23.912 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: Extracting # 2 : cost  0
0.031 * * [simplify]: Extracting # 3 : cost  0
0.031 * * [simplify]: Extracting # 4 : cost  0
0.031 * * [simplify]: Extracting # 5 : cost  0
0.031 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.032 * * [simplify]: Extracting # 0 : cost  0
0.032 * * [simplify]: Extracting # 1 : cost  0
0.032 * * [simplify]: iteration  1 :  7  enodes  (cost  5 )
0.034 * * [simplify]: Extracting # 0 : cost  0
0.034 * * [simplify]: iteration done:  7  enodes  (cost  5 )
0.034 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.042 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.081 * * * [progress]: generating series expansions
0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.081 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [backup-simplify]: Simplify x into x
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.081 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.081 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.081 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.082 * [backup-simplify]: Simplify (+ 0 1) into 1
0.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [taylor]: Taking taylor expansion of y in x
0.082 * [backup-simplify]: Simplify y into y
0.082 * [backup-simplify]: Simplify (+ 0 y) into y
0.082 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (+ 0 y) into y
0.083 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.083 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (sqrt 0) into 0
0.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (+ 1 0) into 1
0.085 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.085 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.085 * [taylor]: Taking taylor expansion of 1/2 in y
0.085 * [backup-simplify]: Simplify 1/2 into 1/2
0.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [backup-simplify]: Simplify (sqrt 0) into 0
0.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.088 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.088 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.088 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.090 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.091 * [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))))))
0.091 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [backup-simplify]: Simplify (+ 0 1) into 1
0.092 * [backup-simplify]: Simplify (sqrt 0) into 0
0.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.094 * [backup-simplify]: Simplify (+ 1 0) into 1
0.095 * [backup-simplify]: Simplify (sqrt 1) into 1
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.098 * [backup-simplify]: Simplify y into y
0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.098 * [backup-simplify]: Simplify (+ 1 0) into 1
0.098 * [backup-simplify]: Simplify (sqrt 1) into 1
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.100 * [taylor]: Taking taylor expansion of 1 in y
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.103 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.103 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.103 * [taylor]: Taking taylor expansion of 1/2 in y
0.103 * [backup-simplify]: Simplify 1/2 into 1/2
0.103 * [taylor]: Taking taylor expansion of y in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.103 * [backup-simplify]: Simplify 1/2 into 1/2
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.109 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.109 * [taylor]: Taking taylor expansion of -1/8 in y
0.109 * [backup-simplify]: Simplify -1/8 into -1/8
0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.109 * [taylor]: Taking taylor expansion of y in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.110 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.112 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.112 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.112 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.112 * [taylor]: Taking taylor expansion of x in y
0.112 * [backup-simplify]: Simplify x into x
0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [backup-simplify]: Simplify (- 1) into -1
0.113 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.113 * [backup-simplify]: Simplify (sqrt 0) into 0
0.114 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.114 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [backup-simplify]: Simplify y into y
0.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.115 * [backup-simplify]: Simplify (sqrt 1) into 1
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.116 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.116 * [taylor]: Taking taylor expansion of x in x
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.117 * [backup-simplify]: Simplify (/ 1 1) into 1
0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.117 * [taylor]: Taking taylor expansion of y in x
0.117 * [backup-simplify]: Simplify y into y
0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.117 * [backup-simplify]: Simplify (+ 1 0) into 1
0.118 * [backup-simplify]: Simplify (sqrt 1) into 1
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.119 * [taylor]: Taking taylor expansion of 1 in y
