9.296 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.026 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.026 * * [simplify]: iteration 0: 6 enodes
0.027 * * [simplify]: iteration 1: 9 enodes
0.028 * * [simplify]: iteration 2: 10 enodes
0.030 * * [simplify]: iteration complete: 10 enodes
0.030 * * [simplify]: Extracting #0: cost 1 inf + 0
0.030 * * [simplify]: Extracting #1: cost 4 inf + 0
0.030 * * [simplify]: Extracting #2: cost 4 inf + 2
0.030 * * [simplify]: Extracting #3: cost 0 inf + 238
0.030 * [simplify]: Simplified to:
  (hypot x y)
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (x y) (hypot x y))>
0.042 * * * [progress]: localizing error
0.046 * * * [progress]: generating rewritten candidates
0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.047 * * * [progress]: generating series expansions
0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.047 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
0.047 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
0.047 * [taylor]: Taking taylor expansion of (hypot x y) in y
0.047 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.047 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
0.047 * [taylor]: Taking taylor expansion of (* x x) in y
0.047 * [taylor]: Taking taylor expansion of x in y
0.047 * [backup-simplify]: Simplify x into x
0.047 * [taylor]: Taking taylor expansion of x in y
0.047 * [backup-simplify]: Simplify x into x
0.047 * [taylor]: Taking taylor expansion of (* y y) in y
0.047 * [taylor]: Taking taylor expansion of y in y
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [taylor]: Taking taylor expansion of y in y
0.047 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.048 * [backup-simplify]: Simplify (* 0 0) into 0
0.048 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.048 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.049 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.049 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.049 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.050 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.050 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.050 * [taylor]: Taking taylor expansion of (* x x) in x
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of (* y y) in x
0.050 * [taylor]: Taking taylor expansion of y in x
0.050 * [backup-simplify]: Simplify y into y
0.050 * [taylor]: Taking taylor expansion of y in x
0.050 * [backup-simplify]: Simplify y into y
0.050 * [backup-simplify]: Simplify (* 0 0) into 0
0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.050 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.050 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.051 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.052 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.052 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.052 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.052 * [taylor]: Taking taylor expansion of (* x x) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [taylor]: Taking taylor expansion of (* y y) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.052 * [backup-simplify]: Simplify y into y
0.052 * [taylor]: Taking taylor expansion of y in x
0.052 * [backup-simplify]: Simplify y into y
0.052 * [backup-simplify]: Simplify (* 0 0) into 0
0.052 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.052 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.053 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.053 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.053 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.054 * [taylor]: Taking taylor expansion of y in y
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.055 * [backup-simplify]: Simplify (+ 1 0) into 1
0.056 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.056 * [taylor]: Taking taylor expansion of 1/2 in y
0.056 * [backup-simplify]: Simplify 1/2 into 1/2
0.056 * [taylor]: Taking taylor expansion of y in y
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.062 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
0.062 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
0.062 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
0.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.062 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
0.062 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.062 * [taylor]: Taking taylor expansion of x in y
0.062 * [backup-simplify]: Simplify x into x
0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.063 * [backup-simplify]: Simplify x into x
0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.063 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (/ 1 1) into 1
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1 1) into 1
0.065 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (+ 0 1) into 1
0.065 * [backup-simplify]: Simplify (sqrt 1) into 1
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.069 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.070 * [taylor]: Taking taylor expansion of x in x
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.070 * [backup-simplify]: Simplify y into y
0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.070 * [backup-simplify]: Simplify y into y
0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.071 * [backup-simplify]: Simplify (+ 1 0) into 1
