18.047 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.043 * * * [progress]: [2/2] Setting up program.
0.047 * [progress]: [Phase 2 of 3] Improving.
0.047 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.047 * * [simplify]: iteration 0: 5 enodes
0.048 * * [simplify]: iteration 1: 6 enodes
0.049 * * [simplify]: iteration complete: 6 enodes
0.049 * * [simplify]: Extracting #0: cost 1 inf + 0
0.049 * * [simplify]: Extracting #1: cost 2 inf + 0
0.049 * * [simplify]: Extracting #2: cost 4 inf + 0
0.049 * * [simplify]: Extracting #3: cost 4 inf + 1
0.049 * * [simplify]: Extracting #4: cost 3 inf + 2
0.049 * * [simplify]: Extracting #5: cost 0 inf + 16
0.049 * [simplify]: Simplified to:
  (sqrt (+ (* x x) y))
0.049 * * [progress]: iteration 1 / 4
0.049 * * * [progress]: picking best candidate
0.053 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.053 * * * [progress]: localizing error
0.069 * * * [progress]: generating rewritten candidates
0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.084 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.096 * * * [progress]: generating series expansions
0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.097 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.097 * [taylor]: Taking taylor expansion of x in y
0.097 * [backup-simplify]: Simplify x into x
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.097 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.097 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.097 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.098 * [backup-simplify]: Simplify (+ 0 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [taylor]: Taking taylor expansion of y in x
0.099 * [backup-simplify]: Simplify y into y
0.099 * [backup-simplify]: Simplify (+ 0 y) into y
0.099 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.100 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [taylor]: Taking taylor expansion of y in x
0.100 * [backup-simplify]: Simplify y into y
0.100 * [backup-simplify]: Simplify (+ 0 y) into y
0.100 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.100 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.100 * [taylor]: Taking taylor expansion of y in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (sqrt 0) into 0
0.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [taylor]: Taking taylor expansion of 0 in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.103 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (+ 1 0) into 1
0.104 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.104 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.105 * [taylor]: Taking taylor expansion of 1/2 in y
0.105 * [backup-simplify]: Simplify 1/2 into 1/2
0.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.105 * [taylor]: Taking taylor expansion of y in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [backup-simplify]: Simplify (sqrt 0) into 0
0.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.108 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.109 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.109 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.112 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.113 * [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))))))
0.113 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.113 * [taylor]: Taking taylor expansion of x in y
0.113 * [backup-simplify]: Simplify x into x
0.114 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.114 * [taylor]: Taking taylor expansion of y in y
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
0.115 * [backup-simplify]: Simplify (+ 0 1) into 1
0.115 * [backup-simplify]: Simplify (sqrt 0) into 0
0.116 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [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
0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.118 * [backup-simplify]: Simplify (+ 1 0) into 1
0.118 * [backup-simplify]: Simplify (sqrt 1) into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.122 * [taylor]: Taking taylor expansion of x in x
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.123 * [taylor]: Taking taylor expansion of y in x
0.123 * [backup-simplify]: Simplify y into y
0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [backup-simplify]: Simplify (sqrt 1) into 1
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.126 * [taylor]: Taking taylor expansion of 1 in y
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [taylor]: Taking taylor expansion of 0 in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.130 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.130 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.130 * [taylor]: Taking taylor expansion of 1/2 in y
0.130 * [backup-simplify]: Simplify 1/2 into 1/2
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.130 * [backup-simplify]: Simplify 1/2 into 1/2
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.134 * [taylor]: Taking taylor expansion of 0 in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.139 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.139 * [taylor]: Taking taylor expansion of -1/8 in y
0.139 * [backup-simplify]: Simplify -1/8 into -1/8
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.143 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.143 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.143 * [taylor]: Taking taylor expansion of x in y
0.143 * [backup-simplify]: Simplify x into x
0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.143 * [taylor]: Taking taylor expansion of y in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ 1 1) into 1
0.144 * [backup-simplify]: Simplify (- 1) into -1
0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.145 * [backup-simplify]: Simplify (sqrt 0) into 0
0.146 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.151 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.152 * [taylor]: Taking taylor expansion of y in x
0.152 * [backup-simplify]: Simplify y into y
0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (sqrt 1) into 1
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.156 * [taylor]: Taking taylor expansion of 1 in y
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.158 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.159 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.159 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.159 * [taylor]: Taking taylor expansion of -1/2 in y
0.159 * [backup-simplify]: Simplify -1/2 into -1/2
0.160 * [taylor]: Taking taylor expansion of y in y
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.160 * [backup-simplify]: Simplify -1/2 into -1/2
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.173 * [backup-simplify]: Simplify (- 0) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.175 * [taylor]: Taking taylor expansion of 0 in y
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.179 * [backup-simplify]: Simplify (- 0) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.181 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.181 * [taylor]: Taking taylor expansion of -1/8 in y
0.181 * [backup-simplify]: Simplify -1/8 into -1/8
0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.181 * [taylor]: Taking taylor expansion of y in y
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (* 1 1) into 1
