7.258 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.017 * * [simplify]: iteration 1 : 14 enodes (cost 9 ) 0.019 * * [simplify]: iteration 2 : 27 enodes (cost 9 ) 0.022 * * [simplify]: iteration 3 : 40 enodes (cost 9 ) 0.027 * * [simplify]: iteration 4 : 41 enodes (cost 9 ) 0.035 * * [simplify]: iteration done : 41 enodes (cost 9 ) 0.035 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of 0.5 in y 0.058 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (+ x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 0.5 in x 0.059 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (+ x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 0.5 in x 0.059 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (+ x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.072 * [taylor]: Taking taylor expansion of 0.5 in y 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* y x) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* y x) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* y x) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.076 * [taylor]: Taking taylor expansion of 0.5 in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.090 * [taylor]: Taking taylor expansion of -0.5 in y 0.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* y x) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.091 * [taylor]: Taking taylor expansion of -0.5 in x 0.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* y x) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.091 * [taylor]: Taking taylor expansion of -0.5 in x 0.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* y x) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.094 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.094 * [taylor]: Taking taylor expansion of 0.5 in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.096 * [taylor]: Taking taylor expansion of 0.5 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (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))) (- (+ x 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) (/ 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) (+ 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))) 0.112 * * [simplify]: iteration 0 : 75 enodes (cost 426 ) 0.128 * * [simplify]: iteration 1 : 225 enodes (cost 411 ) 0.177 * * [simplify]: iteration 2 : 879 enodes (cost 333 ) 0.465 * * [simplify]: iteration 3 : 4691 enodes (cost 333 ) 1.589 * * [simplify]: iteration done : 5000 enodes (cost 333 ) 1.589 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x 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) (/ 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) (+ x y)) (* (fma x x (* y (- y x))) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 1.590 * * * [progress]: adding candidates to table 1.647 * * [progress]: iteration 2 / 4 1.647 * * * [progress]: picking best candidate 1.651 * * * * [pick]: Picked # 1.651 * * * [progress]: localizing error 1.656 * * * [progress]: generating rewritten candidates 1.656 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.675 * * * [progress]: generating series expansions 1.675 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.675 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 1.675 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 1.675 * [taylor]: Taking taylor expansion of 0.5 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.675 * [taylor]: Taking taylor expansion of 0.5 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of 0.5 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 1.676 * [taylor]: Taking taylor expansion of 0.5 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.676 * [taylor]: Taking taylor expansion of x in y 1.676 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of 0.5 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 1.676 * [taylor]: Taking taylor expansion of 0.5 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of 0.5 in x 1.678 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of 0.5 in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of 0 in x 1.683 * [taylor]: Taking taylor expansion of 0 in x 1.687 * [taylor]: Taking taylor expansion of 0 in x 1.687 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (y x) around 0 1.687 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 1.687 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.687 * [taylor]: Taking taylor expansion of 0.5 in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 1.687 * [taylor]: Taking taylor expansion of 0.5 in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.687 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.687 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.687 * [taylor]: Taking taylor expansion of 0.5 in y 1.687 * [taylor]: Taking taylor expansion of x in y 1.687 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.687 * [taylor]: Taking taylor expansion of 0.5 in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.687 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.687 * [taylor]: Taking taylor expansion of 0.5 in y 1.687 * [taylor]: Taking taylor expansion of x in y 1.687 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.687 * [taylor]: Taking taylor expansion of 0.5 in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.688 * [taylor]: Taking taylor expansion of 0.5 in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of 0.5 in x 1.692 * [taylor]: Taking taylor expansion of 0 in x 1.694 * [taylor]: Taking taylor expansion of 0 in x 1.694 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in (y x) around 0 1.694 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in x 1.694 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 1.694 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.694 * [taylor]: Taking taylor expansion of 0.5 in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 1.694 * [taylor]: Taking taylor expansion of 0.5 in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.694 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 1.694 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 1.694 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.695 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 1.695 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.695 * [taylor]: Taking taylor expansion of 0.5 in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.697 * [taylor]: Taking taylor expansion of 0.5 in x 1.700 * [taylor]: Taking taylor expansion of 0 in x 1.703 * [taylor]: Taking taylor expansion of 0 in x 1.704 * * * [progress]: simplifying candidates 1.704 * [simplify]: Simplifying using # : (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (* (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)))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 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))) 1.706 * * [simplify]: iteration 0 : 48 enodes (cost 243 ) 1.714 * * [simplify]: iteration 1 : 124 enodes (cost 230 ) 1.737 * * [simplify]: iteration 2 : 284 enodes (cost 209 ) 1.805 * * [simplify]: iteration 3 : 1217 enodes (cost 209 ) 2.529 * * [simplify]: iteration done : 5000 enodes (cost 206 ) 2.529 * [simplify]: Simplified to: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (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 x) (/ 0.5 y)) 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 x) (/ 0.5 y)) x))) (* 0.5 (- (/ (/ 0.5 y) y) (/ 0.5 (* x x)))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 1 x) (/ 1 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) 2.529 * * * [progress]: adding candidates to table 2.601 * * [progress]: iteration 3 / 4 2.601 * * * [progress]: picking best candidate 2.604 * * * * [pick]: Picked # 2.604 * * * [progress]: localizing error 2.610 * * * [progress]: generating rewritten candidates 2.610 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.622 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.635 * * * [progress]: generating series expansions 2.635 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.635 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 2.635 * [taylor]: Taking taylor expansion of 0.5 in y 2.635 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 2.635 * [taylor]: Taking taylor expansion of (+ x y) in y 2.635 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.635 * [taylor]: Taking taylor expansion of (* x y) in y 2.635 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 2.636 * [taylor]: Taking taylor expansion of 0.5 in x 2.636 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 2.636 * [taylor]: Taking taylor expansion of (+ x y) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of y in x 2.636 * [taylor]: Taking taylor expansion of (* x y) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of y in x 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 2.636 * [taylor]: Taking taylor expansion of 0.5 in x 2.636 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 2.636 * [taylor]: Taking taylor expansion of (+ x y) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of y in x 2.636 * [taylor]: Taking taylor expansion of (* x y) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of y in x 2.637 * [taylor]: Taking taylor expansion of 0.5 in y 2.638 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.638 * [taylor]: Taking taylor expansion of 0.5 in y 2.