45.682 * [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))
0.020 * * [simplify]: Extracting # 0 : cost  0
0.020 * * [simplify]: Extracting # 1 : cost  0
0.020 * * [simplify]: Extracting # 2 : cost  0
0.020 * * [simplify]: Extracting # 3 : cost  0
0.020 * * [simplify]: Extracting # 4 : cost  0
0.020 * * [simplify]: Extracting # 5 : cost  0
0.020 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: Extracting # 1 : cost  0
0.021 * * [simplify]: iteration  1 :  7  enodes  (cost  5 )
0.022 * * [simplify]: Extracting # 0 : cost  0
0.022 * * [simplify]: iteration done:  7  enodes  (cost  5 )
0.022 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.035 * * * [progress]: localizing error
0.042 * * * [progress]: generating rewritten candidates
0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.071 * * * [progress]: generating series expansions
0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.071 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [backup-simplify]: Simplify x into x
0.071 * [taylor]: Taking taylor expansion of y in y
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.072 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.072 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.072 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.072 * [backup-simplify]: Simplify (+ 0 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (+ 0 y) into y
0.073 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [backup-simplify]: Simplify y into y
0.074 * [backup-simplify]: Simplify (+ 0 y) into y
0.074 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.074 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.074 * [taylor]: Taking taylor expansion of y in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (sqrt 0) into 0
0.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.077 * [backup-simplify]: Simplify (+ 1 0) into 1
0.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.077 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.077 * [taylor]: Taking taylor expansion of 1/2 in y
0.077 * [backup-simplify]: Simplify 1/2 into 1/2
0.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.078 * [taylor]: Taking taylor expansion of y in y
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
0.078 * [backup-simplify]: Simplify (sqrt 0) into 0
0.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.081 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.081 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.081 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.083 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.084 * [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))))))
0.084 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.085 * [taylor]: Taking taylor expansion of x in y
0.085 * [backup-simplify]: Simplify x into x
0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.085 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ 0 1) into 1
0.086 * [backup-simplify]: Simplify (sqrt 0) into 0
0.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [backup-simplify]: Simplify y into y
0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.088 * [backup-simplify]: Simplify (+ 1 0) into 1
0.089 * [backup-simplify]: Simplify (sqrt 1) into 1
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.092 * [backup-simplify]: Simplify y into y
0.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.097 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.097 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.097 * [taylor]: Taking taylor expansion of 1/2 in y
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.104 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of -1/8 in y
0.104 * [backup-simplify]: Simplify -1/8 into -1/8
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.106 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.106 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.106 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.106 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.106 * [taylor]: Taking taylor expansion of y in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [backup-simplify]: Simplify (- 1) into -1
0.107 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.107 * [backup-simplify]: Simplify (sqrt 0) into 0
0.108 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.109 * [taylor]: Taking taylor expansion of x in x
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [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)
0.110 * [backup-simplify]: Simplify (+ 1 0) into 1
0.110 * [backup-simplify]: Simplify (sqrt 1) into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.112 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.112 * [taylor]: Taking taylor expansion of x in x
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [backup-simplify]: Simplify y into y
0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.114 * [backup-simplify]: Simplify (+ 1 0) into 1
0.114 * [backup-simplify]: Simplify (sqrt 1) into 1
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.116 * [taylor]: Taking taylor expansion of 1 in y
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.118 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.119 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.119 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.119 * [taylor]: Taking taylor expansion of -1/2 in y
0.119 * [backup-simplify]: Simplify -1/2 into -1/2
0.119 * [taylor]: Taking taylor expansion of y in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.119 * [backup-simplify]: Simplify -1/2 into -1/2
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.126 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.126 * [taylor]: Taking taylor expansion of -1/8 in y
0.126 * [backup-simplify]: Simplify -1/8 into -1/8
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in 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 (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.129 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.129 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.129 * [taylor]: Taking taylor expansion of x in y
0.129 * [backup-simplify]: Simplify x into x
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [backup-simplify]: Simplify (+ 0 y) into y
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [taylor]: Taking taylor expansion of 0 in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (+ 1 0) into 1
0.130 * [taylor]: Taking taylor expansion of 1 in y
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.131 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.131 * [taylor]: Taking taylor expansion of x in y
0.131 * [backup-simplify]: Simplify x into x
0.131 * [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
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
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
0.132 * [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
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [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)
0.138 * [backup-simplify]: Simplify (+ 1 0) into 1
0.138 * [taylor]: Taking taylor expansion of 1 in y
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.148 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.148 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.148 * [taylor]: Taking taylor expansion of x in y
0.148 * [backup-simplify]: Simplify x into x
0.148 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.148 * [taylor]: Taking taylor expansion of y in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.149 * [taylor]: Taking taylor expansion of y in x
0.149 * [backup-simplify]: Simplify y into y
0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.150 * [taylor]: Taking taylor expansion of y in x
0.150 * [backup-simplify]: Simplify y into y
0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.150 * [backup-simplify]: Simplify (+ 1 0) into 1
0.150 * [taylor]: Taking taylor expansion of 1 in y
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.152 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.152 * [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
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [backup-simplify]: Simplify (- 1) into -1
0.153 * [backup-simplify]: Simplify -1 into -1
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.154 * [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
0.154 * [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
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (- 0) into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.157 * [backup-simplify]: Simplify (- 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.157 * * * [progress]: simplifying candidates
0.158 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (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)))
  (expm1 (+ (* x x) y))
  (log1p (+ (* 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)
