88.843 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.021 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.021 * * [simplify]: iteration 0: 6 enodes
0.023 * * [simplify]: iteration 1: 7 enodes
0.025 * * [simplify]: iteration complete: 7 enodes
0.025 * * [simplify]: Extracting #0: cost 1 inf + 0
0.025 * * [simplify]: Extracting #1: cost 2 inf + 0
0.026 * * [simplify]: Extracting #2: cost 4 inf + 0
0.026 * * [simplify]: Extracting #3: cost 6 inf + 0
0.026 * * [simplify]: Extracting #4: cost 3 inf + 43
0.026 * * [simplify]: Extracting #5: cost 0 inf + 368
0.026 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.027 * * [progress]: iteration 1 / 4
0.027 * * * [progress]: picking best candidate
0.031 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.031 * * * [progress]: localizing error
0.052 * * * [progress]: generating rewritten candidates
0.052 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.066 * * * [progress]: generating series expansions
0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.066 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
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 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [backup-simplify]: Simplify x into x
0.067 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.067 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.067 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.067 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 (* y y) into (pow y 2)
0.068 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.068 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.069 * [backup-simplify]: Simplify y into y
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 (* y y) into (pow y 2)
0.069 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.069 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
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 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 1 into 1
0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (+ 0 1) into 1
0.072 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.073 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.073 * [taylor]: Taking taylor expansion of 1/2 in y
0.073 * [backup-simplify]: Simplify 1/2 into 1/2
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.079 * [taylor]: Taking taylor expansion of x in y
0.079 * [backup-simplify]: Simplify x into x
0.079 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.079 * [backup-simplify]: Simplify (+ 1 0) into 1
0.080 * [backup-simplify]: Simplify (sqrt 1) into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [backup-simplify]: Simplify (+ 0 1) into 1
0.084 * [backup-simplify]: Simplify (sqrt 1) into 1
0.085 * [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 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [backup-simplify]: Simplify (+ 0 1) into 1
0.089 * [backup-simplify]: Simplify (sqrt 1) into 1
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.095 * [taylor]: Taking taylor expansion of 1/2 in y
0.095 * [backup-simplify]: Simplify 1/2 into 1/2
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.101 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.103 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.103 * [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
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.104 * [taylor]: Taking taylor expansion of x in y
0.104 * [backup-simplify]: Simplify x into x
0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.105 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [backup-simplify]: Simplify y into y
0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [backup-simplify]: Simplify (+ 0 1) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.110 * [taylor]: Taking taylor expansion of y in x
0.110 * [backup-simplify]: Simplify y into y
0.110 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.110 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.110 * [taylor]: Taking taylor expansion of x in x
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.110 * [backup-simplify]: Simplify (/ 1 1) into 1
0.110 * [backup-simplify]: Simplify (+ 0 1) into 1
0.111 * [backup-simplify]: Simplify (sqrt 1) into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.112 * [taylor]: Taking taylor expansion of 1 in y
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.122 * [taylor]: Taking taylor expansion of 1/2 in y
0.122 * [backup-simplify]: Simplify 1/2 into 1/2
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.126 * [taylor]: Taking taylor expansion of 0 in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.127 * * * [progress]: simplifying candidates
0.127 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) 1/2))>
0.127 * * * * [progress]: [ 2 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (sqrt (+ (* x x) (* y y))) 1))>
0.127 * * * * [progress]: [ 3 / 19 ] simplifiying candidate #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 4 / 19 ] simplifiying candidate #<alt (λ (x y) (log (exp (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 5 / 19 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 6 / 19 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 7 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 8 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 9 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt 1) (sqrt (+ (* x x) (* y y)))))>
0.127 * * * * [progress]: [ 10 / 19 ] 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)))))))>
0.127 * * * * [progress]: [ 11 / 19 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))>
0.127 * * * * [progress]: [ 12 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) (/ 1 2)))>
0.127 * * * * [progress]: [ 13 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.127 * * * * [progress]: [ 14 / 19 ] simplifiying candidate #<alt (λ (x y) (fabs (sqrt (+ (* x x) (* y y)))))>
0.127 * * * * [progress]: [ 15 / 19 ] simplifiying candidate #<alt (λ (x y) (* 1 (sqrt (+ (* x x) (* y y)))))>
0.128 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (sqrt (+ (* x x) (* y y))))))>
0.128 * * * * [progress]: [ 17 / 19 ] simplifiying candidate #<alt (λ (x y) y)>
0.128 * * * * [progress]: [ 18 / 19 ] simplifiying candidate #<alt (λ (x y) x)>
0.128 * * * * [progress]: [ 19 / 19 ] simplifiying candidate #<alt (λ (x y) (* -1 x))>
0.128 * [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))))
  y
  x
  (* -1 x)
0.128 * * [simplify]: iteration 0: 39 enodes
0.139 * * [simplify]: iteration 1: 92 enodes
0.173 * * [simplify]: iteration 2: 196 enodes
0.237 * * [simplify]: iteration 3: 435 enodes
0.399 * * [simplify]: iteration 4: 995 enodes
0.704 * * [simplify]: iteration complete: 2002 enodes
0.704 * * [simplify]: Extracting #0: cost 19 inf + 0
0.704 * * [simplify]: Extracting #1: cost 32 inf + 4
0.704 * * [simplify]: Extracting #2: cost 144 inf + 47
0.706 * * [simplify]: Extracting #3: cost 457 inf + 1587
0.720 * * [simplify]: Extracting #4: cost 407 inf + 38672
0.748 * * [simplify]: Extracting #5: cost 153 inf + 96015
0.778 * * [simplify]: Extracting #6: cost 88 inf + 126307
0.826 * * [simplify]: Extracting #7: cost 18 inf + 142155
0.851 * * [simplify]: Extracting #8: cost 0 inf + 149362
0.891 * [simplify]: Simplified to:
  (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))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))
  (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))))
  y
  x
  (- x)
0.892 * * * [progress]: adding candidates to table
0.966 * * [progress]: iteration 2 / 4
0.966 * * * [progress]: picking best candidate
0.970 * * * * [pick]: Picked  #<alt (λ (x y) y)>
0.970 * * * [progress]: localizing error
0.971 * * * [progress]: generating rewritten candidates
0.971 * * * [progress]: generating series expansions
0.971 * * * [progress]: simplifying candidates
0.971 * [simplify]: Simplifying:
  
