (+ 0 0) into 0
1.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.437 * [taylor]: Taking taylor expansion of 0 in y
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.438 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.438 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.438 * [taylor]: Taking taylor expansion of x in y
1.438 * [backup-simplify]: Simplify x into x
1.438 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.439 * [taylor]: Taking taylor expansion of y in y
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 1 into 1
1.439 * [backup-simplify]: Simplify (* 1 1) into 1
1.439 * [backup-simplify]: Simplify (/ 1 1) into 1
1.439 * [backup-simplify]: Simplify (+ 0 1) into 1
1.439 * [backup-simplify]: Simplify (sqrt 1) into 1
1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.440 * [backup-simplify]: Simplify (+ 0 0) into 0
1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.441 * [taylor]: Taking taylor expansion of x in x
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.441 * [backup-simplify]: Simplify (* 1 1) into 1
1.441 * [backup-simplify]: Simplify (/ 1 1) into 1
1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.441 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.441 * [taylor]: Taking taylor expansion of y in x
1.441 * [backup-simplify]: Simplify y into y
1.441 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.442 * [backup-simplify]: Simplify (+ 1 0) into 1
1.442 * [backup-simplify]: Simplify (sqrt 1) into 1
1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.443 * [backup-simplify]: Simplify (+ 0 0) into 0
1.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.443 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.443 * [taylor]: Taking taylor expansion of x in x
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.444 * [backup-simplify]: Simplify (* 1 1) into 1
1.444 * [backup-simplify]: Simplify (/ 1 1) into 1
1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.444 * [taylor]: Taking taylor expansion of y in x
1.444 * [backup-simplify]: Simplify y into y
1.444 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.444 * [backup-simplify]: Simplify (+ 1 0) into 1
1.444 * [backup-simplify]: Simplify (sqrt 1) into 1
1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.445 * [backup-simplify]: Simplify (+ 0 0) into 0
1.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.446 * [taylor]: Taking taylor expansion of 1 in y
1.446 * [backup-simplify]: Simplify 1 into 1
1.446 * [taylor]: Taking taylor expansion of 0 in y
1.446 * [backup-simplify]: Simplify 0 into 0
1.446 * [backup-simplify]: Simplify 1 into 1
1.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.448 * [taylor]: Taking taylor expansion of 1/2 in y
1.448 * [backup-simplify]: Simplify 1/2 into 1/2
1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.448 * [taylor]: Taking taylor expansion of y in y
1.448 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (* 1 1) into 1
1.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.451 * [backup-simplify]: Simplify (+ 0 0) into 0
1.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.451 * [taylor]: Taking taylor expansion of 0 in y
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.452 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.452 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.452 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.452 * [taylor]: Taking taylor expansion of x in y
1.452 * [backup-simplify]: Simplify x into x
1.452 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.452 * [taylor]: Taking taylor expansion of y in y
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 1 into 1
1.452 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.453 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.453 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.453 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.453 * [backup-simplify]: Simplify (+ 0 0) into 0
1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.453 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.453 * [taylor]: Taking taylor expansion of x in x
1.453 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify 1 into 1
1.453 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.453 * [taylor]: Taking taylor expansion of y in x
1.453 * [backup-simplify]: Simplify y into y
1.453 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.453 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.453 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.453 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.456 * [backup-simplify]: Simplify (+ 0 0) into 0
1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.457 * [taylor]: Taking taylor expansion of x in x
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.457 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.457 * [taylor]: Taking taylor expansion of y in x
1.457 * [backup-simplify]: Simplify y into y
1.457 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.457 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.457 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.457 * [backup-simplify]: Simplify (+ 0 0) into 0
1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.457 * [taylor]: Taking taylor expansion of y in y
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [taylor]: Taking taylor expansion of 0 in y
1.458 * [backup-simplify]: Simplify 0 into 0
1.458 * [backup-simplify]: Simplify 0 into 0
1.458 * [backup-simplify]: Simplify 1 into 1