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.120 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.121 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.121 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.121 * [taylor]: Taking taylor expansion of -1/2 in y
0.121 * [backup-simplify]: Simplify -1/2 into -1/2
0.121 * [taylor]: Taking taylor expansion of y in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.122 * [backup-simplify]: Simplify -1/2 into -1/2
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.129 * [taylor]: Taking taylor expansion of -1/8 in y
0.129 * [backup-simplify]: Simplify -1/8 into -1/8
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in 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
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.132 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.132 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.132 * [taylor]: Taking taylor expansion of x in y
0.132 * [backup-simplify]: Simplify x into x
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x
0.132 * [backup-simplify]: Simplify y into y
0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x
0.132 * [backup-simplify]: Simplify y into y
0.132 * [backup-simplify]: Simplify (+ 0 y) into y
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [taylor]: Taking taylor expansion of 0 in y
0.133 * [backup-simplify]: Simplify 0 into 0
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
0.134 * [backup-simplify]: Simplify (+ 1 0) into 1
0.134 * [taylor]: Taking taylor expansion of 1 in y
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.135 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.135 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.135 * [taylor]: Taking taylor expansion of x in y
0.135 * [backup-simplify]: Simplify x into x
0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.137 * [taylor]: Taking taylor expansion of y in x
0.137 * [backup-simplify]: Simplify y into y
0.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.137 * [taylor]: Taking taylor expansion of x in x
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.138 * [taylor]: Taking taylor expansion of y in x
0.138 * [backup-simplify]: Simplify y into y
0.138 * [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
0.139 * [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
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.141 * [taylor]: Taking taylor expansion of y in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [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
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [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
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [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
0.147 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.147 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.147 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.147 * [taylor]: Taking taylor expansion of x in y
0.147 * [backup-simplify]: Simplify x into x
0.147 * [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
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
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 * [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
0.149 * [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
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.153 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [backup-simplify]: Simplify (- 1) into -1
0.154 * [backup-simplify]: Simplify -1 into -1
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.156 * [backup-simplify]: Simplify (- 0) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- 0) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.160 * [backup-simplify]: Simplify (- 0) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in y
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.160 * * * [progress]: simplifying candidates
0.161 * [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)
0.162 * * [simplify]: Extracting # 0 : cost  0
0.162 * * [simplify]: Extracting # 1 : cost  0
0.163 * * [simplify]: Extracting # 2 : cost  0
0.163 * * [simplify]: Extracting # 3 : cost  0
0.163 * * [simplify]: Extracting # 4 : cost  0
0.163 * * [simplify]: Extracting # 5 : cost  0
0.163 * * [simplify]: Extracting # 6 : cost  0
0.163 * * [simplify]: Extracting # 7 : cost  0
0.163 * * [simplify]: Extracting # 8 : cost  0
0.163 * * [simplify]: Extracting # 9 : cost  0
0.164 * * [simplify]: Extracting # 10 : cost  0
0.164 * * [simplify]: Extracting # 11 : cost  0
0.164 * * [simplify]: iteration  0 :  63  enodes  (cost  345 )
0.180 * * [simplify]: Extracting # 0 : cost  0
0.180 * * [simplify]: Extracting # 1 : cost  0
0.180 * * [simplify]: Extracting # 2 : cost  0
0.180 * * [simplify]: Extracting # 3 : cost  0
0.180 * * [simplify]: Extracting # 4 : cost  0
0.181 * * [simplify]: iteration  1 :  163  enodes  (cost  287 )
0.247 * * [simplify]: Extracting # 0 : cost  0
0.248 * * [simplify]: Extracting # 1 : cost  0
0.248 * * [simplify]: Extracting # 2 : cost  0
0.249 * * [simplify]: Extracting # 3 : cost  0
0.250 * * [simplify]: Extracting # 4 : cost  0
0.251 * * [simplify]: iteration  2 :  694  enodes  (cost  250 )
1.585 * * [simplify]: Extracting # 0 : cost  0
1.591 * * [simplify]: Extracting # 1 : cost  0
1.596 * * [simplify]: Extracting # 2 : cost  0
1.602 * * [simplify]: Extracting # 3 : cost  0
