8.310 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.046 * * * [progress]: [2/2] Setting up program.
0.048 * [progress]: [Phase 2 of 3] Improving.
0.048 * [simplify]: Simplifying:
  (log (+ x (sqrt (- (* x x) 1.0))))
0.048 * [simplify]: Sending expressions to egg_math:
 (log (+ h0 (sqrt (- (* h0 h0) h1))))
0.050 * * [simplify]: iteration  0 :  11  enodes  (cost  5 )
0.051 * * [simplify]: iteration  1 :  12  enodes  (cost  5 )
0.052 * * [simplify]: iteration  2 :  12  enodes  (cost  5 )
0.053 * * [progress]: iteration 1 / 4
0.053 * * * [progress]: picking best candidate
0.054 * * * * [pick]: Picked  #<alt (λ (x) (log (+ x (sqrt (- (* x x) 1.0)))))>
0.055 * * * [progress]: localizing error
0.061 * * * [progress]: generating rewritten candidates
0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2)
0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.096 * * * [progress]: generating series expansions
0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2)
0.096 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0))
0.096 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.096 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of 1.0 in x
0.096 * [backup-simplify]: Simplify 1.0 into 1.0
0.096 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.097 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.098 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.099 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.099 * [taylor]: Taking taylor expansion of x in x
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [taylor]: Taking taylor expansion of 1.0 in x
0.099 * [backup-simplify]: Simplify 1.0 into 1.0
0.099 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.099 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.100 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
0.101 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 1 0) into 1
0.104 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0)))
0.105 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0)))
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3))
0.113 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3))
0.116 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))
0.116 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0))
0.116 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0
0.116 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.116 * [taylor]: Taking taylor expansion of x in x
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (* 1 1) into 1
0.116 * [backup-simplify]: Simplify (/ 1 1) into 1
0.117 * [taylor]: Taking taylor expansion of 1.0 in x
0.117 * [backup-simplify]: Simplify 1.0 into 1.0
0.117 * [backup-simplify]: Simplify (+ 1 0) into 1
0.117 * [backup-simplify]: Simplify (sqrt 1) into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.119 * [taylor]: Taking taylor expansion of x in x
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (/ 1 1) into 1
0.119 * [taylor]: Taking taylor expansion of 1.0 in x
0.119 * [backup-simplify]: Simplify 1.0 into 1.0
0.119 * [backup-simplify]: Simplify (+ 1 0) into 1
0.120 * [backup-simplify]: Simplify (sqrt 1) into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.123 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.125 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5
0.125 * [backup-simplify]: Simplify -0.5 into -0.5
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125
0.130 * [backup-simplify]: Simplify -0.125 into -0.125
0.131 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))))
0.131 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0))
0.131 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0
0.131 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.131 * [taylor]: Taking taylor expansion of x in x
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of 1.0 in x
0.131 * [backup-simplify]: Simplify 1.0 into 1.0
0.132 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (sqrt 1) into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.133 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.133 * [taylor]: Taking taylor expansion of x in x
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (/ 1 1) into 1
0.134 * [taylor]: Taking taylor expansion of 1.0 in x
0.134 * [backup-simplify]: Simplify 1.0 into 1.0
0.134 * [backup-simplify]: Simplify (+ 1 0) into 1
0.134 * [backup-simplify]: Simplify (sqrt 1) into 1
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.137 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.139 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5
0.139 * [backup-simplify]: Simplify -0.5 into -0.5
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125
0.145 * [backup-simplify]: Simplify -0.125 into -0.125
0.145 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x)
0.145 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.145 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x)
0.145 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0
0.145 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.145 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.145 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.145 * [taylor]: Taking taylor expansion of x in x
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [taylor]: Taking taylor expansion of 1.0 in x
0.145 * [backup-simplify]: Simplify 1.0 into 1.0
0.146 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.146 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.147 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.147 * [backup-simplify]: Simplify (- 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
0.147 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.148 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.148 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [taylor]: Taking taylor expansion of 1.0 in x
