19.428 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.024 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.024 * * [simplify]: iteration 0: 5 enodes
0.026 * * [simplify]: iteration 1: 7 enodes
0.027 * * [simplify]: iteration complete: 7 enodes
0.027 * * [simplify]: Extracting #0: cost 1 inf + 0
0.027 * * [simplify]: Extracting #1: cost 2 inf + 0
0.027 * * [simplify]: Extracting #2: cost 5 inf + 0
0.027 * * [simplify]: Extracting #3: cost 3 inf + 2
0.028 * * [simplify]: Extracting #4: cost 0 inf + 197
0.028 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.034 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.034 * * * [progress]: localizing error
0.041 * * * [progress]: generating rewritten candidates
0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.042 * * * [progress]: generating series expansions
0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.043 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.043 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.043 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.043 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.043 * [taylor]: Rewrote expression to (+ (* x x) y)
0.043 * [taylor]: Taking taylor expansion of (* x x) in y
0.043 * [taylor]: Taking taylor expansion of x in y
0.043 * [backup-simplify]: Simplify x into x
0.043 * [taylor]: Taking taylor expansion of x in y
0.043 * [backup-simplify]: Simplify x into x
0.043 * [taylor]: Taking taylor expansion of y in y
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.043 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.043 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.043 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.043 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.049 * [backup-simplify]: Simplify (+ 0 1) into 1
0.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.049 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.049 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.049 * [taylor]: Rewrote expression to (+ (* x x) y)
0.049 * [taylor]: Taking taylor expansion of (* x x) in x
0.049 * [taylor]: Taking taylor expansion of x in x
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [taylor]: Taking taylor expansion of x in x
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [taylor]: Taking taylor expansion of y in x
0.049 * [backup-simplify]: Simplify y into y
0.050 * [backup-simplify]: Simplify (* 0 0) into 0
0.050 * [backup-simplify]: Simplify (+ 0 y) into y
0.050 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.050 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.050 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.050 * [taylor]: Rewrote expression to (+ (* x x) y)
0.050 * [taylor]: Taking taylor expansion of (* x x) in x
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of y in x
0.050 * [backup-simplify]: Simplify y into y
0.051 * [backup-simplify]: Simplify (* 0 0) into 0
0.051 * [backup-simplify]: Simplify (+ 0 y) into y
0.051 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.051 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.052 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.052 * [taylor]: Taking taylor expansion of y in y
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [backup-simplify]: Simplify (sqrt 0) into 0
0.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.054 * [backup-simplify]: Simplify (+ 1 0) into 1
0.055 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.055 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.055 * [taylor]: Taking taylor expansion of 1/2 in y
0.055 * [backup-simplify]: Simplify 1/2 into 1/2
0.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (/ 1 1) into 1
0.055 * [backup-simplify]: Simplify (sqrt 0) into 0
0.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.057 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.057 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.057 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.059 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.060 * [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))))))
0.060 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.060 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.060 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.060 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [backup-simplify]: Simplify x into x
0.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [backup-simplify]: Simplify x into x
0.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y
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 (/ 1 1) into 1
0.060 * [backup-simplify]: Simplify (+ 0 1) into 1
0.061 * [backup-simplify]: Simplify (sqrt 0) into 0
0.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.062 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.062 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.062 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.062 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.062 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.062 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.063 * [backup-simplify]: Simplify y into y
0.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.063 * [backup-simplify]: Simplify (* 1 1) into 1
0.063 * [backup-simplify]: Simplify (+ 1 0) into 1
0.063 * [backup-simplify]: Simplify (sqrt 1) into 1
0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.065 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.065 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (+ 1 0) into 1
