0.826 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.180 * * * [progress]: [2/2] Setting up program.
0.184 * [progress]: [Phase 2 of 3] Improving.
0.186 * [simplify]: Simplifying:
  (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
0.187 * [simplify]: Sending expressions to egg_math:
 (* 2.0 (atan (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))))
0.190 * * [progress]: iteration 1 / 4
0.190 * * * [progress]: picking best candidate
0.193 * * * * [pick]: Picked  #<alt (λ (x) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))>
0.193 * * * [progress]: localizing error
0.206 * * * [progress]: generating rewritten candidates
0.206 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1)
0.295 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1)
0.339 * * * [progress]: generating series expansions
0.339 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1)
0.350 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0))
0.350 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0
0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x
0.351 * [taylor]: Taking taylor expansion of (- 1.0 x) in x
0.351 * [taylor]: Taking taylor expansion of 1.0 in x
0.351 * [backup-simplify]: Simplify 1.0 into 1.0
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [taylor]: Taking taylor expansion of (+ x 1.0) in x
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [taylor]: Taking taylor expansion of 1.0 in x
0.352 * [backup-simplify]: Simplify 1.0 into 1.0
0.353 * [backup-simplify]: Simplify (- 0) into 0
0.354 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.354 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.355 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x
0.355 * [taylor]: Taking taylor expansion of (- 1.0 x) in x
0.355 * [taylor]: Taking taylor expansion of 1.0 in x
0.355 * [backup-simplify]: Simplify 1.0 into 1.0
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [taylor]: Taking taylor expansion of (+ x 1.0) in x
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [taylor]: Taking taylor expansion of 1.0 in x
0.355 * [backup-simplify]: Simplify 1.0 into 1.0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.356 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.357 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.357 * [backup-simplify]: Simplify 1.0 into 1.0
0.358 * [backup-simplify]: Simplify (- 1) into -1
0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.359 * [backup-simplify]: Simplify (+ 1 0) into 1
0.362 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0)
0.362 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.363 * [backup-simplify]: Simplify (- 0) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0
0.369 * [backup-simplify]: Simplify 2.0 into 2.0
0.370 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x))
0.371 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))
0.371 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0
0.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x
0.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.371 * [taylor]: Taking taylor expansion of 1.0 in x
0.371 * [backup-simplify]: Simplify 1.0 into 1.0
0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.373 * [taylor]: Taking taylor expansion of x in x
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of 1.0 in x
0.373 * [backup-simplify]: Simplify 1.0 into 1.0
0.374 * [backup-simplify]: Simplify (- 1) into -1
0.374 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.374 * [backup-simplify]: Simplify (+ 1 0) into 1
0.375 * [backup-simplify]: Simplify (/ -1 1) into -1
0.375 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x
0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.375 * [taylor]: Taking taylor expansion of 1.0 in x
0.375 * [backup-simplify]: Simplify 1.0 into 1.0
0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.375 * [taylor]: Taking taylor expansion of x in x
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.376 * [taylor]: Taking taylor expansion of x in x
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [taylor]: Taking taylor expansion of 1.0 in x
0.376 * [backup-simplify]: Simplify 1.0 into 1.0
0.376 * [backup-simplify]: Simplify (- 1) into -1
0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.377 * [backup-simplify]: Simplify (+ 1 0) into 1
0.378 * [backup-simplify]: Simplify (/ -1 1) into -1
0.378 * [backup-simplify]: Simplify -1 into -1
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.383 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- 0) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0)
0.391 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.392 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2)))))
0.392 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))
0.392 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0
0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x
0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.392 * [taylor]: Taking taylor expansion of x in x
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
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 (- 1.0 (/ 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