0.159 * * [simplify]: Extracting # 0 : cost  0
0.159 * * [simplify]: Extracting # 1 : cost  0
0.159 * * [simplify]: Extracting # 2 : cost  0
0.159 * * [simplify]: Extracting # 3 : cost  0
0.159 * * [simplify]: Extracting # 4 : cost  0
0.159 * * [simplify]: Extracting # 5 : cost  0
0.159 * * [simplify]: Extracting # 6 : cost  0
0.159 * * [simplify]: Extracting # 7 : cost  0
0.159 * * [simplify]: Extracting # 8 : cost  0
0.159 * * [simplify]: Extracting # 9 : cost  0
0.159 * * [simplify]: Extracting # 10 : cost  0
0.160 * * [simplify]: Extracting # 11 : cost  0
0.160 * * [simplify]: iteration  0 :  63  enodes  (cost  345 )
0.173 * * [simplify]: Extracting # 0 : cost  0
0.174 * * [simplify]: Extracting # 1 : cost  0
0.174 * * [simplify]: Extracting # 2 : cost  0
0.174 * * [simplify]: Extracting # 3 : cost  0
0.175 * * [simplify]: Extracting # 4 : cost  0
0.175 * * [simplify]: iteration  1 :  163  enodes  (cost  287 )
0.268 * * [simplify]: Extracting # 0 : cost  0
0.269 * * [simplify]: Extracting # 1 : cost  0
0.270 * * [simplify]: Extracting # 2 : cost  0
0.271 * * [simplify]: Extracting # 3 : cost  0
0.272 * * [simplify]: Extracting # 4 : cost  0
0.273 * * [simplify]: iteration  2 :  694  enodes  (cost  250 )
1.658 * * [simplify]: Extracting # 0 : cost  0
1.663 * * [simplify]: Extracting # 1 : cost  0
1.670 * * [simplify]: Extracting # 2 : cost  0
1.675 * * [simplify]: Extracting # 3 : cost  0
1.683 * * [simplify]: Extracting # 4 : cost  0
1.694 * * [simplify]: iteration  3 :  4984  enodes  (cost  248 )
4.206 * * [simplify]: Extracting # 0 : cost  0
4.212 * * [simplify]: iteration done:  5000  enodes  (cost  248 )
4.212 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (pow (sqrt (fma x x y)) 3)
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  (hypot (pow x 3) (pow y 3/2))
  (sqrt (fma y (- y (* x x)) (pow x 4)))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (expm1 (fma x x y))
  (log1p (fma x x y))
  (exp (fma x x y))
  (log (fma x x y))
  (exp (fma x x y))
  (* (cbrt (fma x x y)) (cbrt (fma x x y)))
  (cbrt (fma x x y))
  (pow (fma x x y) 3)
  (sqrt (fma x x y))
  (sqrt (fma x x y))
  (+ (pow y 3) (pow x 6))
  (fma y (- y (* x x)) (pow x 4))
  (- (pow x 4) (* y y))
  (- (* x x) y)
  (* +nan.0 (+ (- (* y y) y) (- (* x x))))
  (fma 1/2 (/ y x) x)
  (- (fma 1/2 (/ y x) x))
  (fma x x y)
  (fma x x y)
  (fma x x y)
4.213 * * * [progress]: adding candidates to table
4.314 * * [progress]: iteration 2 / 4
4.314 * * * [progress]: picking best candidate
4.318 * * * * [pick]: Picked  #<alt (λ (x y) (hypot x (sqrt y)))>
4.318 * * * [progress]: localizing error
4.323 * * * [progress]: generating rewritten candidates
4.323 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.323 * * * [progress]: generating series expansions
4.323 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.323 * [backup-simplify]: Simplify (hypot x (sqrt y)) into (hypot x (sqrt y))
4.323 * [approximate]: Taking taylor expansion of (hypot x (sqrt y)) in (x y) around 0
4.323 * [taylor]: Taking taylor expansion of (hypot x (sqrt y)) in y
4.323 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt y) (sqrt y))))
4.324 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt y) (sqrt y))) in y
4.324 * [taylor]: Taking taylor expansion of (* x x) in y
4.324 * [taylor]: Taking taylor expansion of x in y
4.324 * [backup-simplify]: Simplify x into x
4.324 * [taylor]: Taking taylor expansion of x in y
4.324 * [backup-simplify]: Simplify x into x
4.324 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in y
4.324 * [taylor]: Taking taylor expansion of (sqrt y) in y
4.324 * [taylor]: Taking taylor expansion of y in y
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify (sqrt 0) into 0
4.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.325 * [taylor]: Taking taylor expansion of (sqrt y) in y
4.325 * [taylor]: Taking taylor expansion of y in y
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (sqrt 0) into 0
4.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.326 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.326 * [backup-simplify]: Simplify (* 0 0) into 0
4.327 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.327 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.327 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.327 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
4.327 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.327 * [taylor]: Taking taylor expansion of (hypot x (sqrt y)) in x
4.327 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt y) (sqrt y))))
4.328 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt y) (sqrt y))) in x
4.328 * [taylor]: Taking taylor expansion of (* x x) in x
4.328 * [taylor]: Taking taylor expansion of x in x
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of x in x
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in x
4.328 * [taylor]: Taking taylor expansion of (sqrt y) in x
4.328 * [taylor]: Taking taylor expansion of y in x
4.328 * [backup-simplify]: Simplify y into y
4.328 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.328 * [taylor]: Taking taylor expansion of (sqrt y) in x
4.328 * [taylor]: Taking taylor expansion of y in x
4.328 * [backup-simplify]: Simplify y into y
4.328 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.328 * [backup-simplify]: Simplify (* 0 0) into 0
4.328 * [backup-simplify]: Simplify (* (sqrt y) (sqrt y)) into y
4.328 * [backup-simplify]: Simplify (+ 0 y) into y
4.328 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.329 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.329 * [backup-simplify]: Simplify (+ (* (sqrt y) 0) (* 0 (sqrt y))) into 0
4.329 * [backup-simplify]: Simplify (+ 0 0) into 0
4.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.329 * [taylor]: Taking taylor expansion of (hypot x (sqrt y)) in x
4.329 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt y) (sqrt y))))
4.329 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt y) (sqrt y))) in x
4.329 * [taylor]: Taking taylor expansion of (* x x) in x
4.329 * [taylor]: Taking taylor expansion of x in x
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [taylor]: Taking taylor expansion of x in x
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in x
4.329 * [taylor]: Taking taylor expansion of (sqrt y) in x
4.329 * [taylor]: Taking taylor expansion of y in x
4.329 * [backup-simplify]: Simplify y into y
4.330 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.330 * [taylor]: Taking taylor expansion of (sqrt y) in x
4.330 * [taylor]: Taking taylor expansion of y in x
4.330 * [backup-simplify]: Simplify y into y
4.330 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.330 * [backup-simplify]: Simplify (* 0 0) into 0
4.330 * [backup-simplify]: Simplify (* (sqrt y) (sqrt y)) into y
4.330 * [backup-simplify]: Simplify (+ 0 y) into y
4.330 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.331 * [backup-simplify]: Simplify (+ (* (sqrt y) 0) (* 0 (sqrt y))) into 0
4.331 * [backup-simplify]: Simplify (+ 0 0) into 0
4.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.331 * [taylor]: Taking taylor expansion of (sqrt y) in y
4.331 * [taylor]: Taking taylor expansion of y in y
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 1 into 1
4.331 * [backup-simplify]: Simplify (sqrt 0) into 0
4.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [taylor]: Taking taylor expansion of 0 in y
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt y))) into 0
4.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt y))) into 0
4.334 * [backup-simplify]: Simplify (+ (* (sqrt y) 0) (+ (* 0 0) (* 0 (sqrt y)))) into 0
4.334 * [backup-simplify]: Simplify (+ 1 0) into 1
4.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
4.334 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
4.334 * [taylor]: Taking taylor expansion of 1/2 in y
4.334 * [backup-simplify]: Simplify 1/2 into 1/2
4.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
4.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.335 * [taylor]: Taking taylor expansion of y in y
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.335 * [backup-simplify]: Simplify (sqrt 0) into 0
4.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.337 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
4.337 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.337 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.339 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.340 * [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))))))
4.340 * [backup-simplify]: Simplify (hypot (/ 1 x) (sqrt (/ 1 y))) into (hypot (/ 1 x) (sqrt (/ 1 y)))
4.340 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt (/ 1 y))) in (x y) around 0
4.340 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt (/ 1 y))) in y
4.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))))
4.340 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))) in y
