0.634 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.328 * * * [progress]: [2/2] Setting up program.
0.332 * [progress]: [Phase 2 of 3] Improving.
0.335 * [simplify]: Simplifying:
  (* (sqrt (- x 1.0)) (sqrt x))
0.336 * [simplify]: Sending expressions to egg_math:
 (* (sqrt (- h0 h1)) (sqrt h0))
0.338 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.339 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.340 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.342 * * [progress]: iteration 1 / 4
0.342 * * * [progress]: picking best candidate
0.344 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (- x 1.0)) (sqrt x)))>
0.344 * * * [progress]: localizing error
0.372 * * * [progress]: generating rewritten candidates
0.372 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.403 * * * [progress]: generating series expansions
0.404 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.408 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x))
0.408 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.409 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.409 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.409 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [taylor]: Taking taylor expansion of 1.0 in x
0.409 * [backup-simplify]: Simplify 1.0 into 1.0
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.411 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.411 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.411 * [backup-simplify]: Simplify (- 0) into 0
0.412 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.413 * [backup-simplify]: Simplify (sqrt 0) into 0
0.414 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.414 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.414 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.414 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [taylor]: Taking taylor expansion of 1.0 in x
0.414 * [backup-simplify]: Simplify 1.0 into 1.0
0.414 * [taylor]: Taking taylor expansion of x in x
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.415 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.415 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.416 * [backup-simplify]: Simplify (- 0) into 0
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.417 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.417 * [backup-simplify]: Simplify (sqrt 0) into 0
0.418 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.419 * [backup-simplify]: Simplify (- 0) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1
0.422 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.422 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [backup-simplify]: Simplify (- 0) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.426 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.427 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
0.428 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x))
0.428 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.428 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.428 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.428 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.428 * [taylor]: Taking taylor expansion of x in x
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (/ 1 1) into 1
0.428 * [taylor]: Taking taylor expansion of 1.0 in x
0.428 * [backup-simplify]: Simplify 1.0 into 1.0
0.428 * [taylor]: Taking taylor expansion of x in x
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (+ 1 0) into 1
0.429 * [backup-simplify]: Simplify (/ 1 1) into 1
0.429 * [backup-simplify]: Simplify (sqrt 1) into 1
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.431 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.432 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.433 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.433 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.433 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.433 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.433 * [taylor]: Taking taylor expansion of x in x
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (/ 1 1) into 1
0.433 * [taylor]: Taking taylor expansion of 1.0 in x
0.433 * [backup-simplify]: Simplify 1.0 into 1.0
0.433 * [taylor]: Taking taylor expansion of x in x
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (+ 1 0) into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [backup-simplify]: Simplify (sqrt 1) into 1
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.435 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.436 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.437 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify -0.5 into -0.5
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- 0) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
0.441 * [backup-simplify]: Simplify -0.125 into -0.125
0.441 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.441 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))
0.441 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0
0.441 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.441 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.441 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.441 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.441 * [taylor]: Taking taylor expansion of 1.0 in x
0.441 * [backup-simplify]: Simplify 1.0 into 1.0
0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.441 * [taylor]: Taking taylor expansion of x in x
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [backup-simplify]: Simplify (+ 0 1) into 1
0.442 * [backup-simplify]: Simplify (- 1) into -1
0.442 * [backup-simplify]: Simplify (sqrt 0) into 0
0.443 * [backup-simplify]: Simplify (- 1) into -1
0.443 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.443 * [taylor]: Taking taylor expansion of -1 in x
0.443 * [backup-simplify]: Simplify -1 into -1
0.443 * [taylor]: Taking taylor expansion of x in x
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (/ -1 1) into -1
0.444 * [backup-simplify]: Simplify (sqrt 0) into 0
0.445 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.445 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.445 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.445 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.445 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.445 * [taylor]: Taking taylor expansion of 1.0 in x
0.445 * [backup-simplify]: Simplify 1.0 into 1.0
0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.445 * [backup-simplify]: Simplify (+ 0 1) into 1
0.446 * [backup-simplify]: Simplify (- 1) into -1
0.446 * [backup-simplify]: Simplify (sqrt 0) into 0
0.446 * [backup-simplify]: Simplify (- 1) into -1
0.447 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.447 * [taylor]: Taking taylor expansion of -1 in x
0.447 * [backup-simplify]: Simplify -1 into -1
0.447 * [taylor]: Taking taylor expansion of x in x
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (/ -1 1) into -1
0.448 * [backup-simplify]: Simplify (sqrt 0) into 0
0.448 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.449 * [backup-simplify]: Simplify (* 0 0) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.452 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.459 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.461 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
0.461 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.464 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.468 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
0.469 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.478 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
0.478 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.479 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.479 * * * [progress]: simplifying candidates
0.480 * [simplify]: Simplifying:
  (* (- 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)))))
0.480 * [simplify]: Sending expressions to egg_math:
 (* (- 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 (+ h4 (* h3 (/ 1 h0))))
 (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2)))))
0.483 * * [simplify]: iteration  0 :  181  enodes  (cost  216 )
0.487 * * [simplify]: iteration  1 :  610  enodes  (cost  206 )
0.499 * * [simplify]: iteration  2 :  2471  enodes  (cost  201 )
0.552 * * [simplify]: iteration  3 :  5002  enodes  (cost  201 )
0.554 * * * [progress]: adding candidates to table
