30.904 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.036 * * [simplify]: iteration 0: 5 enodes
0.037 * * [simplify]: iteration 1: 6 enodes
0.038 * * [simplify]: iteration complete: 6 enodes
0.039 * * [simplify]: Extracting #0: cost 1 inf + 0
0.039 * * [simplify]: Extracting #1: cost 2 inf + 0
0.039 * * [simplify]: Extracting #2: cost 4 inf + 0
0.039 * * [simplify]: Extracting #3: cost 4 inf + 1
0.039 * * [simplify]: Extracting #4: cost 3 inf + 2
0.039 * * [simplify]: Extracting #5: cost 0 inf + 247
0.039 * [simplify]: Simplified to:
  (sqrt (+ (* x x) y))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.046 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.046 * * * [progress]: localizing error
0.057 * * * [progress]: generating rewritten candidates
0.057 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.065 * * * [progress]: generating series expansions
0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.065 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [backup-simplify]: Simplify x into x
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.065 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.065 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [backup-simplify]: Simplify (+ 0 y) into y
0.066 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (+ 0 y) into y
0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.067 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (sqrt 0) into 0
0.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (+ 1 0) into 1
0.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.070 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.070 * [taylor]: Taking taylor expansion of 1/2 in y
0.070 * [backup-simplify]: Simplify 1/2 into 1/2
0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [backup-simplify]: Simplify (sqrt 0) into 0
0.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.072 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.072 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.074 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.074 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
0.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.075 * [backup-simplify]: Simplify (+ 0 1) into 1
0.076 * [backup-simplify]: Simplify (sqrt 0) into 0
0.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (* 1 1) into 1
0.077 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.077 * [backup-simplify]: Simplify (+ 1 0) into 1
0.078 * [backup-simplify]: Simplify (sqrt 1) into 1
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.080 * [backup-simplify]: Simplify (/ 1 1) into 1
0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [backup-simplify]: Simplify y into y
0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.080 * [backup-simplify]: Simplify (+ 1 0) into 1
0.080 * [backup-simplify]: Simplify (sqrt 1) into 1
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.082 * [taylor]: Taking taylor expansion of 1 in y
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.085 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.085 * [taylor]: Taking taylor expansion of (/ 1/2 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 y in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.086 * [backup-simplify]: Simplify 1/2 into 1/2
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.094 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.094 * [taylor]: Taking taylor expansion of -1/8 in y
0.094 * [backup-simplify]: Simplify -1/8 into -1/8
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.094 * [taylor]: Taking taylor expansion of y in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.095 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.098 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.098 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.098 * [taylor]: Taking taylor expansion of x in y
0.098 * [backup-simplify]: Simplify x into x
0.098 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.098 * [taylor]: Taking taylor expansion of y in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (/ 1 1) into 1
0.099 * [backup-simplify]: Simplify (- 1) into -1
0.100 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.100 * [backup-simplify]: Simplify (sqrt 0) into 0
0.102 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.102 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.102 * [taylor]: Taking taylor expansion of x in x
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.103 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.103 * [taylor]: Taking taylor expansion of y in x
0.103 * [backup-simplify]: Simplify y into y
0.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.103 * [backup-simplify]: Simplify (+ 1 0) into 1
0.104 * [backup-simplify]: Simplify (sqrt 1) into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.106 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [backup-simplify]: Simplify y into y
0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of 1 in y
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.113 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.115 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.115 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.115 * [taylor]: Taking taylor expansion of -1/2 in y
0.115 * [backup-simplify]: Simplify -1/2 into -1/2
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.115 * [backup-simplify]: Simplify -1/2 into -1/2
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [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
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.127 * [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]: simplifying candidates
0.129 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.130 * * [simplify]: iteration 0: 51 enodes
0.151 * * [simplify]: iteration 1: 122 enodes
0.197 * * [simplify]: iteration 2: 454 enodes
0.853 * * [simplify]: iteration 3: 2548 enodes
1.734 * * [simplify]: iteration complete: 5000 enodes
1.734 * * [simplify]: Extracting #0: cost 18 inf + 0
1.735 * * [simplify]: Extracting #1: cost 80 inf + 2
1.736 * * [simplify]: Extracting #2: cost 305 inf + 46
1.743 * * [simplify]: Extracting #3: cost 1653 inf + 5522
1.786 * * [simplify]: Extracting #4: cost 864 inf + 96137
1.840 * * [simplify]: Extracting #5: cost 56 inf + 152163
1.898 * * [simplify]: Extracting #6: cost 6 inf + 158999
1.954 * * [simplify]: Extracting #7: cost 2 inf + 160389
2.011 * * [simplify]: Extracting #8: cost 0 inf + 161395
2.067 * [simplify]: Simplified to:
  (log (sqrt (+ y (* x x))))
  (exp (sqrt (+ y (* x x))))
  (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))))
  (cbrt (sqrt (+ y (* x x))))
