31.848 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.019 * * * [progress]: [2/2] Setting up program.
0.022 * [progress]: [Phase 2 of 3] Improving.
0.022 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.022 * * [simplify]: iteration 0: 5 enodes
0.023 * * [simplify]: iteration 1: 7 enodes
0.024 * * [simplify]: iteration complete: 7 enodes
0.024 * * [simplify]: Extracting #0: cost 1 inf + 0
0.024 * * [simplify]: Extracting #1: cost 2 inf + 0
0.024 * * [simplify]: Extracting #2: cost 5 inf + 0
0.024 * * [simplify]: Extracting #3: cost 3 inf + 2
0.025 * * [simplify]: Extracting #4: cost 0 inf + 197
0.025 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.029 * * [progress]: iteration 1 / 4
0.029 * * * [progress]: picking best candidate
0.033 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.033 * * * [progress]: localizing error
0.039 * * * [progress]: generating rewritten candidates
0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.041 * * * [progress]: generating series expansions
0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.041 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.042 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.042 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.042 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.042 * [taylor]: Rewrote expression to (+ (* x x) y)
0.042 * [taylor]: Taking taylor expansion of (* x x) in y
0.042 * [taylor]: Taking taylor expansion of x in y
0.042 * [backup-simplify]: Simplify x into x
0.042 * [taylor]: Taking taylor expansion of x in y
0.042 * [backup-simplify]: Simplify x into x
0.042 * [taylor]: Taking taylor expansion of y in y
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 1 into 1
0.042 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.042 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.042 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.042 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.043 * [backup-simplify]: Simplify (+ 0 1) into 1
0.043 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.043 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.043 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.043 * [taylor]: Rewrote expression to (+ (* x x) y)
0.043 * [taylor]: Taking taylor expansion of (* x x) in x
0.043 * [taylor]: Taking taylor expansion of x in x
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.043 * [taylor]: Taking taylor expansion of x in x
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.043 * [taylor]: Taking taylor expansion of y in x
0.043 * [backup-simplify]: Simplify y into y
0.043 * [backup-simplify]: Simplify (* 0 0) into 0
0.043 * [backup-simplify]: Simplify (+ 0 y) into y
0.044 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.044 * [backup-simplify]: Simplify (+ 0 0) into 0
0.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.044 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.044 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.045 * [taylor]: Rewrote expression to (+ (* x x) y)
0.045 * [taylor]: Taking taylor expansion of (* x x) in x
0.045 * [taylor]: Taking taylor expansion of x in x
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.045 * [taylor]: Taking taylor expansion of x in x
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.045 * [taylor]: Taking taylor expansion of y in x
0.045 * [backup-simplify]: Simplify y into y
0.045 * [backup-simplify]: Simplify (* 0 0) into 0
0.045 * [backup-simplify]: Simplify (+ 0 y) into y
0.045 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.045 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.046 * [backup-simplify]: Simplify (+ 0 0) into 0
0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.046 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.046 * [taylor]: Taking taylor expansion of y in y
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify 1 into 1
0.046 * [backup-simplify]: Simplify (sqrt 0) into 0
0.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [taylor]: Taking taylor expansion of 0 in y
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.048 * [backup-simplify]: Simplify (+ 1 0) into 1
0.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.048 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.048 * [taylor]: Taking taylor expansion of 1/2 in y
0.048 * [backup-simplify]: Simplify 1/2 into 1/2
0.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [backup-simplify]: Simplify (/ 1 1) into 1
0.049 * [backup-simplify]: Simplify (sqrt 0) into 0
0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.051 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.051 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.053 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.054 * [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))))))
0.054 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.054 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.054 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.054 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.054 * [taylor]: Taking taylor expansion of x in y
0.054 * [backup-simplify]: Simplify x into x
0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.054 * [taylor]: Taking taylor expansion of x in y
0.054 * [backup-simplify]: Simplify x into x
0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y
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
0.061 * [backup-simplify]: Simplify (/ 1 1) into 1
0.061 * [backup-simplify]: Simplify (+ 0 1) into 1
0.062 * [backup-simplify]: Simplify (sqrt 0) into 0
