23.002 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.025 * * [simplify]: iteration 0: 5 enodes
0.026 * * [simplify]: iteration 1: 7 enodes
0.028 * * [simplify]: iteration complete: 7 enodes
0.028 * * [simplify]: Extracting #0: cost 1 inf + 0
0.028 * * [simplify]: Extracting #1: cost 2 inf + 0
0.028 * * [simplify]: Extracting #2: cost 5 inf + 0
0.028 * * [simplify]: Extracting #3: cost 3 inf + 2
0.028 * * [simplify]: Extracting #4: cost 0 inf + 197
0.029 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.044 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.044 * * * [progress]: localizing error
0.057 * * * [progress]: generating rewritten candidates
0.057 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.060 * * * [progress]: generating series expansions
0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.060 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.060 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.060 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.060 * [taylor]: Rewrote expression to (+ (* x x) y)
0.060 * [taylor]: Taking taylor expansion of (* x x) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [backup-simplify]: Simplify x into x
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [backup-simplify]: Simplify x into x
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.061 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.061 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 1) into 1
0.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.062 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.062 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.062 * [taylor]: Rewrote expression to (+ (* x x) y)
0.062 * [taylor]: Taking taylor expansion of (* x x) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of y in x
0.062 * [backup-simplify]: Simplify y into y
0.062 * [backup-simplify]: Simplify (* 0 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 y) into y
0.063 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.063 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.064 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.064 * [taylor]: Rewrote expression to (+ (* x x) y)
0.064 * [taylor]: Taking taylor expansion of (* x x) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [backup-simplify]: Simplify (* 0 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 y) into y
0.065 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.065 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.066 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.066 * [taylor]: Taking taylor expansion of y in y
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (sqrt 0) into 0
0.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.069 * [backup-simplify]: Simplify (+ 1 0) into 1
0.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.070 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.070 * [taylor]: Taking taylor expansion of 1/2 in y
0.070 * [backup-simplify]: Simplify 1/2 into 1/2
0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.071 * [backup-simplify]: Simplify (sqrt 0) into 0
0.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.072 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.073 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.073 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.074 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.075 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
0.075 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.075 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.075 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.075 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [backup-simplify]: Simplify (+ 0 1) into 1
0.076 * [backup-simplify]: Simplify (sqrt 0) into 0
0.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.077 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.077 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.077 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.077 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.078 * [taylor]: Taking taylor expansion of x in x
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
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (+ 1 0) into 1
0.079 * [backup-simplify]: Simplify (sqrt 1) into 1
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [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 (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.081 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.081 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.081 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [backup-simplify]: Simplify y into y
0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.082 * [backup-simplify]: Simplify (* 1 1) into 1
0.082 * [backup-simplify]: Simplify (+ 1 0) into 1
0.082 * [backup-simplify]: Simplify (sqrt 1) into 1
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.084 * [taylor]: Taking taylor expansion of 1 in y
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.087 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.087 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.087 * [taylor]: Taking taylor expansion of 1/2 in y
0.087 * [backup-simplify]: Simplify 1/2 into 1/2
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.087 * [backup-simplify]: Simplify 1/2 into 1/2
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.093 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.093 * [taylor]: Taking taylor expansion of -1/8 in y