  (* (sqrt (+ y (* x x))) (+ y (* x x)))
  (fabs (cbrt (+ y (* x x))))
  (sqrt (cbrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (+ (* (* y y) y) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (* +nan.0 (+ (- (* x x) y) (* y (- y))))
  (+ (* 1/2 (/ y x)) x)
  (- (* -1/2 (/ y x)) x)
2.068 * * * [progress]: adding candidates to table
2.187 * * [progress]: iteration 2 / 4
2.188 * * * [progress]: picking best candidate
2.202 * * * * [pick]: Picked  #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
2.202 * * * [progress]: localizing error
2.218 * * * [progress]: generating rewritten candidates
2.218 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.228 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
2.239 * * * [progress]: generating series expansions
2.239 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.240 * [backup-simplify]: Simplify (- (* -1/2 (/ y x)) x) into (- (+ x (* 1/2 (/ y x))))
2.240 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0
2.240 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
2.240 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
2.240 * [taylor]: Taking taylor expansion of x in x
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
2.240 * [taylor]: Taking taylor expansion of 1/2 in x
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of (/ y x) in x
2.240 * [taylor]: Taking taylor expansion of y in x
2.240 * [backup-simplify]: Simplify y into y
2.240 * [taylor]: Taking taylor expansion of x in x
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [backup-simplify]: Simplify (/ y 1) into y
2.240 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
2.240 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
2.240 * [taylor]: Taking taylor expansion of x in y
2.240 * [backup-simplify]: Simplify x into x
2.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
2.240 * [taylor]: Taking taylor expansion of 1/2 in y
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of (/ y x) in y
2.240 * [taylor]: Taking taylor expansion of y in y
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [taylor]: Taking taylor expansion of x in y
2.240 * [backup-simplify]: Simplify x into x
2.240 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.240 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
2.240 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
2.240 * [taylor]: Taking taylor expansion of x in y
2.240 * [backup-simplify]: Simplify x into x
2.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
2.240 * [taylor]: Taking taylor expansion of 1/2 in y
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of (/ y x) in y
2.240 * [taylor]: Taking taylor expansion of y in y
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [taylor]: Taking taylor expansion of x in y
2.240 * [backup-simplify]: Simplify x into x
2.240 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.241 * [backup-simplify]: Simplify (+ x 0) into x
2.241 * [backup-simplify]: Simplify (- x) into (- x)
2.241 * [taylor]: Taking taylor expansion of (- x) in x
2.241 * [taylor]: Taking taylor expansion of x in x
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 1 into 1
2.241 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
2.241 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x))
2.241 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x)))
2.241 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x
2.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
2.241 * [taylor]: Taking taylor expansion of 1/2 in x
2.241 * [backup-simplify]: Simplify 1/2 into 1/2
2.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.241 * [taylor]: Taking taylor expansion of x in x
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 1 into 1
2.241 * [backup-simplify]: Simplify (/ 1 1) into 1
2.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.242 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.242 * [backup-simplify]: Simplify -1/2 into -1/2
2.242 * [backup-simplify]: Simplify (- 0) into 0
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
2.243 * [backup-simplify]: Simplify (+ 0 0) into 0
2.243 * [backup-simplify]: Simplify (- 0) into 0
2.243 * [taylor]: Taking taylor expansion of 0 in x
2.243 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.244 * [backup-simplify]: Simplify (- 0) into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify (- 1) into -1
2.245 * [backup-simplify]: Simplify -1 into -1
2.245 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.246 * [backup-simplify]: Simplify (+ 0 0) into 0
2.246 * [backup-simplify]: Simplify (- 0) into 0
2.246 * [taylor]: Taking taylor expansion of 0 in x
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.247 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.249 * [backup-simplify]: Simplify (+ 0 0) into 0
2.249 * [backup-simplify]: Simplify (- 0) into 0
2.249 * [taylor]: Taking taylor expansion of 0 in x
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.251 * [backup-simplify]: Simplify (- 0) into 0
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x))))
2.251 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 y) (/ 1 x))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x)))
2.251 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
2.251 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
2.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
2.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.251 * [taylor]: Taking taylor expansion of 1/2 in x
2.251 * [backup-simplify]: Simplify 1/2 into 1/2
2.251 * [taylor]: Taking taylor expansion of (/ x y) in x
2.251 * [taylor]: Taking taylor expansion of x in x
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [taylor]: Taking taylor expansion of y in x
2.251 * [backup-simplify]: Simplify y into y
2.251 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.251 * [taylor]: Taking taylor expansion of x in x
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (/ 1 1) into 1
2.252 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
2.252 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
2.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.252 * [taylor]: Taking taylor expansion of 1/2 in y
2.252 * [backup-simplify]: Simplify 1/2 into 1/2
2.252 * [taylor]: Taking taylor expansion of (/ x y) in y
2.252 * [taylor]: Taking taylor expansion of x in y
2.252 * [backup-simplify]: Simplify x into x
2.252 * [taylor]: Taking taylor expansion of y in y
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (/ x 1) into x
2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.252 * [taylor]: Taking taylor expansion of x in y
2.252 * [backup-simplify]: Simplify x into x