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.638 * [taylor]: Taking taylor expansion of y in y 2.641 * [taylor]: Taking taylor expansion of 0 in y 2.646 * [taylor]: Taking taylor expansion of 0 in y 2.650 * [taylor]: Taking taylor expansion of 0 in y 2.650 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 2.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 2.650 * [taylor]: Taking taylor expansion of 0.5 in y 2.650 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 2.650 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.650 * [taylor]: Taking taylor expansion of y in y 2.651 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.651 * [taylor]: Taking taylor expansion of x in y 2.651 * [taylor]: Taking taylor expansion of (* y x) in y 2.651 * [taylor]: Taking taylor expansion of y in y 2.651 * [taylor]: Taking taylor expansion of x in y 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 2.651 * [taylor]: Taking taylor expansion of 0.5 in x 2.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.651 * [taylor]: Taking taylor expansion of y in x 2.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [taylor]: Taking taylor expansion of (* y x) in x 2.651 * [taylor]: Taking taylor expansion of y in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 2.651 * [taylor]: Taking taylor expansion of 0.5 in x 2.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.651 * [taylor]: Taking taylor expansion of y in x 2.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of (* y x) in x 2.652 * [taylor]: Taking taylor expansion of y in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.653 * [taylor]: Taking taylor expansion of 0 in y 2.654 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.654 * [taylor]: Taking taylor expansion of 0.5 in y 2.654 * [taylor]: Taking taylor expansion of y in y 2.656 * [taylor]: Taking taylor expansion of 0.5 in y 2.659 * [taylor]: Taking taylor expansion of 0 in y 2.663 * [taylor]: Taking taylor expansion of 0 in y 2.667 * [taylor]: Taking taylor expansion of 0 in y 2.667 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 2.667 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 2.667 * [taylor]: Taking taylor expansion of -0.5 in y 2.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 2.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.667 * [taylor]: Taking taylor expansion of y in y 2.667 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.667 * [taylor]: Taking taylor expansion of x in y 2.667 * [taylor]: Taking taylor expansion of (* y x) in y 2.668 * [taylor]: Taking taylor expansion of y in y 2.668 * [taylor]: Taking taylor expansion of x in y 2.668 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 2.668 * [taylor]: Taking taylor expansion of -0.5 in x 2.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.668 * [taylor]: Taking taylor expansion of y in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (* y x) in x 2.668 * [taylor]: Taking taylor expansion of y in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 2.668 * [taylor]: Taking taylor expansion of -0.5 in x 2.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.668 * [taylor]: Taking taylor expansion of y in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (* y x) in x 2.668 * [taylor]: Taking taylor expansion of y in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of 0 in y 2.670 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 2.670 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.670 * [taylor]: Taking taylor expansion of 0.5 in y 2.670 * [taylor]: Taking taylor expansion of y in y 2.673 * [taylor]: Taking taylor expansion of (- 0.5) in y 2.673 * [taylor]: Taking taylor expansion of 0.5 in y 2.676 * [taylor]: Taking taylor expansion of 0 in y 2.681 * [taylor]: Taking taylor expansion of 0 in y 2.685 * [taylor]: Taking taylor expansion of 0 in y 2.686 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.686 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 2.686 * [taylor]: Taking taylor expansion of 0.5 in y 2.686 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.686 * [taylor]: Taking taylor expansion of (+ x y) in y 2.686 * [taylor]: Taking taylor expansion of x in y 2.686 * [taylor]: Taking taylor expansion of y in y 2.686 * [taylor]: Taking taylor expansion of x in y 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 2.686 * [taylor]: Taking taylor expansion of 0.5 in x 2.686 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 2.686 * [taylor]: Taking taylor expansion of (+ x y) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of y in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 2.686 * [taylor]: Taking taylor expansion of 0.5 in x 2.686 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 2.687 * [taylor]: Taking taylor expansion of (+ x y) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of y in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.687 * [taylor]: Taking taylor expansion of 0.5 in y 2.687 * [taylor]: Taking taylor expansion of y in y 2.688 * [taylor]: Taking taylor expansion of 0.5 in y 2.690 * [taylor]: Taking taylor expansion of 0 in y 2.693 * [taylor]: Taking taylor expansion of 0 in y 2.693 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 2.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.693 * [taylor]: Taking taylor expansion of 0.5 in y 2.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.694 * [taylor]: Taking taylor expansion of y in y 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.694 * [taylor]: Taking taylor expansion of x in y 2.694 * [taylor]: Taking taylor expansion of x in y 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.694 * [taylor]: Taking taylor expansion of 0.5 in x 2.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.694 * [taylor]: Taking taylor expansion of y in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.694 * [taylor]: Taking taylor expansion of 0.5 in x 2.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.694 * [taylor]: Taking taylor expansion of y in x 2.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.695 * [taylor]: Taking taylor expansion of x in x 2.695 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of 0 in y 2.697 * [taylor]: Taking taylor expansion of 0.5 in y 2.699 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.699 * [taylor]: Taking taylor expansion of 0.5 in y 2.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.699 * [taylor]: Taking taylor expansion of y in y 2.702 * [taylor]: Taking taylor expansion of 0 in y 2.705 * [taylor]: Taking taylor expansion of 0 in y 2.706 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 2.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.706 * [taylor]: Taking taylor expansion of 0.5 in y 2.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.707 * [taylor]: Taking taylor expansion of y in y 2.707 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.707 * [taylor]: Taking taylor expansion of x in y 2.707 * [taylor]: Taking taylor expansion of x in y 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.707 * [taylor]: Taking taylor expansion of 0.5 in x 2.707 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.707 * [taylor]: Taking taylor expansion of y in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.707 * [taylor]: Taking taylor expansion of 0.5 in x 2.707 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.707 * [taylor]: Taking taylor expansion of y in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.708 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of 0 in y 2.710 * [taylor]: Taking taylor expansion of 0.5 in y 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.712 * [taylor]: Taking taylor expansion of 0.5 in y 2.