0.067 * [backup-simplify]: Simplify (sqrt 1) into 1
0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.069 * [taylor]: Taking taylor expansion of 1 in y
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.071 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.071 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.071 * [taylor]: Taking taylor expansion of 1/2 in y
0.071 * [backup-simplify]: Simplify 1/2 into 1/2
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.072 * [backup-simplify]: Simplify 1/2 into 1/2
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of -1/8 in y
0.078 * [backup-simplify]: Simplify -1/8 into -1/8
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.080 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.080 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.080 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.080 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.080 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.080 * [taylor]: Taking taylor expansion of -1 in y
0.080 * [backup-simplify]: Simplify -1 into -1
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [backup-simplify]: Simplify x into x
0.080 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.080 * [taylor]: Taking taylor expansion of -1 in y
0.080 * [backup-simplify]: Simplify -1 into -1
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [backup-simplify]: Simplify x into x
0.080 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.080 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.080 * [taylor]: Taking taylor expansion of -1 in y
0.080 * [backup-simplify]: Simplify -1 into -1
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
0.080 * [backup-simplify]: Simplify (/ -1 1) into -1
0.081 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.081 * [backup-simplify]: Simplify (sqrt 0) into 0
0.082 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.082 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.082 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.082 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.082 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.082 * [taylor]: Taking taylor expansion of -1 in x
0.082 * [backup-simplify]: Simplify -1 into -1
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (/ -1 1) into -1
0.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.082 * [taylor]: Taking taylor expansion of -1 in x
0.082 * [backup-simplify]: Simplify -1 into -1
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (/ -1 1) into -1
0.083 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.083 * [taylor]: Taking taylor expansion of -1 in x
0.083 * [backup-simplify]: Simplify -1 into -1
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.083 * [backup-simplify]: Simplify (* -1 -1) into 1
0.084 * [backup-simplify]: Simplify (+ 1 0) into 1
0.084 * [backup-simplify]: Simplify (sqrt 1) into 1
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.087 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.087 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.087 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.087 * [taylor]: Taking taylor expansion of -1 in x
0.087 * [backup-simplify]: Simplify -1 into -1
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (/ -1 1) into -1
0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.088 * [taylor]: Taking taylor expansion of -1 in x
0.088 * [backup-simplify]: Simplify -1 into -1
0.088 * [taylor]: Taking taylor expansion of x in x
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (/ -1 1) into -1
0.088 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.088 * [taylor]: Taking taylor expansion of -1 in x
0.088 * [backup-simplify]: Simplify -1 into -1
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [backup-simplify]: Simplify y into y
0.088 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.089 * [backup-simplify]: Simplify (* -1 -1) into 1
0.089 * [backup-simplify]: Simplify (+ 1 0) into 1
0.089 * [backup-simplify]: Simplify (sqrt 1) into 1
0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.093 * [taylor]: Taking taylor expansion of 1 in y
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.094 * [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
0.095 * [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
0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.100 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.100 * [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
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [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
0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.104 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of -1/8 in y
0.104 * [backup-simplify]: Simplify -1/8 into -1/8
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.106 * * * [progress]: simplifying candidates
0.106 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (sqrt (fma x x y)))))>
0.106 * * * * [progress]: [ 2 / 19 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (sqrt (fma x x y)))))>
0.106 * * * * [progress]: [ 3 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (fma x x y) 1/2))>
0.106 * * * * [progress]: [ 4 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (sqrt (fma x x y)) 1))>