0.182 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.184 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.184 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.184 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.184 * [taylor]: Taking taylor expansion of x in y
0.184 * [backup-simplify]: Simplify x into x
0.184 * [taylor]: Taking taylor expansion of y in y
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of y in x
0.185 * [backup-simplify]: Simplify y into y
0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.185 * [taylor]: Taking taylor expansion of x in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of y in x
0.185 * [backup-simplify]: Simplify y into y
0.185 * [backup-simplify]: Simplify (+ 0 y) into y
0.185 * [taylor]: Taking taylor expansion of y in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [taylor]: Taking taylor expansion of 0 in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [taylor]: Taking taylor expansion of 1 in y
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [taylor]: Taking taylor expansion of 0 in y
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.188 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.188 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.188 * [taylor]: Taking taylor expansion of x in y
0.188 * [backup-simplify]: Simplify x into x
0.189 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.189 * [taylor]: Taking taylor expansion of y in y
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.189 * [taylor]: Taking taylor expansion of x in x
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.190 * [taylor]: Taking taylor expansion of y in x
0.190 * [backup-simplify]: Simplify y into y
0.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.190 * [taylor]: Taking taylor expansion of x in x
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (/ 1 1) into 1
0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.191 * [taylor]: Taking taylor expansion of y in x
0.191 * [backup-simplify]: Simplify y into y
0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.192 * [backup-simplify]: Simplify (+ 1 0) into 1
0.192 * [taylor]: Taking taylor expansion of 1 in y
0.192 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [taylor]: Taking taylor expansion of 0 in y
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.196 * [taylor]: Taking taylor expansion of y in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.204 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.204 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.204 * [taylor]: Taking taylor expansion of x in y
0.204 * [backup-simplify]: Simplify x into x
0.204 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.204 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.204 * [taylor]: Taking taylor expansion of y in y
0.204 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.207 * [taylor]: Taking taylor expansion of y in x
0.207 * [backup-simplify]: Simplify y into y
0.207 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.208 * [backup-simplify]: Simplify (+ 1 0) into 1
0.208 * [taylor]: Taking taylor expansion of 1 in y
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [taylor]: Taking taylor expansion of 0 in y
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.213 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.213 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.213 * [taylor]: Taking taylor expansion of y in y
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [backup-simplify]: Simplify (- 1) into -1
0.213 * [backup-simplify]: Simplify -1 into -1
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.216 * [backup-simplify]: Simplify (- 0) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [taylor]: Taking taylor expansion of 0 in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (- 0) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.221 * [backup-simplify]: Simplify (- 0) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [taylor]: Taking taylor expansion of 0 in y
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.222 * * * [progress]: simplifying candidates
0.223 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 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)
0.224 * * [simplify]: iteration 0: 59 enodes
0.234 * * [simplify]: iteration 1: 154 enodes
0.295 * * [simplify]: iteration 2: 697 enodes
0.707 * * [simplify]: iteration complete: 5000 enodes
0.707 * * [simplify]: Extracting #0: cost 29 inf + 0
0.707 * * [simplify]: Extracting #1: cost 303 inf + 2
0.711 * * [simplify]: Extracting #2: cost 1664 inf + 152
0.716 * * [simplify]: Extracting #3: cost 1097 inf + 7499
0.723 * * [simplify]: Extracting #4: cost 66 inf + 15136
0.730 * * [simplify]: Extracting #5: cost 12 inf + 15433
0.742 * * [simplify]: Extracting #6: cost 0 inf + 15504
0.759 * [simplify]: Simplified to:
  (log (sqrt (+ (pow x 2) y)))
  (exp (sqrt (+ (pow x 2) y)))
  (* (cbrt (sqrt (+ (pow x 2) y))) (cbrt (sqrt (+ (pow x 2) y))))
  (cbrt (sqrt (+ (pow x 2) y)))
  (pow (sqrt (+ (pow x 2) y)) 3)
  (fabs (cbrt (+ (pow x 2) y)))
  (sqrt (cbrt (+ (pow x 2) y)))
  (sqrt (sqrt (+ (pow x 2) y)))
  (sqrt (sqrt (+ (pow x 2) y)))
  1
  (sqrt (+ (pow x 2) y))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (pow x 2)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (pow x 2) y))
  1/2
  (sqrt (sqrt (+ (pow x 2) y)))
  (sqrt (sqrt (+ (pow x 2) y)))
  (exp (+ (pow x 2) y))
  (log (+ (pow x 2) y))
  (exp (+ (pow x 2) y))
  (* (cbrt (+ (pow x 2) y)) (cbrt (+ (pow x 2) y)))
  (cbrt (+ (pow x 2) y))
  (pow (+ (pow x 2) y) 3)
  (sqrt (+ (pow x 2) y))
  (sqrt (+ (pow x 2) y))
  (+ (pow y 3) (pow x 6))
  (+ (pow x 4) (* y (- y (pow x 2))))
  (- (pow x 4) (* y y))
  (- (pow x 2) y)
  (* +nan.0 (+ (- (pow x 2) y) (- (* y y))))
  (+ (/ (* 1/2 y) x) x)
  (- (/ -1/2 (/ x y)) x)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.759 * * * [progress]: adding candidates to table
0.952 * * [progress]: iteration 2 / 4
0.952 * * * [progress]: picking best candidate
0.965 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>
0.965 * * * [progress]: localizing error
0.982 * * * [progress]: generating rewritten candidates
0.982 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.997 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
1.051 * * * [progress]: generating series expansions
1.051 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
1.051 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x))
1.051 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0
1.051 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
1.051 * [taylor]: Taking taylor expansion of -1/2 in y
1.051 * [backup-simplify]: Simplify -1/2 into -1/2
1.051 * [taylor]: Taking taylor expansion of (/ y x) in y
1.051 * [taylor]: Taking taylor expansion of y in y
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 1 into 1
1.051 * [taylor]: Taking taylor expansion of x in y
1.051 * [backup-simplify]: Simplify x into x
1.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.051 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
1.051 * [taylor]: Taking taylor expansion of -1/2 in x
1.051 * [backup-simplify]: Simplify -1/2 into -1/2
1.051 * [taylor]: Taking taylor expansion of (/ y x) in x
1.051 * [taylor]: Taking taylor expansion of y in x
1.051 * [backup-simplify]: Simplify y into y
1.051 * [taylor]: Taking taylor expansion of x in x
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 1 into 1