1.612 * * [simplify]: Extracting # 4 : cost  0
1.620 * * [simplify]: iteration  3 :  4984  enodes  (cost  248 )
4.435 * * [simplify]: Extracting # 0 : cost  0
4.441 * * [simplify]: iteration done:  5000  enodes  (cost  248 )
4.441 * [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)
4.442 * * * [progress]: adding candidates to table
4.562 * * [progress]: iteration 2 / 4
4.562 * * * [progress]: picking best candidate
4.571 * * * * [pick]: Picked  #<alt (λ (x y) (hypot x (sqrt y)))>
4.571 * * * [progress]: localizing error
4.578 * * * [progress]: generating rewritten candidates
4.579 * * * [progress]: generating series expansions
4.579 * * * [progress]: simplifying candidates
4.579 * [simplify]: Simplifying:
  
4.579 * * [simplify]: Extracting # 0 : cost  0
4.579 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
4.579 * * [simplify]: Extracting # 0 : cost  0
4.579 * * [simplify]: iteration done:  0  enodes  (cost  0 )
4.579 * [simplify]: Simplified to:
  
4.579 * * * [progress]: adding candidates to table
4.579 * * [progress]: iteration 3 / 4
4.579 * * * [progress]: picking best candidate
4.582 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
4.582 * * * [progress]: localizing error
4.588 * * * [progress]: generating rewritten candidates
4.588 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.588 * * * [progress]: generating series expansions
4.588 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.588 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x)
4.588 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
4.588 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
4.589 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.589 * [taylor]: Taking taylor expansion of 1/2 in x
4.589 * [backup-simplify]: Simplify 1/2 into 1/2
4.589 * [taylor]: Taking taylor expansion of (/ y x) in x
4.589 * [taylor]: Taking taylor expansion of y in x
4.589 * [backup-simplify]: Simplify y into y
4.589 * [taylor]: Taking taylor expansion of x in x
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (/ y 1) into y
4.589 * [taylor]: Taking taylor expansion of x in x
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
4.589 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.589 * [taylor]: Taking taylor expansion of 1/2 in y
4.589 * [backup-simplify]: Simplify 1/2 into 1/2
4.589 * [taylor]: Taking taylor expansion of (/ y x) in y
4.589 * [taylor]: Taking taylor expansion of y in y
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [taylor]: Taking taylor expansion of x in y
4.589 * [backup-simplify]: Simplify x into x
4.589 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.589 * [taylor]: Taking taylor expansion of x in y
4.589 * [backup-simplify]: Simplify x into x
4.589 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
4.589 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.589 * [taylor]: Taking taylor expansion of 1/2 in y
4.589 * [backup-simplify]: Simplify 1/2 into 1/2
4.589 * [taylor]: Taking taylor expansion of (/ y x) in y
4.589 * [taylor]: Taking taylor expansion of y in y
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [taylor]: Taking taylor expansion of x in y
4.589 * [backup-simplify]: Simplify x into x
4.590 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.590 * [taylor]: Taking taylor expansion of x in y
4.590 * [backup-simplify]: Simplify x into x
4.590 * [backup-simplify]: Simplify (+ 0 x) into x
4.590 * [taylor]: Taking taylor expansion of x in x
4.590 * [backup-simplify]: Simplify 0 into 0
4.590 * [backup-simplify]: Simplify 1 into 1
4.590 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
4.590 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x))
4.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
4.590 * [taylor]: Taking taylor expansion of 1/2 in x
4.590 * [backup-simplify]: Simplify 1/2 into 1/2
4.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.590 * [taylor]: Taking taylor expansion of x in x
4.590 * [backup-simplify]: Simplify 0 into 0
4.590 * [backup-simplify]: Simplify 1 into 1
4.590 * [backup-simplify]: Simplify (/ 1 1) into 1
4.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.591 * [backup-simplify]: Simplify 1/2 into 1/2
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
4.592 * [backup-simplify]: Simplify (+ 0 0) into 0
4.592 * [taylor]: Taking taylor expansion of 0 in x
4.592 * [backup-simplify]: Simplify 0 into 0
4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 1 into 1
4.593 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.594 * [backup-simplify]: Simplify (+ 0 0) into 0
4.594 * [taylor]: Taking taylor expansion of 0 in x
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.596 * [backup-simplify]: Simplify (+ 0 0) into 0
4.596 * [taylor]: Taking taylor expansion of 0 in x
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x)))
4.598 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x))
4.598 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
4.598 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
4.598 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.598 * [taylor]: Taking taylor expansion of 1/2 in x
4.598 * [backup-simplify]: Simplify 1/2 into 1/2
4.598 * [taylor]: Taking taylor expansion of (/ x y) in x
4.598 * [taylor]: Taking taylor expansion of x in x