0.148 * [backup-simplify]: Simplify 1.0 into 1.0
0.148 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.148 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.149 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
0.150 * [taylor]: Taking taylor expansion of x in x
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0))
0.151 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.151 * [backup-simplify]: Simplify (+ 0 1) into 1
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (- 0) into 0
0.152 * [backup-simplify]: Simplify (+ 1 0) into 1
0.154 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0)))
0.155 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0))))
0.156 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0)))
0.158 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))))
0.158 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))
0.158 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0
0.158 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of 1.0 in x
0.159 * [backup-simplify]: Simplify 1.0 into 1.0
0.159 * [backup-simplify]: Simplify (+ 1 0) into 1
0.159 * [backup-simplify]: Simplify (sqrt 1) into 1
0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.160 * [taylor]: Taking taylor expansion of x in x
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.161 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.161 * [taylor]: Taking taylor expansion of x in x
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (* 1 1) into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [taylor]: Taking taylor expansion of 1.0 in x
0.161 * [backup-simplify]: Simplify 1.0 into 1.0
0.162 * [backup-simplify]: Simplify (+ 1 0) into 1
0.162 * [backup-simplify]: Simplify (sqrt 1) into 1
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.163 * [taylor]: Taking taylor expansion of x in x
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [backup-simplify]: Simplify (+ 1 1) into 2
0.164 * [backup-simplify]: Simplify 2 into 2
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.166 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.168 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.174 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- 0) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [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 (- 0) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125)
0.182 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
0.182 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))))
0.182 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))
0.182 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0
0.182 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.182 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.183 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.183 * [taylor]: Taking taylor expansion of x in x
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [taylor]: Taking taylor expansion of 1.0 in x
0.183 * [backup-simplify]: Simplify 1.0 into 1.0
0.183 * [backup-simplify]: Simplify (+ 1 0) into 1
0.184 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.185 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.185 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.185 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [taylor]: Taking taylor expansion of 1.0 in x
0.186 * [backup-simplify]: Simplify 1.0 into 1.0
0.186 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.188 * [taylor]: Taking taylor expansion of x in x
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.188 * [backup-simplify]: Simplify (- 1) into -1
0.188 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.188 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (- 0) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.191 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.193 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- 0) into 0
0.194 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.194 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (- 0) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- 0) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (- 0) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (- 0) into 0
0.201 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125)
0.202 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (- 0) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (- 0) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (- 0) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- 0) into 0
0.211 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625)
0.211 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625)
0.212 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x))))
0.212 * * * [progress]: simplifying candidates
0.213 * [simplify]: Simplifying:
  (expm1 (sqrt (- (* x x) 1.0)))
  (log1p (sqrt (- (* x x) 1.0)))
  (log (sqrt (- (* x x) 1.0)))
  (exp (sqrt (- (* x x) 1.0)))
  (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0))))
  (cbrt (sqrt (- (* x x) 1.0)))
  (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)))
  (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))))
  (sqrt (cbrt (- (* x x) 1.0)))
  (sqrt (sqrt (- (* x x) 1.0)))
  (sqrt (sqrt (- (* x x) 1.0)))
  (sqrt 1)
  (sqrt (- (* x x) 1.0))
  (sqrt (+ x (sqrt 1.0)))
  (sqrt (- x (sqrt 1.0)))
  (sqrt (- (pow (* x x) 3) (pow 1.0 3)))
  (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))))
  (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))
  (sqrt (+ (* x x) 1.0))
  (/ 1 2)
  (sqrt (sqrt (- (* x x) 1.0)))
  (sqrt (sqrt (- (* x x) 1.0)))
  (expm1 (+ x (sqrt (- (* x x) 1.0))))
  (log1p (+ x (sqrt (- (* x x) 1.0))))
  (* (exp x) (exp (sqrt (- (* x x) 1.0))))
  (log (+ x (sqrt (- (* x x) 1.0))))
