15.080 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.019 * * * [progress]: [2/2] Setting up program.
0.021 * [progress]: [Phase 2 of 3] Improving.
0.021 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.024 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.025 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.025 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.026 * * [progress]: iteration 1 / 4
0.026 * * * [progress]: picking best candidate
0.027 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.027 * * * [progress]: localizing error
0.031 * * * [progress]: generating rewritten candidates
0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.037 * * * [progress]: generating series expansions
0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.037 * [taylor]: Taking taylor expansion of x in y
0.037 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of y in x
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of 0 in y
0.041 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.041 * [taylor]: Taking taylor expansion of 1/2 in y
0.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.042 * [taylor]: Taking taylor expansion of y in y
0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.047 * [taylor]: Taking taylor expansion of x in y
0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.047 * [taylor]: Taking taylor expansion of y in y
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [taylor]: Taking taylor expansion of x in x
0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.049 * [taylor]: Taking taylor expansion of y in x
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.051 * [taylor]: Taking taylor expansion of x in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.054 * [taylor]: Taking taylor expansion of 1 in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.060 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.060 * [taylor]: Taking taylor expansion of 1/2 in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.065 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.065 * [taylor]: Taking taylor expansion of -1/8 in y
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.067 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.069 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.072 * [taylor]: Taking taylor expansion of x in x
0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.074 * [taylor]: Taking taylor expansion of 1 in y
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.077 * [taylor]: Taking taylor expansion of -1/2 in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of -1/8 in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.083 * * * [progress]: simplifying candidates
0.084 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.088 * * [simplify]: iteration  0 :  126  enodes  (cost  102 )
0.091 * * [simplify]: iteration  1 :  378  enodes  (cost  95 )
0.097 * * [simplify]: iteration  2 :  1147  enodes  (cost  92 )
0.124 * * [simplify]: iteration  3 :  4567  enodes  (cost  90 )
0.234 * * [simplify]: iteration  4 :  5001  enodes  (cost  90 )
0.235 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 3))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* +nan.0 (fma (- x) x (fma y y (- y))))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
0.235 * * * [progress]: adding candidates to table
0.286 * * [progress]: iteration 2 / 4
0.286 * * * [progress]: picking best candidate
0.288 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.288 * * * [progress]: localizing error
0.293 * * * [progress]: generating rewritten candidates
0.293 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.293 * * * [progress]: generating series expansions
0.293 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.294 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
0.294 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
0.294 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.294 * [taylor]: Taking taylor expansion of 1/2 in x
0.294 * [taylor]: Taking taylor expansion of (/ y x) in x
0.294 * [taylor]: Taking taylor expansion of y in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.294 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of (/ y x) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.294 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of (/ y x) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.295 * [taylor]: Taking taylor expansion of x in y
0.295 * [taylor]: Taking taylor expansion of x in x
0.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
0.295 * [taylor]: Taking taylor expansion of 1/2 in x
0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.295 * [taylor]: Taking taylor expansion of x in x
0.296 * [taylor]: Taking taylor expansion of 0 in x
0.298 * [taylor]: Taking taylor expansion of 0 in x
0.300 * [taylor]: Taking taylor expansion of 0 in x