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [taylor]: Taking taylor expansion of y in x
4.598 * [backup-simplify]: Simplify y into y
4.598 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.598 * [taylor]: Taking taylor expansion of x in x
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify (/ 1 1) into 1
4.599 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
4.599 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.599 * [taylor]: Taking taylor expansion of 1/2 in y
4.599 * [backup-simplify]: Simplify 1/2 into 1/2
4.599 * [taylor]: Taking taylor expansion of (/ x y) in y
4.599 * [taylor]: Taking taylor expansion of x in y
4.599 * [backup-simplify]: Simplify x into x
4.599 * [taylor]: Taking taylor expansion of y in y
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify (/ x 1) into x
4.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.599 * [taylor]: Taking taylor expansion of x in y
4.599 * [backup-simplify]: Simplify x into x
4.599 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.599 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
4.599 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.599 * [taylor]: Taking taylor expansion of 1/2 in y
4.599 * [backup-simplify]: Simplify 1/2 into 1/2
4.599 * [taylor]: Taking taylor expansion of (/ x y) in y
4.599 * [taylor]: Taking taylor expansion of x in y
4.599 * [backup-simplify]: Simplify x into x
4.599 * [taylor]: Taking taylor expansion of y in y
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify (/ x 1) into x
4.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.599 * [taylor]: Taking taylor expansion of x in y
4.599 * [backup-simplify]: Simplify x into x
4.599 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.600 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
4.600 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
4.600 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.600 * [taylor]: Taking taylor expansion of 1/2 in x
4.600 * [backup-simplify]: Simplify 1/2 into 1/2
4.600 * [taylor]: Taking taylor expansion of x in x
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
4.601 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
4.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.601 * [taylor]: Taking taylor expansion of x in x
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 1 into 1
4.601 * [backup-simplify]: Simplify (/ 1 1) into 1
4.601 * [backup-simplify]: Simplify 1 into 1
4.601 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.603 * [taylor]: Taking taylor expansion of 0 in x
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.604 * [backup-simplify]: Simplify 1/2 into 1/2
4.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [taylor]: Taking taylor expansion of 0 in x
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.609 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
4.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [taylor]: Taking taylor expansion of 0 in x
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x)))
4.623 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x))
4.624 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
4.624 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
4.624 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.624 * [taylor]: Taking taylor expansion of 1/2 in x
4.624 * [backup-simplify]: Simplify 1/2 into 1/2
4.624 * [taylor]: Taking taylor expansion of (/ x y) in x
4.624 * [taylor]: Taking taylor expansion of x in x
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 1 into 1
4.624 * [taylor]: Taking taylor expansion of y in x
4.624 * [backup-simplify]: Simplify y into y
4.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.624 * [taylor]: Taking taylor expansion of -1 in x
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [taylor]: Taking taylor expansion of x in x
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (/ -1 1) into -1
4.625 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
4.625 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.625 * [taylor]: Taking taylor expansion of 1/2 in y
4.625 * [backup-simplify]: Simplify 1/2 into 1/2
4.625 * [taylor]: Taking taylor expansion of (/ x y) in y
4.625 * [taylor]: Taking taylor expansion of x in y
4.625 * [backup-simplify]: Simplify x into x
4.625 * [taylor]: Taking taylor expansion of y in y
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (/ x 1) into x
4.626 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.626 * [taylor]: Taking taylor expansion of -1 in y
4.626 * [backup-simplify]: Simplify -1 into -1
4.626 * [taylor]: Taking taylor expansion of x in y
4.626 * [backup-simplify]: Simplify x into x
4.626 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.626 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
4.626 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.626 * [taylor]: Taking taylor expansion of 1/2 in y
4.626 * [backup-simplify]: Simplify 1/2 into 1/2
4.626 * [taylor]: Taking taylor expansion of (/ x y) in y
4.626 * [taylor]: Taking taylor expansion of x in y
4.626 * [backup-simplify]: Simplify x into x
4.626 * [taylor]: Taking taylor expansion of y in y
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (/ x 1) into x
4.626 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.626 * [taylor]: Taking taylor expansion of -1 in y