1.052 * [backup-simplify]: Simplify (/ y 1) into y
1.052 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
1.052 * [taylor]: Taking taylor expansion of -1/2 in x
1.052 * [backup-simplify]: Simplify -1/2 into -1/2
1.052 * [taylor]: Taking taylor expansion of (/ y x) in x
1.052 * [taylor]: Taking taylor expansion of y in x
1.052 * [backup-simplify]: Simplify y into y
1.052 * [taylor]: Taking taylor expansion of x in x
1.052 * [backup-simplify]: Simplify 0 into 0
1.052 * [backup-simplify]: Simplify 1 into 1
1.052 * [backup-simplify]: Simplify (/ y 1) into y
1.052 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y)
1.052 * [taylor]: Taking taylor expansion of (* -1/2 y) in y
1.052 * [taylor]: Taking taylor expansion of -1/2 in y
1.052 * [backup-simplify]: Simplify -1/2 into -1/2
1.052 * [taylor]: Taking taylor expansion of y in y
1.052 * [backup-simplify]: Simplify 0 into 0
1.052 * [backup-simplify]: Simplify 1 into 1
1.053 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
1.053 * [backup-simplify]: Simplify -1/2 into -1/2
1.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
1.055 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0
1.055 * [taylor]: Taking taylor expansion of 0 in y
1.055 * [backup-simplify]: Simplify 0 into 0
1.055 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.056 * [backup-simplify]: Simplify 0 into 0
1.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.063 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.063 * [taylor]: Taking taylor expansion of 0 in y
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 0 into 0
1.064 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.065 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.068 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.068 * [taylor]: Taking taylor expansion of 0 in y
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x))
1.069 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y))
1.069 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0
1.069 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
1.069 * [taylor]: Taking taylor expansion of -1/2 in y
1.069 * [backup-simplify]: Simplify -1/2 into -1/2
1.069 * [taylor]: Taking taylor expansion of (/ x y) in y
1.069 * [taylor]: Taking taylor expansion of x in y
1.069 * [backup-simplify]: Simplify x into x
1.069 * [taylor]: Taking taylor expansion of y in y
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 1 into 1
1.069 * [backup-simplify]: Simplify (/ x 1) into x
1.069 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
1.069 * [taylor]: Taking taylor expansion of -1/2 in x
1.069 * [backup-simplify]: Simplify -1/2 into -1/2
1.069 * [taylor]: Taking taylor expansion of (/ x y) in x
1.069 * [taylor]: Taking taylor expansion of x in x
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 1 into 1
1.069 * [taylor]: Taking taylor expansion of y in x
1.069 * [backup-simplify]: Simplify y into y
1.069 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.069 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
1.069 * [taylor]: Taking taylor expansion of -1/2 in x
1.069 * [backup-simplify]: Simplify -1/2 into -1/2
1.070 * [taylor]: Taking taylor expansion of (/ x y) in x
1.070 * [taylor]: Taking taylor expansion of x in x
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [taylor]: Taking taylor expansion of y in x
1.070 * [backup-simplify]: Simplify y into y
1.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.070 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y)
1.070 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
1.070 * [taylor]: Taking taylor expansion of -1/2 in y
1.070 * [backup-simplify]: Simplify -1/2 into -1/2
1.070 * [taylor]: Taking taylor expansion of y in y
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.071 * [backup-simplify]: Simplify -1/2 into -1/2
1.071 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.071 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0
1.071 * [taylor]: Taking taylor expansion of 0 in y
1.071 * [backup-simplify]: Simplify 0 into 0
1.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify 0 into 0
1.072 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.073 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.073 * [taylor]: Taking taylor expansion of 0 in y
1.073 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.076 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
1.076 * [taylor]: Taking taylor expansion of 0 in y
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.077 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x))
1.078 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y))
1.078 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0
1.078 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
1.078 * [taylor]: Taking taylor expansion of -1/2 in y
1.078 * [backup-simplify]: Simplify -1/2 into -1/2
1.078 * [taylor]: Taking taylor expansion of (/ x y) in y
1.078 * [taylor]: Taking taylor expansion of x in y
1.078 * [backup-simplify]: Simplify x into x
1.078 * [taylor]: Taking taylor expansion of y in y
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 1 into 1
1.078 * [backup-simplify]: Simplify (/ x 1) into x
1.078 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
1.078 * [taylor]: Taking taylor expansion of -1/2 in x
1.078 * [backup-simplify]: Simplify -1/2 into -1/2
1.078 * [taylor]: Taking taylor expansion of (/ x y) in x
1.078 * [taylor]: Taking taylor expansion of x in x
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 1 into 1
1.078 * [taylor]: Taking taylor expansion of y in x
1.078 * [backup-simplify]: Simplify y into y
1.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.078 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
1.079 * [taylor]: Taking taylor expansion of -1/2 in x
1.079 * [backup-simplify]: Simplify -1/2 into -1/2
1.079 * [taylor]: Taking taylor expansion of (/ x y) in x
1.079 * [taylor]: Taking taylor expansion of x in x
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [backup-simplify]: Simplify 1 into 1
1.079 * [taylor]: Taking taylor expansion of y in x
1.079 * [backup-simplify]: Simplify y into y
1.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.079 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y)
1.079 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
1.079 * [taylor]: Taking taylor expansion of -1/2 in y
1.079 * [backup-simplify]: Simplify -1/2 into -1/2
1.079 * [taylor]: Taking taylor expansion of y in y
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [backup-simplify]: Simplify 1 into 1
1.080 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.080 * [backup-simplify]: Simplify -1/2 into -1/2
1.080 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.080 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0
1.080 * [taylor]: Taking taylor expansion of 0 in y
1.080 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.082 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.082 * [taylor]: Taking taylor expansion of 0 in y
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.085 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
1.085 * [taylor]: Taking taylor expansion of 0 in y
1.085 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify 0 into 0
1.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.086 * [backup-simplify]: Simplify 0 into 0
1.086 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x))