0.394 * [backup-simplify]: Simplify (+ 1 0) into 1
0.394 * [backup-simplify]: Simplify (- 1) into -1
0.395 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.395 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x
0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.395 * [taylor]: Taking taylor expansion of x in x
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [taylor]: Taking taylor expansion of 1.0 in x
0.396 * [backup-simplify]: Simplify 1.0 into 1.0
0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.396 * [taylor]: Taking taylor expansion of 1.0 in x
0.396 * [backup-simplify]: Simplify 1.0 into 1.0
0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x
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 (+ 1 0) into 1
0.397 * [backup-simplify]: Simplify (- 1) into -1
0.397 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.398 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.398 * [backup-simplify]: Simplify -1 into -1
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.401 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.403 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0)
0.404 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (- 0) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0)
0.414 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.415 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2)))))
0.415 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1)
0.415 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0)))
0.415 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0
0.415 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x
0.415 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x
0.415 * [taylor]: Taking taylor expansion of (- 1.0 x) in x
0.415 * [taylor]: Taking taylor expansion of 1.0 in x
0.416 * [backup-simplify]: Simplify 1.0 into 1.0
0.416 * [taylor]: Taking taylor expansion of x in x
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.416 * [taylor]: Taking taylor expansion of (+ x 1.0) in x
0.416 * [taylor]: Taking taylor expansion of x in x
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.416 * [taylor]: Taking taylor expansion of 1.0 in x
0.416 * [backup-simplify]: Simplify 1.0 into 1.0
0.416 * [backup-simplify]: Simplify (- 0) into 0
0.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.417 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.417 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.418 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.418 * [backup-simplify]: Simplify (- 1) into -1
0.419 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.419 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0)
0.424 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0))
0.424 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x
0.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x
0.424 * [taylor]: Taking taylor expansion of (- 1.0 x) in x
0.424 * [taylor]: Taking taylor expansion of 1.0 in x
0.424 * [backup-simplify]: Simplify 1.0 into 1.0
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [taylor]: Taking taylor expansion of (+ x 1.0) in x
0.425 * [taylor]: Taking taylor expansion of x in x
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [taylor]: Taking taylor expansion of 1.0 in x
0.425 * [backup-simplify]: Simplify 1.0 into 1.0
0.425 * [backup-simplify]: Simplify (- 0) into 0
0.425 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.426 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.427 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.427 * [backup-simplify]: Simplify (- 1) into -1
0.427 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.428 * [backup-simplify]: Simplify (+ 1 0) into 1
0.431 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0)
0.444 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0))
0.444 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.445 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0))
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0
0.458 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))
0.465 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))
0.474 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0)))))
0.474 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))
0.474 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0
0.474 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x
0.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x
0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.475 * [taylor]: Taking taylor expansion of 1.0 in x
0.475 * [backup-simplify]: Simplify 1.0 into 1.0
0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (/ 1 1) into 1
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of 1.0 in x
0.476 * [backup-simplify]: Simplify 1.0 into 1.0
0.476 * [backup-simplify]: Simplify (- 1) into -1
0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (/ -1 1) into -1
0.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.485 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0
0.486 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1))
0.486 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x
0.486 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x
