13.113 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.017 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) (* h0 h0)))
0.019 * * [progress]: iteration 1 / 4
0.019 * * * [progress]: picking best candidate
0.021 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.021 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.035 * * * [progress]: generating series expansions
0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.035 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.035 * [taylor]: Taking taylor expansion of x in y
0.035 * [backup-simplify]: Simplify x into x
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify 1 into 1
0.036 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.036 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.036 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.036 * [backup-simplify]: Simplify (+ 0 0) into 0
0.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
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
0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.036 * [taylor]: Taking taylor expansion of y in x
0.036 * [backup-simplify]: Simplify y into y
0.036 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.037 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.037 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.037 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.037 * [backup-simplify]: Simplify (+ 0 0) into 0
0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.037 * [taylor]: Taking taylor expansion of x in x
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify 1 into 1
0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.037 * [taylor]: Taking taylor expansion of y in x
0.037 * [backup-simplify]: Simplify y into y
0.037 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.037 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.037 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.037 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.038 * [backup-simplify]: Simplify (+ 0 0) into 0
0.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.038 * [taylor]: Taking taylor expansion of y in y
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 1 into 1
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 1 into 1
0.038 * [backup-simplify]: Simplify (* 1 1) into 1
0.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.039 * [backup-simplify]: Simplify (+ 1 0) into 1
0.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.039 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.039 * [taylor]: Taking taylor expansion of 1/2 in y
0.039 * [backup-simplify]: Simplify 1/2 into 1/2
0.039 * [taylor]: Taking taylor expansion of y in y
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.041 * [backup-simplify]: Simplify (+ 0 0) into 0
0.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.042 * [taylor]: Taking taylor expansion of 0 in y
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.042 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.042 * [taylor]: Taking taylor expansion of x in y
0.043 * [backup-simplify]: Simplify x into x
0.043 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.043 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.043 * [taylor]: Taking taylor expansion of y in y
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.043 * [backup-simplify]: Simplify (* 1 1) into 1
0.043 * [backup-simplify]: Simplify (/ 1 1) into 1
0.043 * [backup-simplify]: Simplify (+ 0 1) into 1
0.044 * [backup-simplify]: Simplify (sqrt 1) into 1
0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.045 * [backup-simplify]: Simplify (+ 0 0) into 0
0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.045 * [taylor]: Taking taylor expansion of x in x
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.046 * [backup-simplify]: Simplify (* 1 1) into 1
0.046 * [backup-simplify]: Simplify (/ 1 1) into 1
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.046 * [backup-simplify]: Simplify y into y
0.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.046 * [backup-simplify]: Simplify (+ 1 0) into 1
0.047 * [backup-simplify]: Simplify (sqrt 1) into 1
0.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.047 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [taylor]: Taking taylor expansion of x in x
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [backup-simplify]: Simplify (* 1 1) into 1
0.049 * [backup-simplify]: Simplify (/ 1 1) into 1
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.049 * [taylor]: Taking taylor expansion of y in x
0.049 * [backup-simplify]: Simplify y into y
0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.049 * [backup-simplify]: Simplify (+ 1 0) into 1
0.056 * [backup-simplify]: Simplify (sqrt 1) into 1
0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.057 * [taylor]: Taking taylor expansion of 1 in y
0.057 * [backup-simplify]: Simplify 1 into 1
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.059 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.060 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.060 * [taylor]: Taking taylor expansion of 1/2 in y
0.060 * [backup-simplify]: Simplify 1/2 into 1/2
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (* 1 1) into 1
0.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.065 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [backup-simplify]: Simplify x into x
0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [backup-simplify]: Simplify (+ 0 1) into 1
0.066 * [backup-simplify]: Simplify (sqrt 1) into 1
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (* 1 1) into 1
0.068 * [backup-simplify]: Simplify (/ 1 1) into 1
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.068 * [backup-simplify]: Simplify y into y
0.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.069 * [backup-simplify]: Simplify (+ 1 0) into 1
0.069 * [backup-simplify]: Simplify (sqrt 1) into 1
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
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
0.071 * [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 y 2)) in x
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.071 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.072 * [backup-simplify]: Simplify (sqrt 1) into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.074 * [taylor]: Taking taylor expansion of 1 in y
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [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))
0.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.076 * [taylor]: Taking taylor expansion of 1/2 in y
0.076 * [backup-simplify]: Simplify 1/2 into 1/2
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.081 * * * [progress]: simplifying candidates
0.081 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (* -1 x)
0.081 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 h0
 h1
 (* -1 h1)
0.213 * * * [progress]: adding candidates to table
0.254 * * [progress]: iteration 2 / 4
0.254 * * * [progress]: picking best candidate
0.256 * * * * [pick]: Picked  #<alt (λ (x y) x)>
0.256 * * * [progress]: localizing error
0.257 * * * [progress]: generating rewritten candidates
0.257 * * * [progress]: generating series expansions
0.257 * * * [progress]: simplifying candidates
0.257 * [simplify]: Simplifying:
  
