8.029 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.026 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.028 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.031 * * [simplify]: iteration 3 : 40 enodes (cost 7 ) 0.037 * * [simplify]: iteration 4 : 63 enodes (cost 7 ) 0.045 * * [simplify]: iteration 5 : 79 enodes (cost 7 ) 0.060 * * [simplify]: iteration 6 : 86 enodes (cost 7 ) 0.072 * * [simplify]: iteration 7 : 88 enodes (cost 7 ) 0.082 * * [simplify]: iteration done : 88 enodes (cost 7 ) 0.082 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.098 * [taylor]: Taking taylor expansion of (+ x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.098 * [taylor]: Taking taylor expansion of (+ x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.098 * [taylor]: Taking taylor expansion of (+ x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.099 * [taylor]: Taking taylor expansion of 2 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * * * [progress]: simplifying candidates 0.104 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) 0.106 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.120 * * [simplify]: iteration 1 : 187 enodes (cost 455 ) 0.159 * * [simplify]: iteration 2 : 798 enodes (cost 413 ) 0.452 * * [simplify]: iteration 3 : 3770 enodes (cost 380 ) 1.386 * * [simplify]: iteration done : 5000 enodes (cost 376 ) 1.386 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* y (- y x)) (* x x)) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* y (- y x)) (* x x)) (- x y)) (* (pow (sqrt (+ x y)) 4) (* (- x y) (- x y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (pow (sqrt (+ x y)) 4) (- x y)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (pow (sqrt (+ x y)) 4) (- x y)) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 1.386 * * * [progress]: adding candidates to table 1.429 * * [progress]: iteration 2 / 4 1.429 * * * [progress]: picking best candidate 1.436 * * * * [pick]: Picked # 1.436 * * * [progress]: localizing error 1.443 * * * [progress]: generating rewritten candidates 1.443 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.450 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.455 * * * [progress]: generating series expansions 1.456 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.456 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 1.456 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.456 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.456 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.456 * [taylor]: Taking taylor expansion of 2 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of y in x 1.456 * [taylor]: Taking taylor expansion of y in x 1.456 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.456 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.456 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.456 * [taylor]: Taking taylor expansion of 2 in y 1.456 * [taylor]: Taking taylor expansion of x in y 1.456 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.456 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.456 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.456 * [taylor]: Taking taylor expansion of 2 in y 1.456 * [taylor]: Taking taylor expansion of x in y 1.456 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of 0 in x 1.456 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.456 * [taylor]: Taking taylor expansion of 2 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of 1 in x 1.457 * [taylor]: Taking taylor expansion of 0 in x 1.457 * [taylor]: Taking taylor expansion of 0 in x 1.457 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 1.457 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x 1.457 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of 2 in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.458 * [taylor]: Taking taylor expansion of y in x 1.458 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 1.458 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.458 * [taylor]: Taking taylor expansion of 2 in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 1.458 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.458 * [taylor]: Taking taylor expansion of 2 in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of 1 in x 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.458 * [taylor]: Taking taylor expansion of 2 in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 0 in x 1.459 * [taylor]: Taking taylor expansion of 0 in x 1.460 * [taylor]: Taking taylor expansion of 0 in x 1.460 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 1.460 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of 2 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.460 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 1.460 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.460 * [taylor]: Taking taylor expansion of 2 in y 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.460 * [taylor]: Taking taylor expansion of x in y 1.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.460 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 1.460 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.461 * [taylor]: Taking taylor expansion of 2 in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.461 * [taylor]: Taking taylor expansion of x in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.461 * [taylor]: Taking taylor expansion of 1 in x 1.