20.032 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.072 * [simplify]: Simplifying using # : (/ (exp (* x (log (/ x (+ x y))))) x) 0.074 * * [simplify]: iteration 0 : 15 enodes (cost 6 ) 0.076 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.077 * * [simplify]: iteration 2 : 51 enodes (cost 6 ) 0.078 * * [simplify]: iteration 3 : 106 enodes (cost 6 ) 0.080 * * [simplify]: iteration 4 : 304 enodes (cost 4 ) 0.085 * * [simplify]: iteration 5 : 774 enodes (cost 4 ) 0.099 * * [simplify]: iteration 6 : 4142 enodes (cost 4 ) 0.186 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.187 * [simplify]: Simplified to: (/ (pow (/ x (+ x y)) x) x) 0.191 * * [progress]: iteration 1 / 4 0.191 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.201 * * * [progress]: generating rewritten candidates 0.201 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.208 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.213 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.232 * [approximate]: Approximating (pow (/ x (+ x y)) x) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.238 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.241 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.251 * [approximate]: Approximating (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.385 * [approximate]: Approximating (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.410 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.421 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.456 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.526 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.526 * [approximate]: Approximating (/ x (+ x y)) in (x y) around 0 0.526 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.527 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.541 * [approximate]: Approximating (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.563 * [approximate]: Approximating (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.579 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.580 * [approximate]: Approximating (/ (pow (/ x (+ x y)) x) x) in (x y) around 0 0.586 * [taylor]: Taking taylor expansion of (/ (pow (/ x (+ x y)) x) x) in y 0.586 * [taylor]: Taking taylor expansion of (/ (pow (/ x (+ x y)) x) x) in y 0.591 * [taylor]: Taking taylor expansion of (/ (pow (/ x (+ x y)) x) x) in y 0.597 * [approximate]: Approximating (* x (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 0.611 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 0.616 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 0.624 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 0.644 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 0.671 * [approximate]: Approximating (* -1 (* (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) x)) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) x)) in y 0.692 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) x)) in y 0.700 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) x)) in y 0.720 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) x)) in y 0.747 * * * [progress]: simplifying candidates 0.750 * [simplify]: Simplifying using # : (* (- (log x) (log (+ x y))) x) (* (log (/ x (+ x y))) x) (* (log (/ x (+ x y))) x) (* 1 x) (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (pow (/ x (+ x y)) 1) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow 1 x) (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (* (* (pow (/ x (+ x y)) x) (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (neg x) (neg (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (- (* (- (log x) (log (+ x y))) x) (log x)) (- (* (log (/ x (+ x y))) x) (log x)) (- (* (log (/ x (+ x y))) x) (log x)) (- (log (pow (/ x (+ x y)) x)) (log x)) (log (/ (pow (/ x (+ x y)) x) x)) (exp (/ (pow (/ x (+ x y)) x) x)) (/ (* (* (pow (/ x (+ x y)) x) (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) x)) (* (* x x) x)) (* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x))) (cbrt (/ (pow (/ x (+ x y)) x) x)) (* (* (/ (pow (/ x (+ x y)) x) x) (/ (pow (/ x (+ x y)) x) x)) (/ (pow (/ x (+ x y)) x) x)) (sqrt (/ (pow (/ x (+ x y)) x) x)) (sqrt (/ (pow (/ x (+ x y)) x) x)) (neg (pow (/ x (+ x y)) x)) (neg x) (/ (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (cbrt (/ x (+ x y))) x) (cbrt x)) (/ (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (sqrt x)) (/ (pow (cbrt (/ x (+ x y))) x) (sqrt x)) (/ (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) 1) (/ (pow (cbrt (/ x (+ x y))) x) x) (/ (pow (sqrt (/ x (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (sqrt (/ x (+ x y))) x) (cbrt x)) (/ (pow (sqrt (/ x (+ x y))) x) (sqrt x)) (/ (pow (sqrt (/ x (+ x y))) x) (sqrt x)) (/ (pow (sqrt (/ x (+ x y))) x) 1) (/ (pow (sqrt (/ x (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) (sqrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) 1) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) 1) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (sqrt x)) (/ (pow (/ (cbrt x) (+ x