22.936 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: Extracting # 1 : cost  0
0.021 * * [simplify]: Extracting # 2 : cost  0
0.021 * * [simplify]: Extracting # 3 : cost  0
0.021 * * [simplify]: Extracting # 4 : cost  0
0.021 * * [simplify]: Extracting # 5 : cost  0
0.021 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.022 * * [simplify]: Extracting # 0 : cost  0
0.022 * * [simplify]: iteration done:  6  enodes  (cost  6 )
0.022 * [simplify]: Simplified to:
  (sqrt (+ (* x x) y))
0.023 * * [progress]: iteration 1 / 4
0.023 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.024 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.054 * * * [progress]: generating series expansions
0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.054 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x in y
0.055 * [backup-simplify]: Simplify x into x
0.055 * [taylor]: Taking taylor expansion of y in y
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.055 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.055 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.055 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.062 * [backup-simplify]: Simplify (+ 0 1) into 1
0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.063 * [taylor]: Taking taylor expansion of x in x
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [taylor]: Taking taylor expansion of y in x
0.063 * [backup-simplify]: Simplify y into y
0.063 * [backup-simplify]: Simplify (+ 0 y) into y
0.063 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [backup-simplify]: Simplify (+ 0 y) into y
0.064 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.064 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify (sqrt 0) into 0
0.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.067 * [backup-simplify]: Simplify (+ 1 0) into 1
0.067 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.067 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.067 * [taylor]: Taking taylor expansion of 1/2 in y
0.067 * [backup-simplify]: Simplify 1/2 into 1/2
0.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (/ 1 1) into 1
0.068 * [backup-simplify]: Simplify (sqrt 0) into 0
0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.070 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.070 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.073 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.074 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.074 * [taylor]: Taking taylor expansion of x in y
0.074 * [backup-simplify]: Simplify x into x
0.074 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [backup-simplify]: Simplify (+ 0 1) into 1
0.076 * [backup-simplify]: Simplify (sqrt 0) into 0
0.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [backup-simplify]: Simplify y into y
0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.079 * [backup-simplify]: Simplify (+ 1 0) into 1
0.080 * [backup-simplify]: Simplify (sqrt 1) into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.085 * [backup-simplify]: Simplify (+ 1 0) into 1
0.085 * [backup-simplify]: Simplify (sqrt 1) into 1
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.088 * [taylor]: Taking taylor expansion of 1 in y
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.091 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.091 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.091 * [taylor]: Taking taylor expansion of 1/2 in y
0.091 * [backup-simplify]: Simplify 1/2 into 1/2
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.091 * [backup-simplify]: Simplify 1/2 into 1/2
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.099 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.099 * [taylor]: Taking taylor expansion of -1/8 in y
0.099 * [backup-simplify]: Simplify -1/8 into -1/8
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.102 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.102 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.102 * [taylor]: Taking taylor expansion of x in y
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.102 * [taylor]: Taking taylor expansion of y in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [backup-simplify]: Simplify (- 1) into -1
0.103 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.103 * [backup-simplify]: Simplify (sqrt 0) into 0
0.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (/ 1 1) into 1
0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.109 * [taylor]: Taking taylor expansion of y in x
0.109 * [backup-simplify]: Simplify y into y
0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.110 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.112 * [taylor]: Taking taylor expansion of 1 in y