0.618 * * [progress]: iteration 2 / 4
0.618 * * * [progress]: picking best candidate
0.620 * * * * [pick]: Picked  #<alt (λ (x) (- x (+ 0.5 (* 0.125 (/ 1 x)))))>
0.620 * * * [progress]: localizing error
0.625 * * * [progress]: generating rewritten candidates
0.625 * * * [progress]: generating series expansions
0.625 * * * [progress]: simplifying candidates
0.625 * [simplify]: Simplifying:
  
0.625 * [simplify]: Sending expressions to egg_math:
 
0.627 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.627 * * * [progress]: adding candidates to table
0.627 * * [progress]: iteration 3 / 4
0.627 * * * [progress]: picking best candidate
0.629 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (* (- x 1.0) x)))>
0.629 * * * [progress]: localizing error
0.632 * * * [progress]: generating rewritten candidates
0.633 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.641 * * * [progress]: generating series expansions
0.641 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.641 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* (- x 1.0) x))
0.641 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.641 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.641 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.641 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.641 * [taylor]: Taking taylor expansion of x in x
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.641 * [taylor]: Taking taylor expansion of 1.0 in x
0.641 * [backup-simplify]: Simplify 1.0 into 1.0
0.641 * [taylor]: Taking taylor expansion of x in x
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.641 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.642 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.642 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.642 * [backup-simplify]: Simplify (- 0) into 0
0.643 * [backup-simplify]: Simplify (+ 1 0) into 1
0.644 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.644 * [backup-simplify]: Simplify (sqrt 0) into 0
0.645 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.645 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.645 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.645 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.645 * [taylor]: Taking taylor expansion of x in x
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [taylor]: Taking taylor expansion of 1.0 in x
0.645 * [backup-simplify]: Simplify 1.0 into 1.0
0.645 * [taylor]: Taking taylor expansion of x in x
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.646 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.647 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.647 * [backup-simplify]: Simplify (- 0) into 0
0.647 * [backup-simplify]: Simplify (+ 1 0) into 1
0.648 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.648 * [backup-simplify]: Simplify (sqrt 0) into 0
0.649 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.650 * [backup-simplify]: Simplify (- 0) into 0
0.650 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1
0.652 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.653 * [backup-simplify]: Simplify (- 0) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.654 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.656 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.656 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
0.657 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x))
0.657 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.657 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.657 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.657 * [taylor]: Taking taylor expansion of x in x
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (/ 1 1) into 1
0.657 * [taylor]: Taking taylor expansion of 1.0 in x
0.657 * [backup-simplify]: Simplify 1.0 into 1.0
0.657 * [taylor]: Taking taylor expansion of x in x
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (+ 1 0) into 1
0.658 * [backup-simplify]: Simplify (/ 1 1) into 1
0.658 * [backup-simplify]: Simplify (sqrt 1) into 1
0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.658 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.659 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.660 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.661 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.661 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.661 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.661 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.661 * [taylor]: Taking taylor expansion of (/ 1 x) 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
0.665 * [backup-simplify]: Simplify (/ 1 1) into 1
0.665 * [taylor]: Taking taylor expansion of 1.0 in x
0.665 * [backup-simplify]: Simplify 1.0 into 1.0
0.665 * [taylor]: Taking taylor expansion of x in x
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify 1 into 1
0.665 * [backup-simplify]: Simplify (+ 1 0) into 1
0.665 * [backup-simplify]: Simplify (/ 1 1) into 1
0.666 * [backup-simplify]: Simplify (sqrt 1) into 1
0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.667 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.668 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.669 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.669 * [backup-simplify]: Simplify 1 into 1
0.669 * [backup-simplify]: Simplify -0.5 into -0.5
0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (- 0) into 0
0.670 * [backup-simplify]: Simplify (+ 0 0) into 0
0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
0.673 * [backup-simplify]: Simplify -0.125 into -0.125
0.673 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.673 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ 1.0 (/ 1 x)) x))
0.673 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0
0.673 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.673 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.673 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.673 * [taylor]: Taking taylor expansion of 1.0 in x
0.673 * [backup-simplify]: Simplify 1.0 into 1.0
0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.673 * [taylor]: Taking taylor expansion of x in x
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [taylor]: Taking taylor expansion of x in x
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (+ 0 1) into 1
0.674 * [backup-simplify]: Simplify (/ 1 1) into 1
0.674 * [backup-simplify]: Simplify (sqrt 1) into 1
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.676 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.676 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.676 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.676 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.676 * [taylor]: Taking taylor expansion of 1.0 in x
0.676 * [backup-simplify]: Simplify 1.0 into 1.0
0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.676 * [taylor]: Taking taylor expansion of x in x
0.676 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (/ 1 1) into 1
0.677 * [taylor]: Taking taylor expansion of x in x
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (+ 0 1) into 1
0.677 * [backup-simplify]: Simplify (/ 1 1) into 1
0.677 * [backup-simplify]: Simplify (sqrt 1) into 1
0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.679 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.680 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.680 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify 0.5 into 0.5
0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125
0.683 * [backup-simplify]: Simplify -0.125 into -0.125
0.683 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x)
0.683 * * * [progress]: simplifying candidates
0.684 * [simplify]: Simplifying:
  (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)))
  (- (+ (* +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)
0.684 * [simplify]: Sending expressions to egg_math:
 (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)))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0))))))
 (- h0 (+ h4 (* h3 (/ 1 h0))))
 (- (+ h4 (* h3 (/ 1 h0))) h0)
0.686 * * [simplify]: iteration  0 :  111  enodes  (cost  74 )
0.688 * * [simplify]: iteration  1 :  281  enodes  (cost  69 )
0.694 * * [simplify]: iteration  2 :  983  enodes  (cost  68 )
0.715 * * [simplify]: iteration  3 :  3763  enodes  (cost  66 )
0.834 * * [simplify]: iteration  4 :  5001  enodes  (cost  66 )
0.835 * * * [progress]: adding candidates to table