0.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.486 * [taylor]: Taking taylor expansion of 1.0 in x
0.486 * [backup-simplify]: Simplify 1.0 into 1.0
0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.486 * [taylor]: Taking taylor expansion of x in x
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ 1 1) into 1
0.487 * [taylor]: Taking taylor expansion of 1.0 in x
0.487 * [backup-simplify]: Simplify 1.0 into 1.0
0.487 * [backup-simplify]: Simplify (- 1) into -1
0.488 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.488 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (/ -1 1) into -1
0.489 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (- 0) into 0
0.490 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.492 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0
0.493 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1))
0.494 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.494 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1))
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- 0) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0)
0.503 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))
0.508 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))
0.513 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
0.513 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))
0.513 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x
0.514 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [taylor]: Taking taylor expansion of 1.0 in x
0.514 * [backup-simplify]: Simplify 1.0 into 1.0
0.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.514 * [taylor]: Taking taylor expansion of 1.0 in x
0.514 * [backup-simplify]: Simplify 1.0 into 1.0
0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [backup-simplify]: Simplify (+ 1 0) into 1
0.516 * [backup-simplify]: Simplify (- 1) into -1
0.516 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.517 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.517 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.522 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0)
0.524 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1))
0.525 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x
0.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x
0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x
0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.525 * [taylor]: Taking taylor expansion of x in x
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [taylor]: Taking taylor expansion of 1.0 in x
0.525 * [backup-simplify]: Simplify 1.0 into 1.0
0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x
0.525 * [taylor]: Taking taylor expansion of 1.0 in x
0.525 * [backup-simplify]: Simplify 1.0 into 1.0
0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.525 * [taylor]: Taking taylor expansion of x in x
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 1 0) into 1
0.527 * [backup-simplify]: Simplify (- 1) into -1
0.527 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.528 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.528 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.534 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0)
0.536 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1))
0.537 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.538 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1))
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0)
0.552 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))
0.560 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))
0.569 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
0.569 * * * [progress]: simplifying candidates
0.571 * [simplify]: Simplifying:
  (- (log (- 1.0 x)) (log (+ 1.0 x)))
  (log (/ (- 1.0 x) (+ 1.0 x)))
  (exp (/ (- 1.0 x) (+ 1.0 x)))
  (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)))
  (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
  (cbrt (/ (- 1.0 x) (+ 1.0 x)))
  (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (- (- 1.0 x))
  (- (+ 1.0 x))
  (/ 1.0 (+ 1.0 x))
  (/ x (+ 1.0 x))
  (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))
  (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))
  (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
  (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)
  (/ (cbrt (- 1.0 x)) (+ 1.0 x))
  (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)
  (/ (cbrt (- 1.0 x)) (+ 1.0 x))
  (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
  (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
  (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
  (/ (sqrt (- 1.0 x)) 1)
  (/ (sqrt (- 1.0 x)) (+ 1.0 x))
  (/ (sqrt (- 1.0 x)) 1)
  (/ (sqrt (- 1.0 x)) (+ 1.0 x))
  (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (- 1.0 x) (cbrt (+ 1.0 x)))
  (/ 1 (sqrt (+ 1.0 x)))
  (/ (- 1.0 x) (sqrt (+ 1.0 x)))
  (/ 1 1)
  (/ (- 1.0 x) (+ 1.0 x))
  (/ 1 1)
  (/ (- 1.0 x) (+ 1.0 x))
  (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))
  (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))
  (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))
  (/ (+ (sqrt 1.0) (sqrt x)) 1)
  (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))
