40.518 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.032 * [simplify]: Sending expressions to egg_math:
 (+ (* h1 h1) (* h0 h0))
0.049 * * [progress]: iteration 1 / 4
0.049 * * * [progress]: picking best candidate
0.050 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.050 * * * [progress]: localizing error
0.056 * * * [progress]: generating rewritten candidates
0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.064 * * * [progress]: generating series expansions
0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.064 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.064 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.064 * [taylor]: Taking taylor expansion of x in y
0.064 * [backup-simplify]: Simplify x into x
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.065 * [backup-simplify]: Simplify y into y
0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.065 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [taylor]: Taking taylor expansion of 0 in y
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.066 * [backup-simplify]: Simplify (+ 1 0) into 1
0.066 * [taylor]: Taking taylor expansion of 1 in y
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (* 1 1) into 1
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.070 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.070 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [backup-simplify]: Simplify x into x
0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.071 * [backup-simplify]: Simplify (/ 1 1) into 1
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (/ 1 1) into 1
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.072 * [backup-simplify]: Simplify y into y
0.072 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.072 * [taylor]: Taking taylor expansion of x in x
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.073 * [backup-simplify]: Simplify (+ 1 0) into 1
0.073 * [taylor]: Taking taylor expansion of 1 in y
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.076 * [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 1 into 1
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.090 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (* 1 1) into 1
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [backup-simplify]: Simplify y into y
0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.094 * [backup-simplify]: Simplify (+ 1 0) into 1
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.105 * * * [progress]: simplifying candidates
0.106 * [simplify]: Simplifying:
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.106 * [simplify]: Sending expressions to egg_math:
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
0.804 * * * [progress]: adding candidates to table
0.839 * [progress]: [Phase 3 of 3] Extracting.
0.841 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.841 * [simplify]: Sending expressions to egg_math:
 (+ (* h1 h1) (* h0 h0))
2.296 * [regime-testing]: Baseline error score: 0.004750593824228029
2.298 * [regime-testing]: Oracle error score: 0.004750593824228029
2.298 * [regime-testing]: End program error score: 0.004750593824228029