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.712 * [taylor]: Taking taylor expansion of y in y 2.714 * [taylor]: Taking taylor expansion of 0 in y 2.718 * [taylor]: Taking taylor expansion of 0 in y 2.719 * * * [progress]: simplifying candidates 2.720 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log 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 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) 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)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 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))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 2.727 * * [simplify]: iteration 0 : 138 enodes (cost 1163 ) 2.750 * * [simplify]: iteration 1 : 348 enodes (cost 1124 ) 2.821 * * [simplify]: iteration 2 : 1282 enodes (cost 1002 ) 3.202 * * [simplify]: iteration done : 5000 enodes (cost 1002 ) 3.203 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* (* x y) 2.0) (* (* x y) 2.0) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (fma x x (* y (- y x)))) (* (* x 2.0) (- x y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 3.204 * * * [progress]: adding candidates to table 3.349 * * [progress]: iteration 4 / 4 3.349 * * * [progress]: picking best candidate 3.351 * * * * [pick]: Picked # 3.351 * * * [progress]: localizing error 3.366 * * * [progress]: generating rewritten candidates 3.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 3.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 3.388 * * * [progress]: generating series expansions 3.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.388 * [approximate]: Taking taylor expansion of (* (/ 1 x) (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3)) in (x y) around 0 3.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3)) in y 3.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.388 * [taylor]: Taking taylor expansion of x in y 3.388 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3) in y 3.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2))))) in y 3.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2)))) in y 3.388 * [taylor]: Taking taylor expansion of 1/3 in y 3.388 * [taylor]: Taking taylor expansion of (log (/ (pow (+ x y) 2) (pow y 2))) in y 3.388 * [taylor]: Taking taylor expansion of (/ (pow (+ x y) 2) (pow y 2)) in y 3.388 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 3.388 * [taylor]: Taking taylor expansion of (+ x y) in y 3.388 * [taylor]: Taking taylor expansion of x in y 3.388 * [taylor]: Taking taylor expansion of y in y 3.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.389 * [taylor]: Taking taylor expansion of y in y 3.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3)) in x 3.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3) in x 3.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2))))) in x 3.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2)))) in x 3.390 * [taylor]: Taking taylor expansion of 1/3 in x 3.390 * [taylor]: Taking taylor expansion of (log (/ (pow (+ x y) 2) (pow y 2))) in x 3.390 * [taylor]: Taking taylor expansion of (/ (pow (+ x y) 2) (pow y 2)) in x 3.390 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 3.390 * [taylor]: Taking taylor expansion of (+ x y) in x 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of y in x 3.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.390 * [taylor]: Taking taylor expansion of y in x 3.392 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3)) in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ x y) 2) (pow y 2)) 1/3) in x 3.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2))))) in x 3.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ x y) 2) (pow y 2)))) in x 3.393 * [taylor]: Taking taylor expansion of 1/3 in x 3.393 * [taylor]: Taking taylor expansion of (log (/ (pow (+ x y) 2) (pow y 2))) in x 3.393 * [taylor]: Taking taylor expansion of (/ (pow (+ x y) 2) (pow y 2)) in x 3.393 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 3.393 * [taylor]: Taking taylor expansion of (+ x y) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of y in x 3.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.393 * [taylor]: Taking taylor expansion of y in x 3.395 * [taylor]: Taking taylor expansion of 1 in y 3.396 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 3.396 * [taylor]: Taking taylor expansion of 2/3 in y 3.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.396 * [taylor]: Taking taylor expansion of y in y 3.400 * [taylor]: Taking taylor expansion of (- (* 1/9 (/ 1 (pow y 2)))) in y 3.401 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow y 2))) in y 3.401 * [taylor]: Taking taylor expansion of 1/9 in y 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.401 * [taylor]: Taking taylor expansion of y in y 3.410 * [taylor]: Taking taylor expansion of (* 4/81 (/ 1 (pow y 3))) in y 3.410 * [taylor]: Taking taylor expansion of 4/81 in y 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.410 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.410 * [taylor]: Taking taylor expansion of y in y 3.415 * [approximate]: Taking taylor expansion of (* (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) x) in (x y) around 0 3.416 * [taylor]: Taking taylor expansion of (* (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) x) in y 3.416 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) in y 3.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))))) in y 3.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)))) in y 3.416 * [taylor]: Taking taylor expansion of 1/3 in y 3.416 * [taylor]: Taking taylor expansion of (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))) in y 3.416 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) in y 3.416 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 3.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.416 * [taylor]: Taking taylor expansion of y in y 3.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.416 * [taylor]: Taking taylor expansion of x in y 3.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.416 * [taylor]: Taking taylor expansion of y in y 3.419 * [taylor]: Taking taylor expansion of x in y 3.419 * [taylor]: Taking taylor expansion of (* (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) x) in x 3.419 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) in x 3.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))))) in x 3.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)))) in x 3.420 * [taylor]: Taking taylor expansion of 1/3 in x 3.420 * [taylor]: Taking taylor expansion of (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))) in x 3.420 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) in x 3.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 3.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.420 * [taylor]: Taking taylor expansion of y in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.420 * [taylor]: Taking taylor expansion of x in x 3.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.420 * [taylor]: Taking taylor expansion of y in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.421 * [taylor]: Taking taylor expansion of (* (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) x) in x 3.421 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) 1/3) in x 3.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))))) in x 3.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)))) in x 3.421 * [taylor]: Taking taylor expansion of 1/3 in x 3.421 * [taylor]: Taking taylor expansion of (log (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2))) in x 3.421 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow y 2)) in x 3.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 3.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.421 * [taylor]: Taking taylor expansion of y in x 3.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.422 * [taylor]: Taking taylor expansion of y in x 3.423 * [taylor]: Taking taylor expansion of x in x 3.423 * [taylor]: Taking taylor expansion of 0 in y 3.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.425 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.425 * [taylor]: Taking taylor expansion of 1/3 in y 3.425 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.425 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.425 * [taylor]: Taking taylor expansion of y in y 3.426 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.426 * [taylor]: Taking taylor expansion of 2 in y 3.426 * [taylor]: Taking taylor expansion of (log x) in y 3.426 * [taylor]: Taking taylor expansion of x in y 3.434 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) y)) in y 3.434 * [taylor]: Taking taylor expansion of 2/3 in y 3.434 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) y) in y 3.