1.086 * * * * [progress]: [ 2 / 2 ] generating series at (2)
1.086 * [backup-simplify]: Simplify (- (/ -1/2 (/ x y)) x) into (- (+ x (* 1/2 (/ y x))))
1.086 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (x y) around 0
1.086 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
1.086 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.087 * [taylor]: Taking taylor expansion of x in y
1.087 * [backup-simplify]: Simplify x into x
1.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.087 * [taylor]: Taking taylor expansion of 1/2 in y
1.087 * [backup-simplify]: Simplify 1/2 into 1/2
1.087 * [taylor]: Taking taylor expansion of (/ y x) in y
1.087 * [taylor]: Taking taylor expansion of y in y
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [taylor]: Taking taylor expansion of x in y
1.087 * [backup-simplify]: Simplify x into x
1.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.087 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
1.087 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.087 * [taylor]: Taking taylor expansion of x in x
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.087 * [taylor]: Taking taylor expansion of 1/2 in x
1.087 * [backup-simplify]: Simplify 1/2 into 1/2
1.087 * [taylor]: Taking taylor expansion of (/ y x) in x
1.087 * [taylor]: Taking taylor expansion of y in x
1.087 * [backup-simplify]: Simplify y into y
1.087 * [taylor]: Taking taylor expansion of x in x
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [backup-simplify]: Simplify (/ y 1) into y
1.087 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
1.087 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.087 * [taylor]: Taking taylor expansion of x in x
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.087 * [taylor]: Taking taylor expansion of 1/2 in x
1.087 * [backup-simplify]: Simplify 1/2 into 1/2
1.087 * [taylor]: Taking taylor expansion of (/ y x) in x
1.087 * [taylor]: Taking taylor expansion of y in x
1.087 * [backup-simplify]: Simplify y into y
1.087 * [taylor]: Taking taylor expansion of x in x
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [backup-simplify]: Simplify (/ y 1) into y
1.088 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
1.088 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
1.088 * [backup-simplify]: Simplify (- (* 1/2 y)) into (- (* 1/2 y))
1.088 * [taylor]: Taking taylor expansion of (- (* 1/2 y)) in y
1.088 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
1.088 * [taylor]: Taking taylor expansion of 1/2 in y
1.088 * [backup-simplify]: Simplify 1/2 into 1/2
1.088 * [taylor]: Taking taylor expansion of y in y
1.088 * [backup-simplify]: Simplify 0 into 0
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.089 * [backup-simplify]: Simplify (- 0) into 0
1.089 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
1.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
1.090 * [backup-simplify]: Simplify (+ 0 0) into 0
1.091 * [backup-simplify]: Simplify (- 0) into 0
1.091 * [taylor]: Taking taylor expansion of 0 in y
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.092 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.092 * [backup-simplify]: Simplify -1/2 into -1/2
1.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.094 * [backup-simplify]: Simplify (+ 1 0) into 1
1.095 * [backup-simplify]: Simplify (- 1) into -1
1.095 * [taylor]: Taking taylor expansion of -1 in y
1.095 * [backup-simplify]: Simplify -1 into -1
1.095 * [backup-simplify]: Simplify -1 into -1
1.095 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.096 * [backup-simplify]: Simplify (- 0) into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.100 * [backup-simplify]: Simplify (+ 0 0) into 0
1.100 * [backup-simplify]: Simplify (- 0) into 0
1.100 * [taylor]: Taking taylor expansion of 0 in y
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.101 * [backup-simplify]: Simplify (- 0) into 0
1.101 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify (+ (* -1 (* 1 x)) (* -1/2 (* y (/ 1 x)))) into (- (+ x (* 1/2 (/ y x))))
1.102 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 x) (/ 1 y))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x)))
1.102 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (x y) around 0
1.102 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
1.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.102 * [taylor]: Taking taylor expansion of 1/2 in y
1.102 * [backup-simplify]: Simplify 1/2 into 1/2
1.102 * [taylor]: Taking taylor expansion of (/ x y) in y
1.102 * [taylor]: Taking taylor expansion of x in y
1.102 * [backup-simplify]: Simplify x into x
1.102 * [taylor]: Taking taylor expansion of y in y
1.102 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify 1 into 1
1.102 * [backup-simplify]: Simplify (/ x 1) into x
1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.102 * [taylor]: Taking taylor expansion of x in y
1.102 * [backup-simplify]: Simplify x into x
1.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.102 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
1.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.102 * [taylor]: Taking taylor expansion of 1/2 in x
1.102 * [backup-simplify]: Simplify 1/2 into 1/2
1.102 * [taylor]: Taking taylor expansion of (/ x y) in x
1.103 * [taylor]: Taking taylor expansion of x in x
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.103 * [taylor]: Taking taylor expansion of y in x
1.103 * [backup-simplify]: Simplify y into y
1.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.103 * [taylor]: Taking taylor expansion of x in x
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.103 * [backup-simplify]: Simplify (/ 1 1) into 1
1.103 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
1.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.103 * [taylor]: Taking taylor expansion of 1/2 in x
1.103 * [backup-simplify]: Simplify 1/2 into 1/2
1.103 * [taylor]: Taking taylor expansion of (/ x y) in x
1.103 * [taylor]: Taking taylor expansion of x in x
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.103 * [taylor]: Taking taylor expansion of y in x
1.103 * [backup-simplify]: Simplify y into y
1.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.103 * [taylor]: Taking taylor expansion of x in x
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.104 * [backup-simplify]: Simplify (/ 1 1) into 1
1.104 * [backup-simplify]: Simplify (+ 0 1) into 1
1.105 * [backup-simplify]: Simplify (- 1) into -1
1.105 * [taylor]: Taking taylor expansion of -1 in y
1.105 * [backup-simplify]: Simplify -1 into -1
1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.106 * [backup-simplify]: Simplify (+ 0 0) into 0
1.106 * [backup-simplify]: Simplify (- 0) into 0
1.106 * [taylor]: Taking taylor expansion of 0 in y
1.106 * [backup-simplify]: Simplify 0 into 0
1.106 * [backup-simplify]: Simplify -1 into -1
1.106 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.107 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.107 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 y))) into (- (* 1/2 (/ 1 y)))
1.107 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y
1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.107 * [taylor]: Taking taylor expansion of 1/2 in y
1.107 * [backup-simplify]: Simplify 1/2 into 1/2
1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.107 * [taylor]: Taking taylor expansion of y in y
1.107 * [backup-simplify]: Simplify 0 into 0