y)) x) (sqrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) 1) (/ (pow (/ (cbrt x) (+ x y)) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (sqrt x)) (/ (pow (/ (cbrt x) (+ x y)) x) (sqrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) 1) (/ (pow (/ (cbrt x) (+ x y)) x) x) (/ (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) (sqrt x)) (/ (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) 1) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) x) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) 1) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) x) (/ (pow (/ (sqrt x) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (sqrt x) 1) x) (sqrt x)) (/ (pow (/ (sqrt x) (+ x y)) x) (sqrt x)) (/ (pow (/ (sqrt x) 1) x) 1) (/ (pow (/ (sqrt x) (+ x y)) x) x) (/ (pow (/ (sqrt x) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (sqrt x) 1) x) (sqrt x)) (/ (pow (/ (sqrt x) (+ x y)) x) (sqrt x)) (/ (pow (/ (sqrt x) 1) x) 1) (/ (pow (/ (sqrt x) (+ x y)) x) x) (/ (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ x (cbrt (+ x y))) x) (sqrt x)) (/ (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) 1) (/ (pow (/ x (cbrt (+ x y))) x) x) (/ (pow (/ 1 (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ 1 (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ x (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ 1 (sqrt (+ x y))) x) 1) (/ (pow (/ x (sqrt (+ x y))) x) x) (/ (pow (/ 1 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ (pow (/ 1 1) x) (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) (/ (pow (/ 1 1) x) 1) (/ (pow (/ x (+ x y)) x) x) (/ (pow (/ 1 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ (pow (/ 1 1) x) (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) (/ (pow (/ 1 1) x) 1) (/ (pow (/ x (+ x y)) x) x) (/ (pow 1 x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ (pow 1 x) (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) (/ (pow 1 x) 1) (/ (pow (/ x (+ x y)) x) x) (/ (pow x x) (* (cbrt x) (cbrt x))) (/ (pow (/ 1 (+ x y)) x) (cbrt x)) (/ (pow x x) (sqrt x)) (/ (pow (/ 1 (+ x y)) x) (sqrt x)) (/ (pow x x) 1) (/ (pow (/ 1 (+ x y)) x) x) (/ (pow (/ x (+ (pow x 3) (pow y 3))) x) (* (cbrt x) (cbrt x))) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) (cbrt x)) (/ (pow (/ x (+ (pow x 3) (pow y 3))) x) (sqrt x)) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) (sqrt x)) (/ (pow (/ x (+ (pow x 3) (pow y 3))) x) 1) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) x) (/ (pow (/ x (- (* x x) (* y y))) x) (* (cbrt x) (cbrt x))) (/ (pow (- x y) x) (cbrt x)) (/ (pow (/ x (- (* x x) (* y y))) x) (sqrt x)) (/ (pow (- x y) x) (sqrt x)) (/ (pow (/ x (- (* x x) (* y y))) x) 1) (/ (pow (- x y) x) x) (/ (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (pow (/ x (+ x y)) x)) (cbrt x)) (/ (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (sqrt x)) (/ (cbrt (pow (/ x (+ x y)) x)) (sqrt x)) (/ (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) 1) (/ (cbrt (pow (/ x (+ x y)) x)) x) (/ (sqrt (pow (/ x (+ x y)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (pow (/ x (+ x y)) x)) (cbrt x)) (/ (sqrt (pow (/ x (+ x y)) x)) (sqrt x)) (/ (sqrt (pow (/ x (+ x y)) x)) (sqrt x)) (/ (sqrt (pow (/ x (+ x y)) x)) 1) (/ (sqrt (pow (/ x (+ x y)) x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) (/ 1 1) (/ (pow (/ x (+ x y)) x) x) (/ (pow (/ x (+ x y)) (/ x 2)) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) (/ x 2)) (cbrt x)) (/ (pow (/ x (+ x y)) (/ x 2)) (sqrt x)) (/ (pow (/ x (+ x y)) (/ x 2)) (sqrt x)) (/ (pow (/ x (+ x y)) (/ x 2)) 1) (/ (pow (/ x (+ x y)) (/ x 2)) x) (/ 1 x) (/ x (pow (/ x (+ x y)) x)) (/ (pow (/ x (+ x y)) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (sqrt x)) (/ (pow (/ x (+ x y)) x) 1) (/ x (pow (cbrt (/ x (+ x y))) x)) (/ x (pow (sqrt (/ x (+ x y))) x)) (/ x (pow (/ (cbrt x) (cbrt (+ x y))) x)) (/ x (pow (/ (cbrt x) (sqrt (+ x y))) x)) (/ x (pow (/ (cbrt x) (+ x y)) x)) (/ x (pow (/ (cbrt x) (+ x y)) x)) (/ x (pow (/ (sqrt x) (cbrt (+ x y))) x)) (/ x (pow (/ (sqrt x) (sqrt (+ x y))) x)) (/ x (pow (/ (sqrt x) (+ x y)) x)) (/ x (pow (/ (sqrt x) (+ x y)) x)) (/ x (pow (/ x (cbrt (+ x y))) x)) (/ x (pow (/ x (sqrt (+ x y))) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ 1 (+ x y)) x)) (/ x (pow (+ (* x x) (- (* y y) (* x y))) x)) (/ x (pow (- x y) x)) (/ x (cbrt (pow (/ x (+ x y)) x))) (/ x (sqrt (pow (/ x (+ x y)) x))) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) (/ x 2))) (- (+ (* 1/2 (* (pow x 2) (pow (log y) 2))) (+ (* (log x) x) (+ (* 1/2 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* x (log y)) (* (log x) (* (pow x 2) (log y))))) (exp (neg y)) (exp (* -1 y)) 0 0 0 (- (+ (* 1/2 (* x (pow (log y) 2))) (+ (log x) (+ (* 1/2 (* (pow (log x) 2) x)) (/ 1 x)))) (+ (log y) (* (log x) (* x (log y))))) (/ (exp (neg y)) x) (/ (exp (* -1 y)) x) 0.758 * * [simplify]: iteration 0 : 537 enodes (cost 1436 ) 0.769 * * [simplify]: iteration 1 : 2640 enodes (cost 1406 ) 0.808 * * [simplify]: iteration 2 : 5002 enodes (cost 1406 ) 0.817 * [simplify]: Simplified to: (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) x (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (/ x (+ x y)) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (pow (pow (/ x (+ x y)) x) 3) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 1/2) (pow (/ x (+ x y)) 1/2) (neg x) (neg (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (log (/ (pow (/ x (+ x y)) x) x)) (log (/ (pow (/ x (+ x y)) x) x)) (log (/ (pow (/ x (+ x y)) x) x)) (log (/ (pow (/ x (+ x y)) x) x)) (log (/ (pow (/ x (+ x y)) x) x)) (exp (/ (pow (/ x (+ x y)) x) x)) (pow (/ (pow (/ x (+ x y)) x) x) 3) (* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x))) (cbrt (/ (pow (/ x (+ x y)) x) x)) (pow (/ (pow (/ x (+ x y)) x) x) 3) (sqrt (/ (pow (/ x (+ x y)) x) x)) (sqrt (/ (pow (/ x (+ x y)) x) x)) (neg (pow (/ x (+ x y)) x)) (neg x) (/ (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (cbrt (/ x (+ x y))) x) (cbrt x)) (/ (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (sqrt x)) (/ (pow (cbrt (/ x (+ x y))) x) (sqrt x)) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (/ (pow (cbrt (/ x (+ x y))) x) x) (/ (pow (sqrt (/ x (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (sqrt (/ x (+ x y))) x) (cbrt x)) (/ (pow (sqrt (/ x (+ x y))) x) (sqrt x)) (/ (pow (sqrt (/ x (+ x y))) x) (sqrt x)) (pow (sqrt (/ x (+ x y))) x) (/ (pow (sqrt (/ x (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (/ (pow (/ (cbrt x) (cbrt (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (/ (pow (/ (cbrt x) (sqrt (+ x y))) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (sqrt x)) (/ (pow (/ (cbrt x) (+ x y)) x) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (/ (pow (/ (cbrt x) (+ x y)) x) x) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (cbrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (* (cbrt x) (cbrt x)) 1) x) (sqrt x)) (/ (pow (/ (cbrt x) (+ x y)) x) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (/ (pow (/ (cbrt x) (+ x y)) x) x) (/ (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) (sqrt x)) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (/ (pow (/ (sqrt x) (cbrt (+ x y))) x) x) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) (sqrt x)) (pow (/ (sqrt x) (sqrt (+ x y))) x) (/ (pow (/ (sqrt x) (sqrt (+ x y))) x) x) (/ (pow (/ (sqrt x) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (sqrt x) 1) x) (sqrt x)) (/ (pow (/ (sqrt x) (+ x y)) x) (sqrt x)) (pow (/ (sqrt x) 1) x) (/ (pow (/ (sqrt x) (+ x y)) x) x) (/ (pow (/ (sqrt x) 1) x) (* (cbrt x) (cbrt x))) (/ (pow (/ (sqrt x) (+ x y)) x) (cbrt x)) (/ (pow (/ (sqrt x) 1) x) (sqrt x)) (/ (pow (/ (sqrt x) (+ x y)) x) (sqrt x)) (pow (/ (sqrt x) 1) x) (/ (pow (/ (sqrt x) (+ x y)) x) x) (/ (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (cbrt (+ x y))) x) (cbrt x)) (/ (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (sqrt x)) (/ (pow (/ x (cbrt (+ x y))) x) (sqrt x)) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (/ (pow (/ x (cbrt (+ x y))) x) x) (/ (pow (/ 1 (sqrt (+ x y))) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (sqrt (+ x y))) x) (cbrt x)) (/ (pow (/ 1 (sqrt (+ x y))) x) (sqrt x)) (/ (pow (/ x (sqrt (+ x y))) x) (sqrt x)) (pow (/ 1 (sqrt (+ x y))) x) (/ (pow (/ x (sqrt (+ x y))) x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) 1 (/ (pow (/ x (+ x y)) x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) 1 (/ (pow (/ x (+ x y)) x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) 1 (/ (pow (/ x (+ x y)) x) x) (/ (pow x x) (* (cbrt x) (cbrt x))) (/ (pow (/ 1 (+ x y)) x) (cbrt x)) (/ (pow x x) (sqrt x)) (/ (pow (/ 1 (+ x y)) x) (sqrt x)) (pow x x) (/ (pow (/ 1 (+ x y)) x) x) (/ (pow (/ x (+ (pow x 3) (pow y 3))) x) (* (cbrt x) (cbrt x))) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) (cbrt x)) (/ (pow (/ x (+ (pow x 3) (pow y 3))) x) (sqrt x)) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) (sqrt x)) (pow (/ x (+ (pow x 3) (pow y 3))) x) (/ (pow (+ (* x x) (- (* y y) (* x y))) x) x) (/ (pow (/ x (- (* x x) (* y y))) x) (* (cbrt x) (cbrt x))) (/ (pow (- x y) x) (cbrt x)) (/ (pow (/ x (- (* x x) (* y y))) x) (sqrt x)) (/ (pow (- x y) x) (sqrt x)) (pow (/ x (- (* x x) (* y y))) x) (/ (pow (- x y) x) x) (/ (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (pow (/ x (+ x y)) x)) (cbrt x)) (/ (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (sqrt x)) (/ (cbrt (pow (/ x (+ x y)) x)) (sqrt x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (/ (cbrt (pow (/ x (+ x y)) x)) x) (/ (sqrt (pow (/ x (+ x y)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (pow (/ x (+ x y)) x)) (cbrt x)) (/ (sqrt (pow (/ x (+ x y)) x)) (sqrt x)) (/ (sqrt (pow (/ x (+ x y)) x)) (sqrt x)) (sqrt (pow (/ x (+ x y)) x)) (/ (sqrt (pow (/ x (+ x y)) x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (pow (/ x (+ x y)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (pow (/ x (+ x y)) x) (sqrt x)) 1 (/ (pow (/ x (+ x y)) x) x) (/ (pow (/ x (+ x y)) (/ x 2)) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) (/ x 2)) (cbrt x)) (/ (pow (/ x (+ x y)) (/ x 2)) (sqrt x)) (/ (pow (/ x (+ x y)) (/ x 2)) (sqrt x)) (pow (/ x (+ x y)) (/ x 2)) (/ (pow (/ x (+ x y)) (/ x 2)) x) (/ 1 x) (/ x (pow (/ x (+ x y)) x)) (/ (pow (/ x (+ x y)) x) (* (cbrt x) (cbrt x))) (/ (pow (/ x (+ x y)) x) (sqrt x)) (pow (/ x (+ x y)) x) (/ x (pow (cbrt (/ x (+ x y))) x)) (/ x (pow (sqrt (/ x (+ x y))) x)) (/ x (pow (/ (cbrt x) (cbrt (+ x y))) x)) (/ x (pow (/ (cbrt x) (sqrt (+ x y))) x)) (/ x (pow (/ (cbrt x) (+ x y)) x)) (/ x (pow (/ (cbrt x) (+ x y)) x)) (/ x (pow (/ (sqrt x) (cbrt (+ x y))) x)) (/ x (pow (/ (sqrt x) (sqrt (+ x y))) x)) (/ x (pow (/ (sqrt x) (+ x y)) x)) (/ x (pow (/ (sqrt x) (+ x y)) x)) (/ x (pow (/ x (cbrt (+ x y))) x)) (/ x (pow (/ x (sqrt (+ x y))) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ 1 (+ x y)) x)) (/ x (pow (+ (* x x) (- (* y y) (* x y))) x)) (/ x (pow (- x y) x)) (/ x (cbrt (pow (/ x (+ x y)) x))) (/ x (sqrt (pow (/ x (+ x y)) x))) (/ x (pow (/ x (+ x y)) x)) (/ x (pow (/ x (+ x y)) (/ x 2))) (+ (+ (* 1/2 (* (pow x 2) (pow (log y) 2))) (* (log x) x)) (- (+ (* 1/2 (* (pow (log x) 2) (pow x 2))) 1) (* (log y) (+ (* (log x) (pow x 2)) x)))) (exp (* -1 y)) (exp (* -1 y)) 0 0 0 (+ (+ (* 1/2 (* x (pow (log y) 2))) (log x)) (- (+ (* 1/2 (* (pow (log x) 2) x)) (/ 1 x)) (* (+ (* (log x) x) 1) (log y)))) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 0.818 * * * [progress]: adding candidates to table 2.007 * * [progress]: iteration 2 / 4 2.008 * * * [progress]: picking best candidate 2.019 * * * * [pick]: Picked # 2.019 * * * [progress]: localizing error 2.035 * * * [progress]: generating rewritten candidates 2.035 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 2.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.076 * * * [progress]: generating series expansions 2.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.076 * [approximate]: Approximating (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in (x y) around 0 2.089 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 2.089 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 2.096 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 2.103 * [approximate]: Approximating (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in (x y) around 0 2.121 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 2.129 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 2.149 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 2.192 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 2.255 * [approximate]: Approximating (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in (x y) around 0 2.273 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 2.281 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 2.301 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 2.342 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 2.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.411 * [approximate]: Approximating (pow (pow (/ x (+ x y)) 1/3) x) in (x y) around 0 2.420 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in y 2.420 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in y 2.424 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in y 2.431 * [approximate]: Approximating (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in (x y) around 0 2.452 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 2.460 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 2.474 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 2.516 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 2.580 * [approximate]: Approximating (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in (x y) around 0 2.601 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 2.608 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 2.622 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 2.661 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 2.729 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 2.730 * [approximate]: Approximating (pow (+ x y) 1/3) in (x y) around 0 2.730 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.732 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.738 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.741 * [approximate]: Approximating (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 2.748 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.781 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.800 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 2.807 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.812 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.828 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.861 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.885 * [approximate]: Approximating (pow (+ x y) 1/3) in (x y) around 0 2.885 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.887 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.893 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.896 * [approximate]: Approximating (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 2.900 