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of 2 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of 0 in x 1.462 * [taylor]: Taking taylor expansion of 0 in x 1.462 * [taylor]: Taking taylor expansion of 0 in x 1.462 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.463 * [approximate]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.463 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in y 1.463 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.463 * [taylor]: Taking taylor expansion of 2 in y 1.463 * [taylor]: Taking taylor expansion of (* x y) in y 1.463 * [taylor]: Taking taylor expansion of x in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.463 * [taylor]: Taking taylor expansion of x in y 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 1.463 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.463 * [taylor]: Taking taylor expansion of 2 in x 1.463 * [taylor]: Taking taylor expansion of (* x y) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.463 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 1.463 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.463 * [taylor]: Taking taylor expansion of 2 in x 1.463 * [taylor]: Taking taylor expansion of (* x y) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.464 * [taylor]: Taking taylor expansion of 2 in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of 1 in y 1.464 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.464 * [taylor]: Taking taylor expansion of x in y 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.464 * [taylor]: Taking taylor expansion of 2 in y 1.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.465 * [taylor]: Taking taylor expansion of (* x y) in y 1.465 * [taylor]: Taking taylor expansion of x in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.465 * [taylor]: Taking taylor expansion of 2 in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.465 * [taylor]: Taking taylor expansion of (* x y) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.465 * [taylor]: Taking taylor expansion of 2 in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.465 * [taylor]: Taking taylor expansion of (* x y) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.466 * [taylor]: Taking taylor expansion of 1 in y 1.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.466 * [taylor]: Taking taylor expansion of 2 in y 1.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.466 * [taylor]: Taking taylor expansion of y in y 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.466 * [taylor]: Taking taylor expansion of y in y 1.467 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.467 * [taylor]: Taking taylor expansion of x in y 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.467 * [taylor]: Taking taylor expansion of 2 in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.467 * [taylor]: Taking taylor expansion of (* x y) in y 1.467 * [taylor]: Taking taylor expansion of x in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.468 * [taylor]: Taking taylor expansion of 2 in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.468 * [taylor]: Taking taylor expansion of (* x y) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.469 * [taylor]: Taking taylor expansion of 2 in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.469 * [taylor]: Taking taylor expansion of (* x y) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of y in x 1.469 * [taylor]: Taking taylor expansion of 1 in y 1.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.469 * [taylor]: Taking taylor expansion of 2 in y 1.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.470 * * * [progress]: simplifying candidates 1.470 * [simplify]: Simplifying using # : (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* x x)) (exp (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (* (* (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y)))) (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* y (+ (* 2 x) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (* 2 x))) (+ (* x x) (* (* 2 x) y)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) 1.472 * * [simplify]: iteration 0 : 72 enodes (cost 527 ) 1.484 * * [simplify]: iteration 1 : 227 enodes (cost 500 ) 1.533 * * [simplify]: iteration 2 : 824 enodes (cost 438 ) 1.774 * * [simplify]: iteration 3 : 2792 enodes (cost 438 ) 2.512 * * [simplify]: iteration done : 5001 enodes (cost 438 ) 2.513 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (* 2 x) y) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (pow (+ (* x x) (* y (+ (* 2 x) y))) 3) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow x 6) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* y (+ (* 2 x) y)) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (pow x 4) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 2.513 * * * [progress]: adding candidates to table 2.561 * * [progress]: iteration 3 / 4 2.561 * * * [progress]: picking best candidate 2.563 * * * * [pick]: Picked # 2.563 * * * [progress]: localizing error 2.570 * * * [progress]: generating rewritten candidates 2.570 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.579 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.587 * * * [progress]: generating series expansions 2.587 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.587 * [approximate]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.587 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in