29.188 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.077 * * [simplify]: iteration 0 : 4878 enodes (cost 9 ) 0.077 * * [simplify]: iteration 1 : 4878 enodes (cost 9 ) 0.077 * [simplify]: Simplified to: (/ (- x y) (* x (* y 2.0))) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.101 * [taylor]: Taking taylor expansion of 0.5 in y 0.101 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.101 * [taylor]: Taking taylor expansion of (- x y) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (* x y) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 0.5 in x 0.101 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (- x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 0.5 in x 0.101 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (- x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of -0.5 in y 0.102 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 0.5 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.103 * [taylor]: Taking taylor expansion of 0.5 in y 0.103 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (* x y) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.103 * [taylor]: Taking taylor expansion of 0.5 in x 0.103 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (* x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.103 * [taylor]: Taking taylor expansion of 0.5 in x 0.103 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (* x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.104 * [taylor]: Taking taylor expansion of 0.5 in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (neg 0.5) in y 0.104 * [taylor]: Taking taylor expansion of 0.5 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of (neg (* 0.5 y)) in y 0.106 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.106 * [taylor]: Taking taylor expansion of 0.5 in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 0.5 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (- (log (- x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (- x y)) (+ (log (* x 2.0)) (log y))) (- (log (- x y)) (log (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (* (* (/ (- x y) (* (* x 2.0) y)) (/ (- x y) (* (* x 2.0) y))) (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (neg (- x y)) (neg (* (* x 2.0) y)) (/ x (* (* x 2.0) y)) (/ y (* (* x 2.0) y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* 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 2.0) y) (+ (* x x) (+ (* y y) (* x y)))) (* (* (* x 2.0) y) (+ 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))) 0.137 * * [simplify]: iteration 0 : 6066 enodes (cost 350 ) 0.138 * [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)) x) (/ (cbrt (- x y)) 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (+ (/ x y) -1) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (+ (/ x y) -1) (/ (/ 1 (* y 2.0)) x) (* (/ x (/ (- x y) 2.0)) y) (/ (- x y) (* x 2.0)) (* (* (/ x (cbrt (- x y))) 2.0) y) (* (/ x (/ (sqrt (- x y)) 2.0)) y) (* (/ x (/ (- x y) 2.0)) y) (* (/ x (/ (- (sqrt x) (sqrt y)) 2.0)) y) (* (/ x (/ (- x y) 2.0)) 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)) 0.139 * * * [progress]: adding candidates to table 0.171 * * [progress]: iteration 2 / 4 0.171 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.196 * * * [progress]: generating series expansions 0.196 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.196 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.196 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.196 * [taylor]: Taking taylor expansion of 0.5 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.198 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.198 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.198 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.198 * [taylor]: Taking taylor expansion of 0.5 in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.199 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (neg (* 0.5 x)) in x 0.