0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.063 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.063 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.063 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.063 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.063 * [taylor]: Taking taylor expansion of x in x
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 x) in x
0.063 * [taylor]: Taking taylor expansion of x in x
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1 1) into 1
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.064 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (+ 1 0) into 1
0.065 * [backup-simplify]: Simplify (sqrt 1) into 1
0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.067 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.067 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.067 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (/ 1 1) into 1
0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (/ 1 1) into 1
0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.068 * [backup-simplify]: Simplify y into y
0.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.068 * [backup-simplify]: Simplify (* 1 1) into 1
0.068 * [backup-simplify]: Simplify (+ 1 0) into 1
0.069 * [backup-simplify]: Simplify (sqrt 1) into 1
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.071 * [taylor]: Taking taylor expansion of 1 in y
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.073 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.073 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.073 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.074 * [taylor]: Taking taylor expansion of 1/2 in y
0.074 * [backup-simplify]: Simplify 1/2 into 1/2
0.074 * [taylor]: Taking taylor expansion of y in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.074 * [backup-simplify]: Simplify 1/2 into 1/2
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.080 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of -1/8 in y
0.080 * [backup-simplify]: Simplify -1/8 into -1/8
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.081 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.082 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.082 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.082 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.082 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.082 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.083 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.083 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.083 * [taylor]: Taking taylor expansion of -1 in y
0.083 * [backup-simplify]: Simplify -1 into -1
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [backup-simplify]: Simplify x into x
0.083 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.083 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.083 * [taylor]: Taking taylor expansion of -1 in y
0.083 * [backup-simplify]: Simplify -1 into -1
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [backup-simplify]: Simplify x into x
0.083 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.083 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.083 * [taylor]: Taking taylor expansion of -1 in y
0.083 * [backup-simplify]: Simplify -1 into -1
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (/ -1 1) into -1
0.084 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.084 * [backup-simplify]: Simplify (sqrt 0) into 0
0.085 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.085 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.085 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.085 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.085 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.085 * [taylor]: Taking taylor expansion of -1 in x
0.085 * [backup-simplify]: Simplify -1 into -1
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ -1 1) into -1
0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.086 * [taylor]: Taking taylor expansion of -1 in x
0.086 * [backup-simplify]: Simplify -1 into -1
0.086 * [taylor]: Taking taylor expansion of x in x
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ -1 1) into -1
0.086 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.086 * [taylor]: Taking taylor expansion of -1 in x
0.086 * [backup-simplify]: Simplify -1 into -1
0.086 * [taylor]: Taking taylor expansion of y in x
0.086 * [backup-simplify]: Simplify y into y
0.086 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.087 * [backup-simplify]: Simplify (* -1 -1) into 1
0.087 * [backup-simplify]: Simplify (+ 1 0) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.090 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.090 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.090 * [taylor]: Taking taylor expansion of -1 in x
0.090 * [backup-simplify]: Simplify -1 into -1
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (/ -1 1) into -1
0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.090 * [taylor]: Taking taylor expansion of -1 in x
0.090 * [backup-simplify]: Simplify -1 into -1
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ -1 1) into -1
0.091 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.091 * [taylor]: Taking taylor expansion of -1 in x
0.091 * [backup-simplify]: Simplify -1 into -1
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.091 * [backup-simplify]: Simplify (* -1 -1) into 1
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y))
0.097 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.097 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.097 * [taylor]: Taking taylor expansion of -1/2 in y
0.097 * [backup-simplify]: Simplify -1/2 into -1/2