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.434 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.434 * [taylor]: Taking taylor expansion of 1/3 in y 3.434 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.434 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.434 * [taylor]: Taking taylor expansion of y in y 3.435 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.435 * [taylor]: Taking taylor expansion of 2 in y 3.435 * [taylor]: Taking taylor expansion of (log x) in y 3.435 * [taylor]: Taking taylor expansion of x in y 3.436 * [taylor]: Taking taylor expansion of y in y 3.450 * [taylor]: Taking taylor expansion of (- (* 1/9 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) (pow y 2)))) in y 3.450 * [taylor]: Taking taylor expansion of (* 1/9 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) (pow y 2))) in y 3.450 * [taylor]: Taking taylor expansion of 1/9 in y 3.450 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) (pow y 2)) in y 3.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.450 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.450 * [taylor]: Taking taylor expansion of 1/3 in y 3.450 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.450 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.450 * [taylor]: Taking taylor expansion of y in y 3.450 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.450 * [taylor]: Taking taylor expansion of 2 in y 3.450 * [taylor]: Taking taylor expansion of (log x) in y 3.450 * [taylor]: Taking taylor expansion of x in y 3.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.451 * [taylor]: Taking taylor expansion of y in y 3.470 * [approximate]: Taking taylor expansion of (* -1 (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3))) in (x y) around 0 3.470 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3))) in y 3.470 * [taylor]: Taking taylor expansion of -1 in y 3.470 * [taylor]: Taking taylor expansion of (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3)) in y 3.470 * [taylor]: Taking taylor expansion of x in y 3.470 * [taylor]: Taking taylor expansion of (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3) in y 3.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 3.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 3.471 * [taylor]: Taking taylor expansion of 1/3 in y 3.471 * [taylor]: Taking taylor expansion of (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 3.471 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 3.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.471 * [taylor]: Taking taylor expansion of y in y 3.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 3.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.471 * [taylor]: Taking taylor expansion of y in y 3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.471 * [taylor]: Taking taylor expansion of x in y 3.474 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3))) in x 3.474 * [taylor]: Taking taylor expansion of -1 in x 3.474 * [taylor]: Taking taylor expansion of (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3)) in x 3.474 * [taylor]: Taking taylor expansion of x in x 3.474 * [taylor]: Taking taylor expansion of (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3) in x 3.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 3.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 3.474 * [taylor]: Taking taylor expansion of 1/3 in x 3.474 * [taylor]: Taking taylor expansion of (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 3.474 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 3.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.475 * [taylor]: Taking taylor expansion of y in x 3.475 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.475 * [taylor]: Taking taylor expansion of y in x 3.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.475 * [taylor]: Taking taylor expansion of x in x 3.476 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3))) in x 3.476 * [taylor]: Taking taylor expansion of -1 in x 3.476 * [taylor]: Taking taylor expansion of (* x (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3)) in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.476 * [taylor]: Taking taylor expansion of (pow (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) 1/3) in x 3.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 3.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 3.476 * [taylor]: Taking taylor expansion of 1/3 in x 3.476 * [taylor]: Taking taylor expansion of (log (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 3.476 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 3.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.476 * [taylor]: Taking taylor expansion of y in x 3.476 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 3.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.476 * [taylor]: Taking taylor expansion of y in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.478 * [taylor]: Taking taylor expansion of 0 in y 3.481 * [taylor]: Taking taylor expansion of (- (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x)))))) in y 3.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.481 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.481 * [taylor]: Taking taylor expansion of 1/3 in y 3.481 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.481 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.481 * [taylor]: Taking taylor expansion of y in y 3.482 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.482 * [taylor]: Taking taylor expansion of 2 in y 3.482 * [taylor]: Taking taylor expansion of (log x) in y 3.482 * [taylor]: Taking taylor expansion of x in y 3.488 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) y))) in y 3.488 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) y)) in y 3.488 * [taylor]: Taking taylor expansion of 2/3 in y 3.488 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) y) in y 3.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.488 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.488 * [taylor]: Taking taylor expansion of 1/3 in y 3.488 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.488 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.488 * [taylor]: Taking taylor expansion of y in y 3.489 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.489 * [taylor]: Taking taylor expansion of 2 in y 3.489 * [taylor]: Taking taylor expansion of (log x) in y 3.489 * [taylor]: Taking taylor expansion of x in y 3.489 * [taylor]: Taking taylor expansion of y in y 3.504 * [taylor]: Taking taylor expansion of (* 1/9 (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) (pow y 2))) in y 3.504 * [taylor]: Taking taylor expansion of 1/9 in y 3.504 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) (pow y 2)) in y 3.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 3.504 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 3.504 * [taylor]: Taking taylor expansion of 1/3 in y 3.504 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 3.504 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.504 * [taylor]: Taking taylor expansion of y in y 3.505 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 3.505 * [taylor]: Taking taylor expansion of 2 in y 3.505 * [taylor]: Taking taylor expansion of (log x) in y 3.505 * [taylor]: Taking taylor expansion of x in y 3.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.506 * [taylor]: Taking taylor expansion of y in y 3.527 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.528 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (x y) around 0 3.528 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 3.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 3.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 3.528 * [taylor]: Taking taylor expansion of 1/3 in y 3.528 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 3.528 * [taylor]: Taking taylor expansion of (+ x y) in y 3.528 * [taylor]: Taking taylor expansion of x in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.528 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.528 * [taylor]: Taking taylor expansion of 1/3 in x 3.528 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.528 * [taylor]: Taking taylor expansion of (+ x y) in x 3.528 * [taylor]: Taking taylor expansion of x in x 3.528 * [taylor]: Taking taylor expansion of y in x 3.528 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.528 * [taylor]: Taking taylor expansion of 1/3 in x 3.528 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.528 * [taylor]: Taking taylor expansion of (+ x y) in x 3.528 * [taylor]: Taking taylor expansion of x in x 3.528 * [taylor]: Taking taylor expansion of y in x 3.528 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.528 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.529 * [taylor]: Taking taylor expansion of 1/3 in y 3.529 * [taylor]: Taking taylor expansion of (log y) in y 3.529 * [taylor]: Taking taylor expansion of y in y 3.531 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 3.531 * [taylor]: Taking taylor expansion of 1/3 in y 3.531 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 3.