0.093 * [backup-simplify]: Simplify -1/8 into -1/8
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.096 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.096 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.096 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.096 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.096 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.096 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.096 * [taylor]: Taking taylor expansion of -1 in y
0.096 * [backup-simplify]: Simplify -1 into -1
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [backup-simplify]: Simplify x into x
0.096 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.096 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.096 * [taylor]: Taking taylor expansion of -1 in y
0.096 * [backup-simplify]: Simplify -1 into -1
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [backup-simplify]: Simplify x into x
0.097 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.097 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.097 * [taylor]: Taking taylor expansion of -1 in y
0.097 * [backup-simplify]: Simplify -1 into -1
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ -1 1) into -1
0.098 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.098 * [backup-simplify]: Simplify (sqrt 0) into 0
0.099 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.099 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.099 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.099 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.099 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.099 * [taylor]: Taking taylor expansion of -1 in x
0.099 * [backup-simplify]: Simplify -1 into -1
0.099 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (/ -1 1) into -1
0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.100 * [taylor]: Taking taylor expansion of -1 in x
0.100 * [backup-simplify]: Simplify -1 into -1
0.100 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ -1 1) into -1
0.101 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.101 * [taylor]: Taking taylor expansion of -1 in x
0.101 * [backup-simplify]: Simplify -1 into -1
0.101 * [taylor]: Taking taylor expansion of y in x
0.101 * [backup-simplify]: Simplify y into y
0.101 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.101 * [backup-simplify]: Simplify (* -1 -1) into 1
0.101 * [backup-simplify]: Simplify (+ 1 0) into 1
0.102 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.105 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.105 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.105 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.106 * [taylor]: Taking taylor expansion of -1 in x
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ -1 1) into -1
0.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.106 * [taylor]: Taking taylor expansion of -1 in x
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of x in x
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 x
0.107 * [taylor]: Taking taylor expansion of -1 in x
0.107 * [backup-simplify]: Simplify -1 into -1
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [backup-simplify]: Simplify y into y
0.107 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.107 * [backup-simplify]: Simplify (* -1 -1) into 1
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of 1 in y
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.114 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y))
0.116 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.116 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.116 * [taylor]: Taking taylor expansion of -1/2 in y
0.116 * [backup-simplify]: Simplify -1/2 into -1/2
0.116 * [taylor]: Taking taylor expansion of y in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.116 * [backup-simplify]: Simplify -1/2 into -1/2
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.122 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.123 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.123 * [taylor]: Taking taylor expansion of -1/8 in y
0.123 * [backup-simplify]: Simplify -1/8 into -1/8
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.123 * [taylor]: Taking taylor expansion of y in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.130 * * * [progress]: simplifying candidates
0.131 * [simplify]: Simplifying:
  (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))
  (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt 1)
  (sqrt (fma x x y))
  (/ 1 2)
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.131 * * [simplify]: iteration 0: 37 enodes
0.139 * * [simplify]: iteration 1: 76 enodes
0.156 * * [simplify]: iteration 2: 174 enodes
0.226 * * [simplify]: iteration 3: 435 enodes
0.515 * * [simplify]: iteration 4: 1161 enodes
1.735 * * [simplify]: iteration 5: 3233 enodes
3.611 * * [simplify]: iteration complete: 5004 enodes
3.611 * * [simplify]: Extracting #0: cost 16 inf + 0
3.612 * * [simplify]: Extracting #1: cost 207 inf + 2
3.616 * * [simplify]: Extracting #2: cost 393 inf + 4816
3.642 * * [simplify]: Extracting #3: cost 234 inf + 29734
3.668 * * [simplify]: Extracting #4: cost 25 inf + 51580
3.710 * * [simplify]: Extracting #5: cost 1 inf + 55092
3.758 * * [simplify]: Extracting #6: cost 0 inf + 55400
3.789 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (* (fma x x y) (sqrt (fma x x y)))
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (* +nan.0 (fma (- y) y (fma x x (- y))))