0.072 * [backup-simplify]: Simplify (sqrt 1) into 1
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.075 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.076 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [backup-simplify]: Simplify y into y
0.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.077 * [backup-simplify]: Simplify (* 1 1) into 1
0.077 * [backup-simplify]: Simplify (+ 1 0) into 1
0.078 * [backup-simplify]: Simplify (sqrt 1) into 1
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.081 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.084 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
0.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.086 * [taylor]: Taking taylor expansion of 1/2 in y
0.086 * [backup-simplify]: Simplify 1/2 into 1/2
0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.086 * [taylor]: Taking taylor expansion of y in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.106 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
0.106 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
0.106 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
0.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
0.106 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.106 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.106 * [taylor]: Taking taylor expansion of -1 in y
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.106 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.106 * [taylor]: Taking taylor expansion of -1 in y
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.106 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
0.106 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.106 * [taylor]: Taking taylor expansion of -1 in y
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of y in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (/ -1 1) into -1
0.107 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.107 * [taylor]: Taking taylor expansion of -1 in y
0.107 * [backup-simplify]: Simplify -1 into -1
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.108 * [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
0.109 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 (hypot (/ -1 x) (/ -1 y)) in x
0.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.113 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.113 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.113 * [taylor]: Taking taylor expansion of -1 in x
0.113 * [backup-simplify]: Simplify -1 into -1
0.113 * [taylor]: Taking taylor expansion of x in x
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (/ -1 1) into -1
0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.113 * [taylor]: Taking taylor expansion of -1 in x
0.113 * [backup-simplify]: Simplify -1 into -1
0.113 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.114 * [taylor]: Taking taylor expansion of -1 in x
0.114 * [backup-simplify]: Simplify -1 into -1
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [backup-simplify]: Simplify y into y
0.114 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.114 * [taylor]: Taking taylor expansion of -1 in x
0.114 * [backup-simplify]: Simplify -1 into -1
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [backup-simplify]: Simplify y into y
0.114 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.115 * [backup-simplify]: Simplify (* -1 -1) into 1
0.116 * [backup-simplify]: Simplify (+ 1 0) into 1
0.116 * [backup-simplify]: Simplify (sqrt 1) into 1
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.120 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
0.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.120 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.120 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.120 * [taylor]: Taking taylor expansion of -1 in x
0.120 * [backup-simplify]: Simplify -1 into -1
0.120 * [taylor]: Taking taylor expansion of x in x
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ -1 1) into -1
0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.121 * [taylor]: Taking taylor expansion of -1 in x
0.121 * [backup-simplify]: Simplify -1 into -1
0.121 * [taylor]: Taking taylor expansion of x in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ -1 1) into -1
0.121 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.121 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.121 * [taylor]: Taking taylor expansion of -1 in x
0.121 * [backup-simplify]: Simplify -1 into -1
0.121 * [taylor]: Taking taylor expansion of y in x
0.121 * [backup-simplify]: Simplify y into y
0.121 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.121 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.121 * [taylor]: Taking taylor expansion of -1 in x
0.121 * [backup-simplify]: Simplify -1 into -1
0.122 * [taylor]: Taking taylor expansion of y in x
0.122 * [backup-simplify]: Simplify y into y
0.122 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.122 * [backup-simplify]: Simplify (* -1 -1) into 1
0.122 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [backup-simplify]: Simplify (sqrt 1) into 1
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.126 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.130 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
0.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.132 * [taylor]: Taking taylor expansion of 1/2 in y