  (exp (+ x (sqrt (- (* x x) 1.0))))
  (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0)))))
  (cbrt (+ x (sqrt (- (* x x) 1.0))))
  (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0))))
  (sqrt (+ x (sqrt (- (* x x) 1.0))))
  (sqrt (+ x (sqrt (- (* x x) 1.0))))
  (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))
  (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))
  (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))
  (- x (sqrt (- (* x x) 1.0)))
  (+ x (sqrt (- (* x x) 1.0)))
  (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))
  (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))))
  (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x)
  (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))))
  (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))))
  (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x))))
0.213 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (- (* h0 h0) h1)))
 (log1p (sqrt (- (* h0 h0) h1)))
 (log (sqrt (- (* h0 h0) h1)))
 (exp (sqrt (- (* h0 h0) h1)))
 (* (cbrt (sqrt (- (* h0 h0) h1))) (cbrt (sqrt (- (* h0 h0) h1))))
 (cbrt (sqrt (- (* h0 h0) h1)))
 (* (* (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1))) (sqrt (- (* h0 h0) h1)))
 (sqrt (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))))
 (sqrt (cbrt (- (* h0 h0) h1)))
 (sqrt (sqrt (- (* h0 h0) h1)))
 (sqrt (sqrt (- (* h0 h0) h1)))
 (sqrt 1)
 (sqrt (- (* h0 h0) h1))
 (sqrt (+ h0 (sqrt h1)))
 (sqrt (- h0 (sqrt h1)))
 (sqrt (- (pow (* h0 h0) 3) (pow h1 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))
 (sqrt (+ (* h0 h0) h1))
 (/ 1 2)
 (sqrt (sqrt (- (* h0 h0) h1)))
 (sqrt (sqrt (- (* h0 h0) h1)))
 (expm1 (+ h0 (sqrt (- (* h0 h0) h1))))
 (log1p (+ h0 (sqrt (- (* h0 h0) h1))))
 (* (exp h0) (exp (sqrt (- (* h0 h0) h1))))
 (log (+ h0 (sqrt (- (* h0 h0) h1))))
 (exp (+ h0 (sqrt (- (* h0 h0) h1))))
 (* (cbrt (+ h0 (sqrt (- (* h0 h0) h1)))) (cbrt (+ h0 (sqrt (- (* h0 h0) h1)))))
 (cbrt (+ h0 (sqrt (- (* h0 h0) h1))))
 (* (* (+ h0 (sqrt (- (* h0 h0) h1))) (+ h0 (sqrt (- (* h0 h0) h1)))) (+ h0 (sqrt (- (* h0 h0) h1))))
 (sqrt (+ h0 (sqrt (- (* h0 h0) h1))))
 (sqrt (+ h0 (sqrt (- (* h0 h0) h1))))
 (+ (pow h0 3) (pow (sqrt (- (* h0 h0) h1)) 3))
 (+ (* h0 h0) (- (* (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1))) (* h0 (sqrt (- (* h0 h0) h1)))))
 (- (* h0 h0) (* (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1))))
 (- h0 (sqrt (- (* h0 h0) h1)))
 (+ h0 (sqrt (- (* h0 h0) h1)))
 (- (+ (* 1/2 (/ (pow h0 2) (sqrt (- h1)))) (sqrt (- h1))) (* 1/8 (/ (pow h0 4) (pow (sqrt (- h1)) 3))))
 (- h0 (+ (* h2 (/ 1 h0)) (* h3 (/ 1 (pow h0 3)))))
 (- (+ (* h2 (/ 1 h0)) (* h3 (/ 1 (pow h0 3)))) h0)
 (+ h0 (+ (* 1/2 (/ (pow h0 2) (sqrt (- h1)))) (sqrt (- h1))))
 (- (* 2 h0) (+ (* h2 (/ 1 h0)) (* h3 (/ 1 (pow h0 3)))))
 (+ (* h3 (/ 1 (pow h0 3))) (+ (* h4 (/ 1 (pow h0 5))) (* h2 (/ 1 h0))))
0.217 * * [simplify]: iteration  0 :  235  enodes  (cost  239 )
0.221 * * [simplify]: iteration  1 :  739  enodes  (cost  223 )
0.232 * * [simplify]: iteration  2 :  2858  enodes  (cost  218 )
0.287 * * [simplify]: iteration  3 :  5001  enodes  (cost  216 )
0.288 * * * [progress]: adding candidates to table
0.393 * * [progress]: iteration 2 / 4
0.394 * * * [progress]: picking best candidate
0.396 * * * * [pick]: Picked  #<alt (λ (x) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))>
0.396 * * * [progress]: localizing error
0.405 * * * [progress]: generating rewritten candidates
0.405 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2)
0.459 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.467 * * * [progress]: generating series expansions
0.467 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2)
0.468 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))
0.468 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0
0.468 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x
0.468 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x
0.468 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x
0.468 * [taylor]: Taking taylor expansion of x in x
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.468 * [taylor]: Taking taylor expansion of 1.0 in x
0.468 * [backup-simplify]: Simplify 1.0 into 1.0
0.468 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.469 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.469 * [taylor]: Taking taylor expansion of 1.0 in x
0.469 * [backup-simplify]: Simplify 1.0 into 1.0
0.469 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.470 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
0.471 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.472 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.473 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2))
0.474 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (+ 1 0) into 1
0.475 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0
0.477 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x
0.477 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x
0.477 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x
0.477 * [taylor]: Taking taylor expansion of x in x
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.477 * [taylor]: Taking taylor expansion of 1.0 in x
0.477 * [backup-simplify]: Simplify 1.0 into 1.0
0.478 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.478 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.478 * [taylor]: Taking taylor expansion of 1.0 in x
0.478 * [backup-simplify]: Simplify 1.0 into 1.0
0.478 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.479 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
0.480 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.481 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.482 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2))