2.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.252 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
2.252 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
2.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.252 * [taylor]: Taking taylor expansion of 1/2 in y
2.252 * [backup-simplify]: Simplify 1/2 into 1/2
2.252 * [taylor]: Taking taylor expansion of (/ x y) in y
2.252 * [taylor]: Taking taylor expansion of x in y
2.252 * [backup-simplify]: Simplify x into x
2.252 * [taylor]: Taking taylor expansion of y in y
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (/ x 1) into x
2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.252 * [taylor]: Taking taylor expansion of x in y
2.252 * [backup-simplify]: Simplify x into x
2.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.252 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
2.252 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
2.252 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
2.252 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
2.252 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
2.252 * [taylor]: Taking taylor expansion of 1/2 in x
2.252 * [backup-simplify]: Simplify 1/2 into 1/2
2.252 * [taylor]: Taking taylor expansion of x in x
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
2.253 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
2.253 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
2.253 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
2.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.253 * [taylor]: Taking taylor expansion of x in x
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (/ 1 1) into 1
2.254 * [backup-simplify]: Simplify (- 1) into -1
2.254 * [backup-simplify]: Simplify -1 into -1
2.254 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.255 * [backup-simplify]: Simplify (- 0) into 0
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.256 * [backup-simplify]: Simplify (+ 0 0) into 0
2.256 * [backup-simplify]: Simplify (- 0) into 0
2.256 * [taylor]: Taking taylor expansion of 0 in x
2.256 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.257 * [backup-simplify]: Simplify (- 0) into 0
2.257 * [backup-simplify]: Simplify 0 into 0
2.258 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.258 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.258 * [backup-simplify]: Simplify -1/2 into -1/2
2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (- 0) into 0
2.260 * [taylor]: Taking taylor expansion of 0 in x
2.260 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.261 * [backup-simplify]: Simplify (- 0) into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.262 * [backup-simplify]: Simplify (- 0) into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
2.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.265 * [backup-simplify]: Simplify (+ 0 0) into 0
2.265 * [backup-simplify]: Simplify (- 0) into 0
2.265 * [taylor]: Taking taylor expansion of 0 in x
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.266 * [backup-simplify]: Simplify (- 0) into 0
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x))))
2.266 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y)))
2.266 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
2.266 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
2.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.266 * [taylor]: Taking taylor expansion of x in x
2.266 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [backup-simplify]: Simplify (/ 1 1) into 1
2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.267 * [taylor]: Taking taylor expansion of 1/2 in x
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of (/ x y) in x
2.267 * [taylor]: Taking taylor expansion of x in x
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of y in x
2.267 * [backup-simplify]: Simplify y into y
2.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.267 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
2.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.267 * [taylor]: Taking taylor expansion of 1/2 in y
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of (/ x y) in y
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [taylor]: Taking taylor expansion of y in y
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [backup-simplify]: Simplify (/ x 1) into x
2.267 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
2.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.267 * [taylor]: Taking taylor expansion of 1/2 in y
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of (/ x y) in y
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [taylor]: Taking taylor expansion of y in y
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [backup-simplify]: Simplify (/ x 1) into x
2.268 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
2.268 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
2.268 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x))
2.268 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
2.268 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
2.268 * [taylor]: Taking taylor expansion of 1/2 in x
2.268 * [backup-simplify]: Simplify 1/2 into 1/2
2.268 * [taylor]: Taking taylor expansion of x in x
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
2.269 * [backup-simplify]: Simplify (- 0) into 0
2.269 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
2.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.269 * [taylor]: Taking taylor expansion of x in x
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (/ 1 1) into 1
2.269 * [backup-simplify]: Simplify 1 into 1
2.270 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.270 * [backup-simplify]: Simplify (- 0) into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.272 * [backup-simplify]: Simplify (- 0) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.273 * [taylor]: Taking taylor expansion of 0 in x
2.273 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.275 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.275 * [backup-simplify]: Simplify -1/2 into -1/2
2.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.279 * [backup-simplify]: Simplify (- 0) into 0
2.279 * [backup-simplify]: Simplify (+ 0 0) into 0
2.279 * [taylor]: Taking taylor expansion of 0 in x
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.282 * [backup-simplify]: Simplify (- 0) into 0
2.282 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
2.286 * [backup-simplify]: Simplify (- 0) into 0
2.287 * [backup-simplify]: Simplify (+ 0 0) into 0
2.287 * [taylor]: Taking taylor expansion of 0 in x
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x))))