4.626 * [backup-simplify]: Simplify -1 into -1
4.626 * [taylor]: Taking taylor expansion of x in y
4.626 * [backup-simplify]: Simplify x into x
4.627 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.627 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
4.627 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
4.627 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.627 * [taylor]: Taking taylor expansion of 1/2 in x
4.627 * [backup-simplify]: Simplify 1/2 into 1/2
4.627 * [taylor]: Taking taylor expansion of x in x
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify 1 into 1
4.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
4.628 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x))
4.628 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
4.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.628 * [taylor]: Taking taylor expansion of x in x
4.628 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (/ 1 1) into 1
4.629 * [backup-simplify]: Simplify (- 1) into -1
4.629 * [backup-simplify]: Simplify -1 into -1
4.630 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.632 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.632 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [taylor]: Taking taylor expansion of 0 in x
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (- 0) into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.634 * [backup-simplify]: Simplify 1/2 into 1/2
4.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.638 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.638 * [backup-simplify]: Simplify (+ 0 0) into 0
4.638 * [taylor]: Taking taylor expansion of 0 in x
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.640 * [backup-simplify]: Simplify (- 0) into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.641 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
4.644 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.645 * [backup-simplify]: Simplify (+ 0 0) into 0
4.645 * [taylor]: Taking taylor expansion of 0 in x
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (- 0) into 0
4.646 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x)))
4.647 * * * [progress]: simplifying candidates
4.647 * [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)))
4.648 * * [simplify]: Extracting # 0 : cost  0
4.648 * * [simplify]: Extracting # 1 : cost  0
4.648 * * [simplify]: Extracting # 2 : cost  0
4.648 * * [simplify]: Extracting # 3 : cost  0
4.648 * * [simplify]: Extracting # 4 : cost  0
4.648 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
4.653 * * [simplify]: Extracting # 0 : cost  0
4.653 * * [simplify]: Extracting # 1 : cost  0
4.653 * * [simplify]: Extracting # 2 : cost  0
4.653 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
4.661 * * [simplify]: Extracting # 0 : cost  0
4.661 * * [simplify]: Extracting # 1 : cost  0
4.661 * * [simplify]: Extracting # 2 : cost  0
4.661 * * [simplify]: iteration  2 :  48  enodes  (cost  95 )
4.685 * * [simplify]: Extracting # 0 : cost  0
4.686 * * [simplify]: Extracting # 1 : cost  0
4.686 * * [simplify]: Extracting # 2 : cost  0
4.686 * * [simplify]: Extracting # 3 : cost  0
4.687 * * [simplify]: Extracting # 4 : cost  0
4.687 * * [simplify]: iteration  3 :  157  enodes  (cost  95 )
4.831 * * [simplify]: Extracting # 0 : cost  0
4.832 * * [simplify]: Extracting # 1 : cost  0
4.832 * * [simplify]: Extracting # 2 : cost  0
4.833 * * [simplify]: Extracting # 3 : cost  0
4.834 * * [simplify]: Extracting # 4 : cost  0
4.834 * * [simplify]: Extracting # 5 : cost  0
4.835 * * [simplify]: iteration  4 :  683  enodes  (cost  95 )
6.255 * * [simplify]: Extracting # 0 : cost  0
6.262 * * [simplify]: Extracting # 1 : cost  0
6.265 * * [simplify]: Extracting # 2 : cost  0
6.268 * * [simplify]: Extracting # 3 : cost  0
6.274 * * [simplify]: Extracting # 4 : cost  0
6.277 * * [simplify]: iteration  5 :  3840  enodes  (cost  95 )
8.153 * * [simplify]: Extracting # 0 : cost  0
8.162 * * [simplify]: Extracting # 1 : cost  0
8.169 * * [simplify]: iteration done:  5000  enodes  (cost  95 )
8.169 * [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)
8.169 * * * [progress]: adding candidates to table
8.198 * * [progress]: iteration 4 / 4
8.198 * * * [progress]: picking best candidate
8.199 * * * * [pick]: Picked  #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))>
8.200 * * * [progress]: localizing error
8.205 * * * [progress]: generating rewritten candidates
8.206 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
8.206 * * * [progress]: generating series expansions
8.206 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
8.206 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x)
8.206 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
8.207 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
8.207 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
8.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
8.207 * [taylor]: Taking taylor expansion of 1/2 in x
8.207 * [backup-simplify]: Simplify 1/2 into 1/2
8.207 * [taylor]: Taking taylor expansion of (/ y x) in x
8.207 * [taylor]: Taking taylor expansion of y in x
8.207 * [backup-simplify]: Simplify y into y
8.207 * [taylor]: Taking taylor expansion of x in x
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (/ y 1) into y
8.207 * [taylor]: Taking taylor expansion of x in x
