20.524 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.034 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.034 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.034 * * [simplify]: iteration 0: 6 enodes
0.035 * * [simplify]: iteration 1: 7 enodes
0.036 * * [simplify]: iteration complete: 7 enodes
0.036 * * [simplify]: Extracting #0: cost 1 inf + 0
0.036 * * [simplify]: Extracting #1: cost 2 inf + 0
0.036 * * [simplify]: Extracting #2: cost 4 inf + 0
0.036 * * [simplify]: Extracting #3: cost 6 inf + 0
0.036 * * [simplify]: Extracting #4: cost 3 inf + 43
0.036 * * [simplify]: Extracting #5: cost 0 inf + 368
0.036 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.039 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.039 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.064 * * * [progress]: generating series expansions
0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.065 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 (+ 0 (pow x 2)) into (pow x 2)
0.065 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.066 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.066 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.067 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.067 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.068 * [backup-simplify]: Simplify (* 1 1) into 1
0.068 * [backup-simplify]: Simplify (+ 0 1) into 1
0.069 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.069 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.069 * [taylor]: Taking taylor expansion of 1/2 in y
0.070 * [backup-simplify]: Simplify 1/2 into 1/2
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.076 * [taylor]: Taking taylor expansion of x in y
0.076 * [backup-simplify]: Simplify x into x
0.076 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.077 * [backup-simplify]: Simplify (+ 1 0) into 1
0.077 * [backup-simplify]: Simplify (sqrt 1) into 1
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [backup-simplify]: Simplify y into y
0.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.082 * [backup-simplify]: Simplify (+ 0 1) into 1
0.082 * [backup-simplify]: Simplify (sqrt 1) into 1
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.085 * [backup-simplify]: Simplify y into y
0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [backup-simplify]: Simplify (+ 0 1) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of 1 in y
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of 1/2 in y
0.104 * [backup-simplify]: Simplify 1/2 into 1/2
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.113 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.113 * [taylor]: Taking taylor expansion of y in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.114 * [taylor]: Taking taylor expansion of x in y
0.114 * [backup-simplify]: Simplify x into x
0.114 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.115 * [backup-simplify]: Simplify (sqrt 1) into 1
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (/ 1 1) into 1
0.120 * [backup-simplify]: Simplify (+ 0 1) into 1
0.120 * [backup-simplify]: Simplify (sqrt 1) into 1
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.123 * [taylor]: Taking taylor expansion of y in x
0.123 * [backup-simplify]: Simplify y into y
0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.123 * [taylor]: Taking taylor expansion of x in x
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [backup-simplify]: Simplify (+ 0 1) into 1
0.124 * [backup-simplify]: Simplify (sqrt 1) into 1
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.127 * [taylor]: Taking taylor expansion of 1 in y
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.131 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.131 * [taylor]: Taking taylor expansion of 1/2 in y
0.131 * [backup-simplify]: Simplify 1/2 into 1/2
0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in y
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.139 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.139 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.139 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [backup-simplify]: Simplify x into x
0.139 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.139 * [taylor]: Taking taylor expansion of y in x
0.139 * [backup-simplify]: Simplify y into y
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.139 * [taylor]: Taking taylor expansion of x in x
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.140 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.140 * [taylor]: Taking taylor expansion of y in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ 0 1) into 1
0.141 * [taylor]: Taking taylor expansion of 1 in y
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [taylor]: Taking taylor expansion of 0 in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.145 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.145 * [taylor]: Taking taylor expansion of y in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (/ 1 1) into 1
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.146 * [taylor]: Taking taylor expansion of x in y
0.146 * [backup-simplify]: Simplify x into x
0.146 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.146 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.146 * [taylor]: Taking taylor expansion of y in x
0.146 * [backup-simplify]: Simplify y into y
0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.147 * [taylor]: Taking taylor expansion of x in x
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [backup-simplify]: Simplify (+ 0 1) into 1
0.148 * [taylor]: Taking taylor expansion of 1 in y
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.150 * [taylor]: Taking taylor expansion of y in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.157 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.157 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (* 1 1) into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.157 * [taylor]: Taking taylor expansion of x in y