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 (/ -1/2 1) into -1/2
0.097 * [backup-simplify]: Simplify -1/2 into -1/2
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.099 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.102 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.103 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.103 * [taylor]: Taking taylor expansion of -1/8 in y
0.103 * [backup-simplify]: Simplify -1/8 into -1/8
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.103 * [taylor]: Taking taylor expansion of y in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.105 * * * [progress]: simplifying candidates
0.106 * [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))))
0.106 * * [simplify]: iteration 0: 37 enodes
0.114 * * [simplify]: iteration 1: 76 enodes
0.134 * * [simplify]: iteration 2: 174 enodes
0.184 * * [simplify]: iteration 3: 435 enodes
0.452 * * [simplify]: iteration 4: 1161 enodes
1.913 * * [simplify]: iteration 5: 3233 enodes
3.791 * * [simplify]: iteration complete: 5004 enodes
3.791 * * [simplify]: Extracting #0: cost 16 inf + 0
3.792 * * [simplify]: Extracting #1: cost 207 inf + 2
3.800 * * [simplify]: Extracting #2: cost 393 inf + 4816
3.822 * * [simplify]: Extracting #3: cost 234 inf + 29734
3.854 * * [simplify]: Extracting #4: cost 25 inf + 51580
3.900 * * [simplify]: Extracting #5: cost 1 inf + 55092
3.942 * * [simplify]: Extracting #6: cost 0 inf + 55400
3.981 * [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)
3.982 * * * [progress]: adding candidates to table
4.081 * * [progress]: iteration 2 / 4
4.081 * * * [progress]: picking best candidate
4.093 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* y -1/2) x) x))>
4.093 * * * [progress]: localizing error
4.110 * * * [progress]: generating rewritten candidates
4.110 * * * [progress]: generating series expansions
4.110 * * * [progress]: simplifying candidates
4.110 * [simplify]: Simplifying:
  
4.110 * * [simplify]: iteration 0: 0 enodes
4.110 * * [simplify]: iteration complete: 0 enodes
4.110 * * [simplify]: Extracting #0: cost 0 inf + 0
4.110 * [simplify]: Simplified to:
  
4.110 * * * [progress]: adding candidates to table
4.111 * * [progress]: iteration 3 / 4
4.111 * * * [progress]: picking best candidate
4.118 * * * * [pick]: Picked  #<alt (λ (x y) (fma (/ 1/2 x) y x))>
4.119 * * * [progress]: localizing error
4.130 * * * [progress]: generating rewritten candidates
4.130 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.131 * * * [progress]: generating series expansions
4.131 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.131 * [backup-simplify]: Simplify (fma (/ 1/2 x) y x) into (fma (/ 1/2 x) y x)
4.131 * [approximate]: Taking taylor expansion of (fma (/ 1/2 x) y x) in (x y) around 0
4.131 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in y
4.131 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
4.131 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in y
4.131 * [taylor]: Taking taylor expansion of (/ 1/2 x) in y
4.131 * [taylor]: Taking taylor expansion of 1/2 in y
4.131 * [backup-simplify]: Simplify 1/2 into 1/2
4.131 * [taylor]: Taking taylor expansion of x in y
4.131 * [backup-simplify]: Simplify x into x
4.131 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x)
4.131 * [taylor]: Taking taylor expansion of y in y
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [taylor]: Taking taylor expansion of x in y
4.131 * [backup-simplify]: Simplify x into x
4.131 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
4.131 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
4.131 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
4.131 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.131 * [taylor]: Taking taylor expansion of 1/2 in x
4.131 * [backup-simplify]: Simplify 1/2 into 1/2
4.131 * [taylor]: Taking taylor expansion of x in x
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.132 * [taylor]: Taking taylor expansion of y in x
4.132 * [backup-simplify]: Simplify y into y
4.132 * [taylor]: Taking taylor expansion of x in x
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.132 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
4.132 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
4.132 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
4.132 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.132 * [taylor]: Taking taylor expansion of 1/2 in x
4.132 * [backup-simplify]: Simplify 1/2 into 1/2
4.132 * [taylor]: Taking taylor expansion of x in x
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.132 * [taylor]: Taking taylor expansion of y in x
4.132 * [backup-simplify]: Simplify y into y
4.132 * [taylor]: Taking taylor expansion of x in x
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
4.133 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y)
4.133 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
4.133 * [taylor]: Taking taylor expansion of 1/2 in y
4.133 * [backup-simplify]: Simplify 1/2 into 1/2
4.133 * [taylor]: Taking taylor expansion of y in y
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
4.134 * [backup-simplify]: Simplify (+ 0 0) into 0
4.134 * [taylor]: Taking taylor expansion of 0 in y
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.135 * [backup-simplify]: Simplify 1/2 into 1/2
4.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
4.136 * [backup-simplify]: Simplify (+ 0 1) into 1
4.136 * [taylor]: Taking taylor expansion of 1 in y
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [taylor]: Taking taylor expansion of 0 in y
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
