0.681 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.348 * * * [progress]: [2/2] Setting up program.
0.351 * [progress]: [Phase 2 of 3] Improving.
0.354 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (sqrt (- x 1.0)) (sqrt x))
0.354 * [simplify]: Sending expressions to egg_math:
 (* (sqrt (- h0 h1)) (sqrt h0))
0.380 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.381 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.383 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.383 * [simplify]: Simplified to:
   (* (sqrt (- x 1.0)) (sqrt x))
0.384 * * [progress]: iteration 1 / 4
0.384 * * * [progress]: picking best candidate
0.386 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (- x 1.0)) (sqrt x)))>
0.387 * * * [progress]: localizing error
0.394 * * * [progress]: generating rewritten candidates
0.395 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.426 * * * [progress]: generating series expansions
0.426 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.430 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.431 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.431 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.431 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [taylor]: Taking taylor expansion of 1.0 in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.436 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.436 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.436 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.436 * [taylor]: Taking taylor expansion of x in x
0.436 * [taylor]: Taking taylor expansion of 1.0 in x
0.436 * [taylor]: Taking taylor expansion of x in x
0.449 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.449 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.449 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.449 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.449 * [taylor]: Taking taylor expansion of x in x
0.449 * [taylor]: Taking taylor expansion of 1.0 in x
0.449 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.454 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.454 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of 1.0 in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.461 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0
0.461 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.461 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.461 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.461 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.461 * [taylor]: Taking taylor expansion of 1.0 in x
0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.461 * [taylor]: Taking taylor expansion of x in x
0.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.463 * [taylor]: Taking taylor expansion of -1 in x
0.463 * [taylor]: Taking taylor expansion of x in x
0.465 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.465 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.465 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.465 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.465 * [taylor]: Taking taylor expansion of 1.0 in x
0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.465 * [taylor]: Taking taylor expansion of x in x
0.467 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.467 * [taylor]: Taking taylor expansion of -1 in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.500 * * * [progress]: simplifying candidates
0.501 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (* (sqrt (- x 1.0)) (sqrt x)))
  (log1p (* (sqrt (- x 1.0)) (sqrt x)))
  (* (- x 1.0) x)
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (- x 1.0) x)
  (+ (log (sqrt (- x 1.0))) (log (sqrt x)))
  (log (* (sqrt (- x 1.0)) (sqrt x)))
  (exp (* (sqrt (- x 1.0)) (sqrt x)))
  (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
  (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))))
  (cbrt (* (sqrt (- x 1.0)) (sqrt x)))
  (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x)))
  (* (- x 1.0) x)
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))
  (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x))))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) (sqrt 1))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) 1)
  (* (cbrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (cbrt (- x 1.0))) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))
  (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
  (- x (+ 0.5 (* 0.125 (/ 1 x))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.501 * [simplify]: Sending expressions to egg_math:
 (expm1 (* (sqrt (- h0 h1)) (sqrt h0)))
 (log1p (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (- h0 h1) h0)
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (- h0 h1) h0)
 (+ (log (sqrt (- h0 h1))) (log (sqrt h0)))