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 3.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 3.531 * [taylor]: Taking taylor expansion of 1/3 in y 3.531 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.531 * [taylor]: Taking taylor expansion of y in y 3.536 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow y 5)) 1/3)) in y 3.536 * [taylor]: Taking taylor expansion of -1/9 in y 3.536 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 3.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 3.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 3.536 * [taylor]: Taking taylor expansion of 1/3 in y 3.536 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 3.536 * [taylor]: Taking taylor expansion of (pow y 5) in y 3.536 * [taylor]: Taking taylor expansion of y in y 3.538 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 3.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.538 * [taylor]: Taking taylor expansion of 1/3 in y 3.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.538 * [taylor]: Taking taylor expansion of y in y 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.538 * [taylor]: Taking taylor expansion of x in y 3.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.540 * [taylor]: Taking taylor expansion of 1/3 in x 3.540 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.540 * [taylor]: Taking taylor expansion of y in x 3.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.540 * [taylor]: Taking taylor expansion of x in x 3.541 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.541 * [taylor]: Taking taylor expansion of 1/3 in x 3.541 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.541 * [taylor]: Taking taylor expansion of y in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.541 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 3.542 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 3.542 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 3.542 * [taylor]: Taking taylor expansion of -1/3 in y 3.542 * [taylor]: Taking taylor expansion of (log x) in y 3.542 * [taylor]: Taking taylor expansion of x in y 3.544 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 x) 1/3) (/ 1 y))) in y 3.544 * [taylor]: Taking taylor expansion of 1/3 in y 3.544 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 y)) in y 3.544 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.544 * [taylor]: Taking taylor expansion of 1/3 in y 3.544 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.544 * [taylor]: Taking taylor expansion of x in y 3.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.544 * [taylor]: Taking taylor expansion of y in y 3.551 * [taylor]: Taking taylor expansion of (* -1/9 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 3.551 * [taylor]: Taking taylor expansion of -1/9 in y 3.551 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 3.551 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.551 * [taylor]: Taking taylor expansion of 1/3 in y 3.551 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.551 * [taylor]: Taking taylor expansion of x in y 3.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.551 * [taylor]: Taking taylor expansion of y in y 3.569 * [taylor]: Taking taylor expansion of (* 5/81 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3)))) in y 3.569 * [taylor]: Taking taylor expansion of 5/81 in y 3.569 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3))) in y 3.569 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.569 * [taylor]: Taking taylor expansion of 1/3 in y 3.569 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.569 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.569 * [taylor]: Taking taylor expansion of x in y 3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.569 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.569 * [taylor]: Taking taylor expansion of y in y 3.584 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 3.584 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 3.584 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.584 * [taylor]: Taking taylor expansion of -1 in y 3.585 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.585 * [taylor]: Taking taylor expansion of 1/3 in y 3.585 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.585 * [taylor]: Taking taylor expansion of y in y 3.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.585 * [taylor]: Taking taylor expansion of x in y 3.586 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.586 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.586 * [taylor]: Taking taylor expansion of -1 in x 3.587 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.587 * [taylor]: Taking taylor expansion of 1/3 in x 3.587 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.587 * [taylor]: Taking taylor expansion of y in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.588 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.588 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.588 * [taylor]: Taking taylor expansion of -1 in x 3.589 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.589 * [taylor]: Taking taylor expansion of 1/3 in x 3.589 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.589 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.589 * [taylor]: Taking taylor expansion of y in x 3.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.591 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 3.591 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.591 * [taylor]: Taking taylor expansion of -1 in y 3.592 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.592 * [taylor]: Taking taylor expansion of 1/3 in y 3.592 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.592 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.592 * [taylor]: Taking taylor expansion of x in y 3.595 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3))) in y 3.595 * [taylor]: Taking taylor expansion of 1/3 in y 3.595 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3)) in y 3.595 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 3.595 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.595 * [taylor]: Taking taylor expansion of -1 in y 3.596 * [taylor]: Taking taylor expansion of y in y 3.596 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.596 * [taylor]: Taking taylor expansion of 1/3 in y 3.596 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.596 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.596 * [taylor]: Taking taylor expansion of x in y 3.606 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)))) in y 3.606 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3))) in y 3.606 * [taylor]: Taking taylor expansion of 1/9 in y 3.606 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)) in y 3.606 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 3.606 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.606 * [taylor]: Taking taylor expansion of -1 in y 3.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.610 * [taylor]: Taking taylor expansion of y in y 3.611 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.611 * [taylor]: Taking taylor expansion of 1/3 in y 3.611 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.611 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.611 * [taylor]: Taking taylor expansion of x in y 3.635 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3))) in y 3.635 * [taylor]: Taking taylor expansion of 5/81 in y 3.635 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3)) in y 3.635 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 3.635 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.635 * [taylor]: Taking taylor expansion of -1 in y 3.636 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.636 * [taylor]: Taking taylor expansion of y in y 3.637 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.637 * [taylor]: Taking taylor expansion of 1/3 in y 3.637 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.637 * [taylor]: Taking taylor expansion of x in y 3.654 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 3.654 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (x y) around 0 3.655 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 3.655 * [taylor]: Taking taylor expansion of 1/3 in y 3.655 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 3.655 * [taylor]: Taking taylor expansion of (+ x y) in y 3.655 * [taylor]: Taking taylor expansion of x in y 3.655 * [taylor]: Taking taylor expansion of y in y 3.655 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.655 * [taylor]: Taking taylor expansion of 1/3 in x 3.655 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.655 * [taylor]: Taking taylor expansion of (+ x y) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of y in x 3.655 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.655 * [taylor]: Taking taylor expansion of 1/3 in x 3.655 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.655 * [taylor]: Taking taylor expansion of (+ x y) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of y in x 3.655 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.655 * [taylor]: Taking taylor expansion of 1/3 in y 3.655 * [taylor]: Taking taylor expansion of (log y) in y 3.655 * [taylor]: Taking taylor expansion of y in y 3.657 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 3.657 * [taylor]: Taking taylor expansion of 1/3 in y 3.