27.294 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.011 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.012 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.012 * * [simplify]: iteration 2 : 9 enodes (cost 5 ) 0.013 * * [simplify]: iteration 3 : 11 enodes (cost 5 ) 0.014 * * [simplify]: iteration 4 : 12 enodes (cost 5 ) 0.015 * * [simplify]: iteration done : 12 enodes (cost 5 ) 0.015 * [simplify]: Simplified to: (+ (+ x y) x) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.035 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.035 * [taylor]: Taking taylor expansion of 2 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.035 * [taylor]: Taking taylor expansion of 2 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 2 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of 2 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of 2 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 2 in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of 2 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 2 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 2 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of -2 in y 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.061 * * [simplify]: iteration 0 : 32 enodes (cost 145 ) 0.066 * * [simplify]: iteration 1 : 81 enodes (cost 140 ) 0.079 * * [simplify]: iteration 2 : 203 enodes (cost 130 ) 0.122 * * [simplify]: iteration 3 : 604 enodes (cost 122 ) 0.467 * * [simplify]: iteration 4 : 2408 enodes (cost 116 ) 1.443 * * [simplify]: iteration done : 5001 enodes (cost 116 ) 1.443 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 1.443 * * * [progress]: adding candidates to table 1.464 * * [progress]: iteration 2 / 4 1.464 * * * [progress]: picking best candidate 1.469 * * * * [pick]: Picked # 1.469 * * * [progress]: localizing error 1.475 * * * [progress]: generating rewritten candidates 1.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.553 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.584 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.605 * * * [progress]: generating series expansions 1.605 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.605 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 1.605 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.605 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.605 * [taylor]: Taking taylor expansion of 2 in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.605 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.605 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.605 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.605 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.605 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.606 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of 2 in y 1.607 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.609 * [taylor]: Taking taylor expansion of 2 in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.609 * [taylor]: Taking taylor expansion of x in y 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.609 * [taylor]: Taking taylor expansion of 2 in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.609 * [taylor]: Taking taylor expansion of 2 in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of 2 in y 1.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.611 * [taylor]: Taking taylor expansion of y in y 1.613 * [taylor]: Taking taylor expansion of 0 in y 1.615 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 1.617 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 1.618 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in y 1.618 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.618 * [taylor]: Taking taylor expansion of 2 in y 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.618 * [taylor]: Taking taylor expansion of x in y 1.620 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 1.620 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 1.620 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.620 * [taylor]: Taking taylor expansion of y in x 1.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.620 * [taylor]: Taking taylor expansion of 2 in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 1.622 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of 2 in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of +nan.0 in y 1.627 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.627 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.627 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.627 * [taylor]: Taking taylor expansion of +nan.0 in y 1.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.628 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.628 * [taylor]: Taking taylor expansion of +nan.0 in y 1.633 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 1.633 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 1.633 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.633 * [taylor]: Taking taylor expansion of +nan.0 in y 1.