1.107 * [backup-simplify]: Simplify 1 into 1
1.108 * [backup-simplify]: Simplify (/ 1 1) into 1
1.108 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.108 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.109 * [backup-simplify]: Simplify -1/2 into -1/2
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.110 * [backup-simplify]: Simplify (+ 0 0) into 0
1.111 * [backup-simplify]: Simplify (- 0) into 0
1.111 * [taylor]: Taking taylor expansion of 0 in y
1.111 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.113 * [backup-simplify]: Simplify (- 0) into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.115 * [backup-simplify]: Simplify (+ 0 0) into 0
1.115 * [backup-simplify]: Simplify (- 0) into 0
1.115 * [taylor]: Taking taylor expansion of 0 in y
1.115 * [backup-simplify]: Simplify 0 into 0
1.115 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* -1 (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ y x))))
1.116 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y)))
1.116 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (x y) around 0
1.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.116 * [taylor]: Taking taylor expansion of x in y
1.116 * [backup-simplify]: Simplify x into x
1.116 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.116 * [taylor]: Taking taylor expansion of 1/2 in y
1.116 * [backup-simplify]: Simplify 1/2 into 1/2
1.116 * [taylor]: Taking taylor expansion of (/ x y) in y
1.116 * [taylor]: Taking taylor expansion of x in y
1.116 * [backup-simplify]: Simplify x into x
1.116 * [taylor]: Taking taylor expansion of y in y
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.116 * [backup-simplify]: Simplify (/ x 1) into x
1.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.116 * [taylor]: Taking taylor expansion of x in x
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.117 * [backup-simplify]: Simplify (/ 1 1) into 1
1.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.117 * [taylor]: Taking taylor expansion of 1/2 in x
1.117 * [backup-simplify]: Simplify 1/2 into 1/2
1.117 * [taylor]: Taking taylor expansion of (/ x y) in x
1.117 * [taylor]: Taking taylor expansion of x in x
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify 1 into 1
1.117 * [taylor]: Taking taylor expansion of y in x
1.117 * [backup-simplify]: Simplify y into y
1.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.117 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.117 * [taylor]: Taking taylor expansion of x in x
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify 1 into 1
1.117 * [backup-simplify]: Simplify (/ 1 1) into 1
1.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.117 * [taylor]: Taking taylor expansion of 1/2 in x
1.117 * [backup-simplify]: Simplify 1/2 into 1/2
1.117 * [taylor]: Taking taylor expansion of (/ x y) in x
1.118 * [taylor]: Taking taylor expansion of x in x
1.118 * [backup-simplify]: Simplify 0 into 0
1.118 * [backup-simplify]: Simplify 1 into 1
1.118 * [taylor]: Taking taylor expansion of y in x
1.118 * [backup-simplify]: Simplify y into y
1.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.118 * [backup-simplify]: Simplify (+ 1 0) into 1
1.118 * [taylor]: Taking taylor expansion of 1 in y
1.118 * [backup-simplify]: Simplify 1 into 1
1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.119 * [backup-simplify]: Simplify (+ 0 0) into 0
1.119 * [taylor]: Taking taylor expansion of 0 in y
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify 1 into 1
1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.120 * [backup-simplify]: Simplify (- (/ 1/2 y)) into (- (* 1/2 (/ 1 y)))
1.120 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 y)))) into (- (* 1/2 (/ 1 y)))
1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y
1.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.120 * [taylor]: Taking taylor expansion of 1/2 in y
1.120 * [backup-simplify]: Simplify 1/2 into 1/2
1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.120 * [taylor]: Taking taylor expansion of y in y
1.120 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 1 into 1
1.121 * [backup-simplify]: Simplify (/ 1 1) into 1
1.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.122 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.122 * [backup-simplify]: Simplify -1/2 into -1/2
1.122 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.123 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.123 * [backup-simplify]: Simplify (- 0) into 0
1.124 * [backup-simplify]: Simplify (+ 0 0) into 0
1.124 * [taylor]: Taking taylor expansion of 0 in y
1.124 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.126 * [backup-simplify]: Simplify (- 0) into 0
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 0 into 0
1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.128 * [backup-simplify]: Simplify (- 0) into 0
1.128 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [taylor]: Taking taylor expansion of 0 in y
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
1.129 * * * [progress]: simplifying candidates
1.131 * [simplify]: Simplifying:
  (- (log -1/2) (- (log x) (log y)))
  (- (log -1/2) (log (/ x y)))
  (log (/ -1/2 (/ x y)))
  (exp (/ -1/2 (/ x y)))
  (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y)))
  (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y)))
  (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y))))
  (cbrt (/ -1/2 (/ x y)))
  (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y)))
  (sqrt (/ -1/2 (/ x y)))
  (sqrt (/ -1/2 (/ x y)))
  (- -1/2)
  (- (/ x y))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ (cbrt -1/2) (cbrt (/ x y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y)))
  (/ (cbrt -1/2) (sqrt (/ x y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
  (/ (cbrt -1/2) (/ (cbrt x) (cbrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))
  (/ (cbrt -1/2) (/ (cbrt x) (sqrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1))
  (/ (cbrt -1/2) (/ (cbrt x) y))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y))))
  (/ (cbrt -1/2) (/ (sqrt x) (cbrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y)))
  (/ (cbrt -1/2) (/ (sqrt x) (sqrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1))
  (/ (cbrt -1/2) (/ (sqrt x) y))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y))))
  (/ (cbrt -1/2) (/ x (cbrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y)))
  (/ (cbrt -1/2) (/ x (sqrt y)))
  (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1))
  (/ (cbrt -1/2) (/ x y))
  (/ (* (cbrt -1/2) (cbrt -1/2)) 1)
  (/ (cbrt -1/2) (/ x y))
  (/ (* (cbrt -1/2) (cbrt -1/2)) x)
  (/ (cbrt -1/2) (/ 1 y))
  (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ (sqrt -1/2) (cbrt (/ x y)))
  (/ (sqrt -1/2) (sqrt (/ x y)))
  (/ (sqrt -1/2) (sqrt (/ x y)))
  (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
  (/ (sqrt -1/2) (/ (cbrt x) (cbrt y)))
  (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y)))
  (/ (sqrt -1/2) (/ (cbrt x) (sqrt y)))
  (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1))
  (/ (sqrt -1/2) (/ (cbrt x) y))
  (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y))))
  (/ (sqrt -1/2) (/ (sqrt x) (cbrt y)))
  (/ (sqrt -1/2) (/ (sqrt x) (sqrt y)))
  (/ (sqrt -1/2) (/ (sqrt x) (sqrt y)))
  (/ (sqrt -1/2) (/ (sqrt x) 1))
  (/ (sqrt -1/2) (/ (sqrt x) y))
  (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y))))