4.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.340 * [taylor]: Taking taylor expansion of x in y
4.340 * [backup-simplify]: Simplify x into x
4.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.340 * [taylor]: Taking taylor expansion of x in y
4.340 * [backup-simplify]: Simplify x into x
4.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in y
4.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
4.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.340 * [taylor]: Taking taylor expansion of y in y
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.340 * [backup-simplify]: Simplify (/ 1 1) into 1
4.341 * [backup-simplify]: Simplify (sqrt 0) into 0
4.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
4.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.341 * [taylor]: Taking taylor expansion of y in y
4.341 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.342 * [backup-simplify]: Simplify (sqrt 0) into 0
4.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.343 * [backup-simplify]: Simplify (* 0 0) into 0
4.343 * [backup-simplify]: Simplify (+ 0 0) into 0
4.343 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
4.344 * [backup-simplify]: Simplify (+ 0 0) into 0
4.344 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
4.350 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- +nan.0)) into (- (/ 1 (pow x 2)) +nan.0)
4.350 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow x 2)) +nan.0)) into (sqrt (- (/ 1 (pow x 2)) +nan.0))
4.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.350 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.358 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
4.358 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.359 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 (pow x 2)) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 (pow x 2)) +nan.0))))
4.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt (/ 1 y))) in x
4.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))))
4.359 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))) in x
4.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.359 * [taylor]: Taking taylor expansion of x in x
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [backup-simplify]: Simplify (/ 1 1) into 1
4.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.359 * [taylor]: Taking taylor expansion of x in x
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [backup-simplify]: Simplify (/ 1 1) into 1
4.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in x
4.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
4.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.360 * [taylor]: Taking taylor expansion of y in x
4.360 * [backup-simplify]: Simplify y into y
4.360 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.360 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
4.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
4.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.360 * [taylor]: Taking taylor expansion of y in x
4.360 * [backup-simplify]: Simplify y into y
4.360 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.360 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
4.360 * [backup-simplify]: Simplify (* 1 1) into 1
4.361 * [backup-simplify]: Simplify (+ 1 0) into 1
4.361 * [backup-simplify]: Simplify (sqrt 1) into 1
4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.362 * [backup-simplify]: Simplify (+ 0 0) into 0
4.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt (/ 1 y))) in x
4.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))))
4.363 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt (/ 1 y)) (sqrt (/ 1 y)))) in x
4.363 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.363 * [taylor]: Taking taylor expansion of x in x
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (/ 1 1) into 1
4.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.363 * [taylor]: Taking taylor expansion of x in x
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (/ 1 1) into 1
4.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in x
4.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
4.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.364 * [taylor]: Taking taylor expansion of y in x
4.364 * [backup-simplify]: Simplify y into y
4.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.364 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
4.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
4.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x
4.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.364 * [taylor]: Taking taylor expansion of y in x
4.364 * [backup-simplify]: Simplify y into y
4.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.364 * [backup-simplify]: Simplify (sqrt (/ 1 y)) into (sqrt (/ 1 y))
4.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 y)))) into 0
4.364 * [backup-simplify]: Simplify (* 1 1) into 1
4.365 * [backup-simplify]: Simplify (+ 1 0) into 1
4.365 * [backup-simplify]: Simplify (sqrt 1) into 1
4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.366 * [backup-simplify]: Simplify (+ 0 0) into 0
4.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.367 * [taylor]: Taking taylor expansion of 1 in y
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [taylor]: Taking taylor expansion of 0 in y
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.369 * [backup-simplify]: Simplify (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) into (/ 1 y)
4.369 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.369 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
4.369 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.369 * [taylor]: Taking taylor expansion of 1/2 in y
4.369 * [backup-simplify]: Simplify 1/2 into 1/2
4.369 * [taylor]: Taking taylor expansion of y in y
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.372 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 y)) 0) (* 0 (sqrt (/ 1 y)))) into 0
4.372 * [backup-simplify]: Simplify (+ 0 0) into 0
4.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
4.373 * [taylor]: Taking taylor expansion of 0 in y
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.373 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (sqrt (/ 1 (- y)))) into (hypot (/ -1 x) (sqrt (/ -1 y)))
4.373 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt (/ -1 y))) in (x y) around 0
4.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt (/ -1 y))) in y
4.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))))
4.373 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))) in y
4.373 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.373 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.373 * [taylor]: Taking taylor expansion of -1 in y
4.373 * [backup-simplify]: Simplify -1 into -1
4.373 * [taylor]: Taking taylor expansion of x in y
4.373 * [backup-simplify]: Simplify x into x
4.373 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.373 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.373 * [taylor]: Taking taylor expansion of -1 in y
4.373 * [backup-simplify]: Simplify -1 into -1
4.373 * [taylor]: Taking taylor expansion of x in y
4.373 * [backup-simplify]: Simplify x into x
4.373 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.373 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (sqrt (/ -1 y))) in y
4.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y
4.373 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.373 * [taylor]: Taking taylor expansion of -1 in y
4.373 * [backup-simplify]: Simplify -1 into -1
4.373 * [taylor]: Taking taylor expansion of y in y
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (/ -1 1) into -1
4.374 * [backup-simplify]: Simplify (sqrt 0) into 0
4.375 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y
4.375 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.375 * [taylor]: Taking taylor expansion of -1 in y
4.375 * [backup-simplify]: Simplify -1 into -1
4.375 * [taylor]: Taking taylor expansion of y in y
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify 1 into 1
4.375 * [backup-simplify]: Simplify (/ -1 1) into -1
4.375 * [backup-simplify]: Simplify (sqrt 0) into 0
4.376 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.376 * [backup-simplify]: Simplify (* 0 0) into 0
4.376 * [backup-simplify]: Simplify (+ 0 0) into 0
4.377 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
4.377 * [backup-simplify]: Simplify (+ 0 0) into 0
4.377 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.383 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
4.384 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- +nan.0)) into (- (/ 1 (pow x 2)) +nan.0)
4.384 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow x 2)) +nan.0)) into (sqrt (- (/ 1 (pow x 2)) +nan.0))
4.384 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.384 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.385 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