0.132 * [backup-simplify]: Simplify 1/2 into 1/2
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.142 * * * [progress]: simplifying candidates
0.143 * [simplify]: Simplifying:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (* -1 x)
0.143 * * [simplify]: iteration 0: 17 enodes
0.148 * * [simplify]: iteration 1: 22 enodes
0.154 * * [simplify]: iteration 2: 25 enodes
0.160 * * [simplify]: iteration 3: 30 enodes
0.169 * * [simplify]: iteration 4: 38 enodes
0.178 * * [simplify]: iteration 5: 57 enodes
0.188 * * [simplify]: iteration 6: 87 enodes
0.205 * * [simplify]: iteration 7: 162 enodes
0.259 * * [simplify]: iteration 8: 391 enodes
0.657 * * [simplify]: iteration 9: 1293 enodes
2.610 * * [simplify]: iteration complete: 5000 enodes
2.610 * * [simplify]: Extracting #0: cost 12 inf + 0
2.611 * * [simplify]: Extracting #1: cost 222 inf + 2
2.615 * * [simplify]: Extracting #2: cost 1330 inf + 1456
2.622 * * [simplify]: Extracting #3: cost 1439 inf + 3527
2.633 * * [simplify]: Extracting #4: cost 1362 inf + 67023
2.736 * * [simplify]: Extracting #5: cost 486 inf + 840949
2.873 * * [simplify]: Extracting #6: cost 3 inf + 1319123
3.025 * * [simplify]: Extracting #7: cost 0 inf + 1315350
3.199 * * [simplify]: Extracting #8: cost 0 inf + 1315179
3.355 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (hypot x y) (* (hypot x y) (hypot x y)))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (- x)
3.355 * * * [progress]: adding candidates to table
3.422 * * [progress]: iteration 2 / 4
3.423 * * * [progress]: picking best candidate
3.427 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
3.427 * * * [progress]: localizing error
3.437 * * * [progress]: generating rewritten candidates
3.437 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
3.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
3.450 * * * [progress]: generating series expansions
3.450 * * * * [progress]: [ 1 / 2 ] generating series at (2)
3.451 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
3.451 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
3.451 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.451 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.451 * [taylor]: Taking taylor expansion of y in y
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.451 * [taylor]: Taking taylor expansion of x in y
3.451 * [backup-simplify]: Simplify x into x
3.451 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.451 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.451 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.451 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
3.452 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.452 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.452 * [taylor]: Taking taylor expansion of y in x
3.452 * [backup-simplify]: Simplify y into y
3.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.452 * [taylor]: Taking taylor expansion of x in x
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.452 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.452 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
3.453 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.453 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.453 * [taylor]: Taking taylor expansion of y in x
3.453 * [backup-simplify]: Simplify y into y
3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.453 * [taylor]: Taking taylor expansion of x in x
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.453 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.453 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.453 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.454 * [taylor]: Taking taylor expansion of y in y
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [taylor]: Taking taylor expansion of 0 in y
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.458 * [backup-simplify]: Simplify (* 1 1) into 1
3.458 * [backup-simplify]: Simplify (+ 0 1) into 1
3.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.459 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.459 * [taylor]: Taking taylor expansion of 1/2 in y
3.459 * [backup-simplify]: Simplify 1/2 into 1/2
3.459 * [taylor]: Taking taylor expansion of y in y
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
3.461 * [taylor]: Taking taylor expansion of 0 in y
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
3.462 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
3.462 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.462 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.462 * [taylor]: Taking taylor expansion of y in y
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (* 1 1) into 1
3.463 * [backup-simplify]: Simplify (/ 1 1) into 1
3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.463 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.463 * [taylor]: Taking taylor expansion of x in y
3.463 * [backup-simplify]: Simplify x into x
3.463 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.463 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.464 * [backup-simplify]: Simplify (+ 1 0) into 1
3.464 * [backup-simplify]: Simplify (sqrt 1) into 1
3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.465 * [backup-simplify]: Simplify (+ 0 0) into 0
3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.466 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.466 * [taylor]: Taking taylor expansion of y in x