0.483 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.483 * [backup-simplify]: Simplify (- 0) into 0
0.483 * [backup-simplify]: Simplify (+ 1 0) into 1
0.484 * [backup-simplify]: Simplify (+ 1 0) into 1
0.485 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0
0.488 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.489 * [backup-simplify]: Simplify (- 0) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1
0.494 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))
0.496 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))
0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0
0.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0
0.515 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))
0.517 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))
0.523 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))
0.524 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))
0.524 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0
0.524 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x
0.524 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x
0.524 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x
0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.524 * [taylor]: Taking taylor expansion of x in x
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.525 * [taylor]: Taking taylor expansion of 1.0 in x
0.525 * [backup-simplify]: Simplify 1.0 into 1.0
0.525 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.525 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.525 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.525 * [taylor]: Taking taylor expansion of 1.0 in x
0.525 * [backup-simplify]: Simplify 1.0 into 1.0
0.526 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.526 * [taylor]: Taking taylor expansion of x in x
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [backup-simplify]: Simplify (+ 1 0) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (sqrt 1) into 1
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.530 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.532 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x
0.532 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x
0.532 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x
0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.532 * [taylor]: Taking taylor expansion of x in x
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (/ 1 1) into 1
0.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.532 * [taylor]: Taking taylor expansion of 1.0 in x
0.532 * [backup-simplify]: Simplify 1.0 into 1.0
0.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.533 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.533 * [taylor]: Taking taylor expansion of 1.0 in x
0.533 * [backup-simplify]: Simplify 1.0 into 1.0
0.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.534 * [taylor]: Taking taylor expansion of x in x
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (+ 0 1) into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (sqrt 1) into 1
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.538 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.540 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2))
0.547 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2))
0.548 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2))
0.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.551 * [backup-simplify]: Simplify (- 0) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.556 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4))
0.562 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4))
0.565 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x))))
0.565 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))))
0.565 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0
0.565 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x
0.565 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x
0.565 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x
0.565 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.565 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.565 * [taylor]: Taking taylor expansion of 1.0 in x
0.566 * [backup-simplify]: Simplify 1.0 into 1.0
0.566 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.566 * [taylor]: Taking taylor expansion of x in x
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.567 * [backup-simplify]: Simplify (+ 0 1) into 1
0.567 * [backup-simplify]: Simplify (- 1) into -1
0.567 * [backup-simplify]: Simplify (sqrt 0) into 0
0.567 * [backup-simplify]: Simplify (- 1) into -1
0.568 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.568 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x
0.568 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x
0.568 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.568 * [taylor]: Taking taylor expansion of 1.0 in x
0.568 * [backup-simplify]: Simplify 1.0 into 1.0
0.569 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.569 * [taylor]: Taking taylor expansion of x in x
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (- 1) into -1
0.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.570 * [backup-simplify]: Simplify (sqrt 0) into 0
0.571 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.571 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x
0.571 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x
0.571 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x
0.571 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.571 * [taylor]: Taking taylor expansion of 1.0 in x
0.571 * [backup-simplify]: Simplify 1.0 into 1.0
0.571 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [backup-simplify]: Simplify (+ 0 1) into 1
0.572 * [backup-simplify]: Simplify (- 1) into -1
0.572 * [backup-simplify]: Simplify (sqrt 0) into 0