4.139 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 x)) (/ 1 y) (/ 1 x)) into (fma (* 1/2 x) (/ 1 y) (/ 1 x))
4.139 * [approximate]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in (x y) around 0
4.139 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in y
4.140 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
4.140 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in y
4.140 * [taylor]: Taking taylor expansion of (* 1/2 x) in y
4.140 * [taylor]: Taking taylor expansion of 1/2 in y
4.140 * [backup-simplify]: Simplify 1/2 into 1/2
4.140 * [taylor]: Taking taylor expansion of x in y
4.140 * [backup-simplify]: Simplify x into x
4.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.140 * [taylor]: Taking taylor expansion of y in y
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 1 into 1
4.140 * [backup-simplify]: Simplify (/ 1 1) into 1
4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.140 * [taylor]: Taking taylor expansion of x in y
4.140 * [backup-simplify]: Simplify x into x
4.140 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.140 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
4.140 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
4.140 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
4.140 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.140 * [taylor]: Taking taylor expansion of 1/2 in x
4.140 * [backup-simplify]: Simplify 1/2 into 1/2
4.140 * [taylor]: Taking taylor expansion of x in x
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 1 into 1
4.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.140 * [taylor]: Taking taylor expansion of y in x
4.140 * [backup-simplify]: Simplify y into y
4.140 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.140 * [taylor]: Taking taylor expansion of x in x
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (/ 1 1) into 1
4.141 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
4.141 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
4.141 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
4.141 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.141 * [taylor]: Taking taylor expansion of 1/2 in x
4.141 * [backup-simplify]: Simplify 1/2 into 1/2
4.141 * [taylor]: Taking taylor expansion of x in x
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.141 * [taylor]: Taking taylor expansion of y in x
4.141 * [backup-simplify]: Simplify y into y
4.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.141 * [taylor]: Taking taylor expansion of x in x
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (/ 1 1) into 1
4.142 * [backup-simplify]: Simplify (+ 0 1) into 1
4.142 * [taylor]: Taking taylor expansion of 1 in y
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.142 * [backup-simplify]: Simplify (* 0 (/ 1 y)) into 0
4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (+ 0 0) into 0
4.143 * [taylor]: Taking taylor expansion of 0 in y
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.143 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (/ 1 y))) into (* 1/2 (/ 1 y))
4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.144 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
4.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.144 * [taylor]: Taking taylor expansion of 1/2 in y
4.144 * [backup-simplify]: Simplify 1/2 into 1/2
4.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.144 * [taylor]: Taking taylor expansion of y in y
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 1 into 1
4.145 * [backup-simplify]: Simplify (/ 1 1) into 1
4.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.145 * [backup-simplify]: Simplify 1/2 into 1/2
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (/ 1 y)))) into 0
4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.147 * [backup-simplify]: Simplify (+ 0 0) into 0
4.147 * [taylor]: Taking taylor expansion of 0 in y
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.151 * [backup-simplify]: Simplify (+ 0 0) into 0
4.151 * [taylor]: Taking taylor expansion of 0 in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
4.151 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 (- x))) (/ 1 (- y)) (/ 1 (- x))) into (fma (* -1/2 x) (/ -1 y) (/ -1 x))
4.151 * [approximate]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in (x y) around 0
4.151 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in y
4.151 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
4.151 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in y
4.151 * [taylor]: Taking taylor expansion of (* -1/2 x) in y
4.151 * [taylor]: Taking taylor expansion of -1/2 in y
4.151 * [backup-simplify]: Simplify -1/2 into -1/2
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.151 * [taylor]: Taking taylor expansion of -1 in y
4.151 * [backup-simplify]: Simplify -1 into -1
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ -1 1) into -1
4.152 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.152 * [taylor]: Taking taylor expansion of -1 in y
4.152 * [backup-simplify]: Simplify -1 into -1
4.152 * [taylor]: Taking taylor expansion of x in y
4.152 * [backup-simplify]: Simplify x into x
4.152 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.152 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
4.152 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
4.152 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
4.152 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
4.152 * [taylor]: Taking taylor expansion of -1/2 in x
4.152 * [backup-simplify]: Simplify -1/2 into -1/2
4.152 * [taylor]: Taking taylor expansion of x in x
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 1 into 1