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.199 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (neg 0.5) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.200 * * * [progress]: simplifying candidates 0.201 * [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)) (neg (/ 0.5 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))) 0.237 * * [simplify]: iteration 0 : 4896 enodes (cost 278 ) 0.237 * * [simplify]: iteration 1 : 4896 enodes (cost 278 ) 0.238 * [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)) (/ (neg 0.5) x) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.238 * * * [progress]: adding candidates to table 0.269 * * [progress]: iteration 3 / 4 0.269 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.278 * * * [progress]: generating rewritten candidates 0.278 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.296 * * * [progress]: generating series expansions 0.296 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.296 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- (/ x y) 1) x)) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (/ x y) 1) x)) in y 0.296 * [taylor]: Taking taylor expansion of 0.5 in y 0.296 * [taylor]: Taking taylor expansion of (/ (- (/ x y) 1) x) in y 0.296 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in y 0.296 * [taylor]: Taking taylor expansion of (/ x y) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 1 in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (/ x y) 1) x)) in x 0.296 * [taylor]: Taking taylor expansion of 0.5 in x 0.296 * [taylor]: Taking taylor expansion of (/ (- (/ x y) 1) x) in x 0.296 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in x 0.296 * [taylor]: Taking taylor expansion of (/ x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (/ x y) 1) x)) in x 0.297 * [taylor]: Taking taylor expansion of 0.5 in x 0.297 * [taylor]: Taking taylor expansion of (/ (- (/ x y) 1) x) in x 0.297 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in x 0.297 * [taylor]: Taking taylor expansion of (/ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of -0.5 in y 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.297 * [taylor]: Taking taylor expansion of 0.5 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (* 0.5 (* x (- (/ y x) 1))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* x (- (/ y x) 1))) in y 0.298 * [taylor]: Taking taylor expansion of 0.5 in y 0.298 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in y 0.298 * [taylor]: Taking taylor expansion of (/ y x) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* x (- (/ y x) 1))) in x 0.299 * [taylor]: Taking taylor expansion of 0.5 in x 0.299 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.299 * [taylor]: Taking taylor expansion of (/ y x) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (* x (- (/ y x) 1))) in x 0.299 * [taylor]: Taking taylor expansion of 0.5 in x 0.299 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.299 * [taylor]: Taking taylor expansion of (/ y x) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.299 * [taylor]: Taking taylor expansion of 0.5 in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (neg 0.5) in y 0.299 * [taylor]: Taking taylor expansion of 0.5 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ y x) 1))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ y x) 1))) in y 0.300 * [taylor]: Taking taylor expansion of -0.5 in y 0.300 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in y 0.300 * [taylor]: Taking taylor expansion of (/ y x) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.300 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ y x) 1))) in x 0.300 * [taylor]: Taking taylor expansion of -0.5 in x 0.300 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.300 * [taylor]: Taking taylor expansion of (/ y x) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ y x) 1))) in x 0.300 * [taylor]: Taking taylor expansion of -0.5 in x 0.300 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.300 * [taylor]: Taking taylor expansion of (/ y x) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of (neg (* 0.5 y)) in y 0.301 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.301 * [taylor]: Taking taylor expansion of 0.5 in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0.5 