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 1.634 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 1.634 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.634 * [taylor]: Taking taylor expansion of +nan.0 in y 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.634 * [taylor]: Taking taylor expansion of +nan.0 in y 1.641 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.641 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 1.641 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.641 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.641 * [taylor]: Taking taylor expansion of 2 in y 1.641 * [taylor]: Taking taylor expansion of x in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.641 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.641 * [taylor]: Taking taylor expansion of 2 in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.641 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.641 * [taylor]: Taking taylor expansion of 2 in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of y in y 1.642 * [taylor]: Taking taylor expansion of 2 in y 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.644 * [taylor]: Taking taylor expansion of 0 in y 1.644 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.644 * [taylor]: Taking taylor expansion of y in y 1.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.644 * [taylor]: Taking taylor expansion of 2 in y 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.644 * [taylor]: Taking taylor expansion of x in y 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.644 * [taylor]: Taking taylor expansion of y in x 1.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.644 * [taylor]: Taking taylor expansion of 2 in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.645 * [taylor]: Taking taylor expansion of y in x 1.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of 2 in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.649 * [taylor]: Taking taylor expansion of 2 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of 0 in y 1.653 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 1.655 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.656 * [taylor]: Taking taylor expansion of 2 in y 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.656 * [taylor]: Taking taylor expansion of x in y 1.656 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.656 * [taylor]: Taking taylor expansion of 2 in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.656 * [taylor]: Taking taylor expansion of 2 in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of -2 in y 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.662 * [taylor]: Taking taylor expansion of 0 in y 1.665 * [taylor]: Taking taylor expansion of 0 in y 1.665 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.665 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 1.665 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.665 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.665 * [taylor]: Taking taylor expansion of 2 in y 1.665 * [taylor]: Taking taylor expansion of x in y 1.665 * [taylor]: Taking taylor expansion of y in y 1.665 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.665 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.665 * [taylor]: Taking taylor expansion of 2 in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.665 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.665 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.665 * [taylor]: Taking taylor expansion of 2 in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.666 * [taylor]: Taking taylor expansion of y in y 1.667 * [taylor]: Taking taylor expansion of 2 in y 1.667 * [taylor]: Taking taylor expansion of 0 in y 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.669 * [taylor]: Taking taylor expansion of 2 in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.669 * [taylor]: Taking taylor expansion of x in y 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.669 * [taylor]: Taking taylor expansion of 2 in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.670 * [taylor]: Taking taylor expansion of y in x 1.