  (fma (/ 1/2 x) y x)
  (- (/ (* y -1/2) x) x)
3.789 * * * [progress]: adding candidates to table
3.864 * * [progress]: iteration 2 / 4
3.864 * * * [progress]: picking best candidate
3.870 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* y -1/2) x) x))>
3.870 * * * [progress]: localizing error
3.877 * * * [progress]: generating rewritten candidates
3.877 * * * [progress]: generating series expansions
3.877 * * * [progress]: simplifying candidates
3.877 * [simplify]: Simplifying:
  
3.878 * * [simplify]: iteration 0: 0 enodes
3.878 * * [simplify]: iteration complete: 0 enodes
3.878 * * [simplify]: Extracting #0: cost 0 inf + 0
3.878 * [simplify]: Simplified to:
  
3.878 * * * [progress]: adding candidates to table
3.878 * * [progress]: iteration 3 / 4
3.878 * * * [progress]: picking best candidate
3.885 * * * * [pick]: Picked  #<alt (λ (x y) (fma (/ 1/2 x) y x))>
3.885 * * * [progress]: localizing error
3.898 * * * [progress]: generating rewritten candidates
3.898 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.899 * * * [progress]: generating series expansions
3.899 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.899 * [backup-simplify]: Simplify (fma (/ 1/2 x) y x) into (fma (/ 1/2 x) y x)
3.899 * [approximate]: Taking taylor expansion of (fma (/ 1/2 x) y x) in (x y) around 0
3.899 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in y
3.899 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
3.899 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in y
3.899 * [taylor]: Taking taylor expansion of (/ 1/2 x) in y
3.899 * [taylor]: Taking taylor expansion of 1/2 in y
3.899 * [backup-simplify]: Simplify 1/2 into 1/2
3.899 * [taylor]: Taking taylor expansion of x in y
3.899 * [backup-simplify]: Simplify x into x
3.899 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x)
3.899 * [taylor]: Taking taylor expansion of y in y
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [taylor]: Taking taylor expansion of x in y
3.899 * [backup-simplify]: Simplify x into x
3.899 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
3.900 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
3.900 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
3.900 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.900 * [taylor]: Taking taylor expansion of 1/2 in x
3.900 * [backup-simplify]: Simplify 1/2 into 1/2
3.900 * [taylor]: Taking taylor expansion of x in x
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.901 * [taylor]: Taking taylor expansion of y in x
3.901 * [backup-simplify]: Simplify y into y
3.901 * [taylor]: Taking taylor expansion of x in x
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.901 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
3.901 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
3.901 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
3.901 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.901 * [taylor]: Taking taylor expansion of 1/2 in x
3.901 * [backup-simplify]: Simplify 1/2 into 1/2
3.901 * [taylor]: Taking taylor expansion of x in x
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.902 * [taylor]: Taking taylor expansion of y in x
3.902 * [backup-simplify]: Simplify y into y
3.902 * [taylor]: Taking taylor expansion of x in x
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
3.902 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y)
3.902 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
3.902 * [taylor]: Taking taylor expansion of 1/2 in y
3.902 * [backup-simplify]: Simplify 1/2 into 1/2
3.902 * [taylor]: Taking taylor expansion of y in y
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.903 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.903 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
3.905 * [backup-simplify]: Simplify (+ 0 0) into 0
3.905 * [taylor]: Taking taylor expansion of 0 in y
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.905 * [backup-simplify]: Simplify 1/2 into 1/2
3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 1) into 1
3.907 * [taylor]: Taking taylor expansion of 1 in y
3.907 * [backup-simplify]: Simplify 1 into 1
3.907 * [backup-simplify]: Simplify 1 into 1
3.907 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.909 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [taylor]: Taking taylor expansion of 0 in y
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
3.911 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 x)) (/ 1 y) (/ 1 x)) into (fma (* 1/2 x) (/ 1 y) (/ 1 x))
3.911 * [approximate]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in (x y) around 0
3.911 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in y
3.911 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
3.911 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in y
3.911 * [taylor]: Taking taylor expansion of (* 1/2 x) in y
3.911 * [taylor]: Taking taylor expansion of 1/2 in y
3.911 * [backup-simplify]: Simplify 1/2 into 1/2
3.911 * [taylor]: Taking taylor expansion of x in y
3.911 * [backup-simplify]: Simplify x into x
3.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.911 * [taylor]: Taking taylor expansion of y in y
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (/ 1 1) into 1
3.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.911 * [taylor]: Taking taylor expansion of x in y
3.911 * [backup-simplify]: Simplify x into x
3.911 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.911 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