y 2.587 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.588 * [taylor]: Taking taylor expansion of 2 in y 2.588 * [taylor]: Taking taylor expansion of (* x y) in y 2.588 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.588 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 2.588 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.588 * [taylor]: Taking taylor expansion of 2 in x 2.588 * [taylor]: Taking taylor expansion of (* x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 2.588 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.588 * [taylor]: Taking taylor expansion of 2 in x 2.588 * [taylor]: Taking taylor expansion of (* x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.588 * [taylor]: Taking taylor expansion of y in y 2.589 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.589 * [taylor]: Taking taylor expansion of 2 in y 2.589 * [taylor]: Taking taylor expansion of y in y 2.589 * [taylor]: Taking taylor expansion of 1 in y 2.589 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.590 * [taylor]: Taking taylor expansion of x in y 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.590 * [taylor]: Taking taylor expansion of y in y 2.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.590 * [taylor]: Taking taylor expansion of 2 in y 2.590 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.590 * [taylor]: Taking taylor expansion of (* x y) in y 2.590 * [taylor]: Taking taylor expansion of x in y 2.590 * [taylor]: Taking taylor expansion of y in y 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.590 * [taylor]: Taking taylor expansion of y in x 2.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.590 * [taylor]: Taking taylor expansion of 2 in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.590 * [taylor]: Taking taylor expansion of (* x y) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of y in x 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.591 * [taylor]: Taking taylor expansion of y in x 2.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.591 * [taylor]: Taking taylor expansion of 2 in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.591 * [taylor]: Taking taylor expansion of (* x y) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of y in x 2.591 * [taylor]: Taking taylor expansion of 1 in y 2.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.591 * [taylor]: Taking taylor expansion of 2 in y 2.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.591 * [taylor]: Taking taylor expansion of y in y 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.592 * [taylor]: Taking taylor expansion of y in y 2.592 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.593 * [taylor]: Taking taylor expansion of y in y 2.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.593 * [taylor]: Taking taylor expansion of 2 in y 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.593 * [taylor]: Taking taylor expansion of (* x y) in y 2.593 * [taylor]: Taking taylor expansion of x in y 2.593 * [taylor]: Taking taylor expansion of y in y 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.593 * [taylor]: Taking taylor expansion of 2 in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.593 * [taylor]: Taking taylor expansion of (* x y) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.593 * [taylor]: Taking taylor expansion of 2 in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.593 * [taylor]: Taking taylor expansion of (* x y) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of y in x 2.594 * [taylor]: Taking taylor expansion of 1 in y 2.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.594 * [taylor]: Taking taylor expansion of 2 in y 2.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.594 * [taylor]: Taking taylor expansion of y in y 2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.594 * [taylor]: Taking taylor expansion of y in y 2.595 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.595 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 2.595 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 2.595 * [taylor]: Taking taylor expansion of x in y 2.595 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 2.595 * [taylor]: Taking taylor expansion of x in y 2.595 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.595 * [taylor]: Taking taylor expansion of 2 in y 2.595 * [taylor]: Taking taylor expansion of y in y 2.595 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (* 2 y) in x 2.595 * [taylor]: Taking taylor expansion of 2 in x 2.595 * [taylor]: Taking taylor expansion of y in x 2.595 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (* 2 y) in x 2.595 * [taylor]: Taking taylor expansion of 2 in x 2.595 * [taylor]: Taking taylor expansion of y in x 2.595 * [taylor]: Taking taylor expansion of 0 in y 2.595 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.595 * [taylor]: Taking taylor expansion of 2 in y 2.595 * [taylor]: Taking taylor expansion of y in y 2.595 * [taylor]: Taking taylor expansion of 1 in y 2.596 * [taylor]: Taking taylor expansion of 0 in y 2.596 * [taylor]: Taking taylor expansion of 0 in y 2.596 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 2.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.596 * [taylor]: Taking taylor expansion of x in y 2.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.596 * [taylor]: Taking taylor expansion of 2 in y 2.