0.538 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.176 * * * [progress]: [2/2] Setting up program.
0.181 * [progress]: [Phase 2 of 3] Improving.
0.184 * [simplify]: Simplifying:
  (* (sqrt (- x 1.0)) (sqrt x))
0.185 * [simplify]: Sending expressions to egg_math:
 (* (sqrt (- h0 h1)) (sqrt h0))
0.189 * * [progress]: iteration 1 / 4
0.189 * * * [progress]: picking best candidate
0.250 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (- x 1.0)) (sqrt x)))>
0.250 * * * [progress]: localizing error
0.270 * * * [progress]: generating rewritten candidates
0.270 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.320 * * * [progress]: generating series expansions
0.321 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.325 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x))
0.325 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.325 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.325 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.326 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.326 * [taylor]: Taking taylor expansion of x in x
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of 1.0 in x
0.326 * [backup-simplify]: Simplify 1.0 into 1.0
0.326 * [taylor]: Taking taylor expansion of x in x
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.327 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.328 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ 1 0) into 1
0.329 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.330 * [backup-simplify]: Simplify (sqrt 0) into 0
0.331 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.331 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.331 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.331 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [taylor]: Taking taylor expansion of 1.0 in x
0.331 * [backup-simplify]: Simplify 1.0 into 1.0
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.332 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.332 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.332 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.334 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.334 * [backup-simplify]: Simplify (sqrt 0) into 0
0.335 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.336 * [backup-simplify]: Simplify (- 0) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1
0.340 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.346 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.348 * [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))))))
0.348 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x))
0.348 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.348 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.348 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of 1.0 in x
0.349 * [backup-simplify]: Simplify 1.0 into 1.0
0.349 * [taylor]: Taking taylor expansion of x in x
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (+ 1 0) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [backup-simplify]: Simplify (sqrt 1) into 1
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.353 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.356 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.358 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.358 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.358 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.358 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of 1.0 in x
0.358 * [backup-simplify]: Simplify 1.0 into 1.0
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (+ 1 0) into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [backup-simplify]: Simplify (sqrt 1) into 1
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.375 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.377 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.379 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify -0.5 into -0.5
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (- 0) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
0.385 * [backup-simplify]: Simplify -0.125 into -0.125
0.386 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.386 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))
0.386 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0
0.386 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.386 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.386 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.386 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.386 * [taylor]: Taking taylor expansion of 1.0 in x
0.386 * [backup-simplify]: Simplify 1.0 into 1.0
0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.386 * [taylor]: Taking taylor expansion of x in x
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [backup-simplify]: Simplify (+ 0 1) into 1
0.388 * [backup-simplify]: Simplify (- 1) into -1
0.388 * [backup-simplify]: Simplify (sqrt 0) into 0
0.388 * [backup-simplify]: Simplify (- 1) into -1
0.390 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.390 * [taylor]: Taking taylor expansion of -1 in x
0.390 * [backup-simplify]: Simplify -1 into -1
0.390 * [taylor]: Taking taylor expansion of x in x
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (/ -1 1) into -1
0.391 * [backup-simplify]: Simplify (sqrt 0) into 0
0.392 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.392 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.392 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.392 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.392 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.393 * [taylor]: Taking taylor expansion of 1.0 in x
0.393 * [backup-simplify]: Simplify 1.0 into 1.0
0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [backup-simplify]: Simplify (+ 0 1) into 1
0.394 * [backup-simplify]: Simplify (- 1) into -1
0.394 * [backup-simplify]: Simplify (sqrt 0) into 0
0.395 * [backup-simplify]: Simplify (- 1) into -1
0.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.396 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.396 * [taylor]: Taking taylor expansion of -1 in x
0.396 * [backup-simplify]: Simplify -1 into -1
0.396 * [taylor]: Taking taylor expansion of x in x
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ -1 1) into -1
0.397 * [backup-simplify]: Simplify (sqrt 0) into 0
0.398 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.399 * [backup-simplify]: Simplify (* 0 0) into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.405 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.408 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.409 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
0.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (- 0) into 0
0.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.417 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
0.418 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (- 0) into 0
0.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.428 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
0.428 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.429 * [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)))))
0.429 * * * [progress]: simplifying candidates
0.430 * [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)))))
0.430 * [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)))))
0.528 * * * [progress]: adding candidates to table
0.630 * * [progress]: iteration 2 / 4
0.630 * * * [progress]: picking best candidate
0.635 * * * * [pick]: Picked  #<alt (λ (x) (- x (+ 0.5 (* 0.125 (/ 1 x)))))>
0.635 * * * [progress]: localizing error
0.643 * * * [progress]: generating rewritten candidates
0.643 * * * [progress]: generating series expansions
0.643 * * * [progress]: simplifying candidates
0.643 * [simplify]: Simplifying:
  
0.643 * [simplify]: Sending expressions to egg_math:
 
0.644 * * * [progress]: adding candidates to table
0.644 * * [progress]: iteration 3 / 4