1.458 * [backup-simplify]: Simplify (* 1 1) into 1
1.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.458 * [backup-simplify]: Simplify (+ 1 0) into 1
1.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.459 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.459 * [taylor]: Taking taylor expansion of 1/2 in y
1.459 * [backup-simplify]: Simplify 1/2 into 1/2
1.459 * [taylor]: Taking taylor expansion of y in y
1.459 * [backup-simplify]: Simplify 0 into 0
1.459 * [backup-simplify]: Simplify 1 into 1
1.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.461 * [backup-simplify]: Simplify (+ 0 0) into 0
1.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.461 * [taylor]: Taking taylor expansion of 0 in y
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.461 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.462 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.462 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.462 * [taylor]: Taking taylor expansion of x in y
1.462 * [backup-simplify]: Simplify x into x
1.462 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.462 * [taylor]: Taking taylor expansion of y in y
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify 1 into 1
1.462 * [backup-simplify]: Simplify (* 1 1) into 1
1.462 * [backup-simplify]: Simplify (/ 1 1) into 1
1.462 * [backup-simplify]: Simplify (+ 0 1) into 1
1.463 * [backup-simplify]: Simplify (sqrt 1) into 1
1.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.464 * [backup-simplify]: Simplify (+ 0 0) into 0
1.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.464 * [taylor]: Taking taylor expansion of x in x
1.464 * [backup-simplify]: Simplify 0 into 0
1.464 * [backup-simplify]: Simplify 1 into 1
1.464 * [backup-simplify]: Simplify (* 1 1) into 1
1.465 * [backup-simplify]: Simplify (/ 1 1) into 1
1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.465 * [taylor]: Taking taylor expansion of y in x
1.465 * [backup-simplify]: Simplify y into y
1.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.465 * [backup-simplify]: Simplify (+ 1 0) into 1
1.465 * [backup-simplify]: Simplify (sqrt 1) into 1
1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.466 * [backup-simplify]: Simplify (+ 0 0) into 0
1.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.467 * [taylor]: Taking taylor expansion of x in x
1.467 * [backup-simplify]: Simplify 0 into 0
1.467 * [backup-simplify]: Simplify 1 into 1
1.467 * [backup-simplify]: Simplify (* 1 1) into 1
1.467 * [backup-simplify]: Simplify (/ 1 1) into 1
1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.467 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.467 * [taylor]: Taking taylor expansion of y in x
1.467 * [backup-simplify]: Simplify y into y
1.467 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.468 * [backup-simplify]: Simplify (+ 1 0) into 1
1.468 * [backup-simplify]: Simplify (sqrt 1) into 1
1.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.469 * [backup-simplify]: Simplify (+ 0 0) into 0
1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.469 * [taylor]: Taking taylor expansion of 1 in y
1.469 * [backup-simplify]: Simplify 1 into 1
1.469 * [taylor]: Taking taylor expansion of 0 in y
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 1 into 1
1.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.470 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.471 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.471 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.471 * [taylor]: Taking taylor expansion of 1/2 in y
1.471 * [backup-simplify]: Simplify 1/2 into 1/2
1.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.471 * [taylor]: Taking taylor expansion of y in y
1.471 * [backup-simplify]: Simplify 0 into 0
1.471 * [backup-simplify]: Simplify 1 into 1
1.471 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.473 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.474 * [backup-simplify]: Simplify (+ 0 0) into 0
1.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.474 * [taylor]: Taking taylor expansion of 0 in y
1.474 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.475 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.475 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.476 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.476 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.476 * [taylor]: Taking taylor expansion of x in y
1.476 * [backup-simplify]: Simplify x into x
1.476 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.476 * [taylor]: Taking taylor expansion of y in y
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 1 into 1
1.476 * [backup-simplify]: Simplify (* 1 1) into 1
1.476 * [backup-simplify]: Simplify (/ 1 1) into 1
1.476 * [backup-simplify]: Simplify (+ 0 1) into 1
1.477 * [backup-simplify]: Simplify (sqrt 1) into 1
1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.478 * [backup-simplify]: Simplify (+ 0 0) into 0
1.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.479 * [taylor]: Taking taylor expansion of x in x
1.479 * [backup-simplify]: Simplify 0 into 0
1.479 * [backup-simplify]: Simplify 1 into 1
1.479 * [backup-simplify]: Simplify (* 1 1) into 1
1.480 * [backup-simplify]: Simplify (/ 1 1) into 1
1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.480 * [taylor]: Taking taylor expansion of y in x
1.480 * [backup-simplify]: Simplify y into y
1.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.480 * [backup-simplify]: Simplify (+ 1 0) into 1