4.403 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.404 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 (pow x 2)) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 (pow x 2)) +nan.0))))
4.404 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt (/ -1 y))) in x
4.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))))
4.404 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))) in x
4.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.404 * [taylor]: Taking taylor expansion of -1 in x
4.404 * [backup-simplify]: Simplify -1 into -1
4.404 * [taylor]: Taking taylor expansion of x in x
4.405 * [backup-simplify]: Simplify 0 into 0
4.405 * [backup-simplify]: Simplify 1 into 1
4.405 * [backup-simplify]: Simplify (/ -1 1) into -1
4.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.405 * [taylor]: Taking taylor expansion of -1 in x
4.405 * [backup-simplify]: Simplify -1 into -1
4.405 * [taylor]: Taking taylor expansion of x in x
4.405 * [backup-simplify]: Simplify 0 into 0
4.405 * [backup-simplify]: Simplify 1 into 1
4.405 * [backup-simplify]: Simplify (/ -1 1) into -1
4.406 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (sqrt (/ -1 y))) in x
4.406 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x
4.406 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.406 * [taylor]: Taking taylor expansion of -1 in x
4.406 * [backup-simplify]: Simplify -1 into -1
4.406 * [taylor]: Taking taylor expansion of y in x
4.406 * [backup-simplify]: Simplify y into y
4.406 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.406 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y))
4.406 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 y)))) into 0
4.406 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x
4.406 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.406 * [taylor]: Taking taylor expansion of -1 in x
4.406 * [backup-simplify]: Simplify -1 into -1
4.406 * [taylor]: Taking taylor expansion of y in x
4.406 * [backup-simplify]: Simplify y into y
4.407 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.407 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y))
4.407 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 y)))) into 0
4.407 * [backup-simplify]: Simplify (* -1 -1) into 1
4.408 * [backup-simplify]: Simplify (+ 1 0) into 1
4.408 * [backup-simplify]: Simplify (sqrt 1) into 1
4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.410 * [backup-simplify]: Simplify (+ 0 0) into 0
4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt (/ -1 y))) in x
4.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))))
4.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt (/ -1 y)) (sqrt (/ -1 y)))) in x
4.411 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.411 * [taylor]: Taking taylor expansion of -1 in x
4.411 * [backup-simplify]: Simplify -1 into -1
4.412 * [taylor]: Taking taylor expansion of x in x
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (/ -1 1) into -1
4.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.412 * [taylor]: Taking taylor expansion of -1 in x
4.412 * [backup-simplify]: Simplify -1 into -1
4.412 * [taylor]: Taking taylor expansion of x in x
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (/ -1 1) into -1
4.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (sqrt (/ -1 y))) in x
4.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x
4.412 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.412 * [taylor]: Taking taylor expansion of -1 in x
4.413 * [backup-simplify]: Simplify -1 into -1
4.413 * [taylor]: Taking taylor expansion of y in x
4.413 * [backup-simplify]: Simplify y into y
4.413 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.413 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y))
4.413 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 y)))) into 0
4.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x
4.413 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.413 * [taylor]: Taking taylor expansion of -1 in x
4.413 * [backup-simplify]: Simplify -1 into -1
4.413 * [taylor]: Taking taylor expansion of y in x
4.413 * [backup-simplify]: Simplify y into y
4.413 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.413 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y))
4.413 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 y)))) into 0
4.413 * [backup-simplify]: Simplify (* -1 -1) into 1
4.414 * [backup-simplify]: Simplify (+ 1 0) into 1
4.414 * [backup-simplify]: Simplify (sqrt 1) into 1
4.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.415 * [backup-simplify]: Simplify (+ 0 0) into 0
4.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.416 * [taylor]: Taking taylor expansion of 1 in y
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [taylor]: Taking taylor expansion of 0 in y
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 0 into 0
4.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.418 * [backup-simplify]: Simplify (* (sqrt (/ -1 y)) (sqrt (/ -1 y))) into (pow (sqrt (/ -1 y)) 2)
4.418 * [backup-simplify]: Simplify (+ 0 (pow (sqrt (/ -1 y)) 2)) into (pow (sqrt (/ -1 y)) 2)
4.419 * [backup-simplify]: Simplify (/ (- (pow (sqrt (/ -1 y)) 2) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (pow (sqrt (/ -1 y)) 2))
4.419 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sqrt (/ -1 y)) 2)) in y
4.419 * [taylor]: Taking taylor expansion of 1/2 in y
4.419 * [backup-simplify]: Simplify 1/2 into 1/2
4.419 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y
4.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y
4.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.419 * [taylor]: Taking taylor expansion of -1 in y
4.419 * [backup-simplify]: Simplify -1 into -1
4.419 * [taylor]: Taking taylor expansion of y in y
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 1 into 1
4.419 * [backup-simplify]: Simplify (/ -1 1) into -1
4.419 * [backup-simplify]: Simplify (sqrt 0) into 0
4.421 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.421 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0
4.421 * [backup-simplify]: Simplify (* 1/2 +nan.0) into +nan.0
4.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.421 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.424 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 y)) 0) (* 0 (sqrt (/ -1 y)))) into 0
4.425 * [backup-simplify]: Simplify (+ 0 0) into 0
4.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (pow (sqrt (/ -1 y)) 2)))))) (* 2 1)) into 0
4.426 * [taylor]: Taking taylor expansion of 0 in y
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.431 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0)
4.433 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0)
4.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.434 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* +nan.0 (* 1 (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* x y))))))))
4.434 * * * [progress]: simplifying candidates
4.434 * [simplify]: Simplifying:
  (expm1 (hypot x (sqrt y)))
  (log1p (hypot x (sqrt y)))
  (+ (* x x) (* (sqrt y) (sqrt y)))
  (log (hypot x (sqrt y)))
  (exp (hypot x (sqrt y)))
  (* (cbrt (hypot x (sqrt y))) (cbrt (hypot x (sqrt y))))
  (cbrt (hypot x (sqrt y)))
  (* (* (hypot x (sqrt y)) (hypot x (sqrt y))) (hypot x (sqrt y)))
  (sqrt (hypot x (sqrt y)))
  (sqrt (hypot x (sqrt y)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  x
  (- (+ x (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* x y))))))))
4.435 * * [simplify]: Extracting # 0 : cost  0
4.435 * * [simplify]: Extracting # 1 : cost  0
4.435 * * [simplify]: Extracting # 2 : cost  0
4.435 * * [simplify]: Extracting # 3 : cost  0
4.435 * * [simplify]: Extracting # 4 : cost  0
4.435 * * [simplify]: Extracting # 5 : cost  0
4.435 * * [simplify]: Extracting # 6 : cost  0
4.435 * * [simplify]: Extracting # 7 : cost  0
4.435 * * [simplify]: Extracting # 8 : cost  0
4.436 * * [simplify]: Extracting # 9 : cost  0
4.436 * * [simplify]: Extracting # 10 : cost  0
4.436 * * [simplify]: iteration  0 :  39  enodes  (cost  106 )
4.451 * * [simplify]: Extracting # 0 : cost  0
4.451 * * [simplify]: Extracting # 1 : cost  0
4.451 * * [simplify]: Extracting # 2 : cost  0
4.452 * * [simplify]: Extracting # 3 : cost  0
4.452 * * [simplify]: iteration  1 :  91  enodes  (cost  97 )
4.505 * * [simplify]: Extracting # 0 : cost  0
4.506 * * [simplify]: Extracting # 1 : cost  0
4.506 * * [simplify]: Extracting # 2 : cost  0
4.507 * * [simplify]: Extracting # 3 : cost  0
4.507 * * [simplify]: iteration  2 :  329  enodes  (cost  83 )
4.769 * * [simplify]: Extracting # 0 : cost  0
4.770 * * [simplify]: Extracting # 1 : cost  0
4.773 * * [simplify]: Extracting # 2 : cost  0
4.774 * * [simplify]: Extracting # 3 : cost  0
4.776 * * [simplify]: Extracting # 4 : cost  0
4.778 * * [simplify]: iteration  3 :  1880  enodes  (cost  80 )
7.353 * * [simplify]: Extracting # 0 : cost  0
7.370 * * [simplify]: Extracting # 1 : cost  0
7.379 * * [simplify]: Extracting # 2 : cost  0