0.644 * * * [progress]: picking best candidate
0.646 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (* (- x 1.0) x)))>
0.646 * * * [progress]: localizing error
0.650 * * * [progress]: generating rewritten candidates
0.650 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.665 * * * [progress]: generating series expansions
0.665 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.665 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* (- x 1.0) x))
0.665 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.665 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.665 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.665 * [taylor]: Taking taylor expansion of (- x 1.0) in x
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 * [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
0.666 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.666 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.666 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.667 * [backup-simplify]: Simplify (- 0) into 0
0.667 * [backup-simplify]: Simplify (+ 1 0) into 1
0.668 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.669 * [backup-simplify]: Simplify (sqrt 0) into 0
0.670 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.670 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.670 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.670 * [taylor]: Taking taylor expansion of (- x 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 1.0 in x
0.670 * [backup-simplify]: Simplify 1.0 into 1.0
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 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.671 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.671 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.671 * [backup-simplify]: Simplify (- 0) into 0
0.672 * [backup-simplify]: Simplify (+ 1 0) into 1
0.673 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.673 * [backup-simplify]: Simplify (sqrt 0) into 0
0.674 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.674 * [backup-simplify]: Simplify (- 0) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1
0.678 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.678 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.678 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.680 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.682 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.683 * [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))))))
0.683 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x))
0.683 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.683 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.683 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.683 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.683 * [taylor]: Taking taylor expansion of x in x
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.683 * [taylor]: Taking taylor expansion of 1.0 in x
0.683 * [backup-simplify]: Simplify 1.0 into 1.0
0.683 * [taylor]: Taking taylor expansion of x in x
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (+ 1 0) into 1
0.684 * [backup-simplify]: Simplify (/ 1 1) into 1
0.684 * [backup-simplify]: Simplify (sqrt 1) into 1
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.685 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.687 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.688 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.688 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.688 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.688 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.688 * [taylor]: Taking taylor expansion of x in x
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify (/ 1 1) into 1
0.688 * [taylor]: Taking taylor expansion of 1.0 in x
0.688 * [backup-simplify]: Simplify 1.0 into 1.0
0.688 * [taylor]: Taking taylor expansion of x in x
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (+ 1 0) into 1
0.689 * [backup-simplify]: Simplify (/ 1 1) into 1
0.689 * [backup-simplify]: Simplify (sqrt 1) into 1
0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.690 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.690 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.692 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.693 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.693 * [backup-simplify]: Simplify 1 into 1
0.693 * [backup-simplify]: Simplify -0.5 into -0.5
0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify (- 0) into 0
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
0.696 * [backup-simplify]: Simplify -0.125 into -0.125
0.696 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.697 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ 1.0 (/ 1 x)) x))
0.697 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0
0.697 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.697 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.697 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.697 * [taylor]: Taking taylor expansion of 1.0 in x
0.697 * [backup-simplify]: Simplify 1.0 into 1.0
0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.697 * [taylor]: Taking taylor expansion of x in x
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (/ 1 1) into 1
0.697 * [taylor]: Taking taylor expansion of x in x
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (+ 0 1) into 1
0.697 * [backup-simplify]: Simplify (/ 1 1) into 1
0.698 * [backup-simplify]: Simplify (sqrt 1) into 1
0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.699 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.700 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.702 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.702 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x
0.702 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x
0.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.702 * [taylor]: Taking taylor expansion of 1.0 in x
0.702 * [backup-simplify]: Simplify 1.0 into 1.0
0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.702 * [taylor]: Taking taylor expansion of x in x
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [backup-simplify]: Simplify (/ 1 1) into 1
0.702 * [taylor]: Taking taylor expansion of x in x
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify (+ 0 1) into 1
0.703 * [backup-simplify]: Simplify (/ 1 1) into 1
0.703 * [backup-simplify]: Simplify (sqrt 1) into 1
0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.704 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.706 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.707 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.707 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify 0.5 into 0.5
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125
0.712 * [backup-simplify]: Simplify -0.125 into -0.125
0.713 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x)
0.713 * * * [progress]: simplifying candidates
0.713 * [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)
0.713 * [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)
0.774 * * * [progress]: adding candidates to table
0.829 * [progress]: [Phase 3 of 3] Extracting.
0.830 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (- x (+ 0.5 (* 0.125 (/ 1 x)))))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.831 * * * [regime-changes]: Trying 1 branch expressions: (x)
0.832 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (- x (+ 0.5 (* 0.125 (/ 1 x)))))> #<alt (λ (x) (sqrt (* (- x 1.0) x)))>)
0.853 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
0.854 * [simplify]: Simplifying:
  (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.854 * [simplify]: Sending expressions to egg_math:
 (- h0 (+ h2 (* h1 (/ 1 h0))))
4.543 * [regime-testing]: Baseline error score: 0.3901134295685514
4.546 * [regime-testing]: Oracle error score: 0.0026253281660207524
4.550 * [regime-testing]: End program error score: 0.3901134295685473