  (/ (sqrt -1/2) (/ x (cbrt y)))
  (/ (sqrt -1/2) (/ 1 (sqrt y)))
  (/ (sqrt -1/2) (/ x (sqrt y)))
  (/ (sqrt -1/2) (/ 1 1))
  (/ (sqrt -1/2) (/ x y))
  (/ (sqrt -1/2) 1)
  (/ (sqrt -1/2) (/ x y))
  (/ (sqrt -1/2) x)
  (/ (sqrt -1/2) (/ 1 y))
  (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ -1/2 (cbrt (/ x y)))
  (/ 1 (sqrt (/ x y)))
  (/ -1/2 (sqrt (/ x y)))
  (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ (cbrt x) (cbrt y)))
  (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))
  (/ -1/2 (/ (cbrt x) (sqrt y)))
  (/ 1 (/ (* (cbrt x) (cbrt x)) 1))
  (/ -1/2 (/ (cbrt x) y))
  (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ (sqrt x) (cbrt y)))
  (/ 1 (/ (sqrt x) (sqrt y)))
  (/ -1/2 (/ (sqrt x) (sqrt y)))
  (/ 1 (/ (sqrt x) 1))
  (/ -1/2 (/ (sqrt x) y))
  (/ 1 (/ 1 (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ x (cbrt y)))
  (/ 1 (/ 1 (sqrt y)))
  (/ -1/2 (/ x (sqrt y)))
  (/ 1 (/ 1 1))
  (/ -1/2 (/ x y))
  (/ 1 1)
  (/ -1/2 (/ x y))
  (/ 1 x)
  (/ -1/2 (/ 1 y))
  (/ 1 (/ x y))
  (/ (/ x y) -1/2)
  (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ -1/2 (sqrt (/ x y)))
  (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y)))
  (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1))
  (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ (sqrt x) (sqrt y)))
  (/ -1/2 (/ (sqrt x) 1))
  (/ -1/2 (/ 1 (* (cbrt y) (cbrt y))))
  (/ -1/2 (/ 1 (sqrt y)))
  (/ -1/2 (/ 1 1))
  (/ -1/2 1)
  (/ -1/2 x)
  (/ (/ x y) (cbrt -1/2))
  (/ (/ x y) (sqrt -1/2))
  (/ (/ x y) -1/2)
  (/ -1/2 x)
  (/ (exp (/ -1/2 (/ x y))) (exp 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))
  (- (pow (/ -1/2 (/ x y)) 3) (pow x 3))
  (+ (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (+ (* x x) (* (/ -1/2 (/ x y)) x)))
  (- x)
  (- (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (* x x))
  (+ (/ -1/2 (/ x y)) x)
  (+ (sqrt (/ -1/2 (/ x y))) (sqrt x))
  (- (sqrt (/ -1/2 (/ x y))) (sqrt x))
  (+ (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x))
  (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x))
  (+ (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x))
  (- (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x))
  (- (/ -1/2 (/ x y)) x)
  (- 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))))
1.134 * * [simplify]: iteration 0: 180 enodes
1.193 * * [simplify]: iteration 1: 447 enodes
1.316 * * [simplify]: iteration 2: 1728 enodes
1.822 * * [simplify]: iteration complete: 5001 enodes
1.822 * * [simplify]: Extracting #0: cost 112 inf + 0
1.826 * * [simplify]: Extracting #1: cost 1180 inf + 3
1.831 * * [simplify]: Extracting #2: cost 1528 inf + 462
1.837 * * [simplify]: Extracting #3: cost 1065 inf + 3376
1.848 * * [simplify]: Extracting #4: cost 173 inf + 10810
1.868 * * [simplify]: Extracting #5: cost 3 inf + 12507
1.878 * * [simplify]: Extracting #6: cost 0 inf + 12525
1.889 * [simplify]: Simplified to:
  (log (* (/ -1/2 x) y))
  (log (* (/ -1/2 x) y))
  (log (* (/ -1/2 x) y))
  (pow (exp y) (/ -1/2 x))
  (/ -1/8 (pow (/ x y) 3))
  (/ -1/8 (pow (/ x y) 3))
  (* (cbrt (* (/ -1/2 x) y)) (cbrt (* (/ -1/2 x) y)))
  (cbrt (* (/ -1/2 x) y))
  (/ -1/8 (pow (/ x y) 3))
  (sqrt (* (/ -1/2 x) y))
  (sqrt (* (/ -1/2 x) y))
  1/2
  (/ (- x) y)
  (/ (cbrt -1/2) (/ (cbrt (/ x y)) (/ (cbrt -1/2) (cbrt (/ x y)))))
  (/ (cbrt -1/2) (cbrt (/ x y)))
  (/ (cbrt -1/2) (/ (sqrt (/ x y)) (cbrt -1/2)))
  (/ (cbrt -1/2) (sqrt (/ x y)))
  (* (/ (* (* (cbrt -1/2) (cbrt y)) (cbrt y)) (cbrt x)) (/ (cbrt -1/2) (cbrt x)))
  (* (cbrt y) (/ (cbrt -1/2) (cbrt x)))
  (* (/ (cbrt -1/2) (cbrt x)) (* (cbrt -1/2) (/ (sqrt y) (cbrt x))))
  (* (cbrt -1/2) (/ (sqrt y) (cbrt x)))
  (/ (/ (* (cbrt -1/2) (cbrt -1/2)) (cbrt x)) (cbrt x))
  (/ (* (cbrt -1/2) y) (cbrt x))
  (* (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2))) (* (cbrt y) (cbrt y)))
  (/ (cbrt -1/2) (/ (sqrt x) (cbrt y)))
  (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt -1/2) (sqrt y)))
  (/ (* (sqrt y) (cbrt -1/2)) (sqrt x))
  (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2)))
  (/ (* y (cbrt -1/2)) (sqrt x))
  (* (* (* (cbrt -1/2) (cbrt -1/2)) (cbrt y)) (cbrt y))
  (* (cbrt y) (/ (cbrt -1/2) x))
  (* (* (sqrt y) (cbrt -1/2)) (cbrt -1/2))
  (/ (cbrt -1/2) (/ x (sqrt y)))
  (* (cbrt -1/2) (cbrt -1/2))
  (* (/ (cbrt -1/2) x) y)
  (* (cbrt -1/2) (cbrt -1/2))
  (* (/ (cbrt -1/2) x) y)
  (/ (cbrt -1/2) (/ x (cbrt -1/2)))
  (* y (cbrt -1/2))
  (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y)))
  (/ (sqrt -1/2) (cbrt (/ x y)))
  (/ (sqrt -1/2) (sqrt (/ x y)))
  (/ (sqrt -1/2) (sqrt (/ x y)))
  (* (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (* (cbrt y) (cbrt y)))
  (/ (* (cbrt y) (sqrt -1/2)) (cbrt x))
  (/ (* (sqrt y) (sqrt -1/2)) (* (cbrt x) (cbrt x)))
  (/ (* (sqrt y) (sqrt -1/2)) (cbrt x))
  (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x))
  (* (/ (sqrt -1/2) (cbrt x)) y)
  (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x))
  (/ (* (cbrt y) (sqrt -1/2)) (sqrt x))
  (/ (* (sqrt -1/2) (sqrt y)) (sqrt x))
  (/ (* (sqrt -1/2) (sqrt y)) (sqrt x))
  (/ (sqrt -1/2) (sqrt x))
  (* (/ (sqrt -1/2) (sqrt x)) y)
  (* (sqrt -1/2) (* (cbrt y) (cbrt y)))
  (/ (sqrt -1/2) (/ x (cbrt y)))
  (* (sqrt -1/2) (sqrt y))
  (* (/ (sqrt -1/2) x) (sqrt y))
  (sqrt -1/2)
  (* (/ (sqrt -1/2) x) y)
  (sqrt -1/2)
  (* (/ (sqrt -1/2) x) y)
  (/ (sqrt -1/2) x)
  (* y (sqrt -1/2))
  (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ -1/2 (cbrt (/ x y)))
  (/ 1 (sqrt (/ x y)))
  (/ -1/2 (sqrt (/ x y)))
  (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))
  (* (/ -1/2 (cbrt x)) (cbrt y))
  (/ (sqrt y) (* (cbrt x) (cbrt x)))
  (/ (* (sqrt y) -1/2) (cbrt x))
  (/ (/ 1 (cbrt x)) (cbrt x))
  (/ (* y -1/2) (cbrt x))
  (/ (* (cbrt y) (cbrt y)) (sqrt x))
  (/ (* -1/2 (cbrt y)) (sqrt x))
  (/ (sqrt y) (sqrt x))
  (/ (* (sqrt y) -1/2) (sqrt x))
  (/ 1 (sqrt x))
  (* (/ -1/2 (sqrt x)) y)
  (* (cbrt y) (cbrt y))
  (/ (* -1/2 (cbrt y)) x)
  (sqrt y)
  (* (sqrt y) (/ -1/2 x))
  1
  (* (/ -1/2 x) y)
  1
  (* (/ -1/2 x) y)
  (/ 1 x)
  (* y -1/2)
  (/ y x)
  (/ x (* y -1/2))
  (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y))))
  (/ -1/2 (sqrt (/ x y)))
  (* (/ -1/2 (cbrt x)) (/ (* (cbrt y) (cbrt y)) (cbrt x)))
  (/ -1/2 (* (cbrt x) (/ (cbrt x) (sqrt y))))
  (/ -1/2 (* (cbrt x) (cbrt x)))
  (* (* (/ -1/2 (sqrt x)) (cbrt y)) (cbrt y))
  (/ (* (sqrt y) -1/2) (sqrt x))
  (/ -1/2 (sqrt x))
  (* (* -1/2 (cbrt y)) (cbrt y))
  (* (sqrt y) -1/2)
  -1/2
  -1/2
  (/ -1/2 x)
  (/ x (* y (cbrt -1/2)))
  (/ x (* y (sqrt -1/2)))
  (/ x (* y -1/2))
  (/ -1/2 x)
  (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))
  (pow (- (* (/ -1/2 x) y) x) 3)
  (sqrt (- (* (/ -1/2 x) y) x))
  (sqrt (- (* (/ -1/2 x) y) x))
  (- (/ -1/8 (pow (/ x y) 3)) (pow x 3))
  (+ (* x x) (* (* (/ -1/2 x) y) (+ (* (/ -1/2 x) y) x)))
  (- x)
  (- (/ (/ 1/4 (/ x y)) (/ x y)) (* x x))
  (+ x (* (/ -1/2 x) y))
  (+ (sqrt x) (sqrt (* (/ -1/2 x) y)))
  (- (sqrt (* (/ -1/2 x) y)) (sqrt x))
  (+ (sqrt x) (/ (sqrt -1/2) (sqrt (/ x y))))
  (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x))
  (+ (sqrt x) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)))
  (- (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (sqrt x))
  (- (* (/ -1/2 x) y) x)
  (- x)
  (/ (* y -1/2) x)
  (/ (* y -1/2) x)
  (/ (* y -1/2) x)
  (+ (- x) (/ (* y -1/2) x))
  (+ (- x) (/ (* y -1/2) x))
  (+ (- x) (/ (* y -1/2) x))
1.891 * * * [progress]: adding candidates to table