3.466 * [backup-simplify]: Simplify y into y
3.466 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.466 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.466 * [taylor]: Taking taylor expansion of x in x
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 1 into 1
3.466 * [backup-simplify]: Simplify (* 1 1) into 1
3.466 * [backup-simplify]: Simplify (/ 1 1) into 1
3.467 * [backup-simplify]: Simplify (+ 0 1) into 1
3.467 * [backup-simplify]: Simplify (sqrt 1) into 1
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.469 * [taylor]: Taking taylor expansion of y in x
3.469 * [backup-simplify]: Simplify y into y
3.469 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.469 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.469 * [taylor]: Taking taylor expansion of x in x
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [backup-simplify]: Simplify (* 1 1) into 1
3.469 * [backup-simplify]: Simplify (/ 1 1) into 1
3.470 * [backup-simplify]: Simplify (+ 0 1) into 1
3.470 * [backup-simplify]: Simplify (sqrt 1) into 1
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (+ 0 0) into 0
3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.472 * [taylor]: Taking taylor expansion of 1 in y
3.472 * [backup-simplify]: Simplify 1 into 1
3.472 * [taylor]: Taking taylor expansion of 0 in y
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 1 into 1
3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.473 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.474 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.474 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.474 * [taylor]: Taking taylor expansion of 1/2 in y
3.474 * [backup-simplify]: Simplify 1/2 into 1/2
3.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.474 * [taylor]: Taking taylor expansion of y in y
3.474 * [backup-simplify]: Simplify 0 into 0
3.474 * [backup-simplify]: Simplify 1 into 1
3.475 * [backup-simplify]: Simplify (* 1 1) into 1
3.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify (+ 0 0) into 0
3.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.482 * [taylor]: Taking taylor expansion of 0 in y
3.482 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.485 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
3.485 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
3.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.485 * [taylor]: Taking taylor expansion of y in y
3.485 * [backup-simplify]: Simplify 0 into 0
3.485 * [backup-simplify]: Simplify 1 into 1
3.486 * [backup-simplify]: Simplify (* 1 1) into 1
3.486 * [backup-simplify]: Simplify (/ 1 1) into 1
3.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.486 * [taylor]: Taking taylor expansion of x in y
3.486 * [backup-simplify]: Simplify x into x
3.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.487 * [backup-simplify]: Simplify (+ 1 0) into 1
3.488 * [backup-simplify]: Simplify (sqrt 1) into 1
3.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.491 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.491 * [taylor]: Taking taylor expansion of y in x
3.491 * [backup-simplify]: Simplify y into y
3.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.491 * [taylor]: Taking taylor expansion of x in x
3.491 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (* 1 1) into 1
3.492 * [backup-simplify]: Simplify (/ 1 1) into 1
3.493 * [backup-simplify]: Simplify (+ 0 1) into 1
3.493 * [backup-simplify]: Simplify (sqrt 1) into 1
3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.496 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.496 * [taylor]: Taking taylor expansion of y in x
3.496 * [backup-simplify]: Simplify y into y
3.496 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.497 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.497 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.497 * [taylor]: Taking taylor expansion of x in x
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.497 * [backup-simplify]: Simplify (* 1 1) into 1
3.498 * [backup-simplify]: Simplify (/ 1 1) into 1
3.498 * [backup-simplify]: Simplify (+ 0 1) into 1
3.499 * [backup-simplify]: Simplify (sqrt 1) into 1
3.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ 0 0) into 0
3.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.502 * [taylor]: Taking taylor expansion of 1 in y
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [taylor]: Taking taylor expansion of 0 in y
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.504 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.506 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.506 * [taylor]: Taking taylor expansion of 1/2 in y
3.506 * [backup-simplify]: Simplify 1/2 into 1/2
3.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.506 * [taylor]: Taking taylor expansion of y in y
3.506 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify 1 into 1
3.506 * [backup-simplify]: Simplify (* 1 1) into 1
3.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.513 * [taylor]: Taking taylor expansion of 0 in y
3.514 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.516 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
3.516 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
3.517 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