1.481 * [backup-simplify]: Simplify (sqrt 1) into 1
1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.482 * [backup-simplify]: Simplify (+ 0 0) into 0
1.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.483 * [taylor]: Taking taylor expansion of x in x
1.483 * [backup-simplify]: Simplify 0 into 0
1.483 * [backup-simplify]: Simplify 1 into 1
1.483 * [backup-simplify]: Simplify (* 1 1) into 1
1.483 * [backup-simplify]: Simplify (/ 1 1) into 1
1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.484 * [taylor]: Taking taylor expansion of y in x
1.484 * [backup-simplify]: Simplify y into y
1.484 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.484 * [backup-simplify]: Simplify (+ 1 0) into 1
1.484 * [backup-simplify]: Simplify (sqrt 1) into 1
1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.486 * [backup-simplify]: Simplify (+ 0 0) into 0
1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.487 * [taylor]: Taking taylor expansion of 1 in y
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [taylor]: Taking taylor expansion of 0 in y
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.490 * [taylor]: Taking taylor expansion of 1/2 in y
1.490 * [backup-simplify]: Simplify 1/2 into 1/2
1.490 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.490 * [taylor]: Taking taylor expansion of y in y
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify 1 into 1
1.490 * [backup-simplify]: Simplify (* 1 1) into 1
1.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.494 * [backup-simplify]: Simplify (+ 0 0) into 0
1.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.495 * [taylor]: Taking taylor expansion of 0 in y
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.496 * [backup-simplify]: Simplify 0 into 0
1.496 * [backup-simplify]: Simplify 0 into 0
1.496 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.497 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.497 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2))
1.497 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.497 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.497 * [taylor]: Taking taylor expansion of x in y
1.497 * [backup-simplify]: Simplify x into x
1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.497 * [taylor]: Taking taylor expansion of y in y
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.497 * [taylor]: Taking taylor expansion of x in x
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.497 * [taylor]: Taking taylor expansion of y in x
1.497 * [backup-simplify]: Simplify y into y
1.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.497 * [taylor]: Taking taylor expansion of x in x
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 1 into 1
1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.498 * [taylor]: Taking taylor expansion of y in x
1.498 * [backup-simplify]: Simplify y into y
1.498 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.498 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.498 * [taylor]: Taking taylor expansion of y in y
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 1 into 1
1.498 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.498 * [backup-simplify]: Simplify (+ 0 0) into 0
1.498 * [taylor]: Taking taylor expansion of 0 in y
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify (* 1 1) into 1
1.499 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.500 * [backup-simplify]: Simplify (+ 1 0) into 1
1.500 * [taylor]: Taking taylor expansion of 1 in y
1.500 * [backup-simplify]: Simplify 1 into 1
1.500 * [backup-simplify]: Simplify 1 into 1
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify (* 1 1) into 1
1.500 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.501 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.502 * [backup-simplify]: Simplify (+ 0 0) into 0
1.502 * [taylor]: Taking taylor expansion of 0 in y
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.504 * [backup-simplify]: Simplify (+ 0 0) into 0
1.504 * [taylor]: Taking taylor expansion of 0 in y
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
1.505 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.505 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.505 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.505 * [taylor]: Taking taylor expansion of x in y
1.505 * [backup-simplify]: Simplify x into x
1.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.506 * [taylor]: Taking taylor expansion of y in y
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.506 * [backup-simplify]: Simplify (* 1 1) into 1
1.506 * [backup-simplify]: Simplify (/ 1 1) into 1
1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.507 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.507 * [taylor]: Taking taylor expansion of x in x
1.507 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify 1 into 1
1.507 * [backup-simplify]: Simplify (* 1 1) into 1
1.507 * [backup-simplify]: Simplify (/ 1 1) into 1
1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.507 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.507 * [taylor]: Taking taylor expansion of y in x
1.507 * [backup-simplify]: Simplify y into y
1.507 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.508 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.508 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.508 * [taylor]: Taking taylor expansion of x in x
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 1 into 1
1.508 * [backup-simplify]: Simplify (* 1 1) into 1
1.508 * [backup-simplify]: Simplify (/ 1 1) into 1
