7.485 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.050 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.051 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.051 * [simplify]: Simplified to: (/ x (+ x y)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (+ x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.067 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (neg x) (neg (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.071 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.073 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.079 * * [simplify]: iteration 2 : 1010 enodes (cost 144 ) 0.097 * * [simplify]: iteration 3 : 3606 enodes (cost 144 ) 0.144 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.145 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (neg x) (neg (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.145 * * * [progress]: adding candidates to table 0.176 * * [progress]: iteration 2 / 4 0.176 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.197 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.207 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (+ x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.208 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.210 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.210 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.211 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.212 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.212 * [taylor]: Taking taylor expansion of (+ x y) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.212 * [taylor]: Taking taylor expansion of (+ x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.212 * [taylor]: Taking taylor expansion of (+ x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying using # : (neg 1) (neg (- (log (+ x y)) (log x))) (neg (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (neg 1) (neg (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (neg (+ x y)) (neg x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.223 * * [simplify]: iteration 0 : 346 enodes (cost 798 ) 0.229 * * [simplify]: iteration 1 : 1531 enodes (cost 700 ) 0.252 * * [simplify]: iteration 2 : 5001 enodes (cost 610 ) 0.259 * [simplify]: Simplified to: -1 (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) -1 (neg (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (neg (+ x y)) (neg x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.260 * * * [progress]: adding candidates to table 0.322 * * [progress]: iteration 3 / 4 0.322 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.337 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.344 * * * [progress]: generating series expansions 0.344 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.344 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.344 * [taylor]: Taking taylor expansion of (/ y x) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.345 * [taylor]: Taking taylor expansion of (/ y x) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.345 * [taylor]: Taking taylor expansion of (/ y x) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.346 * [taylor]: Taking taylor expansion of (/ x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.346 * [taylor]: Taking taylor expansion of (/ x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.346 * [taylor]: Taking taylor expansion of (/ x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow x 2))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.347 * [taylor]: Taking taylor expansion of (/ x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.348 * [taylor]: Taking taylor expansion of (/ x y) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.348 * [taylor]: Taking taylor expansion of (/ x y) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow x 2))) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.349 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.349 * [taylor]: Taking taylor expansion of (/ y x) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.349 * [taylor]: Taking taylor expansion of (/ y x) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.349 * [taylor]: Taking taylor expansion of (/ y x) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.350 * [taylor]: Taking taylor expansion of (/ x y) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.350 * [taylor]: Taking taylor expansion of (/ x y) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.350 * [taylor]: Taking taylor expansion of (/ x y) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.351 * [taylor]: Taking taylor expansion of (/ x y) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.351 * [taylor]: Taking taylor expansion of (/ x y) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.351 * [taylor]: Taking taylor expansion of (/ x y) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.352 * * * [progress]: simplifying candidates 0.353 * [simplify]: Simplifying using # : (neg 1) (neg (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (neg 1) (neg (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.357 * * [simplify]: iteration 0 : 146 enodes (cost 258 ) 0.361 * * [simplify]: iteration 1 : 703 enodes (cost 213 ) 0.369 * * [simplify]: iteration 2 : 1529 enodes (cost 211 ) 0.392 * * [simplify]: iteration 3 : 4169 enodes (cost 211 ) 0.489 * * [simplify]: iteration 4 : 5001 enodes (cost 211 ) 0.491 * [simplify]: Simplified to: -1 (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) -1 (- -1 (/ y x)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (exp (+ (/ y x) 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (- (/ y x) 1)) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.491 * * * [progress]: adding candidates to table 0.528 * [progress]: [Phase 3 of 3] Extracting. 0.528 * * [regime]: Finding splitpoints for: (# #) 0.528 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.528 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# #) 0.554 * * * * [regimes]: Trying to branch on y from (# #) 0.584 * * * * [regimes]: Trying to branch on x from (# #) 0.612 * * * [regime]: Found split indices: #