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.114 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.115 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.115 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.115 * [taylor]: Taking taylor expansion of -1/2 in y
0.115 * [backup-simplify]: Simplify -1/2 into -1/2
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.115 * [backup-simplify]: Simplify -1/2 into -1/2
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.123 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.123 * [taylor]: Taking taylor expansion of -1/8 in y
0.124 * [backup-simplify]: Simplify -1/8 into -1/8
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.124 * [taylor]: Taking taylor expansion of y in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.126 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.126 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.126 * [taylor]: Taking taylor expansion of x in y
0.126 * [backup-simplify]: Simplify x into x
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.127 * [taylor]: Taking taylor expansion of x in x
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of y in x
0.127 * [backup-simplify]: Simplify y into y
0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.127 * [taylor]: Taking taylor expansion of x in x
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of y in x
0.127 * [backup-simplify]: Simplify y into y
0.127 * [backup-simplify]: Simplify (+ 0 y) into y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (+ 1 0) into 1
0.128 * [taylor]: Taking taylor expansion of 1 in y
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.130 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.130 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [backup-simplify]: Simplify x into x
0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.131 * [taylor]: Taking taylor expansion of x in x
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.132 * [taylor]: Taking taylor expansion of y in x
0.132 * [backup-simplify]: Simplify y into y
0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.132 * [taylor]: Taking taylor expansion of x in x
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.133 * [taylor]: Taking taylor expansion of y in x
0.133 * [backup-simplify]: Simplify y into y
0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.134 * [backup-simplify]: Simplify (+ 1 0) into 1
0.134 * [taylor]: Taking taylor expansion of 1 in y
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.137 * [taylor]: Taking taylor expansion of y in y
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.144 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.144 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.144 * [taylor]: Taking taylor expansion of x in y
0.144 * [backup-simplify]: Simplify x into x
0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.145 * [taylor]: Taking taylor expansion of y in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.145 * [taylor]: Taking taylor expansion of x in x
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (/ 1 1) into 1
0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.146 * [taylor]: Taking taylor expansion of y in x
0.146 * [backup-simplify]: Simplify y into y
0.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [taylor]: Taking taylor expansion of 1 in y
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.151 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.151 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.152 * [taylor]: Taking taylor expansion of y in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [backup-simplify]: Simplify (- 1) into -1
0.152 * [backup-simplify]: Simplify -1 into -1
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.155 * [backup-simplify]: Simplify (- 0) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- 0) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.159 * [backup-simplify]: Simplify (- 0) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.160 * * * [progress]: simplifying candidates
0.160 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.162 * * [simplify]: Extracting # 0 : cost  0
0.162 * * [simplify]: Extracting # 1 : cost  0
0.162 * * [simplify]: Extracting # 2 : cost  0
0.162 * * [simplify]: Extracting # 3 : cost  0
0.162 * * [simplify]: Extracting # 4 : cost  0
0.162 * * [simplify]: Extracting # 5 : cost  0
0.162 * * [simplify]: Extracting # 6 : cost  0
0.162 * * [simplify]: Extracting # 7 : cost  0
0.163 * * [simplify]: Extracting # 8 : cost  0
0.163 * * [simplify]: Extracting # 9 : cost  0
0.163 * * [simplify]: Extracting # 10 : cost  0
0.163 * * [simplify]: iteration  0 :  59  enodes  (cost  319 )