0.157 * [backup-simplify]: Simplify x into x
0.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.157 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.158 * [taylor]: Taking taylor expansion of y in x
0.158 * [backup-simplify]: Simplify y into y
0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.158 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.158 * [taylor]: Taking taylor expansion of y in x
0.158 * [backup-simplify]: Simplify y into y
0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.158 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [backup-simplify]: Simplify (+ 0 1) into 1
0.159 * [taylor]: Taking taylor expansion of 1 in y
0.159 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in y
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.169 * * * [progress]: simplifying candidates
0.169 * * * * [progress]: [ 1 / 34 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) 1/2))>
0.169 * * * * [progress]: [ 2 / 34 ] simplifiying candidate #<alt (λ (x y) (pow (sqrt (+ (* x x) (* y y))) 1))>
0.169 * * * * [progress]: [ 3 / 34 ] simplifiying candidate #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 4 / 34 ] simplifiying candidate #<alt (λ (x y) (log (exp (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 5 / 34 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 6 / 34 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 7 / 34 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 8 / 34 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 9 / 34 ] simplifiying candidate #<alt (λ (x y) (* (sqrt 1) (sqrt (+ (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 10 / 34 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))>
0.170 * * * * [progress]: [ 11 / 34 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 12 / 34 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) (/ 1 2)))>
0.170 * * * * [progress]: [ 13 / 34 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 14 / 34 ] simplifiying candidate #<alt (λ (x y) (fabs (sqrt (+ (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 15 / 34 ] simplifiying candidate #<alt (λ (x y) (* 1 (sqrt (+ (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 16 / 34 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 17 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (log (* (exp (* x x)) (exp (* y y))))))>
0.170 * * * * [progress]: [ 18 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (pow (+ (* x x) (* y y)) 1)))>
0.170 * * * * [progress]: [ 19 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (exp (log (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 20 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (log (exp (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 21 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 22 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 23 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 24 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))>
0.170 * * * * [progress]: [ 25 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (* 1 (+ (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 26 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))>
0.170 * * * * [progress]: [ 27 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (posit16->real (real->posit16 (+ (* x x) (* y y))))))>
0.170 * * * * [progress]: [ 28 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* y y) (* x x))))>
0.170 * * * * [progress]: [ 29 / 34 ] simplifiying candidate #<alt (λ (x y) y)>
0.170 * * * * [progress]: [ 30 / 34 ] simplifiying candidate #<alt (λ (x y) x)>
0.170 * * * * [progress]: [ 31 / 34 ] simplifiying candidate #<alt (λ (x y) (* -1 x))>
0.170 * * * * [progress]: [ 32 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (pow y 2) (pow x 2))))>
0.171 * * * * [progress]: [ 33 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (pow y 2) (pow x 2))))>
0.171 * * * * [progress]: [ 34 / 34 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (pow y 2) (pow x 2))))>
0.171 * [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))))
  (real->posit16 (sqrt (+ (* x x) (* y y))))
  (* (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))
  (real->posit16 (+ (* x x) (* y y)))
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.171 * * [simplify]: iteration 0: 50 enodes
0.182 * * [simplify]: iteration 1: 129 enodes
0.236 * * [simplify]: iteration 2: 373 enodes
0.468 * * [simplify]: iteration 3: 1599 enodes
1.610 * * [simplify]: iteration complete: 5000 enodes
1.610 * * [simplify]: Extracting #0: cost 30 inf + 0
1.611 * * [simplify]: Extracting #1: cost 213 inf + 4
1.614 * * [simplify]: Extracting #2: cost 1215 inf + 1986
1.632 * * [simplify]: Extracting #3: cost 1340 inf + 66577
1.702 * * [simplify]: Extracting #4: cost 382 inf + 258924
1.778 * * [simplify]: Extracting #5: cost 76 inf + 342042
1.863 * * [simplify]: Extracting #6: cost 27 inf + 355682
1.952 * * [simplify]: Extracting #7: cost 5 inf + 359618
2.039 * * [simplify]: Extracting #8: cost 0 inf + 361083
2.145 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* (* y y) (* y y)) (* y y))))
  (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (- x y) (+ x y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (real->posit16 (sqrt (+ (* y y) (* x x))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* x x) (* (* x x) (* x x))) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (- x y) (+ x y))
  (real->posit16 (+ (* y y) (* x x)))
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
2.148 * * * [progress]: adding candidates to table
2.316 * * [progress]: iteration 2 / 4
2.316 * * * [progress]: picking best candidate
2.321 * * * * [pick]: Picked  #<alt (λ (x y) y)>
2.321 * * * [progress]: localizing error
2.322 * * * [progress]: generating rewritten candidates
2.322 * * * [progress]: generating series expansions
2.322 * * * [progress]: simplifying candidates
2.322 * [simplify]: Simplifying:
  