1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.508 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.508 * [taylor]: Taking taylor expansion of y in x
1.508 * [backup-simplify]: Simplify y into y
1.509 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.509 * [backup-simplify]: Simplify (+ 1 0) into 1
1.509 * [taylor]: Taking taylor expansion of 1 in y
1.509 * [backup-simplify]: Simplify 1 into 1
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.511 * [backup-simplify]: Simplify (+ 0 0) into 0
1.511 * [taylor]: Taking taylor expansion of 0 in y
1.511 * [backup-simplify]: Simplify 0 into 0
1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.512 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.512 * [taylor]: Taking taylor expansion of y in y
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 1 into 1
1.513 * [backup-simplify]: Simplify (* 1 1) into 1
1.513 * [backup-simplify]: Simplify (/ 1 1) into 1
1.513 * [backup-simplify]: Simplify 1 into 1
1.513 * [backup-simplify]: Simplify 1 into 1
1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.516 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [taylor]: Taking taylor expansion of 0 in y
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.520 * [backup-simplify]: Simplify (+ 0 0) into 0
1.520 * [taylor]: Taking taylor expansion of 0 in y
1.520 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.521 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 0 into 0
1.522 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
1.522 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.522 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.523 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.523 * [taylor]: Taking taylor expansion of x in y
1.523 * [backup-simplify]: Simplify x into x
1.523 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.523 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.523 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.523 * [taylor]: Taking taylor expansion of y in y
1.523 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify 1 into 1
1.523 * [backup-simplify]: Simplify (* 1 1) into 1
1.524 * [backup-simplify]: Simplify (/ 1 1) into 1
1.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.524 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.524 * [taylor]: Taking taylor expansion of x in x
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify 1 into 1
1.524 * [backup-simplify]: Simplify (* 1 1) into 1
1.524 * [backup-simplify]: Simplify (/ 1 1) into 1
1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.524 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.524 * [taylor]: Taking taylor expansion of y in x
1.525 * [backup-simplify]: Simplify y into y
1.525 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.525 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.525 * [taylor]: Taking taylor expansion of x in x
1.525 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify 1 into 1
1.525 * [backup-simplify]: Simplify (* 1 1) into 1
1.526 * [backup-simplify]: Simplify (/ 1 1) into 1
1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.526 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.526 * [taylor]: Taking taylor expansion of y in x
1.526 * [backup-simplify]: Simplify y into y
1.526 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.526 * [backup-simplify]: Simplify (+ 1 0) into 1
1.526 * [taylor]: Taking taylor expansion of 1 in y
1.526 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (+ 0 0) into 0
1.528 * [taylor]: Taking taylor expansion of 0 in y
1.528 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.529 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.530 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.530 * [taylor]: Taking taylor expansion of y in y
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (* 1 1) into 1
1.530 * [backup-simplify]: Simplify (/ 1 1) into 1
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify 1 into 1
1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.532 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.533 * [backup-simplify]: Simplify (+ 0 0) into 0
1.533 * [taylor]: Taking taylor expansion of 0 in y
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.537 * [backup-simplify]: Simplify (+ 0 0) into 0
1.537 * [taylor]: Taking taylor expansion of 0 in y
1.537 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
1.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
1.539 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
1.539 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.539 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.539 * [taylor]: Taking taylor expansion of x in y
1.539 * [backup-simplify]: Simplify x into x
1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.539 * [taylor]: Taking taylor expansion of y in y
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 1 into 1
1.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.539 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.539 * [taylor]: Taking taylor expansion of x in x
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 1 into 1
1.539 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.539 * [taylor]: Taking taylor expansion of y in x
1.540 * [backup-simplify]: Simplify y into y
1.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.540 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.540 * [taylor]: Taking taylor expansion of x in x