2.288 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
2.288 * [backup-simplify]: Simplify (* -1/2 (/ y x)) into (* -1/2 (/ y x))
2.288 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0
2.288 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
2.289 * [taylor]: Taking taylor expansion of -1/2 in x
2.289 * [backup-simplify]: Simplify -1/2 into -1/2
2.289 * [taylor]: Taking taylor expansion of (/ y x) in x
2.289 * [taylor]: Taking taylor expansion of y in x
2.289 * [backup-simplify]: Simplify y into y
2.289 * [taylor]: Taking taylor expansion of x in x
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 1 into 1
2.289 * [backup-simplify]: Simplify (/ y 1) into y
2.289 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
2.289 * [taylor]: Taking taylor expansion of -1/2 in y
2.289 * [backup-simplify]: Simplify -1/2 into -1/2
2.289 * [taylor]: Taking taylor expansion of (/ y x) in y
2.289 * [taylor]: Taking taylor expansion of y in y
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 1 into 1
2.289 * [taylor]: Taking taylor expansion of x in y
2.289 * [backup-simplify]: Simplify x into x
2.289 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.289 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
2.289 * [taylor]: Taking taylor expansion of -1/2 in y
2.289 * [backup-simplify]: Simplify -1/2 into -1/2
2.289 * [taylor]: Taking taylor expansion of (/ y x) in y
2.289 * [taylor]: Taking taylor expansion of y in y
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 1 into 1
2.289 * [taylor]: Taking taylor expansion of x in y
2.289 * [backup-simplify]: Simplify x into x
2.289 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.289 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x)
2.289 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
2.290 * [taylor]: Taking taylor expansion of -1/2 in x
2.290 * [backup-simplify]: Simplify -1/2 into -1/2
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.290 * [backup-simplify]: Simplify -1/2 into -1/2
2.291 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.291 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0
2.291 * [taylor]: Taking taylor expansion of 0 in x
2.291 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.293 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.293 * [taylor]: Taking taylor expansion of 0 in x
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.296 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.296 * [taylor]: Taking taylor expansion of 0 in x
2.296 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x))
2.297 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 y) (/ 1 x))) into (* -1/2 (/ x y))
2.297 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
2.297 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
2.297 * [taylor]: Taking taylor expansion of -1/2 in x
2.297 * [backup-simplify]: Simplify -1/2 into -1/2
2.297 * [taylor]: Taking taylor expansion of (/ x y) in x
2.297 * [taylor]: Taking taylor expansion of x in x
2.297 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [taylor]: Taking taylor expansion of y in x
2.298 * [backup-simplify]: Simplify y into y
2.298 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.298 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.298 * [taylor]: Taking taylor expansion of -1/2 in y
2.298 * [backup-simplify]: Simplify -1/2 into -1/2
2.298 * [taylor]: Taking taylor expansion of (/ x y) in y
2.298 * [taylor]: Taking taylor expansion of x in y
2.298 * [backup-simplify]: Simplify x into x
2.298 * [taylor]: Taking taylor expansion of y in y
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (/ x 1) into x
2.298 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.298 * [taylor]: Taking taylor expansion of -1/2 in y
2.298 * [backup-simplify]: Simplify -1/2 into -1/2
2.298 * [taylor]: Taking taylor expansion of (/ x y) in y
2.298 * [taylor]: Taking taylor expansion of x in y
2.298 * [backup-simplify]: Simplify x into x
2.298 * [taylor]: Taking taylor expansion of y in y
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (/ x 1) into x
2.298 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
2.298 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
2.298 * [taylor]: Taking taylor expansion of -1/2 in x
2.298 * [backup-simplify]: Simplify -1/2 into -1/2
2.298 * [taylor]: Taking taylor expansion of x in x
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.299 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
2.299 * [backup-simplify]: Simplify -1/2 into -1/2
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
2.301 * [taylor]: Taking taylor expansion of 0 in x
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.302 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.307 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.307 * [taylor]: Taking taylor expansion of 0 in x
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.310 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.310 * [taylor]: Taking taylor expansion of 0 in x
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x))
2.310 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1/2 (/ x y))
2.310 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
2.310 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
2.310 * [taylor]: Taking taylor expansion of -1/2 in x
2.310 * [backup-simplify]: Simplify -1/2 into -1/2
2.310 * [taylor]: Taking taylor expansion of (/ x y) in x
2.310 * [taylor]: Taking taylor expansion of x in x
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.311 * [taylor]: Taking taylor expansion of y in x
2.311 * [backup-simplify]: Simplify y into y
2.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.311 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.311 * [taylor]: Taking taylor expansion of -1/2 in y
2.311 * [backup-simplify]: Simplify -1/2 into -1/2
2.311 * [taylor]: Taking taylor expansion of (/ x y) in y
2.311 * [taylor]: Taking taylor expansion of x in y
2.311 * [backup-simplify]: Simplify x into x
2.311 * [taylor]: Taking taylor expansion of y in y
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (/ x 1) into x
2.311 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
2.311 * [taylor]: Taking taylor expansion of -1/2 in y
2.311 * [backup-simplify]: Simplify -1/2 into -1/2
2.311 * [taylor]: Taking taylor expansion of (/ x y) in y
2.311 * [taylor]: Taking taylor expansion of x in y
2.311 * [backup-simplify]: Simplify x into x
2.311 * [taylor]: Taking taylor expansion of y in y
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (/ x 1) into x
2.311 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
2.311 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