 (log (* (sqrt (- h0 h1)) (sqrt h0)))
 (exp (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (* (* (sqrt (- h0 h1)) (sqrt (- h0 h1))) (sqrt (- h0 h1))) (* (* (sqrt h0) (sqrt h0)) (sqrt h0)))
 (* (cbrt (* (sqrt (- h0 h1)) (sqrt h0))) (cbrt (* (sqrt (- h0 h1)) (sqrt h0))))
 (cbrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (* (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0))) (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (- h0 h1) h0)
 (sqrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (sqrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))
 (* (sqrt (- h0 h1)) (sqrt (* (cbrt h0) (cbrt h0))))
 (* (sqrt (- h0 h1)) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) (sqrt 1))
 (* (sqrt (- h0 h1)) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) 1)
 (* (cbrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (cbrt (- h0 h1))) (sqrt h0))
 (* (sqrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (- (sqrt h0) (sqrt h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (- (pow h0 3) (pow h1 3))) (sqrt h0))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt h0))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0))))))
 (- h0 (+ h3 (* h4 (/ 1 h0))))
 (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2)))))
0.505 * * [simplify]: iteration  0 :  188  enodes  (cost  226 )
0.508 * * [simplify]: iteration  1 :  635  enodes  (cost  215 )
0.521 * * [simplify]: iteration  2 :  2636  enodes  (cost  210 )
0.577 * * [simplify]: iteration  3 :  5002  enodes  (cost  210 )
0.578 * [simplify]: Simplified to:
   (expm1 (* (sqrt (- x 1.0)) (sqrt x)))
  (log1p (* (sqrt (- x 1.0)) (sqrt x)))
  (* (- x 1.0) x)
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (- x 1.0) x)
  (log (* (sqrt (- x 1.0)) (sqrt x)))
  (log (* (sqrt (- x 1.0)) (sqrt x)))
  (exp (* (sqrt (- x 1.0)) (sqrt x)))
  (pow (* (sqrt (- x 1.0)) (sqrt x)) 3)
  (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))))
  (cbrt (* (sqrt (- x 1.0)) (sqrt x)))
  (pow (* (sqrt (- x 1.0)) (sqrt x)) 3)
  (* (- x 1.0) x)
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))
  (* (fabs (cbrt x)) (sqrt (- x 1.0)))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (sqrt (- x 1.0))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (sqrt (- x 1.0))
  (* (cbrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (cbrt (- x 1.0))) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))
  (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
  (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x)))
  (- x (fma 0.125 (/ 1 x) 0.5))
  (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2)))
0.578 * * * [progress]: adding candidates to table
0.648 * * [progress]: iteration 2 / 4
0.648 * * * [progress]: picking best candidate
0.650 * * * * [pick]: Picked  #<alt (λ (x) (- x (fma 0.125 (/ 1 x) 0.5)))>
0.650 * * * [progress]: localizing error
0.656 * * * [progress]: generating rewritten candidates
0.656 * * * [progress]: generating series expansions
0.656 * * * [progress]: simplifying candidates
0.656 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.656 * [simplify]: Sending expressions to egg_math:
 
0.658 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.658 * [simplify]: Simplified to:
   
0.658 * * * [progress]: adding candidates to table
0.659 * * [progress]: iteration 3 / 4
0.659 * * * [progress]: picking best candidate
0.660 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (* (- x 1.0) x)))>
0.660 * * * [progress]: localizing error
0.664 * * * [progress]: generating rewritten candidates
0.664 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.674 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.698 * * * [progress]: generating series expansions
0.698 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.698 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.698 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.698 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.698 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.698 * [taylor]: Taking taylor expansion of x in x
0.698 * [taylor]: Taking taylor expansion of 1.0 in x
0.698 * [taylor]: Taking taylor expansion of x in x
0.702 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.702 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.702 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.702 * [taylor]: Taking taylor expansion of x in x
0.702 * [taylor]: Taking taylor expansion of 1.0 in x
0.702 * [taylor]: Taking taylor expansion of x in x
0.712 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.713 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.713 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.713 * [taylor]: Taking taylor expansion of (- (/ 1 x) 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 * [taylor]: Taking taylor expansion of 1.0 in x