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.902 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.914 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.937 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.956 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 2.963 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.967 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 3.017 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 3.041 * * * [progress]: simplifying candidates 3.043 * [simplify]: Simplifying using # : (* (- (+ (log (cbrt x)) (log (cbrt x))) (+ (log (cbrt (+ x y))) (log (cbrt (+ x y))))) x) (* (- (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (- (log (* (cbrt x) (cbrt x))) (+ (log (cbrt (+ x y))) (log (cbrt (+ x y))))) x) (* (- (log (* (cbrt x) (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* 1 x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt x) (cbrt x))) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 1) (pow (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))) x) (pow (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow 1 x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (- x y)) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (- (* x x) (* y y))))) x) (pow (cbrt (- x y)) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (exp (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x))) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (* (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (* (- (log (cbrt x)) (log (cbrt (+ x y)))) x) (* (log (/ (cbrt x) (cbrt (+ x y)))) x) (* (log (/ (cbrt x) (cbrt (+ x y)))) x) (* 1 x) (pow (/ (cbrt x) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (pow (/ (cbrt x) (cbrt (+ x y))) (sqrt x)) (pow (/ (cbrt x) (cbrt (+ x y))) 1) (pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x) (pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1)) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1)) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt 1)) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (cbrt 1)) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt 1) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt 1) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt 1) (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt 1) (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt 1) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt 1) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt 1) 1) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt 1)) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt 1)) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt 1)) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (cbrt 1)) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ 1 (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ 1 1) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow 1 x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (cbrt x) x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (cbrt x) (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (exp (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x))) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (* (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (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))) (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))) (- (+ (* 2/9 (* (pow x 2) (pow (log y) 2))) (+ (* 2/3 (* (log x) x)) (+ (* 2/9 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 2/3 (* x (log y))) (* 4/9 (* (log x) (* (pow x 2) (log y)))))) (exp (neg (* 2/3 y))) (exp (* -2/3 y)) (- (+ (* 1/18 (* (pow x 2) (pow (log y) 2))) (+ (* 1/3 (* (log x) x)) (+ (* 1/18 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 1/3 (* x (log y))) (* 1/9 (* (log x) (* (pow x 2) (log y)))))) (exp (neg (* 1/3 y))) (exp (* -1/3 y)) (- (+ (* 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)) 3.052 * * [simplify]: iteration 0 : 728 enodes (cost 1428 ) 3.064 * * [simplify]: iteration 1 : 2246 enodes (cost 1356 ) 3.099 * * [simplify]: iteration 2 : 5001 enodes (cost 1325 ) 3.106 * [simplify]: Simplified to: (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) x (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ (* (cbrt x) (cbrt x)) 2))) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ (sqrt x) 2))) (pow (/ (cbrt x) (cbrt (+ x y))) 2) (pow (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))) x) (pow (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ x 2))) (pow (* (cbrt x) (cbrt x)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (- x y)) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (exp (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x))) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ x 2))) 3) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (/ x 2)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (/ x 2)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) x (pow (/ (cbrt x) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (pow (/ (cbrt x) (cbrt (+ x y))) (sqrt