2.311 * [taylor]: Taking taylor expansion of -1/2 in x
2.311 * [backup-simplify]: Simplify -1/2 into -1/2
2.311 * [taylor]: Taking taylor expansion of x in x
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
2.311 * [backup-simplify]: Simplify -1/2 into -1/2
2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
2.312 * [taylor]: Taking taylor expansion of 0 in x
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.314 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.314 * [taylor]: Taking taylor expansion of 0 in x
2.314 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.315 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.317 * [taylor]: Taking taylor expansion of 0 in x
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x))
2.317 * * * [progress]: simplifying candidates
2.318 * [simplify]: Simplifying:
  (/ (exp (* -1/2 (/ y x))) (exp x))
  (log (- (* -1/2 (/ y x)) x))
  (exp (- (* -1/2 (/ y x)) x))
  (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x)))
  (cbrt (- (* -1/2 (/ y x)) x))
  (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x))
  (sqrt (- (* -1/2 (/ y x)) x))
  (sqrt (- (* -1/2 (/ y x)) x))
  (- (pow (* -1/2 (/ y x)) 3) (pow x 3))
  (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x)))
  (- x)
  (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x))
  (+ (* -1/2 (/ y x)) x)
  (- x)
  (* -1/2 (/ y x))
  (+ (log -1/2) (- (log y) (log x)))
  (+ (log -1/2) (log (/ y x)))
  (log (* -1/2 (/ y x)))
  (exp (* -1/2 (/ y x)))
  (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x))))
  (cbrt (* -1/2 (/ y x)))
  (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x)))
  (sqrt (* -1/2 (/ y x)))
  (sqrt (* -1/2 (/ y x)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* -1/2 (sqrt (/ y x)))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* -1/2 (/ (sqrt y) (sqrt x)))
  (* -1/2 (/ (sqrt y) 1))
  (* -1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* -1/2 (/ 1 (sqrt x)))
  (* -1/2 (/ 1 1))
  (* -1/2 1)
  (* -1/2 y)
  (* (cbrt -1/2) (/ y x))
  (* (sqrt -1/2) (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 y)
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
2.318 * * [simplify]: iteration 0: 92 enodes
2.345 * * [simplify]: iteration 1: 234 enodes
2.455 * * [simplify]: iteration 2: 734 enodes
3.357 * * [simplify]: iteration 3: 3383 enodes
4.092 * * [simplify]: iteration complete: 5001 enodes
4.092 * * [simplify]: Extracting #0: cost 35 inf + 0
4.094 * * [simplify]: Extracting #1: cost 830 inf + 1
4.099 * * [simplify]: Extracting #2: cost 1534 inf + 9315
4.130 * * [simplify]: Extracting #3: cost 593 inf + 163144
4.185 * * [simplify]: Extracting #4: cost 95 inf + 273708
4.270 * * [simplify]: Extracting #5: cost 5 inf + 309896
4.358 * * [simplify]: Extracting #6: cost 0 inf + 312367
4.418 * [simplify]: Simplified to:
  (exp (- (* (/ -1/2 x) y) x))
  (log (- (* (/ -1/2 x) y) x))
  (exp (- (* (/ -1/2 x) y) x))
  (* (cbrt (- (* (/ -1/2 x) y) x)) (cbrt (- (* (/ -1/2 x) y) x)))
  (cbrt (- (* (/ -1/2 x) y) x))
  (* (* (- (* (/ -1/2 x) y) x) (- (* (/ -1/2 x) y) x)) (- (* (/ -1/2 x) y) x))
  (sqrt (- (* (/ -1/2 x) y) x))
  (sqrt (- (* (/ -1/2 x) y) x))
  (- (* (* -1/8 (/ y x)) (* (/ y x) (/ y x))) (* x (* x x)))
  (+ (* (+ x (* (/ -1/2 x) y)) (* (/ -1/2 x) y)) (* x x))
  (- x)
  (- (* (* (/ y x) (/ y x)) 1/4) (* x x))
  (+ x (* (/ -1/2 x) y))
  (- x)
  (* (/ -1/2 x) y)
  (log (* (/ -1/2 x) y))
  (log (* (/ -1/2 x) y))
  (log (* (/ -1/2 x) y))
  (exp (* (/ -1/2 x) y))
  (* (* -1/8 (/ y x)) (* (/ y x) (/ y x)))
  (* (* -1/8 (/ y x)) (* (/ y x) (/ y x)))
  (* (cbrt (* (/ -1/2 x) y)) (cbrt (* (/ -1/2 x) y)))
  (cbrt (* (/ -1/2 x) y))
  (* (* -1/8 (/ y x)) (* (/ y x) (/ y x)))
  (sqrt (* (/ -1/2 x) y))
  (sqrt (* (/ -1/2 x) y))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (* (sqrt (/ y x)) (sqrt -1/2))
  (/ (sqrt y) (/ (sqrt x) (sqrt -1/2)))
  (/ (sqrt y) (/ (sqrt x) (sqrt -1/2)))
  (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* -1/2 (sqrt (/ y x)))
  (* (/ (cbrt y) (cbrt x)) (* (/ (cbrt y) (cbrt x)) -1/2))
  (/ (* -1/2 (cbrt y)) (/ (sqrt x) (cbrt y)))
  (* (* (cbrt y) -1/2) (cbrt y))
  (* (/ -1/2 (* (cbrt x) (cbrt x))) (sqrt y))
  (/ (sqrt y) (/ (sqrt x) -1/2))
  (* -1/2 (sqrt y))
  (/ -1/2 (* (cbrt x) (cbrt x)))
  (/ -1/2 (sqrt x))
  -1/2
  -1/2
  (* -1/2 y)
  (* (/ y x) (cbrt -1/2))
  (/ y (/ x (sqrt -1/2)))
  (* (/ -1/2 x) y)
  (* -1/2 y)
  (- (* (/ -1/2 x) y) x)
  (- (* (/ -1/2 x) y) x)
  (- (* (/ -1/2 x) y) x)
  (* (/ -1/2 x) y)
  (* (/ -1/2 x) y)
  (* (/ -1/2 x) y)
4.420 * * * [progress]: adding candidates to table
4.692 * * [progress]: iteration 3 / 4
4.692 * * * [progress]: picking best candidate
4.698 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
4.698 * * * [progress]: localizing error
4.706 * * * [progress]: generating rewritten candidates
4.706 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
4.717 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
4.722 * * * [progress]: generating series expansions
4.722 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
4.722 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x))
4.722 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
4.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.723 * [taylor]: Taking taylor expansion of 1/2 in x
4.723 * [backup-simplify]: Simplify 1/2 into 1/2
4.723 * [taylor]: Taking taylor expansion of (/ y x) in x
4.723 * [taylor]: Taking taylor expansion of y in x
4.723 * [backup-simplify]: Simplify y into y
4.723 * [taylor]: Taking taylor expansion of x in x
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.723 * [backup-simplify]: Simplify (/ y 1) into y
4.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.723 * [taylor]: Taking taylor expansion of 1/2 in y
4.723 * [backup-simplify]: Simplify 1/2 into 1/2
4.723 * [taylor]: Taking taylor expansion of (/ y x) in y
4.723 * [taylor]: Taking taylor expansion of y in y
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.723 * [taylor]: Taking taylor expansion of x in y
4.723 * [backup-simplify]: Simplify x into x
4.723 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.723 * [taylor]: Taking taylor expansion of 1/2 in y
4.723 * [backup-simplify]: Simplify 1/2 into 1/2
4.723 * [taylor]: Taking taylor expansion of (/ y x) in y
4.723 * [taylor]: Taking taylor expansion of y in y
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.723 * [taylor]: Taking taylor expansion of x in y
4.723 * [backup-simplify]: Simplify x into x
4.723 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.723 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
4.723 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.723 * [taylor]: Taking taylor expansion of 1/2 in x