0.573 * [backup-simplify]: Simplify (- 1) into -1
0.573 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.573 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x
0.573 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x
0.573 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.573 * [taylor]: Taking taylor expansion of 1.0 in x
0.574 * [backup-simplify]: Simplify 1.0 into 1.0
0.574 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.574 * [taylor]: Taking taylor expansion of x in x
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [backup-simplify]: Simplify (- 1) into -1
0.575 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.575 * [backup-simplify]: Simplify (sqrt 0) into 0
0.576 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.576 * [backup-simplify]: Simplify (* 0 0) into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (- 0) into 0
0.578 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.580 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0))
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.581 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.584 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0)))
0.586 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0)
0.587 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.587 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.611 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.612 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- 0) into 0
0.614 * [backup-simplify]: Simplify (+ 0 0) into 0
0.622 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))
0.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.632 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))
0.649 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))
0.654 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))
0.660 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0)))))))))))
0.661 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.661 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))
0.661 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0
0.661 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x
0.661 * [taylor]: Taking taylor expansion of x in x
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x
0.661 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x
0.661 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x
0.661 * [taylor]: Taking taylor expansion of x in x
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.661 * [taylor]: Taking taylor expansion of 1.0 in x
0.661 * [backup-simplify]: Simplify 1.0 into 1.0
0.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.662 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x
0.662 * [taylor]: Taking taylor expansion of x in x
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.662 * [taylor]: Taking taylor expansion of 1.0 in x
0.662 * [backup-simplify]: Simplify 1.0 into 1.0
0.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.663 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
0.664 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.665 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.666 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2))
0.667 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.667 * [backup-simplify]: Simplify (- 0) into 0
0.667 * [backup-simplify]: Simplify (+ 1 0) into 1
0.668 * [backup-simplify]: Simplify (+ 1 0) into 1
0.669 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0
0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0
0.670 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x
0.670 * [taylor]: Taking taylor expansion of x in x
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x
0.670 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x
0.670 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x
0.670 * [taylor]: Taking taylor expansion of x in x
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.670 * [taylor]: Taking taylor expansion of 1.0 in x
0.670 * [backup-simplify]: Simplify 1.0 into 1.0
0.671 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.671 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x
0.671 * [taylor]: Taking taylor expansion of x in x
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.671 * [taylor]: Taking taylor expansion of 1.0 in x
0.671 * [backup-simplify]: Simplify 1.0 into 1.0
0.671 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.672 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
0.673 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.674 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.675 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2))
0.676 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.676 * [backup-simplify]: Simplify (- 0) into 0
0.676 * [backup-simplify]: Simplify (+ 1 0) into 1
0.677 * [backup-simplify]: Simplify (+ 1 0) into 1
0.678 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0
0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0
0.687 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.689 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2)))
0.689 * [backup-simplify]: Simplify (+ 1 0) into 1
0.689 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.690 * [backup-simplify]: Simplify (- 0) into 0
0.690 * [backup-simplify]: Simplify (+ 0 0) into 0
0.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.691 * [backup-simplify]: Simplify (+ 0 0) into 0
0.692 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1
0.695 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))
0.698 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2)))))
0.700 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))
0.704 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2)))))
0.704 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))