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.670 * [taylor]: Taking taylor expansion of 2 in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of 2 in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.678 * [taylor]: Taking taylor expansion of 2 in y 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of 2 in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of 2 in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of -2 in y 1.680 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.687 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.687 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 x) y)) in (x y) around 0 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 x) y)) in y 1.687 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.687 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.687 * [taylor]: Taking taylor expansion of 2 in y 1.687 * [taylor]: Taking taylor expansion of x in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 x) y)) in x 1.688 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.688 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.688 * [taylor]: Taking taylor expansion of 2 in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.689 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 x) y)) in x 1.689 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.689 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.689 * [taylor]: Taking taylor expansion of 2 in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.690 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.690 * [taylor]: Taking taylor expansion of y in y 1.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.694 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 (pow y 3)))) in y 1.694 * [taylor]: Taking taylor expansion of -1/2 in y 1.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.694 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.700 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 1.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (* 2 (/ 1 x)))) in y 1.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.700 * [taylor]: Taking taylor expansion of y in y 1.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.701 * [taylor]: Taking taylor expansion of 2 in y 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.701 * [taylor]: Taking taylor expansion of x in y 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.702 * [taylor]: Taking taylor expansion of y in x 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of 2 in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.704 * [taylor]: Taking taylor expansion of y in x 1.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of 2 in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [taylor]: Taking taylor expansion of +nan.0 in y 1.707 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 1.707 * [taylor]: Taking taylor expansion of +nan.0 in y 1.707 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 1.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.707 * [taylor]: Taking taylor expansion of y in y 1.708 * [taylor]: Taking taylor expansion of +nan.0 in y 1.710 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.710 * [taylor]: Taking taylor expansion of +nan.0 in y 1.710 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.710 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.710 * [taylor]: Taking taylor expansion of +nan.0 in y 1.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.710 * [taylor]: Taking taylor expansion of y in y 1.710 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.710 * [taylor]: Taking taylor expansion of +nan.0 in y 1.712 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in (x y) around 0 1.712 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in y 1.712 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 1.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.712 * [taylor]: Taking taylor expansion of 2 in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.714 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 1.714 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of 2 in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 1.716 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of 2 in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of 0 in y 1.719 * [taylor]: Taking taylor expansion of +nan.0 in y 1.721 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 1.721 * [taylor]: Taking taylor expansion of +nan.0 in y 1.721 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 1.721 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.721 * [taylor]: Taking taylor expansion of y in y 1.721 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.721 * [taylor]: Taking taylor expansion of +nan.0 in y 1.724 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.724 * [taylor]: Taking taylor expansion of +nan.0 in y 1.724 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.724 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.724 * [taylor]: Taking taylor expansion of +nan.0 in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.724 * [taylor]: Taking taylor expansion of +nan.0 in y 1.725 * * * [progress]: simplifying candidates 1.727 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ x y) x) (+ (+ x y) x)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (+ (+ x y) x) (+ (+ x y) x)) (+ 1 1) (+ (log (sqrt (+ (+ x y) x))) (log (sqrt (+ (+ x y) x)))) (log (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (exp (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x)))) (* (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))))) (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (sqrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (- (+ x y) x))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (- (+ x y) x)) (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (- (+ x y) x)) (sqrt (- (+ x y) x))) (* (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x))))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))) (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (cbrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* 1 1) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (+ x y) x)) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x))))) (* (sqrt (+ (+ x y) x)) (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))) (* (sqrt (+ (+ x y) x)) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) 1) (* (cbrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (+ x y) x)) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (+ (+ x y) x))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (+ (+ x y) x))) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (log (sqrt (+ (+ x y) x))) (exp (sqrt (+ (+ x y) x))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (cbrt (sqrt (+ (+ x y) x))) (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))) (sqrt (cbrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))) (sqrt 1) (sqrt (+ (+ x y) x)) (sqrt 1) (sqrt (+ (+ x y) x)) (sqrt 1) (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (- (+ x y) x)) (/ 1 2) (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 1.735 * * [simplify]: iteration 0 : 119 enodes (cost 1813 ) 1.760 * * [simplify]: iteration 1 : 244 enodes (cost 1227 ) 1.808 * * [simplify]: iteration 2 : 674 enodes (cost 1143 ) 2.167 * * [simplify]: iteration 3 : 2191 enodes (cost 1062 ) 2.916 * * [simplify]: iteration done : 5001 enodes (cost 1061 ) 2.917 * [simplify]: Simplified to: 1 1 2 1 1 (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y)) (* (+ x (+ x y)) (+ x (+ x y))) 2 (log (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ (+ x y) x)) (pow (+ x (+ x y)) 3) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (* (+ x (+ x y)) (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (- (* x x) (* (+ x y) (- 0 y))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (* (+ (* 2 x) y) (+ 0 y)))) (* (sqrt (- (* x x) (* (+ x y) (- 0 y)))) (sqrt (+ 0 y))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (* (+ (* 2 x) y) (+ 0 y)))) (* (sqrt (- (* x x) (* (+ x y) (- 0 y)))) (sqrt (+ 0 y))) (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y) (pow (cbrt (sqrt (+ (+ x y) x))) 4) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 2 1 (* (cbrt (sqrt (+ (+ x y) x))) (pow (cbrt (sqrt (+ (+ x y) x))) 4)) (* (fabs (cbrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (sqrt (+ x (+ x y))) (pow (cbrt (sqrt (+ (+ x y) x))) 4) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (+ x (+ x y)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (* (+ (* 2 x) y) (+ 0 y))) (sqrt (+ x (+ x y)))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (* (+ (* 2 x) y) (+ 0 y))) (sqrt (+ x (+ x y)))) (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ x (+ x y))) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (- (* x x) (* (+ x y) (- 0 y))) (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y) (+ x (+ x y)) (+ x (+ x y)) (+ x y) (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ x (+ x y))) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (- (* x x) (* (+ x y) (- 0 y))) (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y) (+ x (+ x y)) (+ x (+ x y)) (+ x y) (log (sqrt (+ x (+ x y)))) (exp (sqrt (+ (+ x y) x))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (cbrt (sqrt (+ (+ x y) x))) (pow (sqrt (+ x (+ x y))) 3) (fabs (cbrt (+ x (+ x y)))) (sqrt (cbrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))) 1 (sqrt (+ x (+ x y))) 1 (sqrt (+ x (+ x y))) 1 (sqrt (+ x (+ x y))) (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (- (* x x) (* (+ x y) (- 0 y)))) (sqrt (* (+ (* 2 x) y) (+ 0 y))) (sqrt (+ 0 y)) 1/2 (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))) (+ x (+ x y)) (+ x (+ x y)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (* +nan.0 (- (- x y) (* x x))) (- (+ +nan.0 (* (/ y x) (- (/ +nan.0 x) +nan.0)))) (- (+ +nan.0 (* (/ y x) (- (/ +nan.0 x) +nan.0)))) 2.918 * * * [progress]: adding candidates to table 3.089 * * [progress]: iteration 3 / 4 3.089 * * * [progress]: picking best candidate 3.091 * * * * [pick]: Picked # 3.091 * * * [progress]: localizing error 3.098 * * * [progress]: generating rewritten candidates 3.098 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.111 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.131 * * * [progress]: generating series expansions 3.131 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.131 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 3.131 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.131 