4.723 * [backup-simplify]: Simplify 1/2 into 1/2
4.723 * [taylor]: Taking taylor expansion of x in x
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.724 * [backup-simplify]: Simplify 1/2 into 1/2
4.724 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
4.724 * [taylor]: Taking taylor expansion of 0 in x
4.724 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.726 * [taylor]: Taking taylor expansion of 0 in x
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.727 * [taylor]: Taking taylor expansion of 0 in x
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x))
4.728 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y))
4.728 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
4.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.728 * [taylor]: Taking taylor expansion of 1/2 in x
4.728 * [backup-simplify]: Simplify 1/2 into 1/2
4.728 * [taylor]: Taking taylor expansion of (/ x y) in x
4.728 * [taylor]: Taking taylor expansion of x in x
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify 1 into 1
4.728 * [taylor]: Taking taylor expansion of y in x
4.728 * [backup-simplify]: Simplify y into y
4.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.728 * [taylor]: Taking taylor expansion of 1/2 in y
4.728 * [backup-simplify]: Simplify 1/2 into 1/2
4.728 * [taylor]: Taking taylor expansion of (/ x y) in y
4.728 * [taylor]: Taking taylor expansion of x in y
4.728 * [backup-simplify]: Simplify x into x
4.728 * [taylor]: Taking taylor expansion of y in y
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify 1 into 1
4.728 * [backup-simplify]: Simplify (/ x 1) into x
4.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.728 * [taylor]: Taking taylor expansion of 1/2 in y
4.728 * [backup-simplify]: Simplify 1/2 into 1/2
4.729 * [taylor]: Taking taylor expansion of (/ x y) in y
4.729 * [taylor]: Taking taylor expansion of x in y
4.729 * [backup-simplify]: Simplify x into x
4.729 * [taylor]: Taking taylor expansion of y in y
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (/ x 1) into x
4.729 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
4.729 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.729 * [taylor]: Taking taylor expansion of 1/2 in x
4.729 * [backup-simplify]: Simplify 1/2 into 1/2
4.729 * [taylor]: Taking taylor expansion of x in x
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.729 * [backup-simplify]: Simplify 1/2 into 1/2
4.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
4.730 * [taylor]: Taking taylor expansion of 0 in x
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.734 * [taylor]: Taking taylor expansion of 0 in x
4.734 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.738 * [taylor]: Taking taylor expansion of 0 in x
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x))
4.739 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y))
4.739 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
4.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.739 * [taylor]: Taking taylor expansion of 1/2 in x
4.739 * [backup-simplify]: Simplify 1/2 into 1/2
4.739 * [taylor]: Taking taylor expansion of (/ x y) in x
4.739 * [taylor]: Taking taylor expansion of x in x
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [taylor]: Taking taylor expansion of y in x
4.739 * [backup-simplify]: Simplify y into y
4.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.739 * [taylor]: Taking taylor expansion of 1/2 in y
4.739 * [backup-simplify]: Simplify 1/2 into 1/2
4.739 * [taylor]: Taking taylor expansion of (/ x y) in y
4.739 * [taylor]: Taking taylor expansion of x in y
4.739 * [backup-simplify]: Simplify x into x
4.739 * [taylor]: Taking taylor expansion of y in y
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [backup-simplify]: Simplify (/ x 1) into x
4.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.739 * [taylor]: Taking taylor expansion of 1/2 in y
4.739 * [backup-simplify]: Simplify 1/2 into 1/2
4.739 * [taylor]: Taking taylor expansion of (/ x y) in y
4.739 * [taylor]: Taking taylor expansion of x in y
4.739 * [backup-simplify]: Simplify x into x
4.739 * [taylor]: Taking taylor expansion of y in y
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.740 * [backup-simplify]: Simplify (/ x 1) into x
4.740 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
4.740 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.740 * [taylor]: Taking taylor expansion of 1/2 in x
4.740 * [backup-simplify]: Simplify 1/2 into 1/2
4.740 * [taylor]: Taking taylor expansion of x in x
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 1 into 1
4.741 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.741 * [backup-simplify]: Simplify 1/2 into 1/2
4.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
4.742 * [taylor]: Taking taylor expansion of 0 in x
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.744 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.746 * [taylor]: Taking taylor expansion of 0 in x
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.750 * [taylor]: Taking taylor expansion of 0 in x
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x))
4.751 * * * * [progress]: [ 2 / 2 ] generating series at (2)
4.751 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
4.751 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
4.751 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
4.751 * [taylor]: Taking taylor expansion of x in y
4.751 * [backup-simplify]: Simplify x into x
4.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.751 * [taylor]: Taking taylor expansion of 1/2 in y
4.751 * [backup-simplify]: Simplify 1/2 into 1/2
4.751 * [taylor]: Taking taylor expansion of (/ y x) in y
4.751 * [taylor]: Taking taylor expansion of y in y
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [taylor]: Taking taylor expansion of x in y
4.751 * [backup-simplify]: Simplify x into x
4.751 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.751 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.751 * [taylor]: Taking taylor expansion of x in x
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.751 * [taylor]: Taking taylor expansion of 1/2 in x
4.751 * [backup-simplify]: Simplify 1/2 into 1/2
4.751 * [taylor]: Taking taylor expansion of (/ y x) in x
4.751 * [taylor]: Taking taylor expansion of y in x
4.751 * [backup-simplify]: Simplify y into y
4.751 * [taylor]: Taking taylor expansion of x in x
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.752 * [backup-simplify]: Simplify (/ y 1) into y
4.752 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.752 * [taylor]: Taking taylor expansion of x in x