3.517 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.517 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.517 * [taylor]: Taking taylor expansion of y in y
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 1 into 1
3.517 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.517 * [taylor]: Taking taylor expansion of x in y
3.517 * [backup-simplify]: Simplify x into x
3.517 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.517 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.517 * [taylor]: Taking taylor expansion of y in x
3.517 * [backup-simplify]: Simplify y into y
3.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.517 * [taylor]: Taking taylor expansion of x in x
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 1 into 1
3.517 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.517 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.517 * [taylor]: Taking taylor expansion of y in x
3.517 * [backup-simplify]: Simplify y into y
3.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.517 * [taylor]: Taking taylor expansion of x in x
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 1 into 1
3.517 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.518 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.518 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.518 * [taylor]: Taking taylor expansion of y in y
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 1 into 1
3.518 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [taylor]: Taking taylor expansion of 0 in y
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.520 * [backup-simplify]: Simplify (* 1 1) into 1
3.520 * [backup-simplify]: Simplify (+ 0 1) into 1
3.520 * [taylor]: Taking taylor expansion of 1 in y
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify (* 1 1) into 1
3.521 * [backup-simplify]: Simplify 1 into 1
3.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [taylor]: Taking taylor expansion of 0 in y
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.524 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.527 * [backup-simplify]: Simplify (+ 0 0) into 0
3.527 * [taylor]: Taking taylor expansion of 0 in y
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
3.528 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.528 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.528 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.528 * [taylor]: Taking taylor expansion of y in y
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.529 * [backup-simplify]: Simplify (* 1 1) into 1
3.529 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.529 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.529 * [taylor]: Taking taylor expansion of x in y
3.529 * [backup-simplify]: Simplify x into x
3.529 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.529 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.529 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.530 * [taylor]: Taking taylor expansion of y in x
3.530 * [backup-simplify]: Simplify y into y
3.530 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.530 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.530 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.530 * [taylor]: Taking taylor expansion of x in x
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (* 1 1) into 1
3.531 * [backup-simplify]: Simplify (/ 1 1) into 1
3.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.531 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.531 * [taylor]: Taking taylor expansion of y in x
3.531 * [backup-simplify]: Simplify y into y
3.531 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.531 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.532 * [taylor]: Taking taylor expansion of x in x
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.532 * [backup-simplify]: Simplify (* 1 1) into 1
3.532 * [backup-simplify]: Simplify (/ 1 1) into 1
3.533 * [backup-simplify]: Simplify (+ 0 1) into 1
3.533 * [taylor]: Taking taylor expansion of 1 in y
3.533 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.535 * [backup-simplify]: Simplify (+ 0 0) into 0
3.535 * [taylor]: Taking taylor expansion of 0 in y
3.535 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.538 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.538 * [taylor]: Taking taylor expansion of y in y
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.539 * [backup-simplify]: Simplify (* 1 1) into 1
3.539 * [backup-simplify]: Simplify (/ 1 1) into 1
3.539 * [backup-simplify]: Simplify 1 into 1
3.539 * [backup-simplify]: Simplify 1 into 1
3.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [taylor]: Taking taylor expansion of 0 in y
3.543 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.549 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [taylor]: Taking taylor expansion of 0 in y
3.550 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
3.553 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.553 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.553 * [taylor]: Taking taylor expansion of y in y
3.553 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (* 1 1) into 1
3.555 * [backup-simplify]: Simplify (/ 1 1) into 1
3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.555 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.555 * [taylor]: Taking taylor expansion of x in y
3.555 * [backup-simplify]: Simplify x into x