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.302 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (* (/ 1 (* x 2.0)) (+ (/ x y) -1)) (+ (neg (+ (log x) (log 2.0))) (log (+ (/ x y) -1))) (+ (neg (log (* x 2.0))) (log (+ (/ x y) -1))) (+ (- 0 (+ (log x) (log 2.0))) (log (+ (/ x y) -1))) (+ (- 0 (log (* x 2.0))) (log (+ (/ x y) -1))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (+ (/ x y) -1))) (+ (- (log 1) (log (* x 2.0))) (log (+ (/ x y) -1))) (+ (log (/ 1 (* x 2.0))) (log (+ (/ x y) -1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (exp (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (+ (/ x y) -1) (+ (/ x y) -1)) (+ (/ x y) -1))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (+ (/ x y) -1) (+ (/ x y) -1)) (+ (/ x y) -1))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (+ (/ x y) -1) (+ (/ x y) -1)) (+ (/ x y) -1))) (* (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) -1)))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (* (* (* (/ 1 (* x 2.0)) (+ (/ x y) -1)) (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) -1))) (* 1 (+ (pow (/ x y) 3) (pow -1 3))) (* (* x 2.0) (+ (* (/ x y) (/ x y)) (- (* -1 -1) (* (/ x y) -1)))) (* 1 (- (* (/ x y) (/ x y)) (* -1 -1))) (* (* x 2.0) (- (/ x y) -1)) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) -1))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) -1))) (* (/ 1 (* x 2.0)) (/ x y)) (* (/ 1 (* x 2.0)) -1) (* (/ x y) (/ 1 (* x 2.0))) (* -1 (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (* (cbrt (+ (/ x y) -1)) (cbrt (+ (/ x y) -1)))) (* (/ 1 (* x 2.0)) (sqrt (+ (/ x y) -1))) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ (sqrt (/ x y)) 1)) (* (/ 1 (* x 2.0)) (+ (/ (sqrt x) (sqrt y)) 1)) (* (/ 1 (* x 2.0)) 1) (* (cbrt (/ 1 (* x 2.0))) (+ (/ x y) -1)) (* (sqrt (/ 1 (* x 2.0))) (+ (/ x y) -1)) (* (/ (cbrt 1) 2.0) (+ (/ x y) -1)) (* (/ (sqrt 1) 2.0) (+ (/ x y) -1)) (* (/ 1 2.0) (+ (/ x y) -1)) (* (/ 1 (* x 2.0)) (+ (/ x y) -1)) (* (/ 1 (* x 2.0)) (+ (/ x y) -1)) (* (/ 1 (* x 2.0)) (+ (pow (/ x y) 3) (pow -1 3))) (* (/ 1 (* x 2.0)) (- (* (/ x y) (/ x y)) (* -1 -1))) (* 1 (+ (/ x y) -1)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.343 * * [simplify]: iteration 0 : 4983 enodes (cost 454 ) 0.343 * * [simplify]: iteration 1 : 4983 enodes (cost 454 ) 0.345 * [simplify]: Simplified to: (/ (+ (/ x y) -1) (* x 2.0)) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (log (/ (+ (/ x y) -1) (* x 2.0))) (exp (/ (+ (/ x y) -1) (* x 2.0))) (pow (/ (+ (/ x y) -1) (* x 2.0)) 3) (pow (/ (+ (/ x y) -1) (* x 2.0)) 3) (pow (/ (+ (/ x y) -1) (* x 2.0)) 3) (* (cbrt (/ (+ (/ x y) -1) (* x 2.0))) (cbrt (/ (+ (/ x y) -1) (* x 2.0)))) (cbrt (/ (+ (/ x y) -1) (* x 2.0))) (pow (/ (+ (/ x y) -1) (* x 2.0)) 3) (sqrt (/ (+ (/ x y) -1) (* x 2.0))) (sqrt (/ (+ (/ x y) -1) (* x 2.0))) (+ -1 (pow (/ x y) 3)) (* x (+ 2.0 (* 2.0 (* (/ x y) (+ 1 (/ x y)))))) (+ -1 (* (/ x y) (/ x y))) (* x (+ 2.0 (* 2.0 (/ x y)))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) -1))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) -1))) (/ (/ 1 2.0) y) (/ -1 (* x 2.0)) (/ (/ 1 2.0) y) (/ -1 (* x 2.0)) (* (cbrt (+ (/ x y) -1)) (/ (cbrt (+ (/ x y) -1)) (* x 2.0))) (/ (sqrt (+ (/ x y) -1)) (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ 1 (sqrt (/ x y))) (* x 2.0)) (/ (+ 1 (/ (sqrt x) (sqrt y))) (* x 2.0)) (/ 1 (* x 2.0)) (* (+ (/ x y) -1) (cbrt (/ 1 (* x 2.0)))) (* (+ (/ x y) -1) (sqrt (/ 1 (* x 2.0)))) (* (+ (/ x y) -1) (/ (cbrt 1) 2.0)) (/ (+ (/ x y) -1) 2.0) (/ (+ (/ x y) -1) 2.0) (/ (+ (/ x y) -1) (* x 2.0)) (/ (+ (/ x y) -1) (* x 2.0)) (/ (+ -1 (pow (/ x y) 3)) (* x 2.0)) (/ (+ -1 (* (/ x y) (/ x y))) (* x 2.0)) (+ (/ x y) -1) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.345 * * * [progress]: adding candidates to table 0.383 * [progress]: [Phase 3 of 3] Extracting. 0.383 * * [regime]: Finding splitpoints for: (# #) 0.383 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.383 * * * * [regimes]: Trying to branch on y from (# #) 0.415 * * * * [regimes]: Trying to branch on x from (# #) 0.447 * * * [regime]: Found split indices: #