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.540 * [taylor]: Taking taylor expansion of y in x
1.540 * [backup-simplify]: Simplify y into y
1.540 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.540 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.540 * [taylor]: Taking taylor expansion of y in y
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.540 * [backup-simplify]: Simplify (+ 0 0) into 0
1.540 * [taylor]: Taking taylor expansion of 0 in y
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify (* 1 1) into 1
1.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.542 * [backup-simplify]: Simplify (+ 1 0) into 1
1.542 * [taylor]: Taking taylor expansion of 1 in y
1.542 * [backup-simplify]: Simplify 1 into 1
1.542 * [backup-simplify]: Simplify 1 into 1
1.542 * [backup-simplify]: Simplify 0 into 0
1.542 * [backup-simplify]: Simplify (* 1 1) into 1
1.542 * [backup-simplify]: Simplify 1 into 1
1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.543 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1.544 * [taylor]: Taking taylor expansion of 0 in y
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.547 * [taylor]: Taking taylor expansion of 0 in y
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
1.547 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.547 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.547 * [taylor]: Taking taylor expansion of x in y
1.547 * [backup-simplify]: Simplify x into x
1.547 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.547 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.548 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.548 * [taylor]: Taking taylor expansion of y in y
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.548 * [backup-simplify]: Simplify (* 1 1) into 1
1.548 * [backup-simplify]: Simplify (/ 1 1) into 1
1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.548 * [taylor]: Taking taylor expansion of x in x
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (* 1 1) into 1
1.549 * [backup-simplify]: Simplify (/ 1 1) into 1
1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.549 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.549 * [taylor]: Taking taylor expansion of y in x
1.549 * [backup-simplify]: Simplify y into y
1.549 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.550 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.550 * [taylor]: Taking taylor expansion of x in x
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 1 into 1
1.550 * [backup-simplify]: Simplify (* 1 1) into 1
1.550 * [backup-simplify]: Simplify (/ 1 1) into 1
1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.550 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.550 * [taylor]: Taking taylor expansion of y in x
1.550 * [backup-simplify]: Simplify y into y
1.550 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.551 * [backup-simplify]: Simplify (+ 1 0) into 1
1.551 * [taylor]: Taking taylor expansion of 1 in y
1.551 * [backup-simplify]: Simplify 1 into 1
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.552 * [backup-simplify]: Simplify (+ 0 0) into 0
1.552 * [taylor]: Taking taylor expansion of 0 in y
1.552 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.554 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.554 * [taylor]: Taking taylor expansion of y in y
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 1 into 1
1.555 * [backup-simplify]: Simplify (* 1 1) into 1
1.555 * [backup-simplify]: Simplify (/ 1 1) into 1
1.555 * [backup-simplify]: Simplify 1 into 1
1.555 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.557 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.557 * [backup-simplify]: Simplify (+ 0 0) into 0
1.557 * [taylor]: Taking taylor expansion of 0 in y
1.557 * [backup-simplify]: Simplify 0 into 0
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.561 * [backup-simplify]: Simplify (+ 0 0) into 0
1.561 * [taylor]: Taking taylor expansion of 0 in y
1.562 * [backup-simplify]: Simplify 0 into 0
1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
1.564 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.564 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.564 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.564 * [taylor]: Taking taylor expansion of x in y
1.564 * [backup-simplify]: Simplify x into x
1.564 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.564 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.564 * [taylor]: Taking taylor expansion of y in y
1.564 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify 1 into 1
1.564 * [backup-simplify]: Simplify (* 1 1) into 1
1.565 * [backup-simplify]: Simplify (/ 1 1) into 1
1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.565 * [taylor]: Taking taylor expansion of x in x
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [backup-simplify]: Simplify (* 1 1) into 1
1.566 * [backup-simplify]: Simplify (/ 1 1) into 1
1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.566 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.566 * [taylor]: Taking taylor expansion of y in x
1.566 * [backup-simplify]: Simplify y into y
1.566 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.566 * [taylor]: Taking taylor expansion of x in x
1.566 * [backup-simplify]: Simplify 0 into 0
1.566 * [backup-simplify]: Simplify 1 into 1
1.567 * [backup-simplify]: Simplify (* 1 1) into 1
1.567 * [backup-simplify]: Simplify (/ 1 1) into 1
1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.567 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.567 * [taylor]: Taking taylor expansion of y in x