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.131 * [taylor]: Taking taylor expansion of 2 in y 3.131 * [taylor]: Taking taylor expansion of x in y 3.131 * [taylor]: Taking taylor expansion of y in y 3.131 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.131 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.131 * [taylor]: Taking taylor expansion of 2 in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of y in x 3.131 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.131 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.131 * [taylor]: Taking taylor expansion of 2 in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of y in x 3.132 * [taylor]: Taking taylor expansion of y in y 3.133 * [taylor]: Taking taylor expansion of 2 in y 3.134 * [taylor]: Taking taylor expansion of 0 in y 3.134 * [taylor]: Taking taylor expansion of 0 in y 3.135 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.135 * [taylor]: Taking taylor expansion of y in y 3.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.135 * [taylor]: Taking taylor expansion of 2 in y 3.135 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.135 * [taylor]: Taking taylor expansion of x in y 3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.135 * [taylor]: Taking taylor expansion of y in x 3.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.135 * [taylor]: Taking taylor expansion of 2 in x 3.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.136 * [taylor]: Taking taylor expansion of y in x 3.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.136 * [taylor]: Taking taylor expansion of 2 in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [taylor]: Taking taylor expansion of 2 in y 3.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.137 * [taylor]: Taking taylor expansion of y in y 3.139 * [taylor]: Taking taylor expansion of 0 in y 3.141 * [taylor]: Taking taylor expansion of 0 in y 3.143 * [taylor]: Taking taylor expansion of 0 in y 3.143 * [approximate]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 3.143 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in y 3.143 * [taylor]: Taking taylor expansion of -1 in y 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.143 * [taylor]: Taking taylor expansion of y in y 3.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.144 * [taylor]: Taking taylor expansion of 2 in y 3.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.144 * [taylor]: Taking taylor expansion of x in y 3.144 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in x 3.144 * [taylor]: Taking taylor expansion of -1 in x 3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.144 * [taylor]: Taking taylor expansion of y in x 3.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.144 * [taylor]: Taking taylor expansion of 2 in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.144 * [taylor]: Taking taylor expansion of x in x 3.144 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in x 3.144 * [taylor]: Taking taylor expansion of -1 in x 3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.144 * [taylor]: Taking taylor expansion of y in x 3.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.144 * [taylor]: Taking taylor expansion of 2 in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.144 * [taylor]: Taking taylor expansion of x in x 3.145 * [taylor]: Taking taylor expansion of -2 in y 3.146 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.146 * [taylor]: Taking taylor expansion of y in y 3.149 * [taylor]: Taking taylor expansion of 0 in y 3.155 * [taylor]: Taking taylor expansion of 0 in y 3.158 * [taylor]: Taking taylor expansion of 0 in y 3.158 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.158 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (x y) around 0 3.158 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.158 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.158 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.158 * [taylor]: Taking taylor expansion of 2 in y 3.158 * [taylor]: Taking taylor expansion of x in y 3.158 * [taylor]: Taking taylor expansion of y in y 3.158 * [taylor]: Taking taylor expansion of y in y 3.159 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.159 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.159 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.159 * [taylor]: Taking taylor expansion of 2 in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.159 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.159 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.159 * [taylor]: Taking taylor expansion of 2 in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.159 * [taylor]: Taking taylor expansion of y in y 3.160 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.160 * [taylor]: Taking taylor expansion of 2 in y 3.160 * [taylor]: Taking taylor expansion of y in y 3.161 * [taylor]: Taking taylor expansion of 0 in y 3.163 * [taylor]: Taking taylor expansion of 0 in y 3.166 * [taylor]: Taking taylor expansion of 0 in y 3.166 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (x y) around 0 3.166 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.166 * [taylor]: Taking taylor expansion of y in y 3.