17.456 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.027 * * * [progress]: [2/2] Setting up program.
0.029 * [progress]: [Phase 2 of 3] Improving.
0.029 * [simplify]: Simplifying:
  (sqrt (- 1.0 (* x x)))
0.029 * [simplify]: Sending expressions to egg_math:
 (sqrt (- h1 (* h0 h0)))
0.031 * * [progress]: iteration 1 / 4
0.031 * * * [progress]: picking best candidate
0.033 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (- 1.0 (* x x))))>
0.033 * * * [progress]: localizing error
0.037 * * * [progress]: generating rewritten candidates
0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.043 * * * [progress]: generating series expansions
0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.043 * [backup-simplify]: Simplify (- 1.0 (* x x)) into (- 1.0 (pow x 2))
0.043 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0
0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x
0.043 * [taylor]: Taking taylor expansion of 1.0 in x
0.043 * [backup-simplify]: Simplify 1.0 into 1.0
0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.043 * [taylor]: Taking taylor expansion of x in x
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x
0.043 * [taylor]: Taking taylor expansion of 1.0 in x
0.043 * [backup-simplify]: Simplify 1.0 into 1.0
0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.043 * [taylor]: Taking taylor expansion of x in x
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.044 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.044 * [backup-simplify]: Simplify 1.0 into 1.0
0.044 * [backup-simplify]: Simplify (+ 0 0) into 0
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify (* 1 1) into 1
0.045 * [backup-simplify]: Simplify (- 1) into -1
0.045 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.045 * [backup-simplify]: Simplify -1 into -1
0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.046 * [backup-simplify]: Simplify (- 0) into 0
0.046 * [backup-simplify]: Simplify (+ 0 0) into 0
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.047 * [backup-simplify]: Simplify (- 0) into 0
0.047 * [backup-simplify]: Simplify (+ 0 0) into 0
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.048 * [backup-simplify]: Simplify (- 0) into 0
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.049 * [backup-simplify]: Simplify (- 0) into 0
0.049 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.050 * [backup-simplify]: Simplify (- 0) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (+ (* -1 (pow x 2)) 1.0) into (- 1.0 (pow x 2))
0.052 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 x) (/ 1 x))) into (- 1.0 (/ 1 (pow x 2)))
0.052 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0
0.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.052 * [taylor]: Taking taylor expansion of 1.0 in x
0.052 * [backup-simplify]: Simplify 1.0 into 1.0
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [backup-simplify]: Simplify (* 1 1) into 1
0.053 * [backup-simplify]: Simplify (/ 1 1) into 1
0.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.053 * [taylor]: Taking taylor expansion of 1.0 in x
0.053 * [backup-simplify]: Simplify 1.0 into 1.0
0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.053 * [taylor]: Taking taylor expansion of x in x
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 1 into 1
0.053 * [backup-simplify]: Simplify (* 1 1) into 1
0.053 * [backup-simplify]: Simplify (/ 1 1) into 1
0.054 * [backup-simplify]: Simplify (- 1) into -1
0.054 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.054 * [backup-simplify]: Simplify -1 into -1
0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.055 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.057 * [backup-simplify]: Simplify 1.0 into 1.0
0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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
0.066 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 x)) 2))) into (- 1.0 (pow x 2))
0.068 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))) into (- 1.0 (/ 1 (pow x 2)))
0.069 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0
0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.069 * [taylor]: Taking taylor expansion of 1.0 in x
0.069 * [backup-simplify]: Simplify 1.0 into 1.0
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x
0.069 * [taylor]: Taking taylor expansion of 1.0 in x
0.069 * [backup-simplify]: Simplify 1.0 into 1.0
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [backup-simplify]: Simplify (- 1) into -1
0.070 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.070 * [backup-simplify]: Simplify -1 into -1
0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.073 * [backup-simplify]: Simplify 1.0 into 1.0
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 (- x))) 2))) into (- 1.0 (pow x 2))
0.084 * * * [progress]: simplifying candidates
0.085 * [simplify]: Simplifying:
  (/ (exp 1.0) (exp (* x x)))
  (log (- 1.0 (* x x)))
  (exp (- 1.0 (* x x)))
  (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))
  (cbrt (- 1.0 (* x x)))
  (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))
  (sqrt (- 1.0 (* x x)))
  (sqrt (- 1.0 (* x x)))
  (- (pow 1.0 3) (pow (* x x) 3))
  (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))
  (- (* x x))
  (- (* 1.0 1.0) (* (* x x) (* x x)))
  (+ 1.0 (* x x))
  (+ (sqrt 1.0) x)
  (- (sqrt 1.0) x)
  (- (* x x))
  (- 1.0 (pow x 2))
  (- 1.0 (pow x 2))
  (- 1.0 (pow x 2))
0.085 * [simplify]: Sending expressions to egg_math:
 (/ (exp h1) (exp (* h0 h0)))
 (log (- h1 (* h0 h0)))
 (exp (- h1 (* h0 h0)))
 (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))
 (cbrt (- h1 (* h0 h0)))
 (* (* (- h1 (* h0 h0)) (- h1 (* h0 h0))) (- h1 (* h0 h0)))
 (sqrt (- h1 (* h0 h0)))
 (sqrt (- h1 (* h0 h0)))
 (- (pow h1 3) (pow (* h0 h0) 3))
 (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))
 (- (* h0 h0))
 (- (* h1 h1) (* (* h0 h0) (* h0 h0)))
 (+ h1 (* h0 h0))
 (+ (sqrt h1) h0)
 (- (sqrt h1) h0)
 (- (* h0 h0))
 (- h1 (pow h0 2))
 (- h1 (pow h0 2))
 (- h1 (pow h0 2))
0.158 * * * [progress]: adding candidates to table
0.192 * * [progress]: iteration 2 / 4
0.192 * * * [progress]: picking best candidate
0.194 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))))>
0.194 * * * [progress]: localizing error
0.201 * * * [progress]: generating rewritten candidates
0.201 * * * [progress]: generating series expansions
0.201 * * * [progress]: simplifying candidates
0.201 * [simplify]: Simplifying:
  
0.201 * [simplify]: Sending expressions to egg_math:
 
0.203 * * * [progress]: adding candidates to table
0.203 * [progress]: [Phase 3 of 3] Extracting.
0.205 * [simplify]: Simplifying:
  (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))
0.205 * [simplify]: Sending expressions to egg_math:
 (sqrt (* (+ (sqrt h1) h0) (- (sqrt h1) h0)))
1.049 * [regime-testing]: Baseline error score: 0.0166270783847981
1.051 * [regime-testing]: Oracle error score: 0.0166270783847981
1.051 * [regime-testing]: End program error score: 0.0166270783847981