7.392 * * [simplify]: Extracting # 3 : cost  0
7.401 * * [simplify]: iteration done:  5001  enodes  (cost  79 )
7.401 * [simplify]: Simplified to:
  (expm1 (hypot x (sqrt y)))
  (log1p (hypot x (sqrt y)))
  (fma x x y)
  (log (hypot x (sqrt y)))
  (exp (hypot x (sqrt y)))
  (* (cbrt (hypot x (sqrt y))) (cbrt (hypot x (sqrt y))))
  (cbrt (hypot x (sqrt y)))
  (pow (hypot x (sqrt y)) 3)
  (sqrt (hypot x (sqrt y)))
  (sqrt (hypot x (sqrt y)))
  (* +nan.0 (fma x (- x) (- (pow y 2) y)))
  x
  (- (- (/ +nan.0 x) (/ +nan.0 (* x y))) x)
7.401 * * * [progress]: adding candidates to table
7.450 * * [progress]: iteration 3 / 4
7.451 * * * [progress]: picking best candidate
7.454 * * * * [pick]: Picked  #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))>
7.454 * * * [progress]: localizing error
7.460 * * * [progress]: generating rewritten candidates
7.460 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
7.460 * * * [progress]: generating series expansions
7.460 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
7.460 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x)
7.460 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
7.460 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
7.461 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
7.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
7.461 * [taylor]: Taking taylor expansion of 1/2 in x
7.461 * [backup-simplify]: Simplify 1/2 into 1/2
7.461 * [taylor]: Taking taylor expansion of (/ y x) in x
7.461 * [taylor]: Taking taylor expansion of y in x
7.461 * [backup-simplify]: Simplify y into y
7.461 * [taylor]: Taking taylor expansion of x in x
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.461 * [backup-simplify]: Simplify (/ y 1) into y
7.461 * [taylor]: Taking taylor expansion of x in x
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.461 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
7.461 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
7.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
7.461 * [taylor]: Taking taylor expansion of 1/2 in y
7.461 * [backup-simplify]: Simplify 1/2 into 1/2
7.461 * [taylor]: Taking taylor expansion of (/ y x) in y
7.461 * [taylor]: Taking taylor expansion of y in y
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.461 * [taylor]: Taking taylor expansion of x in y
7.461 * [backup-simplify]: Simplify x into x
7.461 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.461 * [taylor]: Taking taylor expansion of x in y
7.461 * [backup-simplify]: Simplify x into x
7.461 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
7.461 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
7.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
7.461 * [taylor]: Taking taylor expansion of 1/2 in y
7.461 * [backup-simplify]: Simplify 1/2 into 1/2
7.461 * [taylor]: Taking taylor expansion of (/ y x) in y
7.461 * [taylor]: Taking taylor expansion of y in y
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.461 * [taylor]: Taking taylor expansion of x in y
7.461 * [backup-simplify]: Simplify x into x
7.462 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.462 * [taylor]: Taking taylor expansion of x in y
7.462 * [backup-simplify]: Simplify x into x
7.462 * [backup-simplify]: Simplify (+ 0 x) into x
7.462 * [taylor]: Taking taylor expansion of x in x
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.462 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x))
7.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
7.462 * [taylor]: Taking taylor expansion of 1/2 in x
7.462 * [backup-simplify]: Simplify 1/2 into 1/2
7.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.462 * [taylor]: Taking taylor expansion of x in x
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (/ 1 1) into 1
7.463 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.463 * [backup-simplify]: Simplify 1/2 into 1/2
7.463 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
7.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
7.463 * [backup-simplify]: Simplify (+ 0 0) into 0
7.463 * [taylor]: Taking taylor expansion of 0 in x
7.463 * [backup-simplify]: Simplify 0 into 0
7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.464 * [backup-simplify]: Simplify 0 into 0
7.464 * [backup-simplify]: Simplify 1 into 1
7.465 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
7.465 * [backup-simplify]: Simplify (+ 0 0) into 0
7.465 * [taylor]: Taking taylor expansion of 0 in x
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.468 * [taylor]: Taking taylor expansion of 0 in x
7.468 * [backup-simplify]: Simplify 0 into 0
7.469 * [backup-simplify]: Simplify 0 into 0
7.469 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x)))
7.471 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x))
7.471 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
7.471 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
7.472 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
7.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
7.472 * [taylor]: Taking taylor expansion of 1/2 in x
7.472 * [backup-simplify]: Simplify 1/2 into 1/2
7.472 * [taylor]: Taking taylor expansion of (/ x y) in x
7.472 * [taylor]: Taking taylor expansion of x in x
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [taylor]: Taking taylor expansion of y in x
7.472 * [backup-simplify]: Simplify y into y
7.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.472 * [taylor]: Taking taylor expansion of x in x
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.473 * [backup-simplify]: Simplify (/ 1 1) into 1
7.473 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
7.473 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
7.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.473 * [taylor]: Taking taylor expansion of 1/2 in y
7.473 * [backup-simplify]: Simplify 1/2 into 1/2
7.473 * [taylor]: Taking taylor expansion of (/ x y) in y
7.473 * [taylor]: Taking taylor expansion of x in y
7.473 * [backup-simplify]: Simplify x into x
7.473 * [taylor]: Taking taylor expansion of y in y
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.473 * [backup-simplify]: Simplify (/ x 1) into x
7.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.473 * [taylor]: Taking taylor expansion of x in y
7.473 * [backup-simplify]: Simplify x into x
7.473 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.473 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
7.473 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
7.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.473 * [taylor]: Taking taylor expansion of 1/2 in y
7.473 * [backup-simplify]: Simplify 1/2 into 1/2
7.473 * [taylor]: Taking taylor expansion of (/ x y) in y
7.474 * [taylor]: Taking taylor expansion of x in y
7.474 * [backup-simplify]: Simplify x into x
7.474 * [taylor]: Taking taylor expansion of y in y
7.474 * [backup-simplify]: Simplify 0 into 0
7.474 * [backup-simplify]: Simplify 1 into 1
7.474 * [backup-simplify]: Simplify (/ x 1) into x
7.474 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.474 * [taylor]: Taking taylor expansion of x in y
7.474 * [backup-simplify]: Simplify x into x
7.474 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.474 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
7.474 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
7.474 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.474 * [taylor]: Taking taylor expansion of 1/2 in x
7.474 * [backup-simplify]: Simplify 1/2 into 1/2
7.474 * [taylor]: Taking taylor expansion of x in x
7.474 * [backup-simplify]: Simplify 0 into 0
7.474 * [backup-simplify]: Simplify 1 into 1
7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
7.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
7.476 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
7.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.476 * [taylor]: Taking taylor expansion of x in x
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 1 into 1
7.476 * [backup-simplify]: Simplify (/ 1 1) into 1
7.476 * [backup-simplify]: Simplify 1 into 1
7.477 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.477 * [backup-simplify]: Simplify 0 into 0
7.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
7.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.479 * [backup-simplify]: Simplify (+ 0 0) into 0
7.479 * [taylor]: Taking taylor expansion of 0 in x
7.479 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.480 * [backup-simplify]: Simplify 0 into 0
7.481 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.481 * [backup-simplify]: Simplify 1/2 into 1/2
7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
7.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.484 * [backup-simplify]: Simplify (+ 0 0) into 0
7.484 * [taylor]: Taking taylor expansion of 0 in x
7.484 * [backup-simplify]: Simplify 0 into 0
7.485 * [backup-simplify]: Simplify 0 into 0
