31.790 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.150 * [progress]: [Phase 2 of 3] Improving. 0.151 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.211 * * [simplify]: iteration 0 : 4919 enodes (cost 9 ) 0.211 * * [simplify]: iteration 1 : 4919 enodes (cost 9 ) 0.211 * [simplify]: Simplified to: (/ (- x y) (* x (* y 2.0))) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.232 * [taylor]: Taking taylor expansion of 0.5 in y 0.232 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.232 * [taylor]: Taking taylor expansion of (- x y) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (* x y) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.232 * [taylor]: Taking taylor expansion of (- x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (* x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.233 * [taylor]: Taking taylor expansion of 0.5 in x 0.233 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.233 * [taylor]: Taking taylor expansion of (- x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (* x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of -0.5 in y 0.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 0.5 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.234 * [taylor]: Taking taylor expansion of 0.5 in y 0.234 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (* x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.234 * [taylor]: Taking taylor expansion of 0.5 in x 0.234 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (* x y) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.234 * [taylor]: Taking taylor expansion of 0.5 in x 0.234 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.235 * [taylor]: Taking taylor expansion of 0.5 in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (neg 0.5) in y 0.235 * [taylor]: Taking taylor expansion of 0.5 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.239 * [taylor]: Taking taylor expansion of 0.5 in y 0.239 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (neg (* 0.5 y)) in y 0.240 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.240 * [taylor]: Taking taylor expansion of 0.5 in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 0.5 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying using # : (- (log (- x y)) (+ (log x) (+ (log y) (log 2.0)))) (- (log (- x y)) (+ (log x) (log (* y 2.0)))) (- (log (- x y)) (log (* x (* y 2.0)))) (log (/ (- x y) (* x (* y 2.0)))) (exp (/ (- x y) (* x (* y 2.0)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* (* y y) y) (* (* 2.0 2.0) 2.0)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* (* y 2.0) (* y 2.0)) (* y 2.0)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x (* y 2.0)) (* x (* y 2.0))) (* x (* y 2.0)))) (* (cbrt (/ (- x y) (* x (* y 2.0)))) (cbrt (/ (- x y) (* x (* y 2.0))))) (cbrt (/ (- x y) (* x (* y 2.0)))) (* (* (/ (- x y) (* x (* y 2.0))) (/ (- x y) (* x (* y 2.0)))) (/ (- x y) (* x (* y 2.0)))) (sqrt (/ (- x y) (* x (* y 2.0)))) (sqrt (/ (- x y) (* x (* y 2.0)))) (neg (- x y)) (neg (* x (* y 2.0))) (/ x (* x (* y 2.0))) (/ y (* x (* y 2.0))) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) (* y 2.0)) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) (* y 2.0)) (/ 1 x) (/ (- x y) (* y 2.0)) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) (* y 2.0)) (/ 1 x) (/ (- x y) (* y 2.0)) (/ 1 (* x (* y 2.0))) (/ (* x (* y 2.0)) (- x y)) (/ (- x y) x) (/ (* x (* y 2.0)) (cbrt (- x y))) (/ (* x (* y 2.0)) (sqrt (- x y))) (/ (* x (* y 2.0)) (- x y)) (/ (* x (* y 2.0)) (- (sqrt x) (sqrt y))) (/ (* x (* y 2.0)) (- x y)) (* (* x (* y 2.0)) (+ (* x x) (+ (* y y) (* x y)))) (* (* x (* y 2.0)) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.292 * * [simplify]: iteration 0 : 4997 enodes (cost 348 ) 0.292 * * [simplify]: iteration 1 : 4997 enodes (cost 348 ) 0.293 * [simplify]: Simplified to: (log (/ (- x y) (* x (* y 