0.713 * [taylor]: Taking taylor expansion of x in x
0.717 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.717 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.717 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.717 * [taylor]: Taking taylor expansion of x in x
0.717 * [taylor]: Taking taylor expansion of 1.0 in x
0.717 * [taylor]: Taking taylor expansion of x in x
0.724 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0
0.724 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.724 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.724 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.724 * [taylor]: Taking taylor expansion of 1.0 in x
0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.724 * [taylor]: Taking taylor expansion of x in x
0.725 * [taylor]: Taking taylor expansion of x in x
0.728 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.728 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.728 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.728 * [taylor]: Taking taylor expansion of 1.0 in x
0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.728 * [taylor]: Taking taylor expansion of x in x
0.728 * [taylor]: Taking taylor expansion of x in x
0.734 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.734 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0
0.734 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.734 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.734 * [taylor]: Taking taylor expansion of x in x
0.734 * [taylor]: Taking taylor expansion of 1.0 in x
0.734 * [taylor]: Taking taylor expansion of x in x
0.734 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.734 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.734 * [taylor]: Taking taylor expansion of x in x
0.734 * [taylor]: Taking taylor expansion of 1.0 in x
0.734 * [taylor]: Taking taylor expansion of x in x
0.746 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0
0.746 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.746 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.746 * [taylor]: Taking taylor expansion of x in x
0.747 * [taylor]: Taking taylor expansion of 1.0 in x
0.747 * [taylor]: Taking taylor expansion of x in x
0.747 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.747 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.747 * [taylor]: Taking taylor expansion of x in x
0.747 * [taylor]: Taking taylor expansion of 1.0 in x
0.747 * [taylor]: Taking taylor expansion of x in x
0.763 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0
0.763 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.763 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.763 * [taylor]: Taking taylor expansion of 1.0 in x
0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.763 * [taylor]: Taking taylor expansion of x in x
0.763 * [taylor]: Taking taylor expansion of x in x
0.764 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.764 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.764 * [taylor]: Taking taylor expansion of 1.0 in x
0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.764 * [taylor]: Taking taylor expansion of x in x
0.764 * [taylor]: Taking taylor expansion of x in x
0.774 * * * [progress]: simplifying candidates
0.774 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (* (- x 1.0) x)))
  (log1p (sqrt (* (- x 1.0) x)))
  (log (sqrt (* (- x 1.0) x)))
  (exp (sqrt (* (- x 1.0) x)))
  (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x))))
  (cbrt (sqrt (* (- x 1.0) x)))
  (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x)))
  (sqrt (- x 1.0))
  (sqrt x)
  (sqrt (* (- (pow x 3) (pow 1.0 3)) x))
  (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))
  (sqrt (* (- (* x x) (* 1.0 1.0)) x))
  (sqrt (+ x 1.0))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (- x 1.0) x)))
  (sqrt (sqrt (* (- x 1.0) x)))
  (expm1 (* (- x 1.0) x))
  (log1p (* (- x 1.0) x))
  (* (- x 1.0) x)
  (+ (log (- x 1.0)) (log x))
  (log (* (- x 1.0) x))
  (exp (* (- x 1.0) x))
  (* (* (* (- x 1.0) (- x 1.0)) (- x 1.0)) (* (* x x) x))
  (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x)))
  (cbrt (* (- x 1.0) x))
  (* (* (* (- x 1.0) x) (* (- x 1.0) x)) (* (- x 1.0) x))
  (sqrt (* (- x 1.0) x))
  (sqrt (* (- x 1.0) x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (- x 1.0) (* (cbrt x) (cbrt x)))
  (* (- x 1.0) (sqrt x))
  (* (- x 1.0) 1)
  (* (cbrt (- x 1.0)) x)
  (* (sqrt (- x 1.0)) x)
  (* (- x 1.0) x)
  (* (- (sqrt x) (sqrt 1.0)) x)
  (* (- x 1.0) x)
  (* (- (pow x 3) (pow 1.0 3)) x)
  (* (- (* x x) (* 1.0 1.0)) x)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
  (- x (+ 0.5 (* 0.125 (/ 1 x))))
  (- (+ 0.5 (* 0.125 (/ 1 x))) x)
  (- (pow x 2) (* 1.0 x))