x)) (/ (cbrt x) (cbrt (+ x y))) (pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x) (pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (cbrt x) x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (cbrt x) (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (exp (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x))) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) x) 3) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (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 (+ (* 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))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (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 (+ (* 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))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (- (+ (* 2/9 (* (pow x 2) (pow (log y) 2))) (+ (* 2/3 (* (log x) x)) (+ (* 2/9 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 2/3 (* x (log y))) (* 4/9 (* (log x) (* (pow x 2) (log y)))))) (exp (* -2/3 y)) (exp (* -2/3 y)) (- (+ (* 1/18 (* (pow x 2) (pow (log y) 2))) (+ (* 1/3 (* (log x) x)) (+ (* 1/18 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 1/3 (* x (log y))) (* 1/9 (* (log x) (* (pow x 2) (log y)))))) (exp (* -1/3 y)) (exp (* -1/3 y)) (- (+ (* 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)) 3.108 * * * [progress]: adding candidates to table 4.336 * * [progress]: iteration 3 / 4 4.336 * * * [progress]: picking best candidate 4.345 * * * * [pick]: Picked # 4.345 * * * [progress]: localizing error 4.349 * * * [progress]: generating rewritten candidates 4.349 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.354 * * * [progress]: generating series expansions 4.354 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.354 * [approximate]: Approximating (/ (exp (* -1 y)) x) in (y x) around 0 4.356 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 4.358 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 4.361 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 4.362 * [approximate]: Approximating (* (exp (/ -1 y)) x) in (y x) around 0 4.363 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 4.364 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 4.365 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 4.368 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 4.368 * [approximate]: Approximating (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 4.369 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 4.370 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 4.373 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 4.377 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 4.377 * * * [progress]: simplifying candidates 4.377 * [simplify]: Simplifying using # : (- (* -1 y) (log x)) (log (/ (exp (* -1 y)) x)) (exp (/ (exp (* -1 y)) x)) (/ (* (* (exp (* -1 y)) (exp (* -1 y))) (exp (* -1 y))) (* (* x x) x)) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (* (* (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x)) (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (neg (exp (* -1 y))) (neg x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) 1) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) 1) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) (/ 1 1) (/ (exp (* -1 y)) x) (/ 1 x) (/ x (exp (* -1 y))) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (/ (exp (* -1 y)) 1) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (/ x (exp (* -1 y))) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 4.381 * * [simplify]: iteration 0 : 114 enodes (cost 186 ) 4.383 * * [simplify]: iteration 1 : 303 enodes (cost 172 ) 4.391 * * [simplify]: iteration 2 : 1435 enodes (cost 169 ) 4.425 * * [simplify]: iteration 3 : 5001 enodes (cost 169 ) 4.426 * [simplify]: Simplified to: (- (* -1 y) (log x)) (- (* -1 y) (log x)) (exp (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (/ -1 (exp y)) (neg x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (sqrt (exp (* -1 y))) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) 1 (/ (exp (* -1 y)) x) (/ 1 x) (* x (exp y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (* x (exp y)) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 4.427 * * * [progress]: adding candidates to table 4.474 * * [progress]: iteration 4 / 4 4.474 * * * [progress]: picking best candidate 4.478 * * * * [pick]: Picked # 4.478 * * * [progress]: localizing error 4.491 * * * [progress]: generating rewritten candidates 4.491 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.500 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 4.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 4.505 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 4.511 * * * [progress]: generating series expansions 4.