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.752 * [taylor]: Taking taylor expansion of 1/2 in x
4.752 * [backup-simplify]: Simplify 1/2 into 1/2
4.752 * [taylor]: Taking taylor expansion of (/ y x) in x
4.752 * [taylor]: Taking taylor expansion of y in x
4.752 * [backup-simplify]: Simplify y into y
4.752 * [taylor]: Taking taylor expansion of x in x
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.752 * [backup-simplify]: Simplify (/ y 1) into y
4.752 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
4.752 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
4.752 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
4.752 * [taylor]: Taking taylor expansion of 1/2 in y
4.752 * [backup-simplify]: Simplify 1/2 into 1/2
4.752 * [taylor]: Taking taylor expansion of y in y
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.753 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.753 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
4.755 * [backup-simplify]: Simplify (+ 0 0) into 0
4.755 * [taylor]: Taking taylor expansion of 0 in y
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.756 * [backup-simplify]: Simplify 1/2 into 1/2
4.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
4.759 * [backup-simplify]: Simplify (+ 1 0) into 1
4.759 * [taylor]: Taking taylor expansion of 1 in y
4.759 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.760 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.764 * [backup-simplify]: Simplify (+ 0 0) into 0
4.764 * [taylor]: Taking taylor expansion of 0 in y
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
4.766 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
4.766 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.766 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
4.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.766 * [taylor]: Taking taylor expansion of 1/2 in y
4.766 * [backup-simplify]: Simplify 1/2 into 1/2
4.766 * [taylor]: Taking taylor expansion of (/ x y) in y
4.766 * [taylor]: Taking taylor expansion of x in y
4.766 * [backup-simplify]: Simplify x into x
4.766 * [taylor]: Taking taylor expansion of y in y
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 1 into 1
4.766 * [backup-simplify]: Simplify (/ x 1) into x
4.766 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.766 * [taylor]: Taking taylor expansion of x in y
4.766 * [backup-simplify]: Simplify x into x
4.766 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.766 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.766 * [taylor]: Taking taylor expansion of 1/2 in x
4.766 * [backup-simplify]: Simplify 1/2 into 1/2
4.766 * [taylor]: Taking taylor expansion of (/ x y) in x
4.766 * [taylor]: Taking taylor expansion of x in x
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 1 into 1
4.766 * [taylor]: Taking taylor expansion of y in x
4.766 * [backup-simplify]: Simplify y into y
4.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.766 * [taylor]: Taking taylor expansion of x in x
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 1 into 1
4.767 * [backup-simplify]: Simplify (/ 1 1) into 1
4.767 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.767 * [taylor]: Taking taylor expansion of 1/2 in x
4.767 * [backup-simplify]: Simplify 1/2 into 1/2
4.767 * [taylor]: Taking taylor expansion of (/ x y) in x
4.767 * [taylor]: Taking taylor expansion of x in x
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 1 into 1
4.767 * [taylor]: Taking taylor expansion of y in x
4.767 * [backup-simplify]: Simplify y into y
4.767 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.767 * [taylor]: Taking taylor expansion of x in x
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (/ 1 1) into 1
4.768 * [backup-simplify]: Simplify (+ 0 1) into 1
4.768 * [taylor]: Taking taylor expansion of 1 in y
4.768 * [backup-simplify]: Simplify 1 into 1
4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (+ 0 0) into 0
4.770 * [taylor]: Taking taylor expansion of 0 in y
4.770 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify 1 into 1
4.770 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.771 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
4.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.771 * [taylor]: Taking taylor expansion of 1/2 in y
4.771 * [backup-simplify]: Simplify 1/2 into 1/2
4.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.771 * [taylor]: Taking taylor expansion of y in y
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 1 into 1
4.772 * [backup-simplify]: Simplify (/ 1 1) into 1
4.772 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.772 * [backup-simplify]: Simplify 1/2 into 1/2
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
4.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.774 * [backup-simplify]: Simplify (+ 0 0) into 0
4.775 * [taylor]: Taking taylor expansion of 0 in y
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (+ 0 0) into 0
4.779 * [taylor]: Taking taylor expansion of 0 in y
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
4.779 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
4.779 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.779 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
4.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.779 * [taylor]: Taking taylor expansion of 1/2 in y
4.779 * [backup-simplify]: Simplify 1/2 into 1/2
4.779 * [taylor]: Taking taylor expansion of (/ x y) in y
4.779 * [taylor]: Taking taylor expansion of x in y
4.779 * [backup-simplify]: Simplify x into x
4.779 * [taylor]: Taking taylor expansion of y in y
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (/ x 1) into x
4.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.780 * [taylor]: Taking taylor expansion of x in y
4.780 * [backup-simplify]: Simplify x into x
4.780 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.780 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.780 * [taylor]: Taking taylor expansion of 1/2 in x
4.780 * [backup-simplify]: Simplify 1/2 into 1/2
4.780 * [taylor]: Taking taylor expansion of (/ x y) in x
4.780 * [taylor]: Taking taylor expansion of x in x
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.780 * [taylor]: Taking taylor expansion of y in x
4.780 * [backup-simplify]: Simplify y into y
4.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.780 * [taylor]: Taking taylor expansion of x in x
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.781 * [backup-simplify]: Simplify (/ 1 1) into 1
4.781 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.781 * [taylor]: Taking taylor expansion of 1/2 in x
4.781 * [backup-simplify]: Simplify 1/2 into 1/2