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.167 * [taylor]: Taking taylor expansion of 2 in y 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.167 * [taylor]: Taking taylor expansion of x in y 3.167 * [taylor]: Taking taylor expansion of y in y 3.168 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.168 * [taylor]: Taking taylor expansion of y in x 3.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.168 * [taylor]: Taking taylor expansion of 2 in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [taylor]: Taking taylor expansion of y in x 3.169 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.169 * [taylor]: Taking taylor expansion of y in x 3.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.169 * [taylor]: Taking taylor expansion of 2 in x 3.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.169 * [taylor]: Taking taylor expansion of y in x 3.170 * [taylor]: Taking taylor expansion of (/ 2 y) in y 3.170 * [taylor]: Taking taylor expansion of 2 in y 3.170 * [taylor]: Taking taylor expansion of y in y 3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.171 * [taylor]: Taking taylor expansion of y in y 3.173 * [taylor]: Taking taylor expansion of 0 in y 3.176 * [taylor]: Taking taylor expansion of 0 in y 3.179 * [taylor]: Taking taylor expansion of 0 in y 3.180 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (x y) around 0 3.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.181 * [taylor]: Taking taylor expansion of y in y 3.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.181 * [taylor]: Taking taylor expansion of 2 in y 3.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.181 * [taylor]: Taking taylor expansion of x in y 3.181 * [taylor]: Taking taylor expansion of y in y 3.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.182 * [taylor]: Taking taylor expansion of y in x 3.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.182 * [taylor]: Taking taylor expansion of 2 in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.182 * [taylor]: Taking taylor expansion of y in x 3.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.183 * [taylor]: Taking taylor expansion of y in x 3.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.183 * [taylor]: Taking taylor expansion of 2 in x 3.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.183 * [taylor]: Taking taylor expansion of y in x 3.184 * [taylor]: Taking taylor expansion of (/ 2 y) in y 3.184 * [taylor]: Taking taylor expansion of 2 in y 3.184 * [taylor]: Taking taylor expansion of y in y 3.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.185 * [taylor]: Taking taylor expansion of y in y 3.188 * [taylor]: Taking taylor expansion of 0 in y 3.191 * [taylor]: Taking taylor expansion of 0 in y 3.194 * [taylor]: Taking taylor expansion of 0 in y 3.195 * * * [progress]: simplifying candidates 3.196 * [simplify]: Simplifying using # : (- (+ (log (+ (* 2 x) y)) (log (+ 0 y))) (log (+ 0 y))) (- (log (* (+ (* 2 x) y) (+ 0 y))) (log (+ 0 y))) (log (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (exp (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (/ (* (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y)) (* (* (+ 0 y) (+ 0 y)) (+ 0 y))) (* (* (+ 0 y) (+ 0 y)) (+ 0 y))) (/ (* (* (* (+ (* 2 x) y) (+ 0 y)) (* (+ (* 2 x) y) (+ 0 y))) (* (+ (* 2 x) y) (+ 0 y))) (* (* (+ 0 y) (+ 0 y)) (+ 0 y))) (* (cbrt (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (cbrt (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y)))) (cbrt (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (* (* (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y)) (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (sqrt (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (sqrt (/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))) (- (* (+ (* 2 x) y) (+ 0 y))) (- (+ 0 y)) (/ (+ (* 2 x) y) (* (cbrt (+ 0 y)) (cbrt (+ 0 y)))) (/ (+ 0 y) (cbrt (+ 0 y))) (/ (+ (* 2 x) y) (sqrt (+ 0 y))) (/ (+ 0 y) (sqrt (+ 0 y))) (/ (+ (* 2 x) y) 1) (/ (+ 0 y) (+ 0 y)) (/ (+ (* 2 x) y) 1) (/ (+ 0 y) (+ 0 y)) (/ 1 (+ 0 y)) (/ (+ 0 y) (* (+ (* 2 x) y) (+ 0 y))) (/ (* (+ (* 2 x) y) (+ 0 y)) (* (cbrt (+ 0 y)) (cbrt (+ 0 y)))) (/ (* (+ (* 2 x) y) (+ 0 y)) (sqrt (+ 0 y))) (/ (* (+ (* 2 x) y) (+ 0 y)) 1) (/ (* (+ (* 2 x) y) (+ 0 y)) 1) (/ (+ 0 y) (+ 0 y)) (/ (* (+ (* 2 x) y) (+ 0 y)) (+ (pow 0 3) (pow y 3))) (/ (* (+ (* 2 x) y) (+ 0 y)) (- (* 0 0) (* y y))) (* (+ 0 y) (* (+ (* (* 2 x) (* 2 x)) (- (* y y) (* (* 2 x) y))) (+ (* 0 0) (- (* y y) (* 0 y))))) (* (+ 0 y) (* (+ (* (* 2 x) (* 2 x)) (- (* y y) (* (* 2 x) y))) (- 0 y))) (* (+ 0 y) (* (- (* 