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.511 * [approximate]: Approximating (pow (* x (pow (/ 1 (+ x y)) 1/3)) x) in (x y) around 0 4.521 * [taylor]: Taking taylor expansion of (pow (* x (pow (/ 1 (+ x y)) 1/3)) x) in y 4.521 * [taylor]: Taking taylor expansion of (pow (* x (pow (/ 1 (+ x y)) 1/3)) x) in y 4.528 * [taylor]: Taking taylor expansion of (pow (* x (pow (/ 1 (+ x y)) 1/3)) x) in y 4.534 * [approximate]: Approximating (pow (* (/ 1 x) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3)) (/ 1 x)) in (x y) around 0 4.543 * [taylor]: Taking taylor expansion of (pow (* (/ 1 x) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3)) (/ 1 x)) in y 4.548 * [taylor]: Taking taylor expansion of (pow (* (/ 1 x) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3)) (/ 1 x)) in y 4.551 * [taylor]: Taking taylor expansion of (pow (* (/ 1 x) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3)) (/ 1 x)) in y 4.558 * [approximate]: Approximating (pow (* -1 (* (/ 1 (* (cbrt -1) x)) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3))) (/ -1 x)) in (x y) around 0 4.587 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 (* (cbrt -1) x)) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3))) (/ -1 x)) in y 4.594 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 (* (cbrt -1) x)) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3))) (/ -1 x)) in y 4.604 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 (* (cbrt -1) x)) (pow (/ 1 (+ (/ 1 y) (/ 1 x))) 1/3))) (/ -1 x)) in y 4.622 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 4.622 * [approximate]: Approximating (pow (+ x y) 1/3) in (x y) around 0 4.622 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.624 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.633 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.636 * [approximate]: Approximating (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 4.640 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.650 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.671 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.690 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 4.698 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.702 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.718 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.749 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.773 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 4.773 * [approximate]: Approximating (pow (+ x y) 1/3) in (x y) around 0 4.774 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.775 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.781 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.788 * [approximate]: Approximating (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 4.793 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.795 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.803 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.824 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.843 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 4.851 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.855 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.870 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.902 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 4.925 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 4.925 * [approximate]: Approximating (pow (+ x y) 1/3) in (x y) around 0 4.926 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.928 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.934 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 4.937 * [approximate]: Approximating (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 4.942 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.946 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.978 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 4.997 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 5.005 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 5.009 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 5.022 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 5.056 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 5.080 * * * [progress]: simplifying candidates 5.082 * [simplify]: Simplifying using # : (* (- (log x) (log (cbrt (+ x y)))) x) (* (log (/ x (cbrt (+ x y)))) x) (* (log (/ x (cbrt (+ x y)))) x) (* 1 x) (pow (/ x (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (pow (/ x (cbrt (+ x y))) (sqrt x)) (pow (/ x (cbrt (+ x y))) 1) (pow (* (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ x (cbrt (+ x y))))) x) (pow (cbrt (/ x (cbrt (+ x y)))) x) (pow (sqrt (/ x (cbrt (+ x y)))) x) (pow (sqrt (/ x (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt 1)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt 1)) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (cbrt 1)) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ x (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ x (cbrt (sqrt (+ x y)))) x) (pow (/ 1 (cbrt 1)) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (cbrt 1)) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ x (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ x (sqrt (cbrt (+ x y)))) x) (pow (/ 1 1) x) (pow (/ x (cbrt (+ x y))) x) (pow 1 x) (pow (/ x (cbrt (+ x y))) x) (pow x