2.289 * * [progress]: iteration 3 / 4
2.289 * * * [progress]: picking best candidate
2.293 * * * * [pick]: Picked  #<alt (λ (x y) (+ (/ (* 1/2 y) x) x))>
2.293 * * * [progress]: localizing error
2.301 * * * [progress]: generating rewritten candidates
2.301 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.312 * * * [progress]: generating series expansions
2.312 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.313 * [backup-simplify]: Simplify (+ (/ (* 1/2 y) x) x) into (+ x (* 1/2 (/ y x)))
2.313 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (y x) around 0
2.313 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
2.313 * [taylor]: Taking taylor expansion of 1/2 in x
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (/ y x) in x
2.313 * [taylor]: Taking taylor expansion of y in x
2.313 * [backup-simplify]: Simplify y into y
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [backup-simplify]: Simplify (/ y 1) into y
2.313 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
2.313 * [taylor]: Taking taylor expansion of x in y
2.313 * [backup-simplify]: Simplify x into x
2.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
2.313 * [taylor]: Taking taylor expansion of 1/2 in y
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (/ y x) in y
2.313 * [taylor]: Taking taylor expansion of y in y
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of x in y
2.313 * [backup-simplify]: Simplify x into x
2.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.313 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
2.313 * [taylor]: Taking taylor expansion of x in y
2.313 * [backup-simplify]: Simplify x into x
2.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
2.313 * [taylor]: Taking taylor expansion of 1/2 in y
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (/ y x) in y
2.313 * [taylor]: Taking taylor expansion of y in y
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of x in y
2.313 * [backup-simplify]: Simplify x into x
2.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.313 * [backup-simplify]: Simplify (+ x 0) into x
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
2.313 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x))
2.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
2.314 * [taylor]: Taking taylor expansion of 1/2 in x
2.314 * [backup-simplify]: Simplify 1/2 into 1/2
2.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.314 * [taylor]: Taking taylor expansion of x in x
2.314 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify 1 into 1
2.314 * [backup-simplify]: Simplify (/ 1 1) into 1
2.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.314 * [backup-simplify]: Simplify 1/2 into 1/2
2.314 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [taylor]: Taking taylor expansion of 0 in x
2.315 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.320 * [taylor]: Taking taylor expansion of 0 in x
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.322 * [taylor]: Taking taylor expansion of 0 in x
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x)))
2.324 * [backup-simplify]: Simplify (+ (/ (* 1/2 (/ 1 y)) (/ 1 x)) (/ 1 x)) into (+ (* 1/2 (/ x y)) (/ 1 x))
2.324 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (y x) around 0
2.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
2.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.324 * [taylor]: Taking taylor expansion of 1/2 in x
2.324 * [backup-simplify]: Simplify 1/2 into 1/2
2.324 * [taylor]: Taking taylor expansion of (/ x y) in x
2.324 * [taylor]: Taking taylor expansion of x in x
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [taylor]: Taking taylor expansion of y in x
2.324 * [backup-simplify]: Simplify y into y
2.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.324 * [taylor]: Taking taylor expansion of x in x
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.325 * [backup-simplify]: Simplify (/ 1 1) into 1
2.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
2.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.325 * [taylor]: Taking taylor expansion of 1/2 in y
2.325 * [backup-simplify]: Simplify 1/2 into 1/2
2.325 * [taylor]: Taking taylor expansion of (/ x y) in y
2.325 * [taylor]: Taking taylor expansion of x in y
2.325 * [backup-simplify]: Simplify x into x
2.325 * [taylor]: Taking taylor expansion of y in y
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 1 into 1
2.325 * [backup-simplify]: Simplify (/ x 1) into x
2.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.325 * [taylor]: Taking taylor expansion of x in y
2.325 * [backup-simplify]: Simplify x into x
2.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
2.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.325 * [taylor]: Taking taylor expansion of 1/2 in y
2.325 * [backup-simplify]: Simplify 1/2 into 1/2
2.325 * [taylor]: Taking taylor expansion of (/ x y) in y
2.325 * [taylor]: Taking taylor expansion of x in y
2.325 * [backup-simplify]: Simplify x into x
2.325 * [taylor]: Taking taylor expansion of y in y
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 1 into 1
2.325 * [backup-simplify]: Simplify (/ x 1) into x
2.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.325 * [taylor]: Taking taylor expansion of x in y
2.325 * [backup-simplify]: Simplify x into x
2.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.326 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
2.326 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
2.326 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
2.326 * [taylor]: Taking taylor expansion of 1/2 in x
2.326 * [backup-simplify]: Simplify 1/2 into 1/2
2.326 * [taylor]: Taking taylor expansion of x in x
2.326 * [backup-simplify]: Simplify 0 into 0
2.326 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
2.328 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
2.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.328 * [taylor]: Taking taylor expansion of x in x
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [backup-simplify]: Simplify (/ 1 1) into 1
2.328 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [taylor]: Taking taylor expansion of 0 in x
2.332 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.333 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.334 * [backup-simplify]: Simplify 1/2 into 1/2
2.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.338 * [backup-simplify]: Simplify (+ 0 0) into 0
2.338 * [taylor]: Taking taylor expansion of 0 in x
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.340 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.344 * [backup-simplify]: Simplify (+ 0 0) into 0
2.344 * [taylor]: Taking taylor expansion of 0 in x
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x)))
2.346 * [backup-simplify]: Simplify (+ (/ (* 1/2 (/ 1 (- y))) (/ 1 (- x))) (/ 1 (- x))) into (- (* 1/2 (/ x y)) (/ 1 x))
2.346 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (y x) around 0
2.346 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
2.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.346 * [taylor]: Taking taylor expansion of 1/2 in x
2.346 * [backup-simplify]: Simplify 1/2 into 1/2
2.346 * [taylor]: Taking taylor expansion of (/ x y) in x
2.346 * [taylor]: Taking taylor expansion of x in x
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [taylor]: Taking taylor expansion of y in x