0.301 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
0.301 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
0.302 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.302 * [taylor]: Taking taylor expansion of 1/2 in x
0.302 * [taylor]: Taking taylor expansion of (/ x y) in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.302 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.302 * [taylor]: Taking taylor expansion of 1/2 in y
0.302 * [taylor]: Taking taylor expansion of (/ x y) in y
0.302 * [taylor]: Taking taylor expansion of x in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.302 * [taylor]: Taking taylor expansion of x in y
0.302 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.302 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.302 * [taylor]: Taking taylor expansion of 1/2 in y
0.302 * [taylor]: Taking taylor expansion of (/ x y) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [taylor]: Taking taylor expansion of y in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.303 * [taylor]: Taking taylor expansion of 1/2 in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.306 * [taylor]: Taking taylor expansion of 0 in x
0.309 * [taylor]: Taking taylor expansion of 0 in x
0.313 * [taylor]: Taking taylor expansion of 0 in x
0.314 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
0.314 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
0.314 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.314 * [taylor]: Taking taylor expansion of 1/2 in x
0.314 * [taylor]: Taking taylor expansion of (/ x y) in x
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [taylor]: Taking taylor expansion of y in x
0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.314 * [taylor]: Taking taylor expansion of -1 in x
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.314 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.314 * [taylor]: Taking taylor expansion of 1/2 in y
0.314 * [taylor]: Taking taylor expansion of (/ x y) in y
0.314 * [taylor]: Taking taylor expansion of x in y
0.314 * [taylor]: Taking taylor expansion of y in y
0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.314 * [taylor]: Taking taylor expansion of -1 in y
0.314 * [taylor]: Taking taylor expansion of x in y
0.314 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.315 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.315 * [taylor]: Taking taylor expansion of 1/2 in y
0.315 * [taylor]: Taking taylor expansion of (/ x y) in y
0.315 * [taylor]: Taking taylor expansion of x in y
0.315 * [taylor]: Taking taylor expansion of y in y
0.315 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.315 * [taylor]: Taking taylor expansion of -1 in y
0.315 * [taylor]: Taking taylor expansion of x in y
0.315 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.315 * [taylor]: Taking taylor expansion of 1/2 in x
0.315 * [taylor]: Taking taylor expansion of x in x
0.316 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.316 * [taylor]: Taking taylor expansion of x in x
0.318 * [taylor]: Taking taylor expansion of 0 in x
0.322 * [taylor]: Taking taylor expansion of 0 in x
0.326 * [taylor]: Taking taylor expansion of 0 in x
0.327 * * * [progress]: simplifying candidates
0.327 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.330 * * [simplify]: iteration  0 :  21  enodes  (cost  44 )
0.332 * * [simplify]: iteration  1 :  48  enodes  (cost  39 )
0.334 * * [simplify]: iteration  2 :  156  enodes  (cost  39 )
0.338 * * [simplify]: iteration  3 :  585  enodes  (cost  39 )
0.353 * * [simplify]: iteration  4 :  2784  enodes  (cost  39 )
0.405 * * [simplify]: iteration  5 :  5001  enodes  (cost  39 )
0.406 * [simplify]: Simplified to:
   (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
0.406 * * * [progress]: adding candidates to table
0.433 * * [progress]: iteration 3 / 4
0.433 * * * [progress]: picking best candidate
0.434 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.434 * * * [progress]: localizing error
0.440 * * * [progress]: generating rewritten candidates
0.440 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.443 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2)
0.451 * * * [progress]: generating series expansions
0.451 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.451 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.451 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.451 * [taylor]: Taking taylor expansion of x in y
0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.451 * [taylor]: Taking taylor expansion of 1/2 in y
0.451 * [taylor]: Taking taylor expansion of (/ y x) in y
0.451 * [taylor]: Taking taylor expansion of y in y
0.451 * [taylor]: Taking taylor expansion of x in y
0.452 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.452 * [taylor]: Taking taylor expansion of 1/2 in x
0.452 * [taylor]: Taking taylor expansion of (/ y x) in x