0.180 * * [simplify]: Extracting # 0 : cost  0
0.180 * * [simplify]: Extracting # 1 : cost  0
0.180 * * [simplify]: Extracting # 2 : cost  0
0.180 * * [simplify]: Extracting # 3 : cost  0
0.181 * * [simplify]: Extracting # 4 : cost  0
0.181 * * [simplify]: iteration  1 :  154  enodes  (cost  294 )
0.274 * * [simplify]: Extracting # 0 : cost  0
0.275 * * [simplify]: Extracting # 1 : cost  0
0.276 * * [simplify]: Extracting # 2 : cost  0
0.277 * * [simplify]: Extracting # 3 : cost  0
0.277 * * [simplify]: Extracting # 4 : cost  0
0.278 * * [simplify]: iteration  2 :  700  enodes  (cost  258 )
0.682 * * [simplify]: Extracting # 0 : cost  0
0.693 * * [simplify]: Extracting # 1 : cost  0
0.703 * * [simplify]: Extracting # 2 : cost  0
0.714 * * [simplify]: Extracting # 3 : cost  0
0.720 * * [simplify]: Extracting # 4 : cost  0
0.727 * * [simplify]: iteration done:  5000  enodes  (cost  255 )
0.728 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (exp (+ (* x x) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (+ y (* x x)) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow y 3) (pow x 6))
  (+ (pow x 4) (* y (- y (* x x))))
  (- (pow x 4) (* y y))
  (- (* x x) y)
  (- (* +nan.0 (- (* x x) (- (* y y) y))))
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
0.728 * * * [progress]: adding candidates to table
0.822 * * [progress]: iteration 2 / 4
0.822 * * * [progress]: picking best candidate
0.824 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.824 * * * [progress]: localizing error
0.829 * * * [progress]: generating rewritten candidates
0.829 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2)
0.848 * * * [progress]: generating series expansions
0.848 * * * * [progress]: [ 1 / 1 ] generating series at (2 2)
0.848 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x))
0.848 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.848 * [taylor]: Taking taylor expansion of 1/2 in x
0.848 * [backup-simplify]: Simplify 1/2 into 1/2
0.848 * [taylor]: Taking taylor expansion of (/ y x) in x
0.848 * [taylor]: Taking taylor expansion of y in x
0.848 * [backup-simplify]: Simplify y into y
0.848 * [taylor]: Taking taylor expansion of x in x
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.848 * [backup-simplify]: Simplify (/ y 1) into y
0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.848 * [taylor]: Taking taylor expansion of 1/2 in y
0.848 * [backup-simplify]: Simplify 1/2 into 1/2
0.848 * [taylor]: Taking taylor expansion of (/ y x) in y
0.848 * [taylor]: Taking taylor expansion of y in y
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.848 * [taylor]: Taking taylor expansion of x in y
0.848 * [backup-simplify]: Simplify x into x
0.848 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.848 * [taylor]: Taking taylor expansion of 1/2 in y
0.848 * [backup-simplify]: Simplify 1/2 into 1/2
0.848 * [taylor]: Taking taylor expansion of (/ y x) in y
0.848 * [taylor]: Taking taylor expansion of y in y
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [taylor]: Taking taylor expansion of x in y
0.849 * [backup-simplify]: Simplify x into x
0.849 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.849 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
0.849 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.849 * [taylor]: Taking taylor expansion of 1/2 in x
0.849 * [backup-simplify]: Simplify 1/2 into 1/2
0.849 * [taylor]: Taking taylor expansion of x in x
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.849 * [backup-simplify]: Simplify 1/2 into 1/2
0.849 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
0.850 * [taylor]: Taking taylor expansion of 0 in x
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.851 * [taylor]: Taking taylor expansion of 0 in x
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.852 * [taylor]: Taking taylor expansion of 0 in x
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x))
0.853 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y))
0.853 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.853 * [taylor]: Taking taylor expansion of 1/2 in x
0.853 * [backup-simplify]: Simplify 1/2 into 1/2
0.853 * [taylor]: Taking taylor expansion of (/ x y) in x
0.853 * [taylor]: Taking taylor expansion of x in x
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.853 * [taylor]: Taking taylor expansion of y in x
0.854 * [backup-simplify]: Simplify y into y
0.854 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.854 * [taylor]: Taking taylor expansion of 1/2 in y
0.854 * [backup-simplify]: Simplify 1/2 into 1/2
0.854 * [taylor]: Taking taylor expansion of (/ x y) in y
0.854 * [taylor]: Taking taylor expansion of x in y
0.854 * [backup-simplify]: Simplify x into x