  (/ (+ (sqrt 1.0) (sqrt x)) 1)
  (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))
  (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (- 1.0 x) (cbrt (+ 1.0 x)))
  (/ 1 (sqrt (+ 1.0 x)))
  (/ (- 1.0 x) (sqrt (+ 1.0 x)))
  (/ 1 1)
  (/ (- 1.0 x) (+ 1.0 x))
  (/ 1 1)
  (/ (- 1.0 x) (+ 1.0 x))
  (/ 1 (+ 1.0 x))
  (/ (+ 1.0 x) (- 1.0 x))
  (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
  (/ (- 1.0 x) (sqrt (+ 1.0 x)))
  (/ (- 1.0 x) 1)
  (/ (- 1.0 x) 1)
  (/ (+ 1.0 x) (cbrt (- 1.0 x)))
  (/ (+ 1.0 x) (sqrt (- 1.0 x)))
  (/ (+ 1.0 x) (- 1.0 x))
  (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x)))
  (/ (+ 1.0 x) (- 1.0 x))
  (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
  (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
  (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
  (* (+ 1.0 x) (+ 1.0 x))
  (log (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (exp (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
  (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))))
  (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x))))
  (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))
  (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))))
  (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))))
  (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))
  (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1))
  (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))
  (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1))
  (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))
  (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))
  (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))))
  (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
  (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
  (sqrt (/ (sqrt (- 1.0 x)) 1))
  (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x)))
  (sqrt (/ (sqrt (- 1.0 x)) 1))
  (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x)))
  (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))
  (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x))))
  (sqrt (/ 1 (sqrt (+ 1.0 x))))
  (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))
  (sqrt (/ 1 1))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (/ 1 1))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))
  (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))))
  (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))))
  (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))))
  (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1))
  (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)))
  (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1))
  (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)))
  (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))
  (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x))))
  (sqrt (/ 1 (sqrt (+ 1.0 x))))
  (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))
  (sqrt (/ 1 1))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (/ 1 1))
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt 1)
  (sqrt (/ (- 1.0 x) (+ 1.0 x)))
  (sqrt (- 1.0 x))
  (sqrt (/ 1 (+ 1.0 x)))
  (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))))
  (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
  (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
  (sqrt (- 1.0 x))
  (sqrt (- 1.0 x))
  (sqrt (+ 1.0 x))
  (/ 1 2)
  (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))
  (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x))
  (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2)))))
  (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2)))))
  (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0)))))
  (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
  (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
0.578 * [simplify]: Sending expressions to egg_math:
 (- (log (- 1.0 h0)) (log (+ 1.0 h0)))
 (log (/ (- 1.0 h0) (+ 1.0 h0)))
 (exp (/ (- 1.0 h0) (+ 1.0 h0)))
 (/ (* (* (- 1.0 h0) (- 1.0 h0)) (- 1.0 h0)) (* (* (+ 1.0 h0) (+ 1.0 h0)) (+ 1.0 h0)))
 (* (cbrt (/ (- 1.0 h0) (+ 1.0 h0))) (cbrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (cbrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (* (* (/ (- 1.0 h0) (+ 1.0 h0)) (/ (- 1.0 h0) (+ 1.0 h0))) (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (- (- 1.0 h0))
 (- (+ 1.0 h0))
 (/ 1.0 (+ 1.0 h0))
 (/ h0 (+ 1.0 h0))
 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (cbrt (- 1.0 h0)) (cbrt (+ 1.0 h0)))
 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt (+ 1.0 h0)))
 (/ (cbrt (- 1.0 h0)) (sqrt (+ 1.0 h0)))
 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)
 (/ (cbrt (- 1.0 h0)) (+ 1.0 h0))
 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)
 (/ (cbrt (- 1.0 h0)) (+ 1.0 h0))
 (/ (sqrt (- 1.0 h0)) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (sqrt (- 1.0 h0)) (cbrt (+ 1.0 h0)))
 (/ (sqrt (- 1.0 h0)) (sqrt (+ 1.0 h0)))
 (/ (sqrt (- 1.0 h0)) (sqrt (+ 1.0 h0)))
 (/ (sqrt (- 1.0 h0)) 1)
 (/ (sqrt (- 1.0 h0)) (+ 1.0 h0))
 (/ (sqrt (- 1.0 h0)) 1)
 (/ (sqrt (- 1.0 h0)) (+ 1.0 h0))
 (/ 1 (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (- 1.0 h0) (cbrt (+ 1.0 h0)))