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 3.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 3.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 3.657 * [taylor]: Taking taylor expansion of 1/3 in y 3.657 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 3.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.657 * [taylor]: Taking taylor expansion of y in y 3.662 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow y 5)) 1/3)) in y 3.662 * [taylor]: Taking taylor expansion of -1/9 in y 3.662 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 3.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 3.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 3.662 * [taylor]: Taking taylor expansion of 1/3 in y 3.662 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 3.662 * [taylor]: Taking taylor expansion of (pow y 5) in y 3.662 * [taylor]: Taking taylor expansion of y in y 3.665 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 3.665 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.665 * [taylor]: Taking taylor expansion of 1/3 in y 3.665 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.665 * [taylor]: Taking taylor expansion of y in y 3.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.665 * [taylor]: Taking taylor expansion of x in y 3.666 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.666 * [taylor]: Taking taylor expansion of 1/3 in x 3.666 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.666 * [taylor]: Taking taylor expansion of y in x 3.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.667 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.668 * [taylor]: Taking taylor expansion of 1/3 in x 3.668 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.668 * [taylor]: Taking taylor expansion of y in x 3.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.669 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 3.669 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 3.669 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 3.669 * [taylor]: Taking taylor expansion of -1/3 in y 3.669 * [taylor]: Taking taylor expansion of (log x) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.670 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 x) 1/3) (/ 1 y))) in y 3.670 * [taylor]: Taking taylor expansion of 1/3 in y 3.670 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 y)) in y 3.671 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.671 * [taylor]: Taking taylor expansion of 1/3 in y 3.671 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.671 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.671 * [taylor]: Taking taylor expansion of x in y 3.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.671 * [taylor]: Taking taylor expansion of y in y 3.677 * [taylor]: Taking taylor expansion of (* -1/9 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 3.677 * [taylor]: Taking taylor expansion of -1/9 in y 3.678 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 3.678 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.678 * [taylor]: Taking taylor expansion of 1/3 in y 3.678 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.678 * [taylor]: Taking taylor expansion of x in y 3.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.678 * [taylor]: Taking taylor expansion of y in y 3.699 * [taylor]: Taking taylor expansion of (* 5/81 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3)))) in y 3.699 * [taylor]: Taking taylor expansion of 5/81 in y 3.699 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3))) in y 3.699 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.699 * [taylor]: Taking taylor expansion of 1/3 in y 3.699 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.699 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.699 * [taylor]: Taking taylor expansion of x in y 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.699 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.699 * [taylor]: Taking taylor expansion of y in y 3.714 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 3.714 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 3.714 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.714 * [taylor]: Taking taylor expansion of -1 in y 3.715 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.715 * [taylor]: Taking taylor expansion of 1/3 in y 3.715 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.715 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.715 * [taylor]: Taking taylor expansion of y in y 3.715 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.715 * [taylor]: Taking taylor expansion of x in y 3.716 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.716 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.716 * [taylor]: Taking taylor expansion of -1 in x 3.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.717 * [taylor]: Taking taylor expansion of 1/3 in x 3.717 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.717 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.717 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.717 * [taylor]: Taking taylor expansion of y in x 3.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.718 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.718 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.718 * [taylor]: Taking taylor expansion of -1 in x 3.719 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.719 * [taylor]: Taking taylor expansion of 1/3 in x 3.719 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.719 * [taylor]: Taking taylor expansion of y in x 3.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.719 * [taylor]: Taking taylor expansion of x in x 3.720 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 3.720 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.720 * [taylor]: Taking taylor expansion of -1 in y 3.721 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.721 * [taylor]: Taking taylor expansion of 1/3 in y 3.721 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.721 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.721 * [taylor]: Taking taylor expansion of x in y 3.724 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3))) in y 3.724 * [taylor]: Taking taylor expansion of 1/3 in y 3.724 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3)) in y 3.724 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 3.724 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.724 * [taylor]: Taking taylor expansion of -1 in y 3.725 * [taylor]: Taking taylor expansion of y in y 3.725 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.726 * [taylor]: Taking taylor expansion of 1/3 in y 3.726 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.726 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.726 * [taylor]: Taking taylor expansion of x in y 3.735 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)))) in y 3.735 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3))) in y 3.735 * [taylor]: Taking taylor expansion of 1/9 in y 3.735 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)) in y 3.735 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 3.735 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.735 * [taylor]: Taking taylor expansion of -1 in y 3.