0.854 * [taylor]: Taking taylor expansion of y in y
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.854 * [backup-simplify]: Simplify (/ x 1) into x
0.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.854 * [taylor]: Taking taylor expansion of 1/2 in y
0.854 * [backup-simplify]: Simplify 1/2 into 1/2
0.854 * [taylor]: Taking taylor expansion of (/ x y) in y
0.854 * [taylor]: Taking taylor expansion of x in y
0.854 * [backup-simplify]: Simplify x into x
0.854 * [taylor]: Taking taylor expansion of y in y
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.854 * [backup-simplify]: Simplify (/ x 1) into x
0.854 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.854 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.854 * [taylor]: Taking taylor expansion of 1/2 in x
0.854 * [backup-simplify]: Simplify 1/2 into 1/2
0.854 * [taylor]: Taking taylor expansion of x in x
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.855 * [backup-simplify]: Simplify 1/2 into 1/2
0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.855 * [taylor]: Taking taylor expansion of 0 in x
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.856 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.857 * [taylor]: Taking taylor expansion of 0 in x
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.860 * [taylor]: Taking taylor expansion of 0 in x
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x))
0.860 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y))
0.860 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.860 * [taylor]: Taking taylor expansion of 1/2 in x
0.860 * [backup-simplify]: Simplify 1/2 into 1/2
0.860 * [taylor]: Taking taylor expansion of (/ x y) in x
0.860 * [taylor]: Taking taylor expansion of x in x
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.860 * [taylor]: Taking taylor expansion of y in x
0.860 * [backup-simplify]: Simplify y into y
0.860 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.860 * [taylor]: Taking taylor expansion of 1/2 in y
0.860 * [backup-simplify]: Simplify 1/2 into 1/2
0.860 * [taylor]: Taking taylor expansion of (/ x y) in y
0.860 * [taylor]: Taking taylor expansion of x in y
0.860 * [backup-simplify]: Simplify x into x
0.860 * [taylor]: Taking taylor expansion of y in y
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (/ x 1) into x
0.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.860 * [taylor]: Taking taylor expansion of 1/2 in y
0.860 * [backup-simplify]: Simplify 1/2 into 1/2
0.860 * [taylor]: Taking taylor expansion of (/ x y) in y
0.861 * [taylor]: Taking taylor expansion of x in y
0.861 * [backup-simplify]: Simplify x into x
0.861 * [taylor]: Taking taylor expansion of y in y
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ x 1) into x
0.861 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.861 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.861 * [taylor]: Taking taylor expansion of 1/2 in x
0.861 * [backup-simplify]: Simplify 1/2 into 1/2
0.861 * [taylor]: Taking taylor expansion of x in x
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.861 * [backup-simplify]: Simplify 1/2 into 1/2
0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.862 * [taylor]: Taking taylor expansion of 0 in x
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.864 * [taylor]: Taking taylor expansion of 0 in x
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.865 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.867 * [taylor]: Taking taylor expansion of 0 in x
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x))
0.867 * * * [progress]: simplifying candidates
0.867 * [simplify]: Simplifying:
  (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.868 * * [simplify]: Extracting # 0 : cost  0
0.868 * * [simplify]: Extracting # 1 : cost  0
0.868 * * [simplify]: Extracting # 2 : cost  0
0.868 * * [simplify]: Extracting # 3 : cost  0
0.868 * * [simplify]: Extracting # 4 : cost  0
0.868 * * [simplify]: Extracting # 5 : cost  0
0.868 * * [simplify]: Extracting # 6 : cost  0
0.868 * * [simplify]: Extracting # 7 : cost  0
0.869 * * [simplify]: iteration  0 :  68  enodes  (cost  277 )
0.888 * * [simplify]: Extracting # 0 : cost  0
0.888 * * [simplify]: Extracting # 1 : cost  0
0.888 * * [simplify]: Extracting # 2 : cost  0
0.889 * * [simplify]: iteration  1 :  178  enodes  (cost  250 )
0.939 * * [simplify]: Extracting # 0 : cost  0
0.939 * * [simplify]: Extracting # 1 : cost  0
0.940 * * [simplify]: Extracting # 2 : cost  0
0.940 * * [simplify]: Extracting # 3 : cost  0
0.941 * * [simplify]: Extracting # 4 : cost  0
0.942 * * [simplify]: Extracting # 5 : cost  0
0.942 * * [simplify]: iteration  2 :  570  enodes  (cost  230 )