7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.485 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.486 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
7.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [taylor]: Taking taylor expansion of 0 in x
7.498 * [backup-simplify]: Simplify 0 into 0
7.498 * [backup-simplify]: Simplify 0 into 0
7.498 * [backup-simplify]: Simplify 0 into 0
7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.499 * [backup-simplify]: Simplify 0 into 0
7.499 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x)))
7.499 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x))
7.499 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
7.499 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
7.500 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
7.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
7.500 * [taylor]: Taking taylor expansion of 1/2 in x
7.500 * [backup-simplify]: Simplify 1/2 into 1/2
7.500 * [taylor]: Taking taylor expansion of (/ x y) in x
7.500 * [taylor]: Taking taylor expansion of x in x
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 1 into 1
7.500 * [taylor]: Taking taylor expansion of y in x
7.500 * [backup-simplify]: Simplify y into y
7.500 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.500 * [taylor]: Taking taylor expansion of -1 in x
7.500 * [backup-simplify]: Simplify -1 into -1
7.500 * [taylor]: Taking taylor expansion of x in x
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 1 into 1
7.501 * [backup-simplify]: Simplify (/ -1 1) into -1
7.501 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
7.501 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
7.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.501 * [taylor]: Taking taylor expansion of 1/2 in y
7.501 * [backup-simplify]: Simplify 1/2 into 1/2
7.501 * [taylor]: Taking taylor expansion of (/ x y) in y
7.501 * [taylor]: Taking taylor expansion of x in y
7.501 * [backup-simplify]: Simplify x into x
7.501 * [taylor]: Taking taylor expansion of y in y
7.501 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify 1 into 1
7.501 * [backup-simplify]: Simplify (/ x 1) into x
7.501 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.501 * [taylor]: Taking taylor expansion of -1 in y
7.501 * [backup-simplify]: Simplify -1 into -1
7.501 * [taylor]: Taking taylor expansion of x in y
7.501 * [backup-simplify]: Simplify x into x
7.501 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.501 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
7.502 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
7.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.502 * [taylor]: Taking taylor expansion of 1/2 in y
7.502 * [backup-simplify]: Simplify 1/2 into 1/2
7.502 * [taylor]: Taking taylor expansion of (/ x y) in y
7.502 * [taylor]: Taking taylor expansion of x in y
7.502 * [backup-simplify]: Simplify x into x
7.502 * [taylor]: Taking taylor expansion of y in y
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [backup-simplify]: Simplify (/ x 1) into x
7.502 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.502 * [taylor]: Taking taylor expansion of -1 in y
7.502 * [backup-simplify]: Simplify -1 into -1
7.502 * [taylor]: Taking taylor expansion of x in y
7.502 * [backup-simplify]: Simplify x into x
7.502 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.502 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
7.502 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
7.502 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.502 * [taylor]: Taking taylor expansion of 1/2 in x
7.502 * [backup-simplify]: Simplify 1/2 into 1/2
7.502 * [taylor]: Taking taylor expansion of x in x
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
7.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
7.504 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x))
7.504 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
7.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.504 * [taylor]: Taking taylor expansion of x in x
7.504 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [backup-simplify]: Simplify (/ 1 1) into 1
7.505 * [backup-simplify]: Simplify (- 1) into -1
7.505 * [backup-simplify]: Simplify -1 into -1
7.505 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.505 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
7.507 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.507 * [backup-simplify]: Simplify (+ 0 0) into 0
7.507 * [taylor]: Taking taylor expansion of 0 in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.508 * [backup-simplify]: Simplify (- 0) into 0
7.508 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.508 * [backup-simplify]: Simplify 1/2 into 1/2
7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
7.510 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.511 * [backup-simplify]: Simplify (+ 0 0) into 0
7.511 * [taylor]: Taking taylor expansion of 0 in x
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.511 * [backup-simplify]: Simplify (- 0) into 0
7.511 * [backup-simplify]: Simplify 0 into 0
7.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.512 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
7.515 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.515 * [backup-simplify]: Simplify (+ 0 0) into 0
7.515 * [taylor]: Taking taylor expansion of 0 in x
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.516 * [backup-simplify]: Simplify (- 0) into 0
7.516 * [backup-simplify]: Simplify 0 into 0
7.516 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x)))
7.516 * * * [progress]: simplifying candidates
7.516 * [simplify]: Simplifying:
  (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
7.517 * * [simplify]: Extracting # 0 : cost  0
7.517 * * [simplify]: Extracting # 1 : cost  0
7.517 * * [simplify]: Extracting # 2 : cost  0
7.517 * * [simplify]: Extracting # 3 : cost  0
7.517 * * [simplify]: Extracting # 4 : cost  0
7.517 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
7.519 * * [simplify]: Extracting # 0 : cost  0
7.519 * * [simplify]: Extracting # 1 : cost  0
7.519 * * [simplify]: Extracting # 2 : cost  0
7.519 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
7.523 * * [simplify]: Extracting # 0 : cost  0
7.523 * * [simplify]: Extracting # 1 : cost  0
7.523 * * [simplify]: Extracting # 2 : cost  0
7.523 * * [simplify]: iteration  2 :  48  enodes  (cost  95 )
7.537 * * [simplify]: Extracting # 0 : cost  0
7.537 * * [simplify]: Extracting # 1 : cost  0
7.538 * * [simplify]: Extracting # 2 : cost  0
7.538 * * [simplify]: Extracting # 3 : cost  0
7.538 * * [simplify]: Extracting # 4 : cost  0
7.539 * * [simplify]: iteration  3 :  157  enodes  (cost  95 )
7.669 * * [simplify]: Extracting # 0 : cost  0
7.670 * * [simplify]: Extracting # 1 : cost  0
7.670 * * [simplify]: Extracting # 2 : cost  0
7.671 * * [simplify]: Extracting # 3 : cost  0
7.672 * * [simplify]: Extracting # 4 : cost  0
7.673 * * [simplify]: Extracting # 5 : cost  0
7.673 * * [simplify]: iteration  4 :  683  enodes  (cost  95 )
9.236 * * [simplify]: Extracting # 0 : cost  0
9.247 * * [simplify]: Extracting # 1 : cost  0
9.253 * * [simplify]: Extracting # 2 : cost  0
9.259 * * [simplify]: Extracting # 3 : cost  0
9.269 * * [simplify]: Extracting # 4 : cost  0
9.274 * * [simplify]: iteration  5 :  3840  enodes  (cost  95 )
11.250 * * [simplify]: Extracting # 0 : cost  0
11.255 * * [simplify]: Extracting # 1 : cost  0
11.259 * * [simplify]: iteration done:  5000  enodes  (cost  95 )
11.259 * [simplify]: Simplified to:
  (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
11.259 * * * [progress]: adding candidates to table
11.293 * * [progress]: iteration 4 / 4
11.293 * * * [progress]: picking best candidate
11.296 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
11.296 * * * [progress]: localizing error
11.306 * * * [progress]: generating rewritten candidates
11.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
11.307 * * * [progress]: generating series expansions
11.307 * * * * [progress]: [ 1 / 1 ] generating series at (2)
11.308 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x)
11.308 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
11.308 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
11.308 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
11.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
11.308 * [taylor]: Taking taylor expansion of 1/2 in x
11.308 * [backup-simplify]: Simplify 1/2 into 1/2
11.308 * [taylor]: Taking taylor expansion of (/ y x) in x
11.308 * [taylor]: Taking taylor expansion of y in x
11.308 * [backup-simplify]: Simplify y into y
11.308 * [taylor]: Taking taylor expansion of x in x
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [backup-simplify]: Simplify (/ y 1) into y
11.308 * [taylor]: Taking taylor expansion of x in x
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
11.308 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