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
8.207 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
8.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
8.207 * [taylor]: Taking taylor expansion of 1/2 in y
8.207 * [backup-simplify]: Simplify 1/2 into 1/2
8.207 * [taylor]: Taking taylor expansion of (/ y x) in y
8.207 * [taylor]: Taking taylor expansion of y in y
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [taylor]: Taking taylor expansion of x in y
8.207 * [backup-simplify]: Simplify x into x
8.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.207 * [taylor]: Taking taylor expansion of x in y
8.207 * [backup-simplify]: Simplify x into x
8.207 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
8.207 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
8.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
8.207 * [taylor]: Taking taylor expansion of 1/2 in y
8.207 * [backup-simplify]: Simplify 1/2 into 1/2
8.207 * [taylor]: Taking taylor expansion of (/ y x) in y
8.207 * [taylor]: Taking taylor expansion of y in y
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [taylor]: Taking taylor expansion of x in y
8.207 * [backup-simplify]: Simplify x into x
8.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.208 * [taylor]: Taking taylor expansion of x in y
8.208 * [backup-simplify]: Simplify x into x
8.208 * [backup-simplify]: Simplify (+ 0 x) into x
8.208 * [taylor]: Taking taylor expansion of x in x
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify 1 into 1
8.208 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
8.208 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x))
8.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
8.208 * [taylor]: Taking taylor expansion of 1/2 in x
8.208 * [backup-simplify]: Simplify 1/2 into 1/2
8.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.208 * [taylor]: Taking taylor expansion of x in x
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify 1 into 1
8.208 * [backup-simplify]: Simplify (/ 1 1) into 1
8.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.209 * [backup-simplify]: Simplify 1/2 into 1/2
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
8.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
8.209 * [backup-simplify]: Simplify (+ 0 0) into 0
8.209 * [taylor]: Taking taylor expansion of 0 in x
8.209 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
8.218 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [taylor]: Taking taylor expansion of 0 in x
8.218 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify 0 into 0
8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.221 * [backup-simplify]: Simplify 0 into 0
8.221 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
8.224 * [backup-simplify]: Simplify (+ 0 0) into 0
8.224 * [taylor]: Taking taylor expansion of 0 in x
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x)))
8.227 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x))
8.227 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
8.227 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
8.227 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
8.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
8.227 * [taylor]: Taking taylor expansion of 1/2 in x
8.227 * [backup-simplify]: Simplify 1/2 into 1/2
8.227 * [taylor]: Taking taylor expansion of (/ x y) in x
8.227 * [taylor]: Taking taylor expansion of x in x
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 1 into 1
8.227 * [taylor]: Taking taylor expansion of y in x
8.227 * [backup-simplify]: Simplify y into y
8.228 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.228 * [taylor]: Taking taylor expansion of x in x
8.228 * [backup-simplify]: Simplify 0 into 0
8.228 * [backup-simplify]: Simplify 1 into 1
8.228 * [backup-simplify]: Simplify (/ 1 1) into 1
8.228 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
8.228 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
8.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
8.228 * [taylor]: Taking taylor expansion of 1/2 in y
8.228 * [backup-simplify]: Simplify 1/2 into 1/2
8.228 * [taylor]: Taking taylor expansion of (/ x y) in y
8.228 * [taylor]: Taking taylor expansion of x in y
8.228 * [backup-simplify]: Simplify x into x
8.229 * [taylor]: Taking taylor expansion of y in y
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 1 into 1
8.229 * [backup-simplify]: Simplify (/ x 1) into x
8.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.229 * [taylor]: Taking taylor expansion of x in y
8.229 * [backup-simplify]: Simplify x into x
8.229 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.229 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
8.229 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
8.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
8.229 * [taylor]: Taking taylor expansion of 1/2 in y
8.229 * [backup-simplify]: Simplify 1/2 into 1/2
8.229 * [taylor]: Taking taylor expansion of (/ x y) in y
8.229 * [taylor]: Taking taylor expansion of x in y
8.229 * [backup-simplify]: Simplify x into x
8.229 * [taylor]: Taking taylor expansion of y in y
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 1 into 1
8.229 * [backup-simplify]: Simplify (/ x 1) into x
8.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.229 * [taylor]: Taking taylor expansion of x in y