3.911 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
3.911 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
3.911 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.911 * [taylor]: Taking taylor expansion of 1/2 in x
3.911 * [backup-simplify]: Simplify 1/2 into 1/2
3.911 * [taylor]: Taking taylor expansion of x in x
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.911 * [taylor]: Taking taylor expansion of y in x
3.911 * [backup-simplify]: Simplify y into y
3.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.912 * [taylor]: Taking taylor expansion of x in x
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (/ 1 1) into 1
3.912 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
3.912 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
3.912 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
3.912 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.912 * [taylor]: Taking taylor expansion of 1/2 in x
3.912 * [backup-simplify]: Simplify 1/2 into 1/2
3.912 * [taylor]: Taking taylor expansion of x in x
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.912 * [taylor]: Taking taylor expansion of y in x
3.912 * [backup-simplify]: Simplify y into y
3.912 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.912 * [taylor]: Taking taylor expansion of x in x
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (/ 1 1) into 1
3.913 * [backup-simplify]: Simplify (+ 0 1) into 1
3.913 * [taylor]: Taking taylor expansion of 1 in y
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.913 * [backup-simplify]: Simplify (* 0 (/ 1 y)) into 0
3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.914 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [taylor]: Taking taylor expansion of 0 in y
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.914 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (/ 1 y))) into (* 1/2 (/ 1 y))
3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.915 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
3.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
3.915 * [taylor]: Taking taylor expansion of 1/2 in y
3.915 * [backup-simplify]: Simplify 1/2 into 1/2
3.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.915 * [taylor]: Taking taylor expansion of y in y
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (/ 1 1) into 1
3.916 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.916 * [backup-simplify]: Simplify 1/2 into 1/2
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (/ 1 y)))) into 0
3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.918 * [backup-simplify]: Simplify (+ 0 0) into 0
3.918 * [taylor]: Taking taylor expansion of 0 in y
3.918 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [taylor]: Taking taylor expansion of 0 in y
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
3.922 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 (- x))) (/ 1 (- y)) (/ 1 (- x))) into (fma (* -1/2 x) (/ -1 y) (/ -1 x))
3.922 * [approximate]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in (x y) around 0
3.922 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in y
3.922 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
3.923 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in y
3.923 * [taylor]: Taking taylor expansion of (* -1/2 x) in y
3.923 * [taylor]: Taking taylor expansion of -1/2 in y
3.923 * [backup-simplify]: Simplify -1/2 into -1/2
3.923 * [taylor]: Taking taylor expansion of x in y
3.923 * [backup-simplify]: Simplify x into x
3.923 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.923 * [taylor]: Taking taylor expansion of -1 in y
3.923 * [backup-simplify]: Simplify -1 into -1
3.923 * [taylor]: Taking taylor expansion of y in y
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (/ -1 1) into -1
3.927 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.927 * [taylor]: Taking taylor expansion of -1 in y
3.927 * [backup-simplify]: Simplify -1 into -1
3.927 * [taylor]: Taking taylor expansion of x in y
3.927 * [backup-simplify]: Simplify x into x
3.927 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.927 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
3.928 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
3.928 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
3.928 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
3.928 * [taylor]: Taking taylor expansion of -1/2 in x
3.928 * [backup-simplify]: Simplify -1/2 into -1/2
3.928 * [taylor]: Taking taylor expansion of x in x
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.928 * [taylor]: Taking taylor expansion of -1 in x
3.928 * [backup-simplify]: Simplify -1 into -1
3.928 * [taylor]: Taking taylor expansion of y in x
3.928 * [backup-simplify]: Simplify y into y
3.928 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.928 * [taylor]: Taking taylor expansion of -1 in x
3.928 * [backup-simplify]: Simplify -1 into -1
3.928 * [taylor]: Taking taylor expansion of x in x
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (/ -1 1) into -1
3.928 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
3.928 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
3.928 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
3.928 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
3.928 * [taylor]: Taking taylor expansion of -1/2 in x
3.929 * [backup-simplify]: Simplify -1/2 into -1/2
3.929 * [taylor]: Taking taylor expansion of x in x
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.929 * [taylor]: Taking taylor expansion of -1 in x