4.152 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.152 * [taylor]: Taking taylor expansion of -1 in x
4.152 * [backup-simplify]: Simplify -1 into -1
4.152 * [taylor]: Taking taylor expansion of y in x
4.152 * [backup-simplify]: Simplify y into y
4.152 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.152 * [taylor]: Taking taylor expansion of -1 in x
4.152 * [backup-simplify]: Simplify -1 into -1
4.152 * [taylor]: Taking taylor expansion of x in x
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ -1 1) into -1
4.153 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
4.153 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
4.153 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
4.153 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
4.153 * [taylor]: Taking taylor expansion of -1/2 in x
4.153 * [backup-simplify]: Simplify -1/2 into -1/2
4.153 * [taylor]: Taking taylor expansion of x in x
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.153 * [taylor]: Taking taylor expansion of -1 in x
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of y in x
4.153 * [backup-simplify]: Simplify y into y
4.153 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.153 * [taylor]: Taking taylor expansion of -1 in x
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of x in x
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ -1 1) into -1
4.154 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.154 * [taylor]: Taking taylor expansion of -1 in y
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [backup-simplify]: Simplify (* -1/2 0) into 0
4.154 * [backup-simplify]: Simplify (* 0 (/ -1 y)) into 0
4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [taylor]: Taking taylor expansion of 0 in y
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
4.156 * [backup-simplify]: Simplify (+ (* 0 0) (* -1/2 (/ -1 y))) into (* 1/2 (/ 1 y))
4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.157 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
4.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.157 * [taylor]: Taking taylor expansion of 1/2 in y
4.157 * [backup-simplify]: Simplify 1/2 into 1/2
4.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.157 * [taylor]: Taking taylor expansion of y in y
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify 1 into 1
4.157 * [backup-simplify]: Simplify (/ 1 1) into 1
4.157 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.157 * [backup-simplify]: Simplify 1/2 into 1/2
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.159 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (/ -1 y)))) into 0
4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.161 * [backup-simplify]: Simplify (+ 0 0) into 0
4.161 * [taylor]: Taking taylor expansion of 0 in y
4.161 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.164 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0
4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [taylor]: Taking taylor expansion of 0 in y
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
4.168 * * * [progress]: simplifying candidates
4.168 * [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)))
4.169 * * [simplify]: iteration 0: 18 enodes
4.174 * * [simplify]: iteration 1: 24 enodes
4.178 * * [simplify]: iteration 2: 48 enodes
4.189 * * [simplify]: iteration 3: 162 enodes
4.290 * * [simplify]: iteration 4: 660 enodes
5.472 * * [simplify]: iteration 5: 2894 enodes
6.480 * * [simplify]: iteration complete: 5000 enodes
6.480 * * [simplify]: Extracting #0: cost 10 inf + 0
6.481 * * [simplify]: Extracting #1: cost 101 inf + 0
6.485 * * [simplify]: Extracting #2: cost 324 inf + 2339
6.506 * * [simplify]: Extracting #3: cost 141 inf + 39673
6.580 * * [simplify]: Extracting #4: cost 23 inf + 68326
6.680 * * [simplify]: Extracting #5: cost 3 inf + 73510
6.767 * * [simplify]: Extracting #6: cost 0 inf + 74577
6.874 * [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)
6.874 * * * [progress]: adding candidates to table
6.938 * [progress]: [Phase 3 of 3] Extracting.
6.938 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))>)
6.938 * * * [regime-changes]: Trying 2 branch expressions: (y x)
6.938 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))>)
6.987 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))>)
7.047 * * * [regime]: Found split indices: #<option (#s(si 2 54) #s(si 1 199) #s(si 0 255))>
7.048 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma (/ 1/2 x) y x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))>)
7.116 * [regimes]: Found splitpoints: (#s(sp 2 x -8.430368293804642e+153) #s(sp 1 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) (sqrt (fma x x y)))> #<alt (λ (x y) (- (/ (* y -1/2) x) x))>)
7.117 * [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)))
7.117 * * [simplify]: iteration 0: 17 enodes
7.118 * * [simplify]: iteration 1: 18 enodes
7.119 * * [simplify]: iteration complete: 18 enodes
7.119 * * [simplify]: Extracting #0: cost 1 inf + 0
7.119 * * [simplify]: Extracting #1: cost 4 inf + 0
7.119 * * [simplify]: Extracting #2: cost 10 inf + 0
7.120 * * [simplify]: Extracting #3: cost 13 inf + 2
7.120 * * [simplify]: Extracting #4: cost 11 inf + 138
7.120 * * [simplify]: Extracting #5: cost 5 inf + 378
7.120 * * [simplify]: Extracting #6: cost 1 inf + 1006
7.120 * * [simplify]: Extracting #7: cost 0 inf + 1582
7.121 * [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)))
8.675 * [regime-testing]: Baseline error score: 21.12651581447681
8.687 * [regime-testing]: Oracle error score: 0.002750343792974122
8.704 * [regime-testing]: End program error score: 0.23135607891108817
8.876 * [regime-testing]: Target error score: 0.3915258773579811