0.704 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0
0.704 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x
0.704 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x
0.704 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x
0.704 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x
0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.704 * [taylor]: Taking taylor expansion of x in x
0.704 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify (/ 1 1) into 1
0.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.705 * [taylor]: Taking taylor expansion of 1.0 in x
0.705 * [backup-simplify]: Simplify 1.0 into 1.0
0.705 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.705 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.706 * [taylor]: Taking taylor expansion of 1.0 in x
0.706 * [backup-simplify]: Simplify 1.0 into 1.0
0.706 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.706 * [taylor]: Taking taylor expansion of x in x
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 1 into 1
0.706 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [backup-simplify]: Simplify (+ 1 0) into 1
0.707 * [backup-simplify]: Simplify (+ 0 1) into 1
0.707 * [backup-simplify]: Simplify (* 1 1) into 1
0.707 * [backup-simplify]: Simplify (sqrt 1) into 1
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.710 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.712 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0
0.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.712 * [taylor]: Taking taylor expansion of x in x
0.712 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (/ 1 1) into 1
0.712 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x
0.712 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x
0.712 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x
0.713 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x
0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.713 * [taylor]: Taking taylor expansion of x in x
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.713 * [backup-simplify]: Simplify (/ 1 1) into 1
0.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.713 * [taylor]: Taking taylor expansion of 1.0 in x
0.713 * [backup-simplify]: Simplify 1.0 into 1.0
0.713 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.713 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.714 * [taylor]: Taking taylor expansion of 1.0 in x
0.714 * [backup-simplify]: Simplify 1.0 into 1.0
0.714 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.714 * [taylor]: Taking taylor expansion of x in x
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 1 into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.715 * [backup-simplify]: Simplify (+ 1 0) into 1
0.715 * [backup-simplify]: Simplify (+ 0 1) into 1
0.715 * [backup-simplify]: Simplify (* 1 1) into 1
0.715 * [backup-simplify]: Simplify (sqrt 1) into 1
0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.716 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.718 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0))
0.720 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0
0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.720 * [taylor]: Taking taylor expansion of x in x
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (/ 1 1) into 1
0.721 * [backup-simplify]: Simplify (+ 1 1) into 2
0.721 * [backup-simplify]: Simplify 2 into 2
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (- 0) into 0
0.723 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2))
0.728 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2))
0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.730 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2)))
0.732 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2)))
0.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.733 * [backup-simplify]: Simplify (+ 0 0) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.734 * [backup-simplify]: Simplify (- 0) into 0
0.734 * [backup-simplify]: Simplify (+ 0 0) into 0
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0
0.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (+ 0 0) into 0
0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.740 * [backup-simplify]: Simplify (- 0) into 0
0.740 * [backup-simplify]: Simplify (+ 0 0) into 0
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0
0.745 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4))
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4)))
0.748 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4)))
0.751 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x))))
0.752 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))
0.752 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0
0.752 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x
0.752 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x
0.752 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x
0.752 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x
0.752 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.752 * [taylor]: Taking taylor expansion of 1.0 in x
0.752 * [backup-simplify]: Simplify 1.0 into 1.0
0.752 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.753 * [taylor]: Taking taylor expansion of x in x
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (/ 1 1) into 1
0.753 * [backup-simplify]: Simplify (+ 0 1) into 1
0.754 * [backup-simplify]: Simplify (- 1) into -1
0.754 * [backup-simplify]: Simplify (sqrt 0) into 0
0.754 * [backup-simplify]: Simplify (- 1) into -1
0.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.755 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x
0.755 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x
0.755 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.755 * [taylor]: Taking taylor expansion of 1.0 in x