4.781 * [taylor]: Taking taylor expansion of (/ x y) in x
4.781 * [taylor]: Taking taylor expansion of x in x
4.781 * [backup-simplify]: Simplify 0 into 0
4.781 * [backup-simplify]: Simplify 1 into 1
4.781 * [taylor]: Taking taylor expansion of y in x
4.781 * [backup-simplify]: Simplify y into y
4.781 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.781 * [taylor]: Taking taylor expansion of x in x
4.781 * [backup-simplify]: Simplify 0 into 0
4.781 * [backup-simplify]: Simplify 1 into 1
4.781 * [backup-simplify]: Simplify (/ 1 1) into 1
4.782 * [backup-simplify]: Simplify (- 1) into -1
4.782 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.782 * [taylor]: Taking taylor expansion of -1 in y
4.782 * [backup-simplify]: Simplify -1 into -1
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (- 0) into 0
4.784 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [taylor]: Taking taylor expansion of 0 in y
4.784 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify -1 into -1
4.784 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.785 * [backup-simplify]: Simplify (- 0) into 0
4.785 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
4.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.785 * [taylor]: Taking taylor expansion of 1/2 in y
4.785 * [backup-simplify]: Simplify 1/2 into 1/2
4.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.785 * [taylor]: Taking taylor expansion of y in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.791 * [backup-simplify]: Simplify (/ 1 1) into 1
4.792 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.792 * [backup-simplify]: Simplify 1/2 into 1/2
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
4.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.794 * [backup-simplify]: Simplify (- 0) into 0
4.794 * [backup-simplify]: Simplify (+ 0 0) into 0
4.794 * [taylor]: Taking taylor expansion of 0 in y
4.794 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.799 * [backup-simplify]: Simplify (- 0) into 0
4.799 * [backup-simplify]: Simplify (+ 0 0) into 0
4.799 * [taylor]: Taking taylor expansion of 0 in y
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
4.799 * * * [progress]: simplifying candidates
4.800 * [simplify]: Simplifying:
  (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
4.802 * * [simplify]: iteration 0: 87 enodes
4.826 * * [simplify]: iteration 1: 238 enodes
4.929 * * [simplify]: iteration 2: 805 enodes
5.754 * * [simplify]: iteration 3: 3513 enodes
6.846 * * [simplify]: iteration complete: 5000 enodes
6.846 * * [simplify]: Extracting #0: cost 34 inf + 0
6.848 * * [simplify]: Extracting #1: cost 784 inf + 1
6.853 * * [simplify]: Extracting #2: cost 1402 inf + 10689
6.878 * * [simplify]: Extracting #3: cost 609 inf + 147067
6.918 * * [simplify]: Extracting #4: cost 95 inf + 266968
6.995 * * [simplify]: Extracting #5: cost 1 inf + 298237
7.092 * * [simplify]: Extracting #6: cost 0 inf + 298741
7.156 * [simplify]: Simplified to:
  (* (/ y x) 1/2)
  (log (* (/ y x) 1/2))
  (log (* (/ y x) 1/2))
  (log (* (/ y x) 1/2))
  (sqrt (exp (/ y x)))
  (* (* (/ y x) (/ y x)) (* (/ y x) 1/8))
  (* (* (/ y x) (/ y x)) (* (/ y x) 1/8))
  (* (cbrt (* (/ y x) 1/2)) (cbrt (* (/ y x) 1/2)))
  (cbrt (* (/ y x) 1/2))
  (* (* (/ y x) (/ y x)) (* (/ y x) 1/8))
  (sqrt (* (/ y x) 1/2))
  (sqrt (* (/ y x) 1/2))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (/ (sqrt y) (/ (sqrt x) (sqrt 1/2)))
  (/ (sqrt y) (/ (sqrt x) (sqrt 1/2)))
  (* (cbrt (/ y x)) (* (cbrt (/ y x)) 1/2))
  (* (sqrt (/ y x)) 1/2)
  (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))))
  (/ (* (cbrt y) 1/2) (/ (sqrt x) (cbrt y)))
  (* (cbrt y) (* (cbrt y) 1/2))
  (* (/ 1/2 (* (cbrt x) (cbrt x))) (sqrt y))
  (/ 1/2 (/ (sqrt x) (sqrt y)))
  (* 1/2 (sqrt y))
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (/ y (/ x (cbrt 1/2)))
  (/ y (/ x (sqrt 1/2)))
  (* (/ y x) 1/2)
  (* 1/2 y)
  (exp (+ x (* (/ y x) 1/2)))
  (log (+ x (* (/ y x) 1/2)))
  (exp (+ x (* (/ y x) 1/2)))
  (* (cbrt (+ x (* (/ y x) 1/2))) (cbrt (+ x (* (/ y x) 1/2))))
  (cbrt (+ x (* (/ y x) 1/2)))
  (* (* (+ x (* (/ y x) 1/2)) (+ x (* (/ y x) 1/2))) (+ x (* (/ y x) 1/2)))
  (sqrt (+ x (* (/ y x) 1/2)))
  (sqrt (+ x (* (/ y x) 1/2)))
  (+ (* (* (/ y x) (/ y x)) (* (/ y x) 1/8)) (* x (* x x)))
  (+ (* (* (/ y x) 1/2) (- (* (/ y x) 1/2) x)) (* x x))
  (- (* x x) (* (* (/ y x) (/ y x)) 1/4))
  (- x (* (/ y x) 1/2))
  (* (/ y x) 1/2)
  (* (/ y x) 1/2)
  (* (/ y x) 1/2)
  (+ x (* (/ y x) 1/2))
  (+ x (* (/ y x) 1/2))
  (+ x (* (/ y x) 1/2))
7.159 * * * [progress]: adding candidates to table
7.397 * [progress]: [Phase 3 of 3] Extracting.
7.397 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.397 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
7.397 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.437 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.486 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.547 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.613 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.675 * * * [regime]: Found split indices: #<option (#s(si 1 51) #s(si 0 187) #s(si 2 255))>
7.676 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.740 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3694996904889312e+154) #s(sp 0 x 1.4962754851117796e+83) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
7.741 * [simplify]: Simplifying:
  (if (<= x -1.3694996904889312e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.4962754851117796e+83) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
7.741 * * [simplify]: iteration 0: 18 enodes
7.742 * * [simplify]: iteration 1: 22 enodes
7.744 * * [simplify]: iteration complete: 22 enodes
7.744 * * [simplify]: Extracting #0: cost 1 inf + 0
7.744 * * [simplify]: Extracting #1: cost 4 inf + 0
7.744 * * [simplify]: Extracting #2: cost 10 inf + 0
7.744 * * [simplify]: Extracting #3: cost 13 inf + 2
7.744 * * [simplify]: Extracting #4: cost 12 inf + 138
7.745 * * [simplify]: Extracting #5: cost 7 inf + 305
7.745 * * [simplify]: Extracting #6: cost 2 inf + 839
7.745 * * [simplify]: Extracting #7: cost 1 inf + 1213
7.746 * * [simplify]: Extracting #8: cost 0 inf + 1799
7.746 * [simplify]: Simplified to:
  (if (<= x -1.3694996904889312e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.4962754851117796e+83) (sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x)))
9.127 * [regime-testing]: Baseline error score: 20.878359794974372
9.145 * [regime-testing]: Oracle error score: 0.002250281285160645
9.180 * [regime-testing]: End program error score: 0.32478909060523686
9.298 * [regime-testing]: Target error score: 0.5488515746296218