3.929 * [backup-simplify]: Simplify -1 into -1
3.929 * [taylor]: Taking taylor expansion of y in x
3.929 * [backup-simplify]: Simplify y into y
3.929 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.929 * [taylor]: Taking taylor expansion of -1 in x
3.929 * [backup-simplify]: Simplify -1 into -1
3.929 * [taylor]: Taking taylor expansion of x in x
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (/ -1 1) into -1
3.929 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.929 * [taylor]: Taking taylor expansion of -1 in y
3.929 * [backup-simplify]: Simplify -1 into -1
3.930 * [backup-simplify]: Simplify (* -1/2 0) into 0
3.930 * [backup-simplify]: Simplify (* 0 (/ -1 y)) into 0
3.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [taylor]: Taking taylor expansion of 0 in y
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify -1 into -1
3.931 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.931 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
3.932 * [backup-simplify]: Simplify (+ (* 0 0) (* -1/2 (/ -1 y))) into (* 1/2 (/ 1 y))
3.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
3.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
3.932 * [taylor]: Taking taylor expansion of 1/2 in y
3.932 * [backup-simplify]: Simplify 1/2 into 1/2
3.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.932 * [taylor]: Taking taylor expansion of y in y
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.933 * [backup-simplify]: Simplify 1/2 into 1/2
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.934 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (/ -1 y)))) into 0
3.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.935 * [taylor]: Taking taylor expansion of 0 in y
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.937 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0
3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [taylor]: Taking taylor expansion of 0 in y
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
3.939 * * * [progress]: simplifying candidates
3.939 * [simplify]: Simplifying:
  (expm1 (fma (/ 1/2 x) y x))
  (log1p (fma (/ 1/2 x) y x))
  (* (/ 1/2 x) y)
  (log (fma (/ 1/2 x) y x))
  (exp (fma (/ 1/2 x) y x))
  (* (cbrt (fma (/ 1/2 x) y x)) (cbrt (fma (/ 1/2 x) y x)))
  (cbrt (fma (/ 1/2 x) y x))
  (* (* (fma (/ 1/2 x) y x) (fma (/ 1/2 x) y x)) (fma (/ 1/2 x) y x))
  (sqrt (fma (/ 1/2 x) y x))
  (sqrt (fma (/ 1/2 x) y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
3.939 * * [simplify]: iteration 0: 18 enodes
3.942 * * [simplify]: iteration 1: 24 enodes
3.946 * * [simplify]: iteration 2: 48 enodes
3.957 * * [simplify]: iteration 3: 162 enodes
4.054 * * [simplify]: iteration 4: 660 enodes
5.340 * * [simplify]: iteration 5: 2894 enodes
6.515 * * [simplify]: iteration complete: 5000 enodes
6.515 * * [simplify]: Extracting #0: cost 10 inf + 0
6.515 * * [simplify]: Extracting #1: cost 101 inf + 0
6.519 * * [simplify]: Extracting #2: cost 324 inf + 2339
6.545 * * [simplify]: Extracting #3: cost 141 inf + 39673
6.614 * * [simplify]: Extracting #4: cost 23 inf + 68326
6.710 * * [simplify]: Extracting #5: cost 3 inf + 73510
6.800 * * [simplify]: Extracting #6: cost 0 inf + 74577
6.896 * [simplify]: Simplified to:
  (expm1 (fma y (/ 1/2 x) x))
  (log1p (fma y (/ 1/2 x) x))
  (* (/ y x) 1/2)
  (log (fma y (/ 1/2 x) x))
  (exp (fma y (/ 1/2 x) x))
  (* (cbrt (fma y (/ 1/2 x) x)) (cbrt (fma y (/ 1/2 x) x)))
  (cbrt (fma y (/ 1/2 x) x))
  (* (fma y (/ 1/2 x) x) (* (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x)))
  (sqrt (fma y (/ 1/2 x) x))
  (sqrt (fma y (/ 1/2 x) x))
  (fma y (/ 1/2 x) x)
  (fma y (/ 1/2 x) x)
  (fma y (/ 1/2 x) x)
6.896 * * * [progress]: adding candidates to table
6.968 * [progress]: [Phase 3 of 3] Extracting.
6.968 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
6.969 * * * [regime-changes]: Trying 2 branch expressions: (y x)
6.969 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
7.073 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
7.123 * * * [regime]: Found split indices: #<option (#s(si 1 54) #s(si 2 199) #s(si 0 255))>
7.124 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
7.179 * [regimes]: Found splitpoints: (#s(sp 1 x -8.430368293804642e+153) #s(sp 2 x 2.2470376765740678e+83) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
7.179 * [simplify]: Simplifying:
  (if (<= x -8.430368293804642e+153) (- (/ (* y -1/2) x) x) (if (<= x 2.2470376765740678e+83) (sqrt (fma x x y)) (fma (/ 1/2 x) y x)))
7.179 * * [simplify]: iteration 0: 17 enodes
7.180 * * [simplify]: iteration 1: 18 enodes
7.180 * * [simplify]: iteration complete: 18 enodes
7.180 * * [simplify]: Extracting #0: cost 1 inf + 0
7.180 * * [simplify]: Extracting #1: cost 4 inf + 0
7.180 * * [simplify]: Extracting #2: cost 10 inf + 0
7.180 * * [simplify]: Extracting #3: cost 13 inf + 2
7.180 * * [simplify]: Extracting #4: cost 11 inf + 138
7.180 * * [simplify]: Extracting #5: cost 5 inf + 378
7.181 * * [simplify]: Extracting #6: cost 1 inf + 1006
7.181 * * [simplify]: Extracting #7: cost 0 inf + 1582
7.181 * [simplify]: Simplified to:
  (if (<= x -8.430368293804642e+153) (- (/ (* y -1/2) x) x) (if (<= x 2.2470376765740678e+83) (sqrt (fma x x y)) (fma (/ 1/2 x) y x)))
8.592 * [regime-testing]: Baseline error score: 21.12651581447681
8.600 * [regime-testing]: Oracle error score: 0.002750343792974122
8.633 * [regime-testing]: End program error score: 0.23135607891108817
8.774 * [regime-testing]: Target error score: 0.3915258773579811