0.257 * [simplify]: Sending expressions to egg_math:
 
0.259 * * * [progress]: adding candidates to table
0.260 * * [progress]: iteration 3 / 4
0.260 * * * [progress]: picking best candidate
0.261 * * * * [pick]: Picked  #<alt (λ (x y) y)>
0.261 * * * [progress]: localizing error
0.262 * * * [progress]: generating rewritten candidates
0.262 * * * [progress]: generating series expansions
0.262 * * * [progress]: simplifying candidates
0.263 * [simplify]: Simplifying:
  
0.263 * [simplify]: Sending expressions to egg_math:
 
0.264 * * * [progress]: adding candidates to table
0.264 * * [progress]: iteration 4 / 4
0.264 * * * [progress]: picking best candidate
0.265 * * * * [pick]: Picked  #<alt (λ (x y) (* -1 x))>
0.265 * * * [progress]: localizing error
0.267 * * * [progress]: generating rewritten candidates
0.267 * * * [progress]: generating series expansions
0.267 * * * [progress]: simplifying candidates
0.268 * [simplify]: Simplifying:
  
0.268 * [simplify]: Sending expressions to egg_math:
 
0.269 * * * [progress]: adding candidates to table
0.270 * [progress]: [Phase 3 of 3] Extracting.
0.270 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.270 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
0.270 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.299 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.326 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.341 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
0.353 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.375 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.401 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.434 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.467 * * * [regime]: Found split indices: #<option (#s(si 3 47) #s(si 0 102) #s(si 1 120) #s(si 0 211) #s(si 2 255))>
0.468 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.541 * [regimes]: Found splitpoints: (#s(sp 3 x -4.219332295965777e+82) #s(sp 0 x -3.743447547042941e-217) #s(sp 1 x 4.769025653725655e-305) #s(sp 0 x 2.4193750647347497e+132) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) x)> #<alt (λ (x y) (* -1 x))>)
0.541 * [simplify]: Simplifying:
  (if (<= x -4.219332295965777e+82) (* -1 x) (if (<= x -3.743447547042941e-217) (sqrt (+ (* x x) (* y y))) (if (<= x 4.769025653725655e-305) y (if (<= x 2.4193750647347497e+132) (sqrt (+ (* x x) (* y y))) x))))
0.541 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h5) (* -1 h0) (if (<= h0 h4) (sqrt (+ (* h0 h0) (* h1 h1))) (if (<= h0 h3) h1 (if (<= h0 h2) (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
1.198 * [regime-testing]: Baseline error score: 32.09838720916328
1.200 * [regime-testing]: Oracle error score: 7.859256213200802
1.204 * [regime-testing]: End program error score: 17.816085477133857
1.243 * [regime-testing]: Target error score: 17.792270406905633