0.755 * [backup-simplify]: Simplify 1.0 into 1.0
0.755 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.756 * [taylor]: Taking taylor expansion of x in x
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [backup-simplify]: Simplify (- 1) into -1
0.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.757 * [backup-simplify]: Simplify (sqrt 0) into 0
0.757 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.757 * [taylor]: Taking taylor expansion of x in x
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.758 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x
0.758 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x
0.758 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x
0.758 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x
0.758 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x
0.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.758 * [taylor]: Taking taylor expansion of 1.0 in x
0.758 * [backup-simplify]: Simplify 1.0 into 1.0
0.758 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.758 * [taylor]: Taking taylor expansion of x in x
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (/ 1 1) into 1
0.759 * [backup-simplify]: Simplify (+ 0 1) into 1
0.759 * [backup-simplify]: Simplify (- 1) into -1
0.759 * [backup-simplify]: Simplify (sqrt 0) into 0
0.760 * [backup-simplify]: Simplify (- 1) into -1
0.760 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.760 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x
0.760 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x
0.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x
0.760 * [taylor]: Taking taylor expansion of 1.0 in x
0.760 * [backup-simplify]: Simplify 1.0 into 1.0
0.761 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.761 * [taylor]: Taking taylor expansion of x in x
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [backup-simplify]: Simplify (/ 1 1) into 1
0.762 * [backup-simplify]: Simplify (- 1) into -1
0.762 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.762 * [backup-simplify]: Simplify (sqrt 0) into 0
0.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.763 * [taylor]: Taking taylor expansion of x in x
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 1 into 1
0.763 * [backup-simplify]: Simplify (/ 1 1) into 1
0.763 * [backup-simplify]: Simplify (* 0 0) into 0
0.764 * [backup-simplify]: Simplify (+ 0 0) into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.764 * [backup-simplify]: Simplify (- 1) into -1
0.764 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.764 * [backup-simplify]: Simplify -1 into -1
0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (- 0) into 0
0.766 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.768 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0))
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
0.769 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0))
0.777 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0)))
0.780 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0)
0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.780 * [backup-simplify]: Simplify (- 0) into 0
0.781 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
0.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.782 * [backup-simplify]: Simplify (- 0) into 0
0.782 * [backup-simplify]: Simplify (+ 0 0) into 0
0.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ 0 0) into 0
0.787 * [backup-simplify]: Simplify (- 0) into 0
0.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.800 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.801 * [backup-simplify]: Simplify (- 0) into 0
0.803 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.804 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
0.806 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x)))))))
0.806 * * * [progress]: simplifying candidates
0.807 * [simplify]: Simplifying:
  (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))
  (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))
  (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0)))))
  (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))))
  (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))
  (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3))))
  (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))))
  (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))
  (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))))
  (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3))))
  (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))))
  (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))
  (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0))))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt 1))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt 1))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0)))))
  (* (sqrt (+ x (sqrt 1.0))) 1)
  (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3))))
  (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))
  (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0))))
  (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))
  (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))
  (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))
  (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))
  (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
  (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
  (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))
  (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x))))
  (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0)))))))))))
  (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2)))))
  (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x))))