2.0)))) (log (/ (- x y) (* x (* y 2.0)))) (log (/ (- x y) (* x (* y 2.0)))) (log (/ (- x y) (* x (* y 2.0)))) (exp (/ (- x y) (* x (* y 2.0)))) (pow (/ (- x y) (* x (* y 2.0))) 3) (pow (/ (- x y) (* x (* y 2.0))) 3) (pow (/ (- x y) (* x (* y 2.0))) 3) (* (cbrt (/ (- x y) (* x (* y 2.0)))) (cbrt (/ (- x y) (* x (* y 2.0))))) (cbrt (/ (- x y) (* x (* y 2.0)))) (pow (/ (- x y) (* x (* y 2.0))) 3) (sqrt (/ (- x y) (* x (* y 2.0)))) (sqrt (/ (- x y) (* x (* y 2.0)))) (- y x) (* x (* y (neg 2.0))) (/ 1 (* y 2.0)) (/ 1 (* x 2.0)) (* (cbrt (- x y)) (/ (cbrt (- x y)) x)) (/ (cbrt (- x y)) (* y 2.0)) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) (* y 2.0)) (/ 1 x) (/ (- x y) (* y 2.0)) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) (* y 2.0)) (/ 1 x) (/ (- x y) (* y 2.0)) (/ (/ 1 (* y 2.0)) x) (* x (* 2.0 (/ y (- x y)))) (- 1 (/ y x)) (* x (* 2.0 (/ y (cbrt (- x y))))) (* x (* 2.0 (/ y (sqrt (- x y))))) (* x (* 2.0 (/ y (- x y)))) (* x (* 2.0 (/ y (- (sqrt x) (sqrt y))))) (* x (* 2.0 (/ y (- x y)))) (* x (* y (* 2.0 (+ (* x x) (* y (+ x y)))))) (* x (* y (* 2.0 (+ x y)))) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.294 * * * [progress]: adding candidates to table 0.355 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.380 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.381 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.381 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.381 * [taylor]: Taking taylor expansion of 0.5 in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (neg (* 0.5 x)) in x 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.383 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (neg 0.5) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.384 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying using # : (/ (exp (/ 0.5 y)) (exp (/ 0.5 x))) (log (- (/ 0.5 y) (/ 0.5 x))) (exp (- (/ 0.5 y) (/ 0.5 x))) (* (cbrt (- (/ 0.5 y) (/ 0.5 x))) (cbrt (- (/ 0.5 y) (/ 0.5 x)))) (cbrt (- (/ 0.5 y) (/ 0.5 x))) (* (* (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (- (* 0.5 x) (* y 0.5)) (* y x) (- (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (+ (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (neg (/ 0.5 x)) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x)) (+ (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (- (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (+ (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (- (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (+ (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (- (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (+ (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (- (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 1 y) (/ 1 x)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.423 * * [simplify]: iteration 0 : 4883 enodes (cost 274 ) 0.423 * * [simplify]: iteration 1 : 4883 enodes (cost 274 ) 0.425 * [simplify]: Simplified to: (exp (- (/ 0.5 y) (/ 0.5 x))) (log (- (/ 0.5 y) (/ 0.5 x))) (exp (- (/ 0.5 y) (/ 0.5 x))) (* (cbrt (- (/ 0.5 y) (/ 0.5 x))) (cbrt (- (/ 0.5 y) (/ 0.5 x)))) (cbrt (- (/ 0.5 y) (/ 0.5 x))) (pow (- (/ 0.5 y) (/ 0.5 x)) 3) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (* 0.5 (- x y)) (* y x) (- (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (* 0.5 (+ (/ 0.5 (* y y)) (/ (+ (/ 0.5 y) (/ 0.5 x)) x))) (/ (neg 0.5) x) (* 0.5 (- (/ 0.5 (* y y)) (/ 0.5 (* x x)))) (+ (/ 0.5 y) (/ 0.5 x)) (+ (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (- (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (+ (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (- (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (+ (sqrt (/ 0.5 x)) (/ (sqrt 0.5) (sqrt y))) (- (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (+ (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt y))) (- (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (- (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ -1 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.425 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 3 / 4 0.458 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.479 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- 1 (/ y x)) y)) in (y x) around 0 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- 1 (/ y x)) y)) in x 0.479 * [taylor]: Taking taylor expansion of 0.5 in x 0.479 * [taylor]: Taking taylor expansion of (/ (- 1 (/ y x)) y) in x 0.479 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in x 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [taylor]: Taking taylor expansion of (/ y x) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- 1 (/ y x)) y)) in y 0.479 * [taylor]: Taking taylor expansion of 0.5 in y 0.479 * [taylor]: Taking taylor expansion of (/ (- 1 (/ y x)) y) in y 0.479 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.479 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of (/ y x) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- 1 (/ y x)) y)) in y 0.479 * [taylor]: Taking taylor expansion of 0.5 in y 0.479 * [taylor]: Taking taylor expansion of (/ (- 1 (/ y x)) y) in y 0.479 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.479 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of (/ y x) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 0.5 in x 0.480 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of 0.5 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [approximate]: Taking taylor expansion of (* 0.5 (* (- 1 (/ x y)) y)) in (y x) around 0 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1 (/ x y)) y)) in x 0.481 * [taylor]: Taking taylor expansion of 0.5 in x 0.481 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in x 0.481 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.481 * [taylor]: Taking taylor expansion of 1 in x 0.481 * [taylor]: Taking taylor expansion of (/ x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1 (/ x y)) y)) in y 0.481 * [taylor]: Taking taylor expansion of 0.5 in y 0.481 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in y 0.481 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of (/ x y) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1 (/ x y)) y)) in y 0.481 * [taylor]: Taking taylor expansion of 0.5 in y 0.481 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in y 0.481 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of (/ x y) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in x 0.482 * [taylor]: Taking taylor expansion of (neg (* 0.5 x)) in x 0.482 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of 0 in x 0.482 * [taylor]: Taking taylor expansion of 0 in x 0.482 * [approximate]: Taking taylor expansion of (* -0.5 (* (- 1 (/ x y)) y)) in (y x) around 0 0.483 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1 (/ x y)) y)) in x 0.483 * [taylor]: Taking taylor expansion of -0.5 in x 0.483 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in x 0.483 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [taylor]: Taking taylor expansion of (/ x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1 (/ x y)) y)) in y 0.483 * [taylor]: Taking taylor expansion of -0.5 in y 0.483 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in y 0.483 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of (/ x y) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1 (/ x y)) y)) in y 0.483 * [taylor]: Taking taylor expansion of -0.5 in y 0.483 * [taylor]: Taking taylor expansion of (* (- 1 (/ x y)) y) in y 0.483 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of (/ x y) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of 0 in x 0.483 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.483 * [taylor]: Taking taylor expansion of 0.5 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (neg 