11.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
11.308 * [taylor]: Taking taylor expansion of 1/2 in y
11.308 * [backup-simplify]: Simplify 1/2 into 1/2
11.309 * [taylor]: Taking taylor expansion of (/ y x) in y
11.309 * [taylor]: Taking taylor expansion of y in y
11.309 * [backup-simplify]: Simplify 0 into 0
11.309 * [backup-simplify]: Simplify 1 into 1
11.309 * [taylor]: Taking taylor expansion of x in y
11.309 * [backup-simplify]: Simplify x into x
11.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
11.309 * [taylor]: Taking taylor expansion of x in y
11.309 * [backup-simplify]: Simplify x into x
11.309 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
11.309 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
11.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
11.309 * [taylor]: Taking taylor expansion of 1/2 in y
11.309 * [backup-simplify]: Simplify 1/2 into 1/2
11.309 * [taylor]: Taking taylor expansion of (/ y x) in y
11.309 * [taylor]: Taking taylor expansion of y in y
11.309 * [backup-simplify]: Simplify 0 into 0
11.309 * [backup-simplify]: Simplify 1 into 1
11.309 * [taylor]: Taking taylor expansion of x in y
11.309 * [backup-simplify]: Simplify x into x
11.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
11.309 * [taylor]: Taking taylor expansion of x in y
11.309 * [backup-simplify]: Simplify x into x
11.309 * [backup-simplify]: Simplify (+ 0 x) into x
11.309 * [taylor]: Taking taylor expansion of x in x
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 1 into 1
11.310 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
11.310 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x))
11.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
11.310 * [taylor]: Taking taylor expansion of 1/2 in x
11.310 * [backup-simplify]: Simplify 1/2 into 1/2
11.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.310 * [taylor]: Taking taylor expansion of x in x
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 1 into 1
11.311 * [backup-simplify]: Simplify (/ 1 1) into 1
11.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.311 * [backup-simplify]: Simplify 1/2 into 1/2
11.311 * [backup-simplify]: Simplify 0 into 0
11.311 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
11.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
11.312 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [taylor]: Taking taylor expansion of 0 in x
11.312 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.314 * [backup-simplify]: Simplify 0 into 0
11.314 * [backup-simplify]: Simplify 1 into 1
11.314 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
11.315 * [backup-simplify]: Simplify (+ 0 0) into 0
11.315 * [taylor]: Taking taylor expansion of 0 in x
11.315 * [backup-simplify]: Simplify 0 into 0
11.315 * [backup-simplify]: Simplify 0 into 0
11.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.317 * [backup-simplify]: Simplify 0 into 0
11.317 * [backup-simplify]: Simplify 0 into 0
11.318 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
11.327 * [backup-simplify]: Simplify (+ 0 0) into 0
11.327 * [taylor]: Taking taylor expansion of 0 in x
11.327 * [backup-simplify]: Simplify 0 into 0
11.327 * [backup-simplify]: Simplify 0 into 0
11.327 * [backup-simplify]: Simplify 0 into 0
11.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.328 * [backup-simplify]: Simplify 0 into 0
11.328 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x)))
11.328 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x))
11.329 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
11.329 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
11.329 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
11.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
11.329 * [taylor]: Taking taylor expansion of 1/2 in x
11.329 * [backup-simplify]: Simplify 1/2 into 1/2
11.329 * [taylor]: Taking taylor expansion of (/ x y) in x
11.329 * [taylor]: Taking taylor expansion of x in x
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 1 into 1
11.329 * [taylor]: Taking taylor expansion of y in x
11.329 * [backup-simplify]: Simplify y into y
11.329 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
11.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.329 * [taylor]: Taking taylor expansion of x in x
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 1 into 1
11.329 * [backup-simplify]: Simplify (/ 1 1) into 1
11.329 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
11.329 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
11.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
11.329 * [taylor]: Taking taylor expansion of 1/2 in y
11.329 * [backup-simplify]: Simplify 1/2 into 1/2
11.329 * [taylor]: Taking taylor expansion of (/ x y) in y
11.329 * [taylor]: Taking taylor expansion of x in y
11.329 * [backup-simplify]: Simplify x into x
11.329 * [taylor]: Taking taylor expansion of y in y
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 1 into 1
11.330 * [backup-simplify]: Simplify (/ x 1) into x
11.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y
11.330 * [taylor]: Taking taylor expansion of x in y
11.330 * [backup-simplify]: Simplify x into x
11.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
11.330 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
11.330 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
11.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
11.330 * [taylor]: Taking taylor expansion of 1/2 in y
11.330 * [backup-simplify]: Simplify 1/2 into 1/2
11.330 * [taylor]: Taking taylor expansion of (/ x y) in y
11.330 * [taylor]: Taking taylor expansion of x in y
11.330 * [backup-simplify]: Simplify x into x
11.330 * [taylor]: Taking taylor expansion of y in y
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [backup-simplify]: Simplify (/ x 1) into x
11.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y
11.330 * [taylor]: Taking taylor expansion of x in y
11.330 * [backup-simplify]: Simplify x into x
11.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
11.330 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
11.330 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
11.330 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.330 * [taylor]: Taking taylor expansion of 1/2 in x
11.330 * [backup-simplify]: Simplify 1/2 into 1/2
11.330 * [taylor]: Taking taylor expansion of x in x
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
11.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
11.331 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
11.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.331 * [taylor]: Taking taylor expansion of x in x
11.331 * [backup-simplify]: Simplify 0 into 0
11.331 * [backup-simplify]: Simplify 1 into 1
11.331 * [backup-simplify]: Simplify (/ 1 1) into 1
11.331 * [backup-simplify]: Simplify 1 into 1
11.332 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.332 * [backup-simplify]: Simplify 0 into 0
11.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
11.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
11.333 * [backup-simplify]: Simplify (+ 0 0) into 0
11.333 * [taylor]: Taking taylor expansion of 0 in x
11.333 * [backup-simplify]: Simplify 0 into 0
11.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.334 * [backup-simplify]: Simplify 0 into 0
11.334 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.334 * [backup-simplify]: Simplify 1/2 into 1/2
11.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
11.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.336 * [backup-simplify]: Simplify (+ 0 0) into 0
11.336 * [taylor]: Taking taylor expansion of 0 in x
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.337 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.338 * [backup-simplify]: Simplify 0 into 0
11.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
11.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.340 * [backup-simplify]: Simplify (+ 0 0) into 0
11.340 * [taylor]: Taking taylor expansion of 0 in x
11.340 * [backup-simplify]: Simplify 0 into 0
11.340 * [backup-simplify]: Simplify 0 into 0
11.340 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x)))
11.341 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x))
11.341 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
11.341 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
11.342 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
11.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
11.342 * [taylor]: Taking taylor expansion of 1/2 in x
11.342 * [backup-simplify]: Simplify 1/2 into 1/2
11.342 * [taylor]: Taking taylor expansion of (/ x y) in x
11.342 * [taylor]: Taking taylor expansion of x in x
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [taylor]: Taking taylor expansion of y in x
11.342 * [backup-simplify]: Simplify y into y
11.342 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
11.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.342 * [taylor]: Taking taylor expansion of -1 in x
