4.593 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.051 * * * [progress]: [2/2] Setting up program.
0.053 * [progress]: [Phase 2 of 3] Improving.
0.053 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (+ x (sqrt (- (* x x) 1.0))))
0.054 * * [simplify]: iteration  0 :  7  enodes  (cost  9 )
0.055 * * [simplify]: iteration  1 :  10  enodes  (cost  9 )
0.056 * * [simplify]: iteration  2 :  11  enodes  (cost  9 )
0.057 * * [simplify]: iteration  done :  11  enodes  (cost  9 )
0.057 * [simplify]: Simplified to:
   (log (+ x (sqrt (- (* x x) 1.0))))
0.057 * * [progress]: iteration 1 / 4
0.057 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (x) (log (+ x (sqrt (- (* x x) 1.0)))))>
0.059 * * * [progress]: localizing error
0.066 * * * [progress]: generating rewritten candidates
0.066 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2)
0.072 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.081 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.091 * * * [progress]: generating series expansions
0.091 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2)
0.092 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0
0.092 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.092 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of 1.0 in x
0.094 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.094 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.095 * [taylor]: Taking taylor expansion of x in x
0.095 * [taylor]: Taking taylor expansion of 1.0 in x
0.113 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.113 * [taylor]: Taking taylor expansion of x in x
0.114 * [taylor]: Taking taylor expansion of 1.0 in x
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 * [taylor]: Taking taylor expansion of 1.0 in x
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
0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.132 * [taylor]: Taking taylor expansion of x in x
0.132 * [taylor]: Taking taylor expansion of 1.0 in x
0.134 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.134 * [taylor]: Taking taylor expansion of x in x
0.134 * [taylor]: Taking taylor expansion of 1.0 in x
0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.146 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0
0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.146 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.146 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.147 * [taylor]: Taking taylor expansion of x in x
0.147 * [taylor]: Taking taylor expansion of 1.0 in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.149 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.149 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [taylor]: Taking taylor expansion of 1.0 in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.160 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0
0.160 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.160 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.160 * [taylor]: Taking taylor expansion of x in x
0.160 * [taylor]: Taking taylor expansion of 1.0 in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.162 * [taylor]: Taking taylor expansion of x in x
0.162 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.162 * [taylor]: Taking taylor expansion of x in x
0.163 * [taylor]: Taking taylor expansion of 1.0 in x
0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.165 * [taylor]: Taking taylor expansion of x in x
0.179 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0
0.179 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.179 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.179 * [taylor]: Taking taylor expansion of x in x
0.180 * [taylor]: Taking taylor expansion of 1.0 in x
0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.182 * [taylor]: Taking taylor expansion of x in x
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
0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.182 * [taylor]: Taking taylor expansion of x in x
0.182 * [taylor]: Taking taylor expansion of 1.0 in x
0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.185 * [taylor]: Taking taylor expansion of x in x
0.213 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.213 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0
0.213 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x
0.213 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.213 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.213 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.213 * [taylor]: Taking taylor expansion of x in x
0.213 * [taylor]: Taking taylor expansion of 1.0 in x
0.215 * [taylor]: Taking taylor expansion of x in x
0.217 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x
0.217 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x
0.217 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x
0.217 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x
0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.217 * [taylor]: Taking taylor expansion of x in x
0.217 * [taylor]: Taking taylor expansion of 1.0 in x
0.219 * [taylor]: Taking taylor expansion of x in x
0.267 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0
0.267 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x
0.267 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.267 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.268 * [taylor]: Taking taylor expansion of 1.0 in x
0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.271 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x
0.271 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.271 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.271 * [taylor]: Taking taylor expansion of x in x
0.271 * [taylor]: Taking taylor expansion of 1.0 in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.321 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0
0.321 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x
0.321 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.321 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.322 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [taylor]: Taking taylor expansion of 1.0 in x
0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.324 * [taylor]: Taking taylor expansion of x in x
0.331 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x
0.331 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x
0.331 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x
0.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [taylor]: Taking taylor expansion of 1.0 in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.401 * * * [progress]: simplifying candidates
0.402 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)))
  (* (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)))
  (log (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))))
  (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))
  (log (sqrt (+ x (sqrt (- (* x x) 1.0)))))
  (log (sqrt (+ x (sqrt (- (* x x) 1.0)))))
  (log 1)
  (log (+ x (sqrt (- (* x x) 1.0))))
  (log 1)
  (log (+ x (sqrt (- (* x x) 1.0))))
  (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)))
  (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))))
  (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))))
  (log (- x (sqrt (- (* x x) 1.0))))
  (log (+ x (sqrt (- (* x x) 1.0))))
  (log (log (+ x (sqrt (- (* x x) 1.0)))))
  (exp (log (+ x (sqrt (- (* x x) 1.0)))))
  (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))))
  (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))
  (* (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (+ x (sqrt (- (* x x) 1.0)))))
  (sqrt (log (+ x (sqrt (- (* x x) 1.0)))))
  (sqrt (log (+ 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))))
  (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3))))
  (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2))))))
  (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2)))))
0.406 * * [simplify]: iteration  0 :  140  enodes  (cost  780 )
0.432 * * [simplify]: iteration  1 :  317  enodes  (cost  714 )
0.489 * * [simplify]: iteration  2 :  874  enodes  (cost  637 )