1.372 * * [simplify]: Extracting # 0 : cost  0
1.376 * * [simplify]: Extracting # 1 : cost  0
1.380 * * [simplify]: Extracting # 2 : cost  0
1.384 * * [simplify]: Extracting # 3 : cost  0
1.388 * * [simplify]: Extracting # 4 : cost  0
1.391 * * [simplify]: iteration  3 :  2465  enodes  (cost  229 )
2.292 * * [simplify]: Extracting # 0 : cost  0
2.302 * * [simplify]: Extracting # 1 : cost  0
2.307 * * [simplify]: Extracting # 2 : cost  0
2.312 * * [simplify]: Extracting # 3 : cost  0
2.317 * * [simplify]: Extracting # 4 : cost  0
2.326 * * [simplify]: iteration done:  5000  enodes  (cost  229 )
2.326 * [simplify]: Simplified to:
  (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (sqrt (exp (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (pow (* 1/2 (/ y x)) 3)
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (* (cbrt y) (cbrt y)))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
2.327 * * * [progress]: adding candidates to table
2.382 * * [progress]: iteration 3 / 4
2.382 * * * [progress]: picking best candidate
2.383 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
2.383 * * * [progress]: localizing error
2.388 * * * [progress]: generating rewritten candidates
2.388 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
2.405 * * * [progress]: generating series expansions
2.405 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
2.405 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x))
2.405 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0
2.405 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
2.405 * [taylor]: Taking taylor expansion of -1/2 in x
2.405 * [backup-simplify]: Simplify -1/2 into -1/2
2.405 * [taylor]: Taking taylor expansion of (/ y x) in x
2.405 * [taylor]: Taking taylor expansion of y in x
2.405 * [backup-simplify]: Simplify y into y
2.405 * [taylor]: Taking taylor expansion of x in x
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (/ y 1) into y
2.405 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
2.405 * [taylor]: Taking taylor expansion of -1/2 in y
2.405 * [backup-simplify]: Simplify -1/2 into -1/2
2.405 * [taylor]: Taking taylor expansion of (/ y x) in y
2.405 * [taylor]: Taking taylor expansion of y in y
2.405 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.406 * [taylor]: Taking taylor expansion of x in y
2.406 * [backup-simplify]: Simplify x into x
2.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.406 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
2.406 * [taylor]: Taking taylor expansion of -1/2 in y
2.406 * [backup-simplify]: Simplify -1/2 into -1/2
2.406 * [taylor]: Taking taylor expansion of (/ y x) in y
2.406 * [taylor]: Taking taylor expansion of y in y
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.406 * [taylor]: Taking taylor expansion of x in y
2.406 * [backup-simplify]: Simplify x into x
2.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.406 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x)
2.406 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
2.406 * [taylor]: Taking taylor expansion of -1/2 in x
2.406 * [backup-simplify]: Simplify -1/2 into -1/2
2.406 * [taylor]: Taking taylor expansion of x in x
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.407 * [backup-simplify]: Simplify -1/2 into -1/2
2.407 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.407 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0
2.407 * [taylor]: Taking taylor expansion of 0 in x
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.408 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.408 * [taylor]: Taking taylor expansion of 0 in x
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.410 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.410 * [taylor]: Taking taylor expansion of 0 in x
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x))
2.411 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y))
2.411 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
2.411 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
2.411 * [taylor]: Taking taylor expansion of -1/2 in x
2.411 * [backup-simplify]: Simplify -1/2 into -1/2
2.411 * [taylor]: Taking taylor expansion of (/ x y) in x
2.411 * [taylor]: Taking taylor expansion of x in x
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.411 * [taylor]: Taking taylor expansion of y in x
2.411 * [backup-simplify]: Simplify y into y
2.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.411 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.411 * [taylor]: Taking taylor expansion of -1/2 in y
2.411 * [backup-simplify]: Simplify -1/2 into -1/2
2.411 * [taylor]: Taking taylor expansion of (/ x y) in y
2.411 * [taylor]: Taking taylor expansion of x in y