8.229 * [backup-simplify]: Simplify x into x
8.229 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.230 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
8.230 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
8.230 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.230 * [taylor]: Taking taylor expansion of 1/2 in x
8.230 * [backup-simplify]: Simplify 1/2 into 1/2
8.230 * [taylor]: Taking taylor expansion of x in x
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify 1 into 1
8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
8.231 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
8.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.231 * [taylor]: Taking taylor expansion of x in x
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify 1 into 1
8.232 * [backup-simplify]: Simplify (/ 1 1) into 1
8.232 * [backup-simplify]: Simplify 1 into 1
8.232 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.232 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
8.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.235 * [backup-simplify]: Simplify (+ 0 0) into 0
8.235 * [taylor]: Taking taylor expansion of 0 in x
8.235 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.236 * [backup-simplify]: Simplify 1/2 into 1/2
8.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.240 * [backup-simplify]: Simplify (+ 0 0) into 0
8.240 * [taylor]: Taking taylor expansion of 0 in x
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.241 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.242 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
8.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.244 * [taylor]: Taking taylor expansion of 0 in x
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x)))
8.245 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x))
8.245 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
8.245 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
8.245 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
8.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
8.245 * [taylor]: Taking taylor expansion of 1/2 in x
8.245 * [backup-simplify]: Simplify 1/2 into 1/2
8.245 * [taylor]: Taking taylor expansion of (/ x y) in x
8.246 * [taylor]: Taking taylor expansion of x in x
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [taylor]: Taking taylor expansion of y in x
8.246 * [backup-simplify]: Simplify y into y
8.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.246 * [taylor]: Taking taylor expansion of -1 in x
8.246 * [backup-simplify]: Simplify -1 into -1
8.246 * [taylor]: Taking taylor expansion of x in x
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (/ -1 1) into -1
8.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
8.246 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
8.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
8.246 * [taylor]: Taking taylor expansion of 1/2 in y
8.246 * [backup-simplify]: Simplify 1/2 into 1/2
8.246 * [taylor]: Taking taylor expansion of (/ x y) in y
8.246 * [taylor]: Taking taylor expansion of x in y
8.246 * [backup-simplify]: Simplify x into x
8.246 * [taylor]: Taking taylor expansion of y in y
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (/ x 1) into x
8.246 * [taylor]: Taking taylor expansion of (/ -1 x) in y
8.246 * [taylor]: Taking taylor expansion of -1 in y
8.246 * [backup-simplify]: Simplify -1 into -1
8.246 * [taylor]: Taking taylor expansion of x in y
8.246 * [backup-simplify]: Simplify x into x
8.246 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
8.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
8.247 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
8.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
8.247 * [taylor]: Taking taylor expansion of 1/2 in y
8.247 * [backup-simplify]: Simplify 1/2 into 1/2
8.247 * [taylor]: Taking taylor expansion of (/ x y) in y
8.247 * [taylor]: Taking taylor expansion of x in y
8.247 * [backup-simplify]: Simplify x into x
8.247 * [taylor]: Taking taylor expansion of y in y
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.247 * [backup-simplify]: Simplify (/ x 1) into x
8.247 * [taylor]: Taking taylor expansion of (/ -1 x) in y
8.247 * [taylor]: Taking taylor expansion of -1 in y
8.247 * [backup-simplify]: Simplify -1 into -1
8.247 * [taylor]: Taking taylor expansion of x in y
8.247 * [backup-simplify]: Simplify x into x
8.247 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
8.247 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
8.247 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
8.247 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.247 * [taylor]: Taking taylor expansion of 1/2 in x
8.247 * [backup-simplify]: Simplify 1/2 into 1/2
8.247 * [taylor]: Taking taylor expansion of x in x
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
8.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
8.248 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x))
8.248 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
8.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.248 * [taylor]: Taking taylor expansion of x in x
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
8.249 * [backup-simplify]: Simplify (- 1) into -1
8.249 * [backup-simplify]: Simplify -1 into -1