2.346 * [backup-simplify]: Simplify y into y
2.346 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.346 * [taylor]: Taking taylor expansion of x in x
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.347 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
2.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.347 * [taylor]: Taking taylor expansion of 1/2 in y
2.347 * [backup-simplify]: Simplify 1/2 into 1/2
2.347 * [taylor]: Taking taylor expansion of (/ x y) in y
2.347 * [taylor]: Taking taylor expansion of x in y
2.347 * [backup-simplify]: Simplify x into x
2.347 * [taylor]: Taking taylor expansion of y in y
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.347 * [backup-simplify]: Simplify (/ x 1) into x
2.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.347 * [taylor]: Taking taylor expansion of x in y
2.347 * [backup-simplify]: Simplify x into x
2.347 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.347 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
2.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.347 * [taylor]: Taking taylor expansion of 1/2 in y
2.347 * [backup-simplify]: Simplify 1/2 into 1/2
2.347 * [taylor]: Taking taylor expansion of (/ x y) in y
2.347 * [taylor]: Taking taylor expansion of x in y
2.347 * [backup-simplify]: Simplify x into x
2.347 * [taylor]: Taking taylor expansion of y in y
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.347 * [backup-simplify]: Simplify (/ x 1) into x
2.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.347 * [taylor]: Taking taylor expansion of x in y
2.347 * [backup-simplify]: Simplify x into x
2.347 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.347 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
2.347 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
2.347 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
2.348 * [taylor]: Taking taylor expansion of 1/2 in x
2.348 * [backup-simplify]: Simplify 1/2 into 1/2
2.348 * [taylor]: Taking taylor expansion of x in x
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 1 into 1
2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
2.349 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
2.349 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
2.349 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
2.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.349 * [taylor]: Taking taylor expansion of x in x
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 1 into 1
2.350 * [backup-simplify]: Simplify (/ 1 1) into 1
2.350 * [backup-simplify]: Simplify (- 1) into -1
2.350 * [backup-simplify]: Simplify -1 into -1
2.350 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.353 * [backup-simplify]: Simplify (- 0) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.353 * [taylor]: Taking taylor expansion of 0 in x
2.353 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (- 0) into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.355 * [backup-simplify]: Simplify 1/2 into 1/2
2.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.358 * [backup-simplify]: Simplify (- 0) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.359 * [taylor]: Taking taylor expansion of 0 in x
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.360 * [backup-simplify]: Simplify (- 0) into 0
2.360 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.361 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.365 * [backup-simplify]: Simplify (- 0) into 0
2.366 * [backup-simplify]: Simplify (+ 0 0) into 0
2.366 * [taylor]: Taking taylor expansion of 0 in x
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (- 0) into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x)))
2.367 * * * [progress]: simplifying candidates
2.368 * [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)))
  (- (* (/ (* 1/2 y) x) (/ (* 1/2 y) x)) (* x x))
  (- (/ (* 1/2 y) x) x)
  (+ (/ (* 1/2 y) x) x)
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
2.368 * * [simplify]: iteration 0: 30 enodes
2.378 * * [simplify]: iteration 1: 83 enodes
2.411 * * [simplify]: iteration 2: 391 enodes
2.804 * * [simplify]: iteration 3: 2323 enodes
3.767 * * [simplify]: iteration complete: 5000 enodes
3.768 * * [simplify]: Extracting #0: cost 11 inf + 0
3.768 * * [simplify]: Extracting #1: cost 87 inf + 0
3.770 * * [simplify]: Extracting #2: cost 699 inf + 13
3.775 * * [simplify]: Extracting #3: cost 1645 inf + 538
3.781 * * [simplify]: Extracting #4: cost 841 inf + 9881
3.788 * * [simplify]: Extracting #5: cost 131 inf + 19691
3.798 * * [simplify]: Extracting #6: cost 20 inf + 20824
3.809 * * [simplify]: Extracting #7: cost 0 inf + 20976
3.821 * [simplify]: Simplified to:
  (* (sqrt (exp (/ y x))) (exp x))
  (log (+ x (/ (* 1/2 y) x)))
  (* (sqrt (exp (/ y x))) (exp x))
  (* (cbrt (+ x (/ (* 1/2 y) x))) (cbrt (+ x (/ (* 1/2 y) x))))
  (cbrt (+ x (/ (* 1/2 y) x)))
  (pow (+ x (/ (* 1/2 y) x)) 3)
  (sqrt (+ x (/ (* 1/2 y) x)))
  (sqrt (+ x (/ (* 1/2 y) x)))
  (+ (* (pow (/ y x) 3) 1/8) (pow x 3))
  (+ (* (/ (* 1/2 y) x) (- (/ (* 1/2 y) x) x)) (* x x))
  (- (* (* 1/4 (/ y x)) (/ y x)) (* x x))
  (- (/ (* 1/2 y) x) x)
  (+ x (/ (* 1/2 y) x))
  (+ x (/ (* 1/2 y) x))
  (+ x (/ (* 1/2 y) x))
  (+ x (/ (* 1/2 y) x))
3.821 * * * [progress]: adding candidates to table
3.883 * [progress]: [Phase 3 of 3] Extracting.
3.883 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
3.884 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
3.884 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
3.933 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.001 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.048 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.131 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.180 * * * [regime]: Found split indices: #<option (#s(si 2 36) #s(si 1 193) #s(si 0 255))>
4.180 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.286 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3378267015828925e+154) #s(sp 1 x 1.4171690306065683e+48) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (+ (/ (* 1/2 y) x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (/ -1/2 (/ x y)) x))>)
4.287 * [simplify]: Simplifying:
  (if (<= x -1.3378267015828925e+154) (- (/ -1/2 (/ x y)) x) (if (<= x 1.4171690306065683e+48) (sqrt (+ (* x x) y)) (+ (/ (* 1/2 y) x) x)))
4.287 * * [simplify]: iteration 0: 19 enodes
4.288 * * [simplify]: iteration 1: 22 enodes
4.290 * * [simplify]: iteration complete: 22 enodes
4.290 * * [simplify]: Extracting #0: cost 1 inf + 0
4.290 * * [simplify]: Extracting #1: cost 4 inf + 0
4.290 * * [simplify]: Extracting #2: cost 10 inf + 0
4.290 * * [simplify]: Extracting #3: cost 12 inf + 5
4.290 * * [simplify]: Extracting #4: cost 12 inf + 10
4.290 * * [simplify]: Extracting #5: cost 9 inf + 22
4.290 * * [simplify]: Extracting #6: cost 5 inf + 41
4.290 * * [simplify]: Extracting #7: cost 3 inf + 49
4.290 * * [simplify]: Extracting #8: cost 2 inf + 56
4.290 * * [simplify]: Extracting #9: cost 0 inf + 101
4.291 * [simplify]: Simplified to:
  (if (<= x -1.3378267015828925e+154) (- (/ -1/2 (/ x y)) x) (if (<= x 1.4171690306065683e+48) (sqrt (+ (* x x) y)) (+ (/ (* y 1/2) x) x)))
6.026 * [regime-testing]: Baseline error score: 21.47930991373922
6.035 * [regime-testing]: Oracle error score: 0.003363781797175712
6.066 * [regime-testing]: End program error score: 0.5563568243605033
6.201 * [regime-testing]: Target error score: 0.4950187408063314