  (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x)))))))
0.808 * [simplify]: Sending expressions to egg_math:
 (expm1 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (log1p (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (* (+ h0 (sqrt h1)) (- h0 (sqrt h1)))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))
 (* (+ h0 (sqrt h1)) (- h0 (sqrt h1)))
 (+ (log (sqrt (+ h0 (sqrt h1)))) (log (sqrt (- h0 (sqrt h1)))))
 (log (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (exp (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (* (* (* (sqrt (+ h0 (sqrt h1))) (sqrt (+ h0 (sqrt h1)))) (sqrt (+ h0 (sqrt h1)))) (* (* (sqrt (- h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))) (sqrt (- h0 (sqrt h1)))))
 (* (cbrt (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))) (cbrt (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (cbrt (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (* (* (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))) (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))) (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (* (+ h0 (sqrt h1)) (- h0 (sqrt h1)))
 (sqrt (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (sqrt (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (+ (pow h0 3) (pow (sqrt h1) 3))) (sqrt (- (pow h0 3) (pow (sqrt h1) 3))))
 (* (sqrt (+ (* h0 h0) (- (* (sqrt h1) (sqrt h1)) (* h0 (sqrt h1))))) (sqrt (+ (* h0 h0) (+ (* (sqrt h1) (sqrt h1)) (* h0 (sqrt h1))))))
 (* (sqrt (+ (pow h0 3) (pow (sqrt h1) 3))) (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))))
 (* (sqrt (+ (* h0 h0) (- (* (sqrt h1) (sqrt h1)) (* h0 (sqrt h1))))) (sqrt (+ h0 (sqrt h1))))
 (* (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))) (sqrt (- (pow h0 3) (pow (sqrt h1) 3))))
 (* (sqrt (- h0 (sqrt h1))) (sqrt (+ (* h0 h0) (+ (* (sqrt h1) (sqrt h1)) (* h0 (sqrt h1))))))
 (* (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))) (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))))
 (* (sqrt (- h0 (sqrt h1))) (sqrt (+ h0 (sqrt h1))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (+ h0 (sqrt h1))) (* (cbrt (sqrt (- h0 (sqrt h1)))) (cbrt (sqrt (- h0 (sqrt h1))))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (* (cbrt (- h0 (sqrt h1))) (cbrt (- h0 (sqrt h1))))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt 1))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (+ (sqrt h0) (sqrt (sqrt h1)))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (+ (sqrt h0) (sqrt (sqrt h1)))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt 1))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (sqrt (- h0 (sqrt h1)))))
 (* (sqrt (+ h0 (sqrt h1))) 1)
 (* (cbrt (sqrt (+ h0 (sqrt h1)))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (cbrt (+ h0 (sqrt h1)))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (sqrt (+ h0 (sqrt h1)))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- (pow h0 3) (pow (sqrt h1) 3))))
 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))))
 (* (sqrt (+ (pow h0 3) (pow (sqrt h1) 3))) (sqrt (- h0 (sqrt h1))))
 (* (sqrt (- (* h0 h0) (* (sqrt h1) (sqrt h1)))) (sqrt (- h0 (sqrt h1))))
 (expm1 (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (log1p (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (* (exp h0) (exp (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (log (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (exp (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (* (cbrt (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))) (cbrt (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))))
 (cbrt (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (* (* (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))) (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))) (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (sqrt (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (sqrt (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (+ (pow h0 3) (pow (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))) 3))
 (+ (* h0 h0) (- (* (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))) (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))) (* h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))))
 (- (* h0 h0) (* (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))) (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
 (- h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1)))))
 (- (+ (* 1/2 (/ (pow h0 2) (sqrt (* -1 (pow (sqrt h1) 2))))) (sqrt (* -1 (pow (sqrt h1) 2)))) (* 1/8 (/ (pow h0 4) (pow (sqrt (* -1 (pow (sqrt h1) 2))) 3))))
 (- h0 (+ (* 1/8 (/ (pow (sqrt h1) 4) (pow h0 3))) (* 1/2 (/ (pow (sqrt h1) 2) h0))))
 (- (+ (* h2 (/ (pow (sqrt h1) 2) (pow h0 2))) (- (+ (* h2 (/ (sqrt h1) (pow h0 2))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ (sqrt h1) h0)) (- h2)))))))))))
 (+ (* 1/2 (/ (pow h0 2) (sqrt (* -1 (pow (sqrt h1) 2))))) (+ h0 (sqrt (* -1 (pow (sqrt h1) 2)))))
 (- (* 2 h0) (+ (* 1/8 (/ (pow (sqrt h1) 4) (pow h0 3))) (* 1/2 (/ (pow (sqrt h1) 2) h0))))
 (- h0 (+ h2 (- (+ (* h2 (/ (sqrt h1) h0)) (- (* h2 (/ 1 h0)))))))
0.813 * * [simplify]: iteration  0 :  382  enodes  (cost  708 )
0.819 * * [simplify]: iteration  1 :  1369  enodes  (cost  643 )
0.842 * * [simplify]: iteration  2 :  5002  enodes  (cost  629 )
0.845 * * * [progress]: adding candidates to table
1.033 * [progress]: [Phase 3 of 3] Extracting.
1.035 * [simplify]: Simplifying:
  (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
1.035 * [simplify]: Sending expressions to egg_math:
 (log (+ h0 (* (sqrt (+ h0 (sqrt h1))) (sqrt (- h0 (sqrt h1))))))
1.036 * * [simplify]: iteration  0 :  13  enodes  (cost  9 )
1.036 * * [simplify]: iteration  1 :  13  enodes  (cost  9 )
2.578 * [regime-testing]: End program error score: 0.035504438054756844