8.249 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
8.250 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
8.251 * [backup-simplify]: Simplify (+ 0 0) into 0
8.251 * [taylor]: Taking taylor expansion of 0 in x
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.251 * [backup-simplify]: Simplify (- 0) into 0
8.251 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.252 * [backup-simplify]: Simplify 1/2 into 1/2
8.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.254 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.254 * [backup-simplify]: Simplify (+ 0 0) into 0
8.254 * [taylor]: Taking taylor expansion of 0 in x
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.255 * [backup-simplify]: Simplify (- 0) into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
8.258 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.258 * [backup-simplify]: Simplify (+ 0 0) into 0
8.258 * [taylor]: Taking taylor expansion of 0 in x
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify (- 0) into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x)))
8.260 * * * [progress]: simplifying candidates
8.260 * [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)))
8.260 * * [simplify]: Extracting # 0 : cost  0
8.260 * * [simplify]: Extracting # 1 : cost  0
8.260 * * [simplify]: Extracting # 2 : cost  0
8.260 * * [simplify]: Extracting # 3 : cost  0
8.260 * * [simplify]: Extracting # 4 : cost  0
8.260 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
8.262 * * [simplify]: Extracting # 0 : cost  0
8.263 * * [simplify]: Extracting # 1 : cost  0
8.263 * * [simplify]: Extracting # 2 : cost  0
8.263 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
8.266 * * [simplify]: Extracting # 0 : cost  0
8.266 * * [simplify]: Extracting # 1 : cost  0
8.266 * * [simplify]: Extracting # 2 : cost  0
8.266 * * [simplify]: iteration  2 :  48  enodes  (cost  95 )
8.280 * * [simplify]: Extracting # 0 : cost  0
8.281 * * [simplify]: Extracting # 1 : cost  0
8.281 * * [simplify]: Extracting # 2 : cost  0
8.281 * * [simplify]: Extracting # 3 : cost  0
8.281 * * [simplify]: Extracting # 4 : cost  0
8.282 * * [simplify]: iteration  3 :  157  enodes  (cost  95 )
8.380 * * [simplify]: Extracting # 0 : cost  0
8.382 * * [simplify]: Extracting # 1 : cost  0
8.383 * * [simplify]: Extracting # 2 : cost  0
8.384 * * [simplify]: Extracting # 3 : cost  0
8.385 * * [simplify]: Extracting # 4 : cost  0
8.386 * * [simplify]: Extracting # 5 : cost  0
8.387 * * [simplify]: iteration  4 :  683  enodes  (cost  95 )
9.835 * * [simplify]: Extracting # 0 : cost  0
9.841 * * [simplify]: Extracting # 1 : cost  0
9.847 * * [simplify]: Extracting # 2 : cost  0
9.850 * * [simplify]: Extracting # 3 : cost  0
9.853 * * [simplify]: Extracting # 4 : cost  0
9.856 * * [simplify]: iteration  5 :  3840  enodes  (cost  95 )
11.754 * * [simplify]: Extracting # 0 : cost  0
11.761 * * [simplify]: Extracting # 1 : cost  0
11.767 * * [simplify]: iteration done:  5000  enodes  (cost  95 )
11.767 * [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)
11.767 * * * [progress]: adding candidates to table
11.801 * [progress]: [Phase 3 of 3] Extracting.
11.801 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.801 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
11.801 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.825 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.853 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.890 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.935 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
11.974 * * * [regime]: Found split indices: #<option (#s(si 2 40) #s(si 0 202) #s(si 1 255))>
11.975 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
12.038 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3545742274115277e+154) #s(sp 0 x 8.970759006124064e+123) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) 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) (hypot x (sqrt y)))>)
12.039 * [simplify]: Simplifying:
  (if (<= x -1.3545742274115277e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 8.970759006124064e+123) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
12.039 * * [simplify]: Extracting # 0 : cost  0
12.039 * * [simplify]: Extracting # 1 : cost  0
12.039 * * [simplify]: Extracting # 2 : cost  0
12.039 * * [simplify]: Extracting # 3 : cost  0
12.039 * * [simplify]: Extracting # 4 : cost  0
12.039 * * [simplify]: Extracting # 5 : cost  0
12.039 * * [simplify]: Extracting # 6 : cost  0
12.039 * * [simplify]: Extracting # 7 : cost  0
12.039 * * [simplify]: iteration  0 :  15  enodes  (cost  27 )
12.039 * * [simplify]: Extracting # 0 : cost  0
12.040 * * [simplify]: iteration  1 :  16  enodes  (cost  27 )
12.040 * * [simplify]: Extracting # 0 : cost  0
12.040 * * [simplify]: iteration done:  16  enodes  (cost  27 )
12.040 * [simplify]: Simplified to:
  (if (<= x -1.3545742274115277e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 8.970759006124064e+123) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
13.052 * [regime-testing]: Baseline error score: 21.622452806600826
13.054 * [regime-testing]: Oracle error score: 0.004438262233563613
13.059 * [regime-testing]: End program error score: 0.04983998779662433
13.094 * [regime-testing]: Target error score: 0.4916066211479612