1.567 * [backup-simplify]: Simplify y into y
1.567 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.567 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.568 * [backup-simplify]: Simplify (+ 1 0) into 1
1.568 * [taylor]: Taking taylor expansion of 1 in y
1.568 * [backup-simplify]: Simplify 1 into 1
1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.569 * [backup-simplify]: Simplify (+ 0 0) into 0
1.569 * [taylor]: Taking taylor expansion of 0 in y
1.569 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.571 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.571 * [taylor]: Taking taylor expansion of y in y
1.571 * [backup-simplify]: Simplify 0 into 0
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [backup-simplify]: Simplify (* 1 1) into 1
1.572 * [backup-simplify]: Simplify (/ 1 1) into 1
1.572 * [backup-simplify]: Simplify 1 into 1
1.572 * [backup-simplify]: Simplify 1 into 1
1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.574 * [backup-simplify]: Simplify (+ 0 0) into 0
1.574 * [taylor]: Taking taylor expansion of 0 in y
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [taylor]: Taking taylor expansion of 0 in y
1.576 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
1.578 * * * [progress]: simplifying candidates
1.582 * [simplify]: Simplifying:
  (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))))
  (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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* 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)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
1.584 * * [simplify]: Extracting # 0 : cost  0
1.584 * * [simplify]: Extracting # 1 : cost  0
1.584 * * [simplify]: Extracting # 2 : cost  0
1.584 * * [simplify]: Extracting # 3 : cost  0
1.584 * * [simplify]: Extracting # 4 : cost  0
1.584 * * [simplify]: Extracting # 5 : cost  0
1.584 * * [simplify]: Extracting # 6 : cost  0
1.584 * * [simplify]: iteration  0 :  92  enodes  (cost  1982 )
1.608 * * [simplify]: Extracting # 0 : cost  0
1.608 * * [simplify]: Extracting # 1 : cost  0
1.608 * * [simplify]: Extracting # 2 : cost  0
1.608 * * [simplify]: Extracting # 3 : cost  0
1.609 * * [simplify]: Extracting # 4 : cost  0
1.609 * * [simplify]: Extracting # 5 : cost  0
1.609 * * [simplify]: iteration  1 :  191  enodes  (cost  1397 )
1.664 * * [simplify]: Extracting # 0 : cost  0
1.665 * * [simplify]: Extracting # 1 : cost  0
1.666 * * [simplify]: Extracting # 2 : cost  0
1.666 * * [simplify]: Extracting # 3 : cost  0
1.667 * * [simplify]: Extracting # 4 : cost  0
1.667 * * [simplify]: Extracting # 5 : cost  0
1.668 * * [simplify]: iteration  2 :  550  enodes  (cost  1177 )
1.945 * * [simplify]: Extracting # 0 : cost  0
1.947 * * [simplify]: Extracting # 1 : cost  0
1.949 * * [simplify]: Extracting # 2 : cost  0
1.950 * * [simplify]: Extracting # 3 : cost  0
1.952 * * [simplify]: Extracting # 4 : cost  0
1.953 * * [simplify]: iteration  3 :  1718  enodes  (cost  1138 )
2.954 * * [simplify]: Extracting # 0 : cost  0
2.959 * * [simplify]: Extracting # 1 : cost  0
2.969 * * [simplify]: Extracting # 2 : cost  0
2.973 * * [simplify]: Extracting # 3 : cost  0
2.978 * * [simplify]: Extracting # 4 : cost  0
2.982 * * [simplify]: Extracting # 5 : cost  0
2.986 * * [simplify]: iteration done:  5001  enodes  (cost  1110 )
2.987 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ y x) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (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))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ y x) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (- (pow x 4) (pow y 4))
  (* (+ y x) (- x y))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  2
  1
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5)
  (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (* (+ y x) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
2.987 * * * [progress]: adding candidates to table
3.175 * [progress]: [Phase 3 of 3] Extracting.
3.175 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.176 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
3.176 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.187 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.197 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.207 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.220 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
3.231 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
3.231 * [simplify]: Simplifying:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.231 * * [simplify]: Extracting # 0 : cost  0
3.231 * * [simplify]: Extracting # 1 : cost  0
3.231 * * [simplify]: Extracting # 2 : cost  0
3.231 * * [simplify]: Extracting # 3 : cost  0
3.231 * * [simplify]: Extracting # 4 : cost  0
3.231 * * [simplify]: Extracting # 5 : cost  0
3.231 * * [simplify]: Extracting # 6 : cost  0
3.231 * * [simplify]: iteration  0 :  7  enodes  (cost  17 )
3.232 * * [simplify]: Extracting # 0 : cost  0
3.232 * * [simplify]: iteration  1 :  8  enodes  (cost  17 )
3.232 * * [simplify]: Extracting # 0 : cost  0
3.232 * * [simplify]: iteration done:  8  enodes  (cost  17 )
3.232 * [simplify]: Simplified to:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.809 * [regime-testing]: Baseline error score: 0.014369841544225489
3.809 * [regime-testing]: Oracle error score: 0.004875609451181397
3.810 * [regime-testing]: End program error score: 0.014369841544225489