1.365 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (sqrt (- 1.0 (* x x)))
0.017 * [simplify]: Sending expressions to egg_math:
 (sqrt (- h1 (* h0 h0)))
0.019 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.020 * * [simplify]: iteration  1 :  11  enodes  (cost  3 )
0.022 * * [simplify]: iteration  2 :  13  enodes  (cost  3 )
0.023 * * [simplify]: iteration  3 :  13  enodes  (cost  3 )
0.023 * * [progress]: iteration 1 / 4
0.023 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (- 1.0 (* x x))))>
0.024 * * * [progress]: localizing error
0.028 * * * [progress]: generating rewritten candidates
0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.036 * * * [progress]: generating series expansions
0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.036 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2)))
0.036 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0
0.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x
0.036 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x
0.036 * [taylor]: Taking taylor expansion of 1.0 in x
0.036 * [backup-simplify]: Simplify 1.0 into 1.0
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.036 * [taylor]: Taking taylor expansion of x in x
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify 1 into 1
0.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.037 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.037 * [backup-simplify]: Simplify (+ 0 0) into 0
0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x
0.038 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x
0.038 * [taylor]: Taking taylor expansion of 1.0 in x
0.038 * [backup-simplify]: Simplify 1.0 into 1.0
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 1 into 1
0.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.038 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.038 * [backup-simplify]: Simplify (+ 0 0) into 0
0.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.039 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify (* 1 1) into 1
0.039 * [backup-simplify]: Simplify (- 1) into -1
0.040 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.042 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0))
0.042 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0))
0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.043 * [backup-simplify]: Simplify (- 0) into 0
0.043 * [backup-simplify]: Simplify (+ 0 0) into 0
0.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.045 * [backup-simplify]: Simplify (- 0) into 0
0.045 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3))
0.049 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3))
0.051 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))
0.051 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2))))
0.051 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0
0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x
0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.051 * [taylor]: Taking taylor expansion of 1.0 in x
0.051 * [backup-simplify]: Simplify 1.0 into 1.0
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.051 * [taylor]: Taking taylor expansion of x in x
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 1 into 1
0.051 * [backup-simplify]: Simplify (* 1 1) into 1
0.052 * [backup-simplify]: Simplify (/ 1 1) into 1
0.052 * [backup-simplify]: Simplify (- 1) into -1
0.052 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.052 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0
0.058 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x
0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.058 * [taylor]: Taking taylor expansion of 1.0 in x
0.058 * [backup-simplify]: Simplify 1.0 into 1.0
0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (/ 1 1) into 1
0.059 * [backup-simplify]: Simplify (- 1) into -1
0.059 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.059 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0
0.061 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.064 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1))
0.065 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1))
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- 0) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3))
0.073 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3))
0.075 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
0.075 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2))))
0.075 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x
0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.075 * [taylor]: Taking taylor expansion of 1.0 in x
0.075 * [backup-simplify]: Simplify 1.0 into 1.0
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [backup-simplify]: Simplify (- 1) into -1
0.076 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.076 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0
0.078 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x
0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.078 * [taylor]: Taking taylor expansion of 1.0 in x
0.078 * [backup-simplify]: Simplify 1.0 into 1.0
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [backup-simplify]: Simplify (- 1) into -1
0.079 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.079 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0
0.081 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1)
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.085 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1))
0.085 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1))
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (- 0) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3))
0.093 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3))
0.095 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))))
0.095 * * * [progress]: simplifying candidates
0.096 * [simplify]: Simplifying:
  (expm1 (sqrt (- 1.0 (* x x))))
  (log1p (sqrt (- 1.0 (* x x))))
  (log (sqrt (- 1.0 (* x x))))
  (exp (sqrt (- 1.0 (* x x))))
  (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))
  (cbrt (sqrt (- 1.0 (* x x))))
  (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x))))
  (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))
  (sqrt (cbrt (- 1.0 (* x x))))
  (sqrt (sqrt (- 1.0 (* x x))))
  (sqrt (sqrt (- 1.0 (* x x))))
  (sqrt 1)
  (sqrt (- 1.0 (* x x)))
  (sqrt (+ (sqrt 1.0) x))
  (sqrt (- (sqrt 1.0) x))
  (sqrt (- (pow 1.0 3) (pow (* x x) 3)))
  (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
  (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
  (sqrt (+ 1.0 (* x x)))
  (/ 1 2)
  (sqrt (sqrt (- 1.0 (* x x))))
  (sqrt (sqrt (- 1.0 (* x x))))
  (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))
  (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
  (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))))
0.096 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (- h1 (* h0 h0))))
 (log1p (sqrt (- h1 (* h0 h0))))
 (log (sqrt (- h1 (* h0 h0))))
 (exp (sqrt (- h1 (* h0 h0))))
 (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0)))))
 (cbrt (sqrt (- h1 (* h0 h0))))
 (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0))))
 (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0)))))
 (sqrt (cbrt (- h1 (* h0 h0))))
 (sqrt (sqrt (- h1 (* h0 h0))))
 (sqrt (sqrt (- h1 (* h0 h0))))
 (sqrt 1)
 (sqrt (- h1 (* h0 h0)))
 (sqrt (+ (sqrt h1) h0))
 (sqrt (- (sqrt h1) h0))
 (sqrt (- (pow h1 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0)))))
 (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))
 (sqrt (+ h1 (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (- h1 (* h0 h0))))
 (sqrt (sqrt (- h1 (* h0 h0))))
 (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1)))))
 (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))))
 (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))))