0.106 * * * * [progress]: [ 5 / 19 ] simplifiying candidate #<alt (λ (x y) (exp (log (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 6 / 19 ] simplifiying candidate #<alt (λ (x y) (log (exp (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 7 / 19 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 8 / 19 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 9 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y)))))>
0.107 * * * * [progress]: [ 10 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 11 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt 1) (sqrt (fma x x y))))>
0.107 * * * * [progress]: [ 12 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (fma x x y) (/ 1 2)))>
0.107 * * * * [progress]: [ 13 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 14 / 19 ] simplifiying candidate #<alt (λ (x y) (fabs (sqrt (fma x x y))))>
0.107 * * * * [progress]: [ 15 / 19 ] simplifiying candidate #<alt (λ (x y) (* 1 (sqrt (fma x x y))))>
0.107 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (sqrt (fma x x y)))))>
0.107 * * * * [progress]: [ 17 / 19 ] simplifiying candidate #<alt (λ (x y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))))>
0.107 * * * * [progress]: [ 18 / 19 ] simplifiying candidate #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.107 * * * * [progress]: [ 19 / 19 ] simplifiying candidate #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.108 * [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)))
  (real->posit16 (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))))
0.108 * * [simplify]: iteration 0: 38 enodes
0.121 * * [simplify]: iteration 1: 77 enodes
0.137 * * [simplify]: iteration 2: 175 enodes
0.189 * * [simplify]: iteration 3: 437 enodes
0.433 * * [simplify]: iteration 4: 1109 enodes
0.798 * * [simplify]: iteration complete: 2001 enodes
0.798 * * [simplify]: Extracting #0: cost 17 inf + 0
0.798 * * [simplify]: Extracting #1: cost 100 inf + 2
0.800 * * [simplify]: Extracting #2: cost 230 inf + 2407
0.805 * * [simplify]: Extracting #3: cost 102 inf + 18196
0.820 * * [simplify]: Extracting #4: cost 9 inf + 28897
0.837 * * [simplify]: Extracting #5: cost 1 inf + 30167
0.851 * * [simplify]: Extracting #6: cost 0 inf + 30516
0.862 * [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)))
  (real->posit16 (sqrt (fma x x y)))
  (- (* (* x +nan.0) x) (fma (* +nan.0 y) y (* +nan.0 y)))
  (fma 1/2 (/ y x) x)
  (- (* (/ y x) -1/2) x)
0.862 * * * [progress]: adding candidates to table
0.926 * * [progress]: iteration 2 / 4
0.926 * * * [progress]: picking best candidate
0.933 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.933 * * * [progress]: localizing error
0.947 * * * [progress]: generating rewritten candidates
0.947 * * * [progress]: generating series expansions
0.947 * * * [progress]: simplifying candidates
0.948 * [simplify]: Simplifying:
  
0.948 * * [simplify]: iteration 0: 0 enodes
0.948 * * [simplify]: iteration complete: 0 enodes
0.948 * * [simplify]: Extracting #0: cost 0 inf + 0
0.948 * [simplify]: Simplified to:
  
0.948 * * * [progress]: adding candidates to table
0.949 * * [progress]: iteration 3 / 4
0.949 * * * [progress]: picking best candidate
0.952 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
0.952 * * * [progress]: localizing error
0.968 * * * [progress]: generating rewritten candidates
0.968 * * * [progress]: generating series expansions
0.968 * * * [progress]: simplifying candidates
0.968 * [simplify]: Simplifying:
  
0.968 * * [simplify]: iteration 0: 0 enodes
0.968 * * [simplify]: iteration complete: 0 enodes
0.968 * * [simplify]: Extracting #0: cost 0 inf + 0
0.968 * [simplify]: Simplified to:
  
0.968 * * * [progress]: adding candidates to table
0.969 * [progress]: [Phase 3 of 3] Extracting.
0.969 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
0.969 * * * [regime-changes]: Trying 2 branch expressions: (y x)
0.969 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
1.028 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
1.075 * * * [regime]: Found split indices: #<option (#s(si 2 37) #s(si 1 193) #s(si 0 255))>
1.076 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
1.144 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3377295553932065e+154) #s(sp 1 x 1.7307959125595267e+118) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
1.145 * [simplify]: Simplifying:
  (if (<= x -1.3377295553932065e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.7307959125595267e+118) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
1.145 * * [simplify]: iteration 0: 16 enodes
1.147 * * [simplify]: iteration 1: 17 enodes
1.148 * * [simplify]: iteration complete: 17 enodes
1.148 * * [simplify]: Extracting #0: cost 1 inf + 0
1.148 * * [simplify]: Extracting #1: cost 4 inf + 0
1.148 * * [simplify]: Extracting #2: cost 10 inf + 0
1.148 * * [simplify]: Extracting #3: cost 13 inf + 2
1.148 * * [simplify]: Extracting #4: cost 9 inf + 139
1.148 * * [simplify]: Extracting #5: cost 8 inf + 140
1.148 * * [simplify]: Extracting #6: cost 2 inf + 640
1.149 * * [simplify]: Extracting #7: cost 0 inf + 1500
1.149 * [simplify]: Simplified to:
  (if (<= x -1.3377295553932065e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.7307959125595267e+118) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
2.297 * [regime-testing]: Baseline error score: 19.726212086992952
2.301 * [regime-testing]: Oracle error score: 0.0015001875234404302
2.308 * [regime-testing]: End program error score: 0.06822236077917442
2.387 * [regime-testing]: Target error score: 0.4354633552426045