0.452 * [taylor]: Taking taylor expansion of y in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.452 * [taylor]: Taking taylor expansion of 1/2 in x
0.452 * [taylor]: Taking taylor expansion of (/ y x) in x
0.452 * [taylor]: Taking taylor expansion of y in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.452 * [taylor]: Taking taylor expansion of 1/2 in y
0.452 * [taylor]: Taking taylor expansion of y in y
0.454 * [taylor]: Taking taylor expansion of 0 in y
0.456 * [taylor]: Taking taylor expansion of 1 in y
0.459 * [taylor]: Taking taylor expansion of 0 in y
0.460 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.460 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.460 * [taylor]: Taking taylor expansion of 1/2 in y
0.460 * [taylor]: Taking taylor expansion of (/ x y) in y
0.460 * [taylor]: Taking taylor expansion of x in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.460 * [taylor]: Taking taylor expansion of x in y
0.460 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.460 * [taylor]: Taking taylor expansion of 1/2 in x
0.460 * [taylor]: Taking taylor expansion of (/ x y) in x
0.460 * [taylor]: Taking taylor expansion of x in x
0.460 * [taylor]: Taking taylor expansion of y in x
0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.460 * [taylor]: Taking taylor expansion of x in x
0.460 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.460 * [taylor]: Taking taylor expansion of 1/2 in x
0.460 * [taylor]: Taking taylor expansion of (/ x y) in x
0.460 * [taylor]: Taking taylor expansion of x in x
0.460 * [taylor]: Taking taylor expansion of y in x
0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [taylor]: Taking taylor expansion of 1 in y
0.462 * [taylor]: Taking taylor expansion of 0 in y
0.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.462 * [taylor]: Taking taylor expansion of 1/2 in y
0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.463 * [taylor]: Taking taylor expansion of y in y
0.464 * [taylor]: Taking taylor expansion of 0 in y
0.467 * [taylor]: Taking taylor expansion of 0 in y
0.467 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.467 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.467 * [taylor]: Taking taylor expansion of 1/2 in y
0.467 * [taylor]: Taking taylor expansion of (/ x y) in y
0.467 * [taylor]: Taking taylor expansion of x in y
0.467 * [taylor]: Taking taylor expansion of y in y
0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.467 * [taylor]: Taking taylor expansion of x in y
0.467 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.467 * [taylor]: Taking taylor expansion of 1/2 in x
0.467 * [taylor]: Taking taylor expansion of (/ x y) in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.467 * [taylor]: Taking taylor expansion of y in x
0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.468 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.468 * [taylor]: Taking taylor expansion of 1/2 in x
0.468 * [taylor]: Taking taylor expansion of (/ x y) in x
0.468 * [taylor]: Taking taylor expansion of x in x
0.468 * [taylor]: Taking taylor expansion of y in x
0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.468 * [taylor]: Taking taylor expansion of x in x
0.469 * [taylor]: Taking taylor expansion of -1 in y
0.470 * [taylor]: Taking taylor expansion of 0 in y
0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.471 * [taylor]: Taking taylor expansion of 1/2 in y
0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.471 * [taylor]: Taking taylor expansion of y in y
0.472 * [taylor]: Taking taylor expansion of 0 in y
0.475 * [taylor]: Taking taylor expansion of 0 in y
0.475 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2)
0.475 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.475 * [taylor]: Taking taylor expansion of 1/2 in x
0.475 * [taylor]: Taking taylor expansion of (/ y x) in x
0.475 * [taylor]: Taking taylor expansion of y in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.475 * [taylor]: Taking taylor expansion of 1/2 in y
0.475 * [taylor]: Taking taylor expansion of (/ y x) in y
0.475 * [taylor]: Taking taylor expansion of y in y
0.476 * [taylor]: Taking taylor expansion of x in y
0.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.476 * [taylor]: Taking taylor expansion of 1/2 in y
0.476 * [taylor]: Taking taylor expansion of (/ y x) in y
0.476 * [taylor]: Taking taylor expansion of y in y
0.476 * [taylor]: Taking taylor expansion of x in y
0.476 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.476 * [taylor]: Taking taylor expansion of 1/2 in x
0.476 * [taylor]: Taking taylor expansion of x in x
0.476 * [taylor]: Taking taylor expansion of 0 in x
0.478 * [taylor]: Taking taylor expansion of 0 in x
0.479 * [taylor]: Taking taylor expansion of 0 in x
0.480 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.480 * [taylor]: Taking taylor expansion of 1/2 in x