x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ x (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ x (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ x (cbrt (+ x y))) x)) (exp (pow (/ x (cbrt (+ x y))) x)) (* (cbrt (pow (/ x (cbrt (+ x y))) x)) (cbrt (pow (/ x (cbrt (+ x y))) x))) (cbrt (pow (/ x (cbrt (+ x y))) x)) (* (* (pow (/ x (cbrt (+ x y))) x) (pow (/ x (cbrt (+ x y))) x)) (pow (/ x (cbrt (+ x y))) x)) (sqrt (pow (/ x (cbrt (+ x y))) x)) (sqrt (pow (/ x (cbrt (+ x y))) x)) (pow (/ x (cbrt (+ x y))) (/ x 2)) (pow (/ x (cbrt (+ x y))) (/ x 2)) (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))) (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))) (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))) (+ (* 1/2 (* (pow x 2) (pow (log (pow y -1/3)) 2))) (+ (* (log x) (* (pow x 2) (log (pow y -1/3)))) (+ (* (log x) x) (+ (* 1/2 (* (pow (log x) 2) (pow x 2))) (+ (* x (log (pow y -1/3))) 1))))) (- (+ (pow (* x (pow (/ 1 y) 1/3)) x) (+ (* 1/18 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 4)) (pow y 2))) (* 1/6 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 3)) (pow y 2))))) (* 1/3 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 2)) y))) (- (+ (* 1/6 (/ (* (pow x 3) (exp (* (log (* (pow (/ -1 y) 1/3) (/ x (cbrt -1)))) x))) (pow y 2))) (+ (* 1/18 (/ (* (pow x 4) (exp (* (log (* (pow (/ -1 y) 1/3) (/ x (cbrt -1)))) x))) (pow y 2))) (exp (* (log (* (pow (/ -1 y) 1/3) (/ x (cbrt -1)))) x)))) (* 1/3 (/ (* (pow x 2) (exp (* (log (* (pow (/ -1 y) 1/3) (/ x (cbrt -1)))) x))) y))) (- (+ (* 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)) 5.088 * * [simplify]: iteration 0 : 497 enodes (cost 752 ) 5.097 * * [simplify]: iteration 1 : 1928 enodes (cost 723 ) 5.127 * * [simplify]: iteration 2 : 5002 enodes (cost 694 ) 5.132 * [simplify]: Simplified to: (log (pow (/ x (cbrt (+ x y))) x)) (log (pow (/ x (cbrt (+ x y))) x)) (log (pow (/ x (cbrt (+ x y))) x)) x (pow (/ x (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (pow (/ x (cbrt (+ x y))) (sqrt x)) (/ x (cbrt (+ x y))) (pow (* (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ x (cbrt (+ x y))))) x) (pow (cbrt (/ x (cbrt (+ x y)))) x) (pow (sqrt (/ x (cbrt (+ x y)))) x) (pow (sqrt (/ x (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (sqrt (+ x y)))) x) (pow (sqrt x) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (sqrt x) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt x) (sqrt (cbrt (+ x y)))) x) (pow (sqrt x) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ x (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ x (cbrt (sqrt (+ x y)))) x) 1 (pow (/ x (cbrt (+ x y))) x) 1 (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ x (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ x (sqrt (cbrt (+ x y)))) x) 1 (pow (/ x (cbrt (+ x y))) x) 1 (pow (/ x (cbrt (+ x y))) x) (pow x x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ x (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ x (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ x (cbrt (+ x y))) x)) (exp (pow (/ x (cbrt (+ x y))) x)) (* (cbrt (pow (/ x (cbrt (+ x y))) x)) (cbrt (pow (/ x (cbrt (+ x y))) x))) (cbrt (pow (/ x (cbrt (+ x y))) x)) (pow (pow (/ x (cbrt (+ x y))) x) 3) (sqrt (pow (/ x (cbrt (+ x y))) x)) (sqrt (pow (/ x (cbrt (+ x y))) x)) (pow (/ x (cbrt (+ x y))) (/ x 2)) (pow (/ x (cbrt (+ x y))) (/ x 2)) (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 (+ (* 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))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (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 (+ (* 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))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (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 (+ (* 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))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (+ (+ (* (pow x 2) (+ (* (log (pow y -1/3)) (log x)) (* (pow (log (pow y -1/3)) 2) 1/2))) (* x (+ (log (pow y -1/3)) (* (* 1/2 (pow (log x) 2)) x)))) (+ 1 (* (log x) x))) (- (+ (pow (* x (pow (/ 1 y) 1/3)) x) (+ (* 1/18 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 4)) (pow y 2))) (* 1/6 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 3)) (pow y 2))))) (* 1/3 (/ (* (pow (* x (pow (/ 1 y) 1/3)) x) (pow x 2)) y))) (+ (+ (pow (* (pow (/ -1 y) 1/3) (/ x (cbrt -1))) x) (- (* (/ (pow x 4) (/ (pow y 2) (pow (* (pow (/ -1 y) 1/3) (/ x (cbrt -1))) x))) 1/18) (* (/ (pow x 2) (/ y (pow (* (pow (/ -1 y) 1/3) (/ x (cbrt -1))) x))) 1/3))) (* (/ (pow x 3) (/ (pow y 2) (pow (* (pow (/ -1 y) 1/3) (/ x (cbrt -1))) x))) 1/6)) (- (+ (* 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)) 5.132 * * * [progress]: adding candidates to table 6.013 * [progress]: [Phase 3 of 3] Extracting. 6.014 * * [regime]: Finding splitpoints for: (# # #) 6.014 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.014 * * * * [regimes]: Trying to branch on y from (# # #) 6.054 * * * * [regimes]: Trying to branch on x from (# # #) 6.103 * * * [regime]: Found split indices: #