 (/ 1 (sqrt (+ 1.0 h0)))
 (/ (- 1.0 h0) (sqrt (+ 1.0 h0)))
 (/ 1 1)
 (/ (- 1.0 h0) (+ 1.0 h0))
 (/ 1 1)
 (/ (- 1.0 h0) (+ 1.0 h0))
 (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (- (sqrt 1.0) (sqrt h0)) (cbrt (+ 1.0 h0)))
 (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt (+ 1.0 h0)))
 (/ (- (sqrt 1.0) (sqrt h0)) (sqrt (+ 1.0 h0)))
 (/ (+ (sqrt 1.0) (sqrt h0)) 1)
 (/ (- (sqrt 1.0) (sqrt h0)) (+ 1.0 h0))
 (/ (+ (sqrt 1.0) (sqrt h0)) 1)
 (/ (- (sqrt 1.0) (sqrt h0)) (+ 1.0 h0))
 (/ 1 (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (- 1.0 h0) (cbrt (+ 1.0 h0)))
 (/ 1 (sqrt (+ 1.0 h0)))
 (/ (- 1.0 h0) (sqrt (+ 1.0 h0)))
 (/ 1 1)
 (/ (- 1.0 h0) (+ 1.0 h0))
 (/ 1 1)
 (/ (- 1.0 h0) (+ 1.0 h0))
 (/ 1 (+ 1.0 h0))
 (/ (+ 1.0 h0) (- 1.0 h0))
 (/ (- 1.0 h0) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0))))
 (/ (- 1.0 h0) (sqrt (+ 1.0 h0)))
 (/ (- 1.0 h0) 1)
 (/ (- 1.0 h0) 1)
 (/ (+ 1.0 h0) (cbrt (- 1.0 h0)))
 (/ (+ 1.0 h0) (sqrt (- 1.0 h0)))
 (/ (+ 1.0 h0) (- 1.0 h0))
 (/ (+ 1.0 h0) (- (sqrt 1.0) (sqrt h0)))
 (/ (+ 1.0 h0) (- 1.0 h0))
 (/ (- 1.0 h0) (+ (pow 1.0 3) (pow h0 3)))
 (/ (- 1.0 h0) (- (* 1.0 1.0) (* h0 h0)))
 (* (+ 1.0 h0) (+ (* 1.0 1.0) (+ (* h0 h0) (* 1.0 h0))))
 (* (+ 1.0 h0) (+ 1.0 h0))
 (log (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (exp (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (* (cbrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))) (cbrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))))
 (cbrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (* (* (sqrt (/ (- 1.0 h0) (+ 1.0 h0))) (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))) (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (sqrt (* (cbrt (/ (- 1.0 h0) (+ 1.0 h0))) (cbrt (/ (- 1.0 h0) (+ 1.0 h0)))))
 (sqrt (cbrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (sqrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (sqrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (sqrt (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0)))))
 (sqrt (/ (cbrt (- 1.0 h0)) (cbrt (+ 1.0 h0))))
 (sqrt (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt (+ 1.0 h0))))
 (sqrt (/ (cbrt (- 1.0 h0)) (sqrt (+ 1.0 h0))))
 (sqrt (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1))
 (sqrt (/ (cbrt (- 1.0 h0)) (+ 1.0 h0)))
 (sqrt (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1))
 (sqrt (/ (cbrt (- 1.0 h0)) (+ 1.0 h0)))
 (sqrt (/ (sqrt (- 1.0 h0)) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0)))))
 (sqrt (/ (sqrt (- 1.0 h0)) (cbrt (+ 1.0 h0))))
 (sqrt (/ (sqrt (- 1.0 h0)) (sqrt (+ 1.0 h0))))
 (sqrt (/ (sqrt (- 1.0 h0)) (sqrt (+ 1.0 h0))))
 (sqrt (/ (sqrt (- 1.0 h0)) 1))
 (sqrt (/ (sqrt (- 1.0 h0)) (+ 1.0 h0)))
 (sqrt (/ (sqrt (- 1.0 h0)) 1))
 (sqrt (/ (sqrt (- 1.0 h0)) (+ 1.0 h0)))
 (sqrt (/ 1 (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0)))))
 (sqrt (/ (- 1.0 h0) (cbrt (+ 1.0 h0))))
 (sqrt (/ 1 (sqrt (+ 1.0 h0))))
 (sqrt (/ (- 1.0 h0) (sqrt (+ 1.0 h0))))
 (sqrt (/ 1 1))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0)))))
 (sqrt (/ (- (sqrt 1.0) (sqrt h0)) (cbrt (+ 1.0 h0))))
 (sqrt (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt (+ 1.0 h0))))
 (sqrt (/ (- (sqrt 1.0) (sqrt h0)) (sqrt (+ 1.0 h0))))
 (sqrt (/ (+ (sqrt 1.0) (sqrt h0)) 1))
 (sqrt (/ (- (sqrt 1.0) (sqrt h0)) (+ 1.0 h0)))
 (sqrt (/ (+ (sqrt 1.0) (sqrt h0)) 1))
 (sqrt (/ (- (sqrt 1.0) (sqrt h0)) (+ 1.0 h0)))
 (sqrt (/ 1 (* (cbrt (+ 1.0 h0)) (cbrt (+ 1.0 h0)))))
 (sqrt (/ (- 1.0 h0) (cbrt (+ 1.0 h0))))
 (sqrt (/ 1 (sqrt (+ 1.0 h0))))
 (sqrt (/ (- 1.0 h0) (sqrt (+ 1.0 h0))))
 (sqrt (/ 1 1))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt 1)
 (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))
 (sqrt (- 1.0 h0))
 (sqrt (/ 1 (+ 1.0 h0)))
 (sqrt (/ (- 1.0 h0) (+ (pow 1.0 3) (pow h0 3))))
 (sqrt (+ (* 1.0 1.0) (- (* h0 h0) (* 1.0 h0))))
 (sqrt (/ (- 1.0 h0) (- (* 1.0 1.0) (* h0 h0))))
 (sqrt (- 1.0 h0))
 (sqrt (- 1.0 h0))
 (sqrt (+ 1.0 h0))
 (/ 1 2)
 (sqrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (sqrt (sqrt (/ (- 1.0 h0) (+ 1.0 h0))))
 (- (+ (* 2.0 (pow h0 2)) 1.0) (* 2.0 h0))
 (- (* 2.0 (/ 1 h0)) (+ 1 (* 2.0 (/ 1 (pow h0 2)))))
 (- (* 2.0 (/ 1 h0)) (+ 1 (* 2.0 (/ 1 (pow h0 2)))))
 (- (+ (sqrt 1.0) (* 1.0 (/ (pow h0 2) (sqrt 1.0)))) (+ (* (/ 1.0 2.0) (/ (pow h0 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ h0 (sqrt 1.0)))))
 (- (+ (* 1.0 (/ 1 (* h0 (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow h0 2) (sqrt -1)))) (* (/ 1.0 2.0) (/ 1 (* (pow h0 2) (pow (sqrt -1) 3))))))
 (- (+ (* 1.0 (/ 1 (* h0 (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow h0 2) (sqrt -1)))) (* (/ 1.0 2.0) (/ 1 (* (pow h0 2) (pow (sqrt -1) 3))))))
0.668 * * * [progress]: adding candidates to table
1.003 * [progress]: [Phase 3 of 3] Extracting.
1.012 * [simplify]: Simplifying:
  (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
1.012 * [simplify]: Sending expressions to egg_math:
 (* 2.0 (atan (sqrt (/ (- 1.0 h0) (+ 1.0 h0)))))
3.268 * [regime-testing]: Baseline error score: 0.014626828353544194
3.272 * [regime-testing]: Oracle error score: 0.014626828353544194
3.273 * [regime-testing]: End program error score: 0.014626828353544194