0.5) in x 0.483 * [taylor]: Taking taylor expansion of 0.5 in x 0.484 * [taylor]: Taking taylor expansion of 0 in x 0.484 * [taylor]: Taking taylor expansion of 0 in x 0.484 * * * [progress]: simplifying candidates 0.485 * [simplify]: Simplifying using # : (- (log (- 1 (/ y x))) (+ (log y) (log 2.0))) (- (log (- 1 (/ y x))) (log (* y 2.0))) (log (/ (- 1 (/ y x)) (* y 2.0))) (exp (/ (- 1 (/ y x)) (* y 2.0))) (/ (* (* (- 1 (/ y x)) (- 1 (/ y x))) (- 1 (/ y x))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (/ (* (* (- 1 (/ y x)) (- 1 (/ y x))) (- 1 (/ y x))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (/ (- 1 (/ y x)) (* y 2.0))) (cbrt (/ (- 1 (/ y x)) (* y 2.0)))) (cbrt (/ (- 1 (/ y x)) (* y 2.0))) (* (* (/ (- 1 (/ y x)) (* y 2.0)) (/ (- 1 (/ y x)) (* y 2.0))) (/ (- 1 (/ y x)) (* y 2.0))) (sqrt (/ (- 1 (/ y x)) (* y 2.0))) (sqrt (/ (- 1 (/ y x)) (* y 2.0))) (neg (- 1 (/ y x))) (neg (* y 2.0)) (/ 1 (* y 2.0)) (/ (/ y x) (* y 2.0)) (/ (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) y) (/ (cbrt (- 1 (/ y x))) 2.0) (/ (sqrt (- 1 (/ y x))) y) (/ (sqrt (- 1 (/ y x))) 2.0) (/ 1 y) (/ (- 1 (/ y x)) 2.0) (/ (+ (sqrt 1) (sqrt (/ y x))) y) (/ (- (sqrt 1) (sqrt (/ y x))) 2.0) (/ (+ (sqrt 1) (/ (sqrt y) (sqrt x))) y) (/ (- (sqrt 1) (/ (sqrt y) (sqrt x))) 2.0) (/ (+ 1 (sqrt (/ y x))) y) (/ (- 1 (sqrt (/ y x))) 2.0) (/ (+ 1 (/ (sqrt y) (sqrt x))) y) (/ (- 1 (/ (sqrt y) (sqrt x))) 2.0) (/ 1 y) (/ (- 1 (/ y x)) 2.0) (/ 1 (* y 2.0)) (/ (* y 2.0) (- 1 (/ y x))) (/ (- 1 (/ y x)) y) (/ (* y 2.0) (cbrt (- 1 (/ y x)))) (/ (* y 2.0) (sqrt (- 1 (/ y x)))) (/ (* y 2.0) (- 1 (/ y x))) (/ (* y 2.0) (- (sqrt 1) (sqrt (/ y x)))) (/ (* y 2.0) (- (sqrt 1) (/ (sqrt y) (sqrt x)))) (/ (* y 2.0) (- 1 (sqrt (/ y x)))) (/ (* y 2.0) (- 1 (/ (sqrt y) (sqrt x)))) (/ (* y 2.0) (- 1 (/ y x))) (* (* y 2.0) (+ (* 1 1) (+ (* (/ y x) (/ y x)) (* 1 (/ y x))))) (* (* y 2.0) (+ 1 (/ y x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.528 * * [simplify]: iteration 0 : 4978 enodes (cost 418 ) 0.528 * * [simplify]: iteration 1 : 4978 enodes (cost 418 ) 0.530 * [simplify]: Simplified to: (log (/ (- 1 (/ y x)) (* y 2.0))) (log (/ (- 1 (/ y x)) (* y 2.0))) (log (/ (- 1 (/ y x)) (* y 2.0))) (exp (/ (- 1 (/ y x)) (* y 2.0))) (pow (/ (- 1 (/ y x)) (* y 2.0)) 3) (pow (/ (- 1 (/ y x)) (* y 2.0)) 3) (* (cbrt (/ (- 1 (/ y x)) (* y 2.0))) (cbrt (/ (- 1 (/ y x)) (* y 2.0)))) (cbrt (/ (- 1 (/ y x)) (* y 2.0))) (pow (/ (- 1 (/ y x)) (* y 2.0)) 3) (sqrt (/ (- 1 (/ y x)) (* y 2.0))) (sqrt (/ (- 1 (/ y x)) (* y 2.0))) (+ (/ y x) -1) (* y (neg 2.0)) (/ 1 (* y 2.0)) (/ y (* y (* x 2.0))) (* (cbrt (- 1 (/ y x))) (/ (cbrt (- 1 (/ y x))) y)) (/ (cbrt (- 1 (/ y x))) 2.0) (/ (sqrt (- 1 (/ y x))) y) (/ (sqrt (- 1 (/ y x))) 2.0) (/ 1 y) (/ (- 1 (/ y x)) 2.0) (/ (+ 1 (sqrt (/ y x))) y) (/ (- 1 (sqrt (/ y x))) 2.0) (/ (+ 1 (/ (sqrt y) (sqrt x))) y) (/ (- 1 (/ (sqrt y) (sqrt x))) 2.0) (/ (+ 1 (sqrt (/ y x))) y) (/ (- 1 (sqrt (/ y x))) 2.0) (/ (+ 1 (/ (sqrt y) (sqrt x))) y) (/ (- 1 (/ (sqrt y) (sqrt x))) 2.0) (/ 1 y) (/ (- 1 (/ y x)) 2.0) (/ 1 (* y 2.0)) (* y (/ 2.0 (- 1 (/ y x)))) (/ (- 1 (/ y x)) y) (* y (/ 2.0 (cbrt (- 1 (/ y x))))) (* y (/ 2.0 (sqrt (- 1 (/ y x))))) (* y (/ 2.0 (- 1 (/ y x)))) (* y (/ 2.0 (- 1 (sqrt (/ y x))))) (* y (/ 2.0 (- 1 (/ (sqrt y) (sqrt x))))) (* y (/ 2.0 (- 1 (sqrt (/ y x))))) (* y (/ 2.0 (- 1 (/ (sqrt y) (sqrt x))))) (* y (/ 2.0 (- 1 (/ y x)))) (* y (+ 2.0 (* (/ y x) (+ 2.0 (* (/ y x) 2.0))))) (* y (+ 2.0 (* (/ y x) 2.0))) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.530 * * * [progress]: adding candidates to table 0.570 * [progress]: [Phase 3 of 3] Extracting. 0.570 * * [regime]: Finding splitpoints for: (# #) 0.571 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.571 * * * * [regimes]: Trying to branch on y from (# #) 0.601 * * * * [regimes]: Trying to branch on x from (# #) 0.633 * * * [regime]: Found split indices: #