2.411 * [backup-simplify]: Simplify x into x
2.411 * [taylor]: Taking taylor expansion of y in y
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.411 * [backup-simplify]: Simplify (/ x 1) into x
2.411 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.411 * [taylor]: Taking taylor expansion of -1/2 in y
2.411 * [backup-simplify]: Simplify -1/2 into -1/2
2.411 * [taylor]: Taking taylor expansion of (/ x y) in y
2.411 * [taylor]: Taking taylor expansion of x in y
2.411 * [backup-simplify]: Simplify x into x
2.411 * [taylor]: Taking taylor expansion of y in y
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.411 * [backup-simplify]: Simplify (/ x 1) into x
2.412 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
2.412 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
2.412 * [taylor]: Taking taylor expansion of -1/2 in x
2.412 * [backup-simplify]: Simplify -1/2 into -1/2
2.412 * [taylor]: Taking taylor expansion of x in x
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
2.412 * [backup-simplify]: Simplify -1/2 into -1/2
2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.413 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
2.413 * [taylor]: Taking taylor expansion of 0 in x
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.415 * [taylor]: Taking taylor expansion of 0 in x
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.417 * [taylor]: Taking taylor expansion of 0 in x
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x))
2.418 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y))
2.418 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
2.418 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
2.418 * [taylor]: Taking taylor expansion of -1/2 in x
2.418 * [backup-simplify]: Simplify -1/2 into -1/2
2.418 * [taylor]: Taking taylor expansion of (/ x y) in x
2.418 * [taylor]: Taking taylor expansion of x in x
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [taylor]: Taking taylor expansion of y in x
2.418 * [backup-simplify]: Simplify y into y
2.418 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.418 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.418 * [taylor]: Taking taylor expansion of -1/2 in y
2.418 * [backup-simplify]: Simplify -1/2 into -1/2
2.418 * [taylor]: Taking taylor expansion of (/ x y) in y
2.418 * [taylor]: Taking taylor expansion of x in y
2.418 * [backup-simplify]: Simplify x into x
2.418 * [taylor]: Taking taylor expansion of y in y
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (/ x 1) into x
2.418 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.418 * [taylor]: Taking taylor expansion of -1/2 in y
2.418 * [backup-simplify]: Simplify -1/2 into -1/2
2.418 * [taylor]: Taking taylor expansion of (/ x y) in y
2.418 * [taylor]: Taking taylor expansion of x in y
2.418 * [backup-simplify]: Simplify x into x
2.418 * [taylor]: Taking taylor expansion of y in y
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (/ x 1) into x
2.418 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
2.418 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
2.418 * [taylor]: Taking taylor expansion of -1/2 in x
2.418 * [backup-simplify]: Simplify -1/2 into -1/2
2.418 * [taylor]: Taking taylor expansion of x in x
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
2.419 * [backup-simplify]: Simplify -1/2 into -1/2
2.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.420 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
2.420 * [taylor]: Taking taylor expansion of 0 in x
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.422 * [taylor]: Taking taylor expansion of 0 in x
2.422 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.422 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.424 * [taylor]: Taking taylor expansion of 0 in x
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x))
2.424 * * * [progress]: simplifying candidates
2.425 * [simplify]: Simplifying:
  (* (/ y x) -1/2)
  (+ (- (log y) (log x)) (log -1/2))
  (+ (log (/ y x)) (log -1/2))
  (log (* (/ y x) -1/2))
  (exp (* (/ y x) -1/2))
  (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
  (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2))
  (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2)))
  (cbrt (* (/ y x) -1/2))
  (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2))
  (sqrt (* (/ y x) -1/2))
  (sqrt (* (/ y x) -1/2))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (* (/ (sqrt y) (sqrt x)) (sqrt -1/2))
  (* (/ (sqrt y) (sqrt x)) (sqrt -1/2))
  (* (/ y x) (* (cbrt -1/2) (cbrt -1/2)))
  (* (/ y x) (sqrt -1/2))
  (* (/ y x) 1)
  (* (cbrt (/ y x)) -1/2)
  (* (sqrt (/ y x)) -1/2)
  (* (/ (cbrt y) (cbrt x)) -1/2)
  (* (/ (cbrt y) (sqrt x)) -1/2)