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.596 * [taylor]: Taking taylor expansion of y in y 2.596 * [taylor]: Taking taylor expansion of x in y 2.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 2.596 * [taylor]: Taking taylor expansion of 2 in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.597 * [taylor]: Taking taylor expansion of y in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 2.597 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 2.597 * [taylor]: Taking taylor expansion of 2 in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.597 * [taylor]: Taking taylor expansion of y in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of 1 in y 2.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.597 * [taylor]: Taking taylor expansion of 2 in y 2.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.597 * [taylor]: Taking taylor expansion of y in y 2.597 * [taylor]: Taking taylor expansion of 0 in y 2.598 * [taylor]: Taking taylor expansion of 0 in y 2.598 * [taylor]: Taking taylor expansion of 0 in y 2.599 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.599 * [taylor]: Taking taylor expansion of x in y 2.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.599 * [taylor]: Taking taylor expansion of 2 in y 2.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.599 * [taylor]: Taking taylor expansion of y in y 2.599 * [taylor]: Taking taylor expansion of x in y 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 2.599 * [taylor]: Taking taylor expansion of 2 in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.599 * [taylor]: Taking taylor expansion of y in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 2.599 * [taylor]: Taking taylor expansion of 2 in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.599 * [taylor]: Taking taylor expansion of y in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of 1 in y 2.600 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.600 * [taylor]: Taking taylor expansion of 2 in y 2.600 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.600 * [taylor]: Taking taylor expansion of y in y 2.600 * [taylor]: Taking taylor expansion of 0 in y 2.600 * [taylor]: Taking taylor expansion of 0 in y 2.601 * [taylor]: Taking taylor expansion of 0 in y 2.601 * * * [progress]: simplifying candidates 2.601 * [simplify]: Simplifying using # : (* (exp (* x (+ (* y 2) x))) (exp (* y y))) (log (+ (* x (+ (* y 2) x)) (* y y))) (exp (+ (* x (+ (* y 2) x)) (* y y))) (* (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (cbrt (+ (* x (+ (* y 2) x)) (* y y)))) (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (* (* (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y))) (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (+ (pow (* x (+ (* y 2) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (- (* (* y y) (* y y)) (* (* x (+ (* y 2) x)) (* y y)))) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* (* y y) (* y y))) (- (* x (+ (* y 2) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* y 2) x)) (+ (log x) (log (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (* (* (* x x) x) (* (* (+ (* y 2) x) (+ (* y 2) x)) (+ (* y 2) x))) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (* (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* x (* y 2)) (* x x) (* (* y 2) x) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) (* x 1) (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (* y 2) (* y 2)) (* x x))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (pow x 2)) (+ (* 2 (* x y)) (pow x 2)) (+ (* 2 (* x y)) (pow x 2)) 2.603 * * [simplify]: iteration 0 : 71 enodes (cost 523 ) 2.615 * * [simplify]: iteration 1 : 227 enodes (cost 500 ) 2.664 * * [simplify]: iteration 2 : 816 enodes (cost 446 ) 2.903 * * [simplify]: iteration 3 : 2680 enodes (cost 438 ) 3.607 * * [simplify]: iteration done : 5000 enodes (cost 438 ) 3.607 * [simplify]: Simplified to: (exp (+ (* x (+ (* y 2) x)) (* y y))) (log (+ (* x (+ (* y 2) x)) (* y y))) (exp (+ (* x (+ (* y 2) x)) (* y y))) (* (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (cbrt (+ (* x (+ (* y 2) x)) (* y y)))) (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (pow (+ (* x (+ (* y 2) x)) (* y y)) 3) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (+ (pow (* x (+ (* y 2) x)) 3) (pow y 6)) (- (pow y 4) (* (* x (+ (* y 2) x)) (- (* y y) (* x (+ (* y 2) x))))) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (pow y 4)) (- (* x (+ (* y 2) x)) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* x (+ (* y 2) x)) (+ (log x) (log (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (pow (* x (+ (* y 2) x)) 3) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (pow (* x (+ (* y 2) x)) 3) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* 2 (* x y)) (* x x) (* 2 (* x y)) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) x (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* (- (* (* y y) 4) (* x x)) x) (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y)) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) 3.608 * * * [progress]: adding candidates to table 3.658 * [progress]: [Phase 3 of 3] Extracting. 3.659 * * [regime]: Finding splitpoints for: (# #) 3.659 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.659 * * * * [regimes]: Trying to branch on y from (# #) 3.691 * * * * [regimes]: Trying to branch on x from (# #) 3.724 * * * [regime]: Found split indices: #