3.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.555 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.555 * [taylor]: Taking taylor expansion of y in x
3.555 * [backup-simplify]: Simplify y into y
3.555 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.555 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.555 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.555 * [taylor]: Taking taylor expansion of x in x
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (* 1 1) into 1
3.557 * [backup-simplify]: Simplify (/ 1 1) into 1
3.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.557 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.557 * [taylor]: Taking taylor expansion of y in x
3.557 * [backup-simplify]: Simplify y into y
3.557 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.557 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.557 * [taylor]: Taking taylor expansion of x in x
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.558 * [backup-simplify]: Simplify (* 1 1) into 1
3.558 * [backup-simplify]: Simplify (/ 1 1) into 1
3.559 * [backup-simplify]: Simplify (+ 0 1) into 1
3.559 * [taylor]: Taking taylor expansion of 1 in y
3.559 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ 0 0) into 0
3.561 * [taylor]: Taking taylor expansion of 0 in y
3.561 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.564 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.564 * [taylor]: Taking taylor expansion of y in y
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [backup-simplify]: Simplify (* 1 1) into 1
3.565 * [backup-simplify]: Simplify (/ 1 1) into 1
3.565 * [backup-simplify]: Simplify 1 into 1
3.565 * [backup-simplify]: Simplify 1 into 1
3.565 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.569 * [taylor]: Taking taylor expansion of 0 in y
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.575 * [backup-simplify]: Simplify (+ 0 0) into 0
3.575 * [taylor]: Taking taylor expansion of 0 in y
3.575 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
3.579 * * * [progress]: simplifying candidates
3.580 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (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))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* 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))
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
3.581 * * [simplify]: iteration 0: 52 enodes
3.604 * * [simplify]: iteration 1: 136 enodes
3.657 * * [simplify]: iteration 2: 394 enodes
4.021 * * [simplify]: iteration 3: 1625 enodes
5.787 * * [simplify]: iteration complete: 5003 enodes
5.787 * * [simplify]: Extracting #0: cost 32 inf + 0
5.789 * * [simplify]: Extracting #1: cost 376 inf + 188
5.810 * * [simplify]: Extracting #2: cost 1084 inf + 16021
5.869 * * [simplify]: Extracting #3: cost 377 inf + 130203
5.963 * * [simplify]: Extracting #4: cost 64 inf + 199361
6.063 * * [simplify]: Extracting #5: cost 29 inf + 207319
6.133 * * [simplify]: Extracting #6: cost 3 inf + 212823
6.221 * * [simplify]: Extracting #7: cost 0 inf + 213702
6.325 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (fabs (cbrt (* (hypot x y) (hypot x y))))
  (sqrt (cbrt (* (hypot x y) (hypot x y))))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (hypot (* (* y y) y) (* (* x x) x))
  (sqrt (fma (* x x) (* x x) (* (* y y) (- (* y y) (* x x)))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (expm1 (* (hypot x y) (hypot x y)))
  (log1p (* (hypot x y) (hypot x y)))
  (exp (* (hypot x y) (hypot x y)))
  (+ (log (hypot x y)) (log (hypot x y)))
  (exp (* (hypot x y) (hypot x y)))
  (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y))))
  (cbrt (* (hypot x y) (hypot x y)))
  (* (* (hypot x y) (hypot x y)) (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))))
  (hypot x y)
  (hypot x y)
  (fma (* (* x x) x) (* (* x x) x) (* (* (* y y) y) (* (* y y) y)))
  (fma (* x x) (* x x) (* (* y y) (- (* y y) (* x x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (- x)
  (* (hypot x y) (hypot x y))
  (* (hypot x y) (hypot x y))
  (* (hypot x y) (hypot x y))
6.328 * * * [progress]: adding candidates to table
6.550 * [progress]: [Phase 3 of 3] Extracting.
6.551 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.551 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
6.551 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.604 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.657 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.705 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.743 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.798 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (hypot x y))>)
6.837 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
6.837 * [simplify]: Simplifying:
  (hypot x y)
6.838 * * [simplify]: iteration 0: 3 enodes
6.838 * * [simplify]: iteration complete: 3 enodes
6.838 * * [simplify]: Extracting #0: cost 1 inf + 0
6.838 * * [simplify]: Extracting #1: cost 3 inf + 0
6.838 * * [simplify]: Extracting #2: cost 1 inf + 2
6.838 * * [simplify]: Extracting #3: cost 0 inf + 59
6.838 * [simplify]: Simplified to:
  (hypot x y)
8.047 * [regime-testing]: Baseline error score: 0.0037504688086010753
8.063 * [regime-testing]: Oracle error score: 0.003375421927740968
8.097 * [regime-testing]: End program error score: 0.0037504688086010753
8.215 * [regime-testing]: Target error score: 17.873791095497896