  (* (/ (cbrt y) x) -1/2)
  (* (/ (sqrt y) (cbrt x)) -1/2)
  (* (/ (sqrt y) (sqrt x)) -1/2)
  (* (/ (sqrt y) x) -1/2)
  (* (/ y (cbrt x)) -1/2)
  (* (/ y (sqrt x)) -1/2)
  (* (/ y x) -1/2)
  (* (/ y x) -1/2)
  (* (/ 1 x) -1/2)
  (* y -1/2)
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
2.426 * * [simplify]: Extracting # 0 : cost  0
2.426 * * [simplify]: Extracting # 1 : cost  0
2.426 * * [simplify]: Extracting # 2 : cost  0
2.426 * * [simplify]: Extracting # 3 : cost  0
2.426 * * [simplify]: Extracting # 4 : cost  0
2.426 * * [simplify]: Extracting # 5 : cost  0
2.426 * * [simplify]: Extracting # 6 : cost  0
2.426 * * [simplify]: iteration  0 :  67  enodes  (cost  261 )
2.445 * * [simplify]: Extracting # 0 : cost  0
2.450 * * [simplify]: Extracting # 1 : cost  0
2.450 * * [simplify]: Extracting # 2 : cost  0
2.450 * * [simplify]: Extracting # 3 : cost  0
2.450 * * [simplify]: iteration  1 :  160  enodes  (cost  244 )
2.506 * * [simplify]: Extracting # 0 : cost  0
2.507 * * [simplify]: Extracting # 1 : cost  0
2.507 * * [simplify]: Extracting # 2 : cost  0
2.512 * * [simplify]: Extracting # 3 : cost  0
2.512 * * [simplify]: Extracting # 4 : cost  0
2.513 * * [simplify]: iteration  2 :  663  enodes  (cost  224 )
2.801 * * [simplify]: Extracting # 0 : cost  0
2.811 * * [simplify]: Extracting # 1 : cost  0
2.816 * * [simplify]: Extracting # 2 : cost  0
2.822 * * [simplify]: Extracting # 3 : cost  0
2.827 * * [simplify]: Extracting # 4 : cost  0
2.832 * * [simplify]: Extracting # 5 : cost  0
2.840 * * [simplify]: iteration done:  5000  enodes  (cost  224 )
2.841 * [simplify]: Simplified to:
  (* (/ y x) -1/2)
  (log (* -1/2 (/ y x)))
  (log (* -1/2 (/ y x)))
  (log (* -1/2 (/ y x)))
  (exp (* (/ y x) -1/2))
  (pow (* -1/2 (/ y x)) 3)
  (pow (* -1/2 (/ y x)) 3)
  (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2)))
  (cbrt (* (/ y x) -1/2))
  (pow (* -1/2 (/ y x)) 3)
  (sqrt (* (/ y x) -1/2))
  (sqrt (* (/ y x) -1/2))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (* (/ (sqrt y) (sqrt x)) (sqrt -1/2))
  (* (/ (sqrt y) (sqrt x)) (sqrt -1/2))
  (* (* (cbrt -1/2) (cbrt -1/2)) (/ y x))
  (* (sqrt -1/2) (/ y x))
  (/ y x)
  (* (cbrt (/ y x)) -1/2)
  (* (sqrt (/ y x)) -1/2)
  (* (/ (cbrt y) (cbrt x)) -1/2)
  (* (/ (cbrt y) (sqrt x)) -1/2)
  (* (/ (cbrt y) x) -1/2)
  (* (/ (sqrt y) (cbrt x)) -1/2)
  (* (/ (sqrt y) (sqrt x)) -1/2)
  (* (/ (sqrt y) x) -1/2)
  (* (/ y (cbrt x)) -1/2)
  (* (/ y (sqrt x)) -1/2)
  (* (/ y x) -1/2)
  (* (/ y x) -1/2)
  (/ -1/2 x)
  (* y -1/2)
  (* (/ y x) -1/2)
  (* (/ y x) -1/2)
  (* (/ y x) -1/2)
2.841 * * * [progress]: adding candidates to table
2.894 * [progress]: [Phase 3 of 3] Extracting.
2.894 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
2.894 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
2.894 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
2.909 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
2.925 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
2.948 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
2.982 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.006 * * * [regime]: Found split indices: #<option (#s(si 2 43) #s(si 0 196) #s(si 1 255))>
3.007 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.053 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3211815035672677e+154) #s(sp 0 x 1.7264250024804248e+131) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.053 * [simplify]: Simplifying:
  (if (<= x -1.3211815035672677e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.7264250024804248e+131) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
3.054 * * [simplify]: Extracting # 0 : cost  0
3.054 * * [simplify]: Extracting # 1 : cost  0
3.054 * * [simplify]: Extracting # 2 : cost  0
3.054 * * [simplify]: Extracting # 3 : cost  0
3.054 * * [simplify]: Extracting # 4 : cost  0
3.054 * * [simplify]: Extracting # 5 : cost  0
3.054 * * [simplify]: Extracting # 6 : cost  0
3.054 * * [simplify]: Extracting # 7 : cost  0
3.054 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
3.055 * * [simplify]: Extracting # 0 : cost  0
3.055 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
3.055 * * [simplify]: Extracting # 0 : cost  0
3.055 * * [simplify]: iteration done:  22  enodes  (cost  28 )
3.055 * [simplify]: Simplified to:
  (if (<= x -1.3211815035672677e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.7264250024804248e+131) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
3.802 * [regime-testing]: Baseline error score: 21.062382797849732
3.804 * [regime-testing]: Oracle error score: 0.0025003125390673834
3.808 * [regime-testing]: End program error score: 0.02005276118410637
3.842 * [regime-testing]: Target error score: 0.4621808138009714