11.342 * [backup-simplify]: Simplify -1 into -1
11.342 * [taylor]: Taking taylor expansion of x in x
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [backup-simplify]: Simplify (/ -1 1) into -1
11.342 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
11.342 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
11.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
11.342 * [taylor]: Taking taylor expansion of 1/2 in y
11.342 * [backup-simplify]: Simplify 1/2 into 1/2
11.342 * [taylor]: Taking taylor expansion of (/ x y) in y
11.342 * [taylor]: Taking taylor expansion of x in y
11.342 * [backup-simplify]: Simplify x into x
11.342 * [taylor]: Taking taylor expansion of y in y
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [backup-simplify]: Simplify (/ x 1) into x
11.342 * [taylor]: Taking taylor expansion of (/ -1 x) in y
11.343 * [taylor]: Taking taylor expansion of -1 in y
11.343 * [backup-simplify]: Simplify -1 into -1
11.343 * [taylor]: Taking taylor expansion of x in y
11.343 * [backup-simplify]: Simplify x into x
11.343 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
11.343 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
11.343 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
11.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
11.343 * [taylor]: Taking taylor expansion of 1/2 in y
11.343 * [backup-simplify]: Simplify 1/2 into 1/2
11.343 * [taylor]: Taking taylor expansion of (/ x y) in y
11.343 * [taylor]: Taking taylor expansion of x in y
11.343 * [backup-simplify]: Simplify x into x
11.343 * [taylor]: Taking taylor expansion of y in y
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.343 * [backup-simplify]: Simplify (/ x 1) into x
11.343 * [taylor]: Taking taylor expansion of (/ -1 x) in y
11.343 * [taylor]: Taking taylor expansion of -1 in y
11.343 * [backup-simplify]: Simplify -1 into -1
11.343 * [taylor]: Taking taylor expansion of x in y
11.343 * [backup-simplify]: Simplify x into x
11.343 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
11.343 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
11.343 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
11.343 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.343 * [taylor]: Taking taylor expansion of 1/2 in x
11.343 * [backup-simplify]: Simplify 1/2 into 1/2
11.343 * [taylor]: Taking taylor expansion of x in x
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
11.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
11.344 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x))
11.344 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
11.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.344 * [taylor]: Taking taylor expansion of x in x
11.344 * [backup-simplify]: Simplify 0 into 0
11.344 * [backup-simplify]: Simplify 1 into 1
11.345 * [backup-simplify]: Simplify (/ 1 1) into 1
11.345 * [backup-simplify]: Simplify (- 1) into -1
11.345 * [backup-simplify]: Simplify -1 into -1
11.345 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.345 * [backup-simplify]: Simplify 0 into 0
11.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
11.347 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
11.347 * [backup-simplify]: Simplify (+ 0 0) into 0
11.347 * [taylor]: Taking taylor expansion of 0 in x
11.347 * [backup-simplify]: Simplify 0 into 0
11.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.348 * [backup-simplify]: Simplify (- 0) into 0
11.348 * [backup-simplify]: Simplify 0 into 0
11.348 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.348 * [backup-simplify]: Simplify 1/2 into 1/2
11.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
11.350 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.350 * [backup-simplify]: Simplify (+ 0 0) into 0
11.350 * [taylor]: Taking taylor expansion of 0 in x
11.350 * [backup-simplify]: Simplify 0 into 0
11.350 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.351 * [backup-simplify]: Simplify (- 0) into 0
11.351 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.352 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
11.354 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
11.354 * [backup-simplify]: Simplify (+ 0 0) into 0
11.354 * [taylor]: Taking taylor expansion of 0 in x
11.354 * [backup-simplify]: Simplify 0 into 0
11.354 * [backup-simplify]: Simplify 0 into 0
11.354 * [backup-simplify]: Simplify 0 into 0
11.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.355 * [backup-simplify]: Simplify (- 0) into 0
11.355 * [backup-simplify]: Simplify 0 into 0
11.355 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x)))
11.355 * * * [progress]: simplifying candidates
11.356 * [simplify]: Simplifying:
  (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
11.356 * * [simplify]: Extracting # 0 : cost  0
11.356 * * [simplify]: Extracting # 1 : cost  0
11.356 * * [simplify]: Extracting # 2 : cost  0
11.356 * * [simplify]: Extracting # 3 : cost  0
11.356 * * [simplify]: Extracting # 4 : cost  0
11.356 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
11.359 * * [simplify]: Extracting # 0 : cost  0
11.359 * * [simplify]: Extracting # 1 : cost  0
11.359 * * [simplify]: Extracting # 2 : cost  0
11.359 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
11.363 * * [simplify]: Extracting # 0 : cost  0
11.363 * * [simplify]: Extracting # 1 : cost  0
11.363 * * [simplify]: Extracting # 2 : cost  0
11.364 * * [simplify]: iteration  2 :  48  enodes  (cost  95 )
11.382 * * [simplify]: Extracting # 0 : cost  0
11.383 * * [simplify]: Extracting # 1 : cost  0
11.383 * * [simplify]: Extracting # 2 : cost  0
11.383 * * [simplify]: Extracting # 3 : cost  0
11.383 * * [simplify]: Extracting # 4 : cost  0
11.383 * * [simplify]: iteration  3 :  157  enodes  (cost  95 )
11.859 * * [simplify]: Extracting # 0 : cost  0
11.860 * * [simplify]: Extracting # 1 : cost  0
11.861 * * [simplify]: Extracting # 2 : cost  0
11.862 * * [simplify]: Extracting # 3 : cost  0
11.862 * * [simplify]: Extracting # 4 : cost  0
11.863 * * [simplify]: Extracting # 5 : cost  0
11.864 * * [simplify]: iteration  4 :  683  enodes  (cost  95 )
13.303 * * [simplify]: Extracting # 0 : cost  0
13.311 * * [simplify]: Extracting # 1 : cost  0
13.322 * * [simplify]: Extracting # 2 : cost  0
13.329 * * [simplify]: Extracting # 3 : cost  0
13.335 * * [simplify]: Extracting # 4 : cost  0
13.341 * * [simplify]: iteration  5 :  3840  enodes  (cost  95 )
15.364 * * [simplify]: Extracting # 0 : cost  0
15.369 * * [simplify]: Extracting # 1 : cost  0
15.373 * * [simplify]: iteration done:  5000  enodes  (cost  95 )
15.373 * [simplify]: Simplified to:
  (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
15.373 * * * [progress]: adding candidates to table
15.413 * [progress]: [Phase 3 of 3] Extracting.
15.413 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.413 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
15.413 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.435 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.475 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.502 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.542 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.595 * * * [regime]: Found split indices: #<option (#s(si 2 45) #s(si 3 199) #s(si 1 255))>
15.596 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.657 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3300132858515627e+154) #s(sp 3 x 8.331092342254927e+95) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (hypot x (sqrt y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
15.658 * [simplify]: Simplifying:
  (if (<= x -1.3300132858515627e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 8.331092342254927e+95) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
15.658 * * [simplify]: Extracting # 0 : cost  0
15.658 * * [simplify]: Extracting # 1 : cost  0
15.658 * * [simplify]: Extracting # 2 : cost  0
15.658 * * [simplify]: Extracting # 3 : cost  0
15.658 * * [simplify]: Extracting # 4 : cost  0
15.658 * * [simplify]: Extracting # 5 : cost  0
15.658 * * [simplify]: Extracting # 6 : cost  0
15.658 * * [simplify]: Extracting # 7 : cost  0
15.658 * * [simplify]: iteration  0 :  15  enodes  (cost  27 )
15.660 * * [simplify]: Extracting # 0 : cost  0
15.660 * * [simplify]: iteration  1 :  16  enodes  (cost  27 )
15.661 * * [simplify]: Extracting # 0 : cost  0
15.661 * * [simplify]: iteration done:  16  enodes  (cost  27 )
15.661 * [simplify]: Simplified to:
  (if (<= x -1.3300132858515627e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 8.331092342254927e+95) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
16.855 * [regime-testing]: Baseline error score: 21.557944743092886
16.857 * [regime-testing]: Oracle error score: 0.0025808046242998778
16.862 * [regime-testing]: End program error score: 0.2284746115042476
16.904 * [regime-testing]: Target error score: 0.5191729141405681