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.736 * [taylor]: Taking taylor expansion of y in y 3.737 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.737 * [taylor]: Taking taylor expansion of 1/3 in y 3.737 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.737 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.737 * [taylor]: Taking taylor expansion of x in y 3.761 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3))) in y 3.761 * [taylor]: Taking taylor expansion of 5/81 in y 3.761 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3)) in y 3.761 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 3.761 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.761 * [taylor]: Taking taylor expansion of -1 in y 3.762 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.762 * [taylor]: Taking taylor expansion of y in y 3.763 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.763 * [taylor]: Taking taylor expansion of 1/3 in y 3.763 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.763 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.763 * [taylor]: Taking taylor expansion of x in y 3.780 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 3.780 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (x y) around 0 3.780 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 3.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 3.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 3.780 * [taylor]: Taking taylor expansion of 1/3 in y 3.780 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 3.780 * [taylor]: Taking taylor expansion of (+ x y) in y 3.780 * [taylor]: Taking taylor expansion of x in y 3.780 * [taylor]: Taking taylor expansion of y in y 3.780 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.781 * [taylor]: Taking taylor expansion of 1/3 in x 3.781 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.781 * [taylor]: Taking taylor expansion of (+ x y) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [taylor]: Taking taylor expansion of y in x 3.781 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 3.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 3.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 3.781 * [taylor]: Taking taylor expansion of 1/3 in x 3.781 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 3.781 * [taylor]: Taking taylor expansion of (+ x y) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [taylor]: Taking taylor expansion of y in x 3.781 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.781 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.781 * [taylor]: Taking taylor expansion of 1/3 in y 3.781 * [taylor]: Taking taylor expansion of (log y) in y 3.781 * [taylor]: Taking taylor expansion of y in y 3.786 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 3.786 * [taylor]: Taking taylor expansion of 1/3 in y 3.786 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 3.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 3.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 3.786 * [taylor]: Taking taylor expansion of 1/3 in y 3.786 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.786 * [taylor]: Taking taylor expansion of y in y 3.791 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow y 5)) 1/3)) in y 3.791 * [taylor]: Taking taylor expansion of -1/9 in y 3.791 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 3.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 3.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 3.791 * [taylor]: Taking taylor expansion of 1/3 in y 3.791 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 3.791 * [taylor]: Taking taylor expansion of (pow y 5) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.793 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 3.793 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.793 * [taylor]: Taking taylor expansion of 1/3 in y 3.794 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.794 * [taylor]: Taking taylor expansion of y in y 3.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.794 * [taylor]: Taking taylor expansion of x in y 3.795 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.795 * [taylor]: Taking taylor expansion of 1/3 in x 3.795 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.795 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.795 * [taylor]: Taking taylor expansion of y in x 3.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.795 * [taylor]: Taking taylor expansion of x in x 3.796 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.796 * [taylor]: Taking taylor expansion of 1/3 in x 3.796 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.797 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 3.797 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 3.797 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 3.797 * [taylor]: Taking taylor expansion of -1/3 in y 3.797 * [taylor]: Taking taylor expansion of (log x) in y 3.797 * [taylor]: Taking taylor expansion of x in y 3.799 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 x) 1/3) (/ 1 y))) in y 3.799 * [taylor]: Taking taylor expansion of 1/3 in y 3.799 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 y)) in y 3.799 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.799 * [taylor]: Taking taylor expansion of 1/3 in y 3.799 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.799 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.799 * [taylor]: Taking taylor expansion of x in y 3.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.799 * [taylor]: Taking taylor expansion of y in y 3.806 * [taylor]: Taking taylor expansion of (* -1/9 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 3.806 * [taylor]: Taking taylor expansion of -1/9 in y 3.806 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 3.806 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.806 * [taylor]: Taking taylor expansion of 1/3 in y 3.806 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.806 * [taylor]: Taking taylor expansion of x in y 3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.806 * [taylor]: Taking taylor expansion of y in y 3.824 * [taylor]: Taking taylor expansion of (* 5/81 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3)))) in y 3.824 * [taylor]: Taking taylor expansion of 5/81 in y 3.824 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3))) in y 3.824 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.824 * [taylor]: Taking taylor expansion of 1/3 in y 3.824 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.824 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.824 * [taylor]: Taking taylor expansion of x in y 3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.824 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.824 * [taylor]: Taking taylor expansion of y in y 3.838 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 3.838 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 3.838 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.838 * [taylor]: Taking taylor expansion of -1 in y 3.839 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 3.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 3.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 3.839 * [taylor]: Taking taylor expansion of 1/3 in y 3.839 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 3.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.839 * [taylor]: Taking taylor expansion of y in y 3.840 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.840 * [taylor]: Taking taylor expansion of x in y 3.841 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.841 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.841 * [taylor]: Taking taylor expansion of -1 in x 3.841 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.842 * [taylor]: Taking taylor expansion of 1/3 in x 3.842 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.842 * [taylor]: Taking taylor expansion of y in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.843 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 3.843 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.843 * [taylor]: Taking taylor expansion of -1 in x 3.844 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 3.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 3.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 3.844 * [taylor]: Taking taylor expansion of 1/3 in x 3.844 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 3.844 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.844 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.844 * [taylor]: Taking taylor expansion of y in x 3.