0.971 * * [simplify]: iteration 0: 0 enodes
0.971 * * [simplify]: iteration complete: 0 enodes
0.971 * * [simplify]: Extracting #0: cost 0 inf + 0
0.971 * [simplify]: Simplified to:
  
0.971 * * * [progress]: adding candidates to table
0.972 * * [progress]: iteration 3 / 4
0.972 * * * [progress]: picking best candidate
0.975 * * * * [pick]: Picked  #<alt (λ (x y) (- x))>
0.975 * * * [progress]: localizing error
0.977 * * * [progress]: generating rewritten candidates
0.977 * * * [progress]: generating series expansions
0.977 * * * [progress]: simplifying candidates
0.977 * [simplify]: Simplifying:
  
0.977 * * [simplify]: iteration 0: 0 enodes
0.977 * * [simplify]: iteration complete: 0 enodes
0.977 * * [simplify]: Extracting #0: cost 0 inf + 0
0.977 * [simplify]: Simplified to:
  
0.977 * * * [progress]: adding candidates to table
0.978 * * [progress]: iteration 4 / 4
0.978 * * * [progress]: picking best candidate
0.979 * * * * [pick]: Picked  #<alt (λ (x y) x)>
0.979 * * * [progress]: localizing error
0.980 * * * [progress]: generating rewritten candidates
0.980 * * * [progress]: generating series expansions
0.980 * * * [progress]: simplifying candidates
0.980 * [simplify]: Simplifying:
  
0.980 * * [simplify]: iteration 0: 0 enodes
0.980 * * [simplify]: iteration complete: 0 enodes
0.980 * * [simplify]: Extracting #0: cost 0 inf + 0
0.980 * [simplify]: Simplified to:
  
0.980 * * * [progress]: adding candidates to table
0.981 * [progress]: [Phase 3 of 3] Extracting.
0.981 * * [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) x)>)
0.981 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
0.981 * * * * [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) x)>)
1.008 * * * * [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) x)>)
1.043 * * * * [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) x)>)
1.067 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
1.100 * * * * [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) x)>)
1.158 * * * * [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) x)>)
1.193 * * * * [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) x)>)
1.245 * * * * [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) x)>)
1.302 * * * [regime]: Found split indices: #<option (#s(si 2 30) #s(si 0 100) #s(si 1 142) #s(si 0 213) #s(si 3 255))>
1.303 * [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) x)>)
1.439 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3377295553932065e+154) #s(sp 0 x -3.6726164932126896e-218) #s(sp 1 x 1.590629195950438e-228) #s(sp 0 x 2.882396363471933e+117) #s(sp 3 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) x)>)
1.439 * [simplify]: Simplifying:
  (if (<= x -1.3377295553932065e+154) (- x) (if (<= x -3.6726164932126896e-218) (sqrt (+ (* x x) (* y y))) (if (<= x 1.590629195950438e-228) y (if (<= x 2.882396363471933e+117) (sqrt (+ (* x x) (* y y))) x))))
1.440 * * [simplify]: iteration 0: 19 enodes
1.441 * * [simplify]: iteration 1: 20 enodes
1.442 * * [simplify]: iteration complete: 20 enodes
1.442 * * [simplify]: Extracting #0: cost 1 inf + 0
1.443 * * [simplify]: Extracting #1: cost 4 inf + 0
1.443 * * [simplify]: Extracting #2: cost 9 inf + 0
1.443 * * [simplify]: Extracting #3: cost 12 inf + 2
1.443 * * [simplify]: Extracting #4: cost 11 inf + 179
1.443 * * [simplify]: Extracting #5: cost 8 inf + 384
1.443 * * [simplify]: Extracting #6: cost 5 inf + 614
1.443 * * [simplify]: Extracting #7: cost 3 inf + 974
1.444 * * [simplify]: Extracting #8: cost 2 inf + 1398
1.444 * * [simplify]: Extracting #9: cost 0 inf + 2679
1.445 * [simplify]: Simplified to:
  (if (<= x -1.3377295553932065e+154) (- x) (if (<= x -3.6726164932126896e-218) (sqrt (+ (* y y) (* x x))) (if (<= x 1.590629195950438e-228) y (if (<= x 2.882396363471933e+117) (sqrt (+ (* y y) (* x x))) x))))
2.806 * [regime-testing]: Baseline error score: 29.67776566707681
2.809 * [regime-testing]: Oracle error score: 7.4267389923568325
2.816 * [regime-testing]: End program error score: 17.391785637535836
2.875 * [regime-testing]: Target error score: 16.90845901106889