2.322 * * [simplify]: iteration 0: 0 enodes
2.322 * * [simplify]: iteration complete: 0 enodes
2.322 * * [simplify]: Extracting #0: cost 0 inf + 0
2.322 * [simplify]: Simplified to:
  
2.322 * * * [progress]: adding candidates to table
2.323 * * [progress]: iteration 3 / 4
2.323 * * * [progress]: picking best candidate
2.326 * * * * [pick]: Picked  #<alt (λ (x y) (- x))>
2.326 * * * [progress]: localizing error
2.333 * * * [progress]: generating rewritten candidates
2.334 * * * [progress]: generating series expansions
2.334 * * * [progress]: simplifying candidates
2.334 * [simplify]: Simplifying:
  
2.334 * * [simplify]: iteration 0: 0 enodes
2.334 * * [simplify]: iteration complete: 0 enodes
2.334 * * [simplify]: Extracting #0: cost 0 inf + 0
2.334 * [simplify]: Simplified to:
  
2.334 * * * [progress]: adding candidates to table
2.335 * * [progress]: iteration 4 / 4
2.335 * * * [progress]: picking best candidate
2.338 * * * * [pick]: Picked  #<alt (λ (x y) x)>
2.338 * * * [progress]: localizing error
2.340 * * * [progress]: generating rewritten candidates
2.340 * * * [progress]: generating series expansions
2.340 * * * [progress]: simplifying candidates
2.340 * [simplify]: Simplifying:
  
2.340 * * [simplify]: iteration 0: 0 enodes
2.340 * * [simplify]: iteration complete: 0 enodes
2.340 * * [simplify]: Extracting #0: cost 0 inf + 0
2.340 * [simplify]: Simplified to:
  
2.340 * * * [progress]: adding candidates to table
2.341 * [progress]: [Phase 3 of 3] Extracting.
2.341 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.341 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
2.341 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.388 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.411 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.450 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.482 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.511 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.549 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.586 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.657 * * * [regime]: Found split indices: #<option (#s(si 0 29) #s(si 3 63) #s(si 2 75) #s(si 3 119) #s(si 2 135) #s(si 3 235) #s(si 1 255))>
2.658 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.872 * [regimes]: Found splitpoints: (#s(sp 0 x -1.2918446586536957e+154) #s(sp 3 x -2.6219396713989246e+28) #s(sp 2 x -3.209519593925633e-28) #s(sp 3 x -8.056228658328031e-199) #s(sp 2 x -3.759150523562943e-268) #s(sp 3 x 1.4301923552016937e+155) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.873 * [simplify]: Simplifying:
  (if (<= x -1.2918446586536957e+154) (- x) (if (<= x -2.6219396713989246e+28) (sqrt (+ (* x x) (* y y))) (if (<= x -3.209519593925633e-28) y (if (<= x -8.056228658328031e-199) (sqrt (+ (* x x) (* y y))) (if (<= x -3.759150523562943e-268) y (if (<= x 1.4301923552016937e+155) (sqrt (+ (* x x) (* y y))) x))))))
2.873 * * [simplify]: iteration 0: 25 enodes
2.874 * * [simplify]: iteration 1: 26 enodes
2.875 * * [simplify]: iteration complete: 26 enodes
2.875 * * [simplify]: Extracting #0: cost 1 inf + 0
2.875 * * [simplify]: Extracting #1: cost 4 inf + 0
2.875 * * [simplify]: Extracting #2: cost 9 inf + 0
2.875 * * [simplify]: Extracting #3: cost 12 inf + 2
2.875 * * [simplify]: Extracting #4: cost 12 inf + 179
2.875 * * [simplify]: Extracting #5: cost 11 inf + 384
2.875 * * [simplify]: Extracting #6: cost 10 inf + 614
2.876 * * [simplify]: Extracting #7: cost 8 inf + 749
2.876 * * [simplify]: Extracting #8: cost 7 inf + 750
2.876 * * [simplify]: Extracting #9: cost 6 inf + 817
2.876 * * [simplify]: Extracting #10: cost 4 inf + 1534
2.876 * * [simplify]: Extracting #11: cost 3 inf + 2089
2.876 * * [simplify]: Extracting #12: cost 2 inf + 2775
2.877 * * [simplify]: Extracting #13: cost 0 inf + 4580
2.877 * [simplify]: Simplified to:
  (if (<= x -1.2918446586536957e+154) (- x) (if (<= x -2.6219396713989246e+28) (sqrt (+ (* y y) (* x x))) (if (<= x -3.209519593925633e-28) y (if (<= x -8.056228658328031e-199) (sqrt (+ (* y y) (* x x))) (if (<= x -3.759150523562943e-268) y (if (<= x 1.4301923552016937e+155) (sqrt (+ (* y y) (* x x))) x))))))
4.279 * [regime-testing]: Baseline error score: 29.574110455102513
4.283 * [regime-testing]: Oracle error score: 7.669526231576081
4.288 * [regime-testing]: End program error score: 18.200880188083993
4.367 * [regime-testing]: Target error score: 16.693082158829753