  (- (pow x 2) (* 1.0 x))
  (- (pow x 2) (* 1.0 x))
0.774 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (* (- h0 h1) h0)))
 (log1p (sqrt (* (- h0 h1) h0)))
 (log (sqrt (* (- h0 h1) h0)))
 (exp (sqrt (* (- h0 h1) h0)))
 (* (cbrt (sqrt (* (- h0 h1) h0))) (cbrt (sqrt (* (- h0 h1) h0))))
 (cbrt (sqrt (* (- h0 h1) h0)))
 (* (* (sqrt (* (- h0 h1) h0)) (sqrt (* (- h0 h1) h0))) (sqrt (* (- h0 h1) h0)))
 (sqrt (- h0 h1))
 (sqrt h0)
 (sqrt (* (- (pow h0 3) (pow h1 3)) h0))
 (sqrt (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))))
 (sqrt (* (- (* h0 h0) (* h1 h1)) h0))
 (sqrt (+ h0 h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* (- h0 h1) h0)))
 (sqrt (sqrt (* (- h0 h1) h0)))
 (expm1 (* (- h0 h1) h0))
 (log1p (* (- h0 h1) h0))
 (* (- h0 h1) h0)
 (+ (log (- h0 h1)) (log h0))
 (log (* (- h0 h1) h0))
 (exp (* (- h0 h1) h0))
 (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* h0 h0) h0))
 (* (cbrt (* (- h0 h1) h0)) (cbrt (* (- h0 h1) h0)))
 (cbrt (* (- h0 h1) h0))
 (* (* (* (- h0 h1) h0) (* (- h0 h1) h0)) (* (- h0 h1) h0))
 (sqrt (* (- h0 h1) h0))
 (sqrt (* (- h0 h1) h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (- h0 h1) (* (cbrt h0) (cbrt h0)))
 (* (- h0 h1) (sqrt h0))
 (* (- h0 h1) 1)
 (* (cbrt (- h0 h1)) h0)
 (* (sqrt (- h0 h1)) h0)
 (* (- h0 h1) h0)
 (* (- (sqrt h0) (sqrt h1)) h0)
 (* (- h0 h1) h0)
 (* (- (pow h0 3) (pow h1 3)) h0)
 (* (- (* h0 h0) (* h1 h1)) h0)
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0))))))
 (- h0 (+ h3 (* h4 (/ 1 h0))))
 (- (+ h3 (* h4 (/ 1 h0))) h0)
 (- (pow h0 2) (* h1 h0))
 (- (pow h0 2) (* h1 h0))
 (- (pow h0 2) (* h1 h0))
0.778 * * [simplify]: iteration  0 :  177  enodes  (cost  178 )
0.781 * * [simplify]: iteration  1 :  612  enodes  (cost  161 )
0.794 * * [simplify]: iteration  2 :  3175  enodes  (cost  158 )
0.850 * * [simplify]: iteration  3 :  5001  enodes  (cost  158 )
0.852 * [simplify]: Simplified to:
   (expm1 (sqrt (* (- x 1.0) x)))
  (log1p (sqrt (* (- x 1.0) x)))
  (log (sqrt (* (- x 1.0) x)))
  (exp (sqrt (* (- x 1.0) x)))
  (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x))))
  (cbrt (sqrt (* (- x 1.0) x)))
  (pow (sqrt (* (- x 1.0) x)) 3)
  (sqrt (- x 1.0))
  (sqrt x)
  (sqrt (* (- (pow x 3) (pow 1.0 3)) x))
  (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))
  (sqrt (* (- (* x x) (* 1.0 1.0)) x))
  (sqrt (+ x 1.0))
  1/2
  1/2
  (sqrt (sqrt (* (- x 1.0) x)))
  (sqrt (sqrt (* (- x 1.0) x)))
  (expm1 (* (- x 1.0) x))
  (log1p (* (- x 1.0) x))
  (* (- x 1.0) x)
  (log (* (- x 1.0) x))
  (log (* (- x 1.0) x))
  (exp (* (- x 1.0) x))
  (pow (* (- x 1.0) x) 3)
  (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x)))
  (cbrt (* (- x 1.0) x))
  (pow (* (- x 1.0) x) 3)
  (sqrt (* (- x 1.0) x))
  (sqrt (* (- x 1.0) x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (- x 1.0) (* (cbrt x) (cbrt x)))
  (* (- x 1.0) (sqrt x))
  (- x 1.0)
  (* (cbrt (- x 1.0)) x)
  (* (sqrt (- x 1.0)) x)
  (* (- x 1.0) x)
  (* (- (sqrt x) (sqrt 1.0)) x)
  (* (- x 1.0) x)
  (* (- (pow x 3) (pow 1.0 3)) x)
  (* (- (* x x) (* 1.0 1.0)) x)
  (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x)))
  (- x (fma 0.125 (/ 1 x) 0.5))
  (fma 0.125 (/ 1 x) (- 0.5 x))
  (* (- x 1.0) x)
  (* (- x 1.0) x)
  (* (- x 1.0) x)
0.852 * * * [progress]: adding candidates to table
0.926 * [progress]: [Phase 3 of 3] Extracting.
0.926 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (- x (fma 0.125 (/ 1 x) 0.5)))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.927 * * * [regime-changes]: Trying 1 branch expressions: (x)
0.927 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (- x (fma 0.125 (/ 1 x) 0.5)))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.944 * * * [regime]: Found split indices: #<option (#s(si 1 11) #s(si 0 255))>
0.945 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (- x (fma 0.125 (/ 1 x) 0.5)))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.963 * [regimes]: Found splitpoints: (#s(sp 1 x 83535.1482247475) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x) (- x (fma 0.125 (/ 1 x) 0.5)))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.964 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x 83535.1482247475) (sqrt (* (- x 1.0) x)) (- x (fma 0.125 (/ 1 x) 0.5)))
0.964 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h1) (sqrt (* (- h0 h2) h0)) (- h0 (fma h3 (/ 1 h0) h4)))
0.965 * * [simplify]: iteration  0 :  17  enodes  (cost  6 )
0.965 * * [simplify]: iteration  1 :  17  enodes  (cost  6 )
0.965 * [simplify]: Simplified to:
   (if (<= x 83535.1482247475) (sqrt (* (- x 1.0) x)) (- x (fma 0.125 (/ 1 x) 0.5)))
2.260 * [regime-testing]: Baseline error score: 0.4203635373892994
2.261 * [regime-testing]: Oracle error score: 0.0023752969121140144
2.262 * [regime-testing]: End program error score: 0.0025003125390673834