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.845 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 3.845 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.845 * [taylor]: Taking taylor expansion of -1 in y 3.846 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.846 * [taylor]: Taking taylor expansion of 1/3 in y 3.846 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.846 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.846 * [taylor]: Taking taylor expansion of x in y 3.850 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3))) in y 3.850 * [taylor]: Taking taylor expansion of 1/3 in y 3.850 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3)) in y 3.850 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 3.850 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.850 * [taylor]: Taking taylor expansion of -1 in y 3.850 * [taylor]: Taking taylor expansion of y in y 3.851 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.851 * [taylor]: Taking taylor expansion of 1/3 in y 3.851 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.851 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.851 * [taylor]: Taking taylor expansion of x in y 3.860 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)))) in y 3.861 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3))) in y 3.861 * [taylor]: Taking taylor expansion of 1/9 in y 3.861 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)) in y 3.861 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 3.861 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.861 * [taylor]: Taking taylor expansion of -1 in y 3.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.861 * [taylor]: Taking taylor expansion of y in y 3.862 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.862 * [taylor]: Taking taylor expansion of 1/3 in y 3.862 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.862 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.862 * [taylor]: Taking taylor expansion of x in y 3.889 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3))) in y 3.889 * [taylor]: Taking taylor expansion of 5/81 in y 3.889 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3)) in y 3.889 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 3.889 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.889 * [taylor]: Taking taylor expansion of -1 in y 3.890 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.890 * [taylor]: Taking taylor expansion of y in y 3.891 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 3.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 3.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 3.891 * [taylor]: Taking taylor expansion of 1/3 in y 3.891 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 3.891 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.891 * [taylor]: Taking taylor expansion of x in y 3.908 * * * [progress]: simplifying candidates 3.910 * [simplify]: Simplifying using # : (expm1 (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (log1p (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (- (- (+ (log (cbrt (+ x y))) (log (cbrt (+ x y)))) (log x)) (+ (log (cbrt y)) (log (cbrt y)))) (- (- (+ (log (cbrt (+ x y))) (log (cbrt (+ x y)))) (log x)) (log (* (cbrt y) (cbrt y)))) (- (- (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (log x)) (+ (log (cbrt y)) (log (cbrt y)))) (- (- (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (log x)) (log (* (cbrt y) (cbrt y)))) (- (log (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (+ (log (cbrt y)) (log (cbrt y)))) (- (log (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (log (* (cbrt y) (cbrt y)))) (log (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (exp (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (/ (/ (* (+ x y) (+ x y)) (* (* x x) x)) (* y y)) (/ (/ (* (+ x y) (+ x y)) (* (* x x) x)) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (/ (/ (* (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* x x) x)) (* y y)) (/ (/ (* (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* x x) x)) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (/ (* (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (* y y)) (/ (* (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (* (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))))) (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (* (* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (sqrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (sqrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))) (- (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (- (* (cbrt y) (cbrt y))) (/ (* (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x))) (cbrt y)) (/ (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt y)) (/ (sqrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt y)) (/ (sqrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt y)) (/ (/ (cbrt (+ x y)) (* (cbrt x) (cbrt x))) (cbrt y)) (/ (/ (cbrt (+ x y)) (cbrt x)) (cbrt y)) (/ (/ (cbrt (+ x y)) (sqrt x)) (cbrt y)) (/ (/ (cbrt (+ x y)) (sqrt x)) (cbrt y)) (/ (/ (cbrt (+ x y)) 1) (cbrt y)) (/ (/ (cbrt (+ x y)) x) (cbrt y)) (/ 1 (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (/ 1 x) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (cbrt y)) (/ (* (cbrt y) (cbrt y)) (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x))) (/ (* (cbrt y) (cbrt y)) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt y) (cbrt y)) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt y) (cbrt y)) (/ (cbrt (+ x y)) x)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (/ (* (cbrt y) (cbrt y)) (/ 1 x)) (* (* (cbrt y) (cbrt y)) x) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (/ 1 x) (/ (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) x) (/ (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) x) (- (+ (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (+ (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (+ (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.915 * * [simplify]: iteration 0 : 156 enodes (cost 1456 ) 3.949 * * [simplify]: iteration 1 : 406 enodes (cost 1378 ) 4.040 * * [simplify]: iteration 2 : 1566 enodes (cost 1136 ) 4.397 * * [simplify]: iteration done : 5000 enodes (cost 1136 ) 4.398 * [simplify]: Simplified to: (expm1 (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (log1p (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (- (* 2 (log (cbrt (+ x y)))) (log (* (pow y 2/3) x))) (exp (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (/ (/ (* (+ x y) (+ x y)) (pow x 3)) (* y y)) (/ (* (+ x y) (+ x y)) (* (pow (pow y 2/3) 3) (pow x 3))) (/ (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 3) (* y y)) (pow (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3)) 3) (/ (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 3) (* y y)) (pow (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3)) 3) (* (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3)))) (cbrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (pow (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3)) 3) (sqrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (sqrt (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (pow y 2/3))) (- (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (- (pow y 2/3)) (/ (* (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x))) (cbrt y)) (/ (cbrt (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x)) (cbrt y)) (/ (sqrt (/ (* (cbrt (+ x y)) 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y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) 1 (cbrt (+ x y)) 1 (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (fma x x (* y (- y x)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (pow (cbrt (+ x y)) 3) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) 1 (cbrt (+ x y)) 1 (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (fma x x (* y (- y x)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (pow (cbrt (+ x y)) 3) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) 1 (cbrt (+ x y)) 1 (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (fma x x (* y (- y x)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (pow (cbrt (+ x y)) 3) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (/ 1 x) (/ (exp (* 2/3 (- (- (log y)) (- (log x))))) x) (/ (exp (* 2/3 (- (log (/ -1 y)) (log (/ -1 x))))) x) (- (fma 1/3 (* (cbrt (/ 1 (pow y 2))) x) (cbrt y)) (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/9)) (pow (/ 1 x) -1/3) (* (cbrt (- x)) (cbrt -1)) (- (fma 1/3 (* (cbrt (/ 1 (pow y 2))) x) (cbrt y)) (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/9)) (pow (/ 1 x) -1/3) (* (cbrt (- x)) (cbrt -1)) (- (fma 1/3 (* (cbrt (/ 1 (pow y 2))) x) (cbrt y)) (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/9)) (pow (/ 1 x) -1/3) (* (cbrt (- x)) (cbrt -1)) 4.398 * * * [progress]: adding candidates to table 4.692 * [progress]: [Phase 3 of 3] Extracting. 4.692 * * [regime]: Finding splitpoints for: (# # #) 4.693 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.693 * * * * [regimes]: Trying to branch on y from (# # #) 4.706 * * * * [regimes]: Trying to branch on x from (# # #) 4.722 * * * [regime]: Found split indices: #