0.480 * [taylor]: Taking taylor expansion of (/ x y) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.480 * [taylor]: Taking taylor expansion of 1/2 in y
0.480 * [taylor]: Taking taylor expansion of (/ x y) in y
0.480 * [taylor]: Taking taylor expansion of x in y
0.480 * [taylor]: Taking taylor expansion of y in y
0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.480 * [taylor]: Taking taylor expansion of 1/2 in y
0.480 * [taylor]: Taking taylor expansion of (/ x y) in y
0.480 * [taylor]: Taking taylor expansion of x in y
0.480 * [taylor]: Taking taylor expansion of y in y
0.480 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.480 * [taylor]: Taking taylor expansion of 1/2 in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.482 * [taylor]: Taking taylor expansion of 0 in x
0.484 * [taylor]: Taking taylor expansion of 0 in x
0.486 * [taylor]: Taking taylor expansion of 0 in x
0.486 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.487 * [taylor]: Taking taylor expansion of 1/2 in x
0.487 * [taylor]: Taking taylor expansion of (/ x y) in x
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [taylor]: Taking taylor expansion of y in x
0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.487 * [taylor]: Taking taylor expansion of 1/2 in y
0.487 * [taylor]: Taking taylor expansion of (/ x y) in y
0.487 * [taylor]: Taking taylor expansion of x in y
0.487 * [taylor]: Taking taylor expansion of y in y
0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.487 * [taylor]: Taking taylor expansion of 1/2 in y
0.487 * [taylor]: Taking taylor expansion of (/ x y) in y
0.487 * [taylor]: Taking taylor expansion of x in y
0.487 * [taylor]: Taking taylor expansion of y in y
0.487 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.487 * [taylor]: Taking taylor expansion of 1/2 in x
0.487 * [taylor]: Taking taylor expansion of x in x
0.488 * [taylor]: Taking taylor expansion of 0 in x
0.490 * [taylor]: Taking taylor expansion of 0 in x
0.493 * [taylor]: Taking taylor expansion of 0 in x
0.493 * * * [progress]: simplifying candidates
0.494 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (+ x (* 1/2 (/ y x))))
  (log1p (+ x (* 1/2 (/ y x))))
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (expm1 (* 1/2 (/ y x)))
  (log1p (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.499 * * [simplify]: iteration  0 :  230  enodes  (cost  213 )
0.505 * * [simplify]: iteration  1 :  988  enodes  (cost  194 )
0.528 * * [simplify]: iteration  2 :  4421  enodes  (cost  194 )
0.601 * * [simplify]: iteration  3 :  5001  enodes  (cost  194 )
0.603 * [simplify]: Simplified to:
   (expm1 (+ x (* 1/2 (/ y x))))
  (log1p (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (fma 1/8 (pow (/ y x) 3) (pow x 3))
  (fma (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x) (* x x))
  (* (- x (* 1/2 (/ y x))) (fma 1/2 (/ y x) x))
  (- x (* 1/2 (/ y x)))
  (expm1 (* 1/2 (/ y x)))
  (log1p (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (pow (* 1/2 (/ y x)) 3)
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* (* (cbrt y) (cbrt y)) 1/2)
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.603 * * * [progress]: adding candidates to table
0.704 * [progress]: [Phase 3 of 3] Extracting.
0.704 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.704 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.704 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.723 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.740 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.762 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.789 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.810 * * * [regime]: Found split indices: #<option (#s(si 2 43) #s(si 0 179) #s(si 1 255))>
0.811 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.859 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3369975420138414e+154) #s(sp 0 x 1.0395017264775639e+51) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.859 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3369975420138414e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.0395017264775639e+51) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.860 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
0.861 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
0.861 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
0.861 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
0.861 * [simplify]: Simplified to:
   (if (<= x -1.3369975420138414e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.0395017264775639e+51) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.502 * [regime-testing]: Baseline error score: 21.41517689711214
1.502 * [regime-testing]: Oracle error score: 0.002750343792974122
1.504 * [regime-testing]: End program error score: 0.4957607209026451
1.535 * [regime-testing]: Target error score: 0.4289696252777817