2 x) y) (+ (* 0 0) (- (* y y) (* 0 y))))) (* (+ 0 y) (* (- (* 2 x) y) (- 0 y))) (* (+ 0 y) (+ (* 0 0) (- (* y y) (* 0 y)))) (* (+ 0 y) (- 0 y)) (* (+ 0 y) (+ (* (* 2 x) (* 2 x)) (- (* y y) (* (* 2 x) y)))) (* (+ 0 y) (- (* 2 x) y)) (* (+ (* 2 x) y) (+ 0 y)) (+ (log (+ (* 2 x) y)) (log (+ 0 y))) (log (* (+ (* 2 x) y) (+ 0 y))) (exp (* (+ (* 2 x) y) (+ 0 y))) (* (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y)) (* (* (+ 0 y) (+ 0 y)) (+ 0 y))) (* (cbrt (* (+ (* 2 x) y) (+ 0 y))) (cbrt (* (+ (* 2 x) y) (+ 0 y)))) (cbrt (* (+ (* 2 x) y) (+ 0 y))) (* (* (* (+ (* 2 x) y) (+ 0 y)) (* (+ (* 2 x) y) (+ 0 y))) (* (+ (* 2 x) y) (+ 0 y))) (sqrt (* (+ (* 2 x) y) (+ 0 y))) (sqrt (* (+ (* 2 x) y) (+ 0 y))) (* (+ (pow (* 2 x) 3) (pow y 3)) (+ (pow 0 3) (pow y 3))) (* (+ (* (* 2 x) (* 2 x)) (- (* y y) (* (* 2 x) y))) (+ (* 0 0) (- (* y y) (* 0 y)))) (* (+ (pow (* 2 x) 3) (pow y 3)) (- (* 0 0) (* y y))) (* (+ (* (* 2 x) (* 2 x)) (- (* y y) (* (* 2 x) y))) (- 0 y)) (* (- (* (* 2 x) (* 2 x)) (* y y)) (+ (pow 0 3) (pow y 3))) (* (- (* 2 x) y) (+ (* 0 0) (- (* y y) (* 0 y)))) (* (- (* (* 2 x) (* 2 x)) (* y y)) (- (* 0 0) (* y y))) (* (- (* 2 x) y) (- 0 y)) (* (sqrt (+ (* 2 x) y)) (sqrt (+ 0 y))) (* (sqrt (+ (* 2 x) y)) (sqrt (+ 0 y))) (* (+ (* 2 x) y) 0) (* (+ (* 2 x) y) y) (* 0 (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* (+ (* 2 x) y) (* (cbrt (+ 0 y)) (cbrt (+ 0 y)))) (* (+ (* 2 x) y) (sqrt (+ 0 y))) (* (+ (* 2 x) y) 1) (* (+ (* 2 x) y) 1) (* (cbrt (+ (* 2 x) y)) (+ 0 y)) (* (sqrt (+ (* 2 x) y)) (+ 0 y)) (* (+ (* 2 x) y) (+ 0 y)) (* (+ (* 2 x) y) (+ (pow 0 3) (pow y 3))) (* (+ (* 2 x) y) (- (* 0 0) (* y y))) (* (+ (pow (* 2 x) 3) (pow y 3)) (+ 0 y)) (* (- (* (* 2 x) (* 2 x)) (* y y)) (+ 0 y)) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 3.200 * * [simplify]: iteration 0 : 109 enodes (cost 1105 ) 3.246 * * [simplify]: iteration 1 : 357 enodes (cost 734 ) 3.499 * * [simplify]: iteration 2 : 1417 enodes (cost 632 ) 4.059 * * [simplify]: iteration done : 5001 enodes (cost 630 ) 4.059 * [simplify]: Simplified to: (log (+ (* 2 x) y)) (log (+ (* 2 x) y)) (log (+ (* 2 x) y)) (exp (+ (* 2 x) y)) (pow (+ (* 2 x) y) 3) (pow (+ (* 2 x) y) 3) (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y))) (cbrt (+ (* 2 x) y)) (pow (+ (* 2 x) y) 3) (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)) (- (* y (+ (* 2 x) y))) (- y) (/ (+ (* 2 x) y) (* (cbrt y) (cbrt y))) (/ y (cbrt y)) (/ (+ (* 2 x) y) (sqrt y)) (/ y (sqrt y)) (+ (* 2 x) y) 1 (+ (* 2 x) y) 1 (/ 1 y) (/ 1 (+ (* 2 x) y)) (/ (/ (* (+ (* 2 x) y) y) (cbrt y)) (cbrt y)) (/ (* (+ (* 2 x) y) y) (sqrt y)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) 1 (/ (/ (+ (* 2 x) y) y) y) (/ (+ (* 2 x) y) (- y)) (* (pow y 3) (+ (* y (- y (* 2 x))) (* 4 (* x x)))) (* y (* (- y) (+ (* y (- y (* 2 x))) (* 4 (* x x))))) (* (pow y 3) (- (* 2 x) y)) (* y (* (- (* 2 x) y) (- y))) (pow y 3) (- (* y y)) (* (+ (* y (- y (* 2 x))) (* 4 (* x x))) y) (* (- (* 2 x) y) y) (* (+ (* 2 x) y) y) (log (* y (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* (+ (* 2 x) y) y)) (pow (* (+ (* 2 x) y) y) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* (+ (* 2 x) y) y) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (+ (pow (* 2 x) 3) (pow y 3)) (pow y 3)) (* (* y y) (+ (* y (- y (* 2 x))) (* 4 (* x x)))) (* (* y (- y)) (+ (pow (* 2 x) 3) (pow y 3))) (* (- y) (+ (* y (- y (* 2 x))) (* 4 (* x x)))) (* (pow y 3) (- (* 4 (* x x)) (* y y))) (* (- (* 2 x) y) (* y y)) (* (- (* 4 (* x x)) (* y y)) (* y (- y))) (* (- (* 2 x) y) (- y)) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) 0 (* (+ (* 2 x) y) y) 0 (* (+ (* 2 x) y) y) (* (* (+ (* 2 x) y) (cbrt y)) (cbrt y)) (* (+ (* 2 x) y) (sqrt y)) (+ (* 2 x) y) (+ (* 2 x) y) (* y (cbrt (+ (* 2 x) y))) (* (sqrt (+ (* 2 x) y)) y) (* (+ (* 2 x) y) y) (* (pow y 3) (+ (* 2 x) y)) (* (* y (- y)) (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) 4.060 * * * [progress]: adding candidates to table 4.188 * * [progress]: iteration 4 / 4 4.188 * * * [progress]: picking best candidate 4.189 * * * * [pick]: Picked # 4.189 * * * [progress]: localizing error 4.193 * * * [progress]: generating rewritten candidates 4.193 * * * [progress]: generating series expansions 4.193 * * * [progress]: simplifying candidates 4.193 * [simplify]: Simplifying using # : 4.194 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.194 * * [simplify]: iteration done : 0 enodes (cost 0 ) 4.194 * [simplify]: Simplified to: 4.194 * * * [progress]: adding candidates to table 4.194 * [progress]: [Phase 3 of 3] Extracting. 4.195 * [simplify]: Simplifying using # : (+ (* 2 x) y) 4.196 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 4.196 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 4.196 * * [simplify]: iteration done : 7 enodes (cost 5 ) 4.196 * [simplify]: Simplified to: (+ (* 2 x) y) 4.463 * [regime-testing]: End program error score: 0 4.480 * [regime-testing]: Target error score: 0