25.679 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.016 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.017 * * [simplify]: iteration done : 6 enodes (cost 6 ) 0.017 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.035 * [taylor]: Taking taylor expansion of 1/2 in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.040 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of -1/8 in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.065 * [taylor]: Taking taylor expansion of -1/2 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of -1/8 in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.098 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.110 * * [simplify]: iteration 1 : 141 enodes (cost 294 ) 0.142 * * [simplify]: iteration 2 : 385 enodes (cost 258 ) 0.293 * * [simplify]: iteration 3 : 1086 enodes (cost 255 ) 1.216 * * [simplify]: iteration 4 : 3425 enodes (cost 254 ) 3.312 * * [simplify]: iteration done : 5000 enodes (cost 254 ) 3.313 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (pow x 2) y) (* +nan.0 (- (- (* y y) y) (* x x))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (pow x 2)) (+ y (pow x 2)) (+ y (pow x 2)) 3.313 * * * [progress]: adding candidates to table 3.602 * * [progress]: iteration 2 / 4 3.602 * * * [progress]: picking best candidate 3.605 * * * * [pick]: Picked # 3.605 * * * [progress]: localizing error 3.609 * * * [progress]: generating rewritten candidates 3.609 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.614 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.622 * * * [progress]: generating series expansions 3.622 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.622 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 3.622 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.622 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.622 * [taylor]: Taking taylor expansion of x in x 3.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.623 * [taylor]: Taking taylor expansion of 1/2 in x 3.623 * [taylor]: Taking taylor expansion of (/ y x) in x 3.623 * [taylor]: Taking taylor expansion of y in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.623 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.623 * [taylor]: Taking taylor expansion of x in y 3.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.623 * [taylor]: Taking taylor expansion of 1/2 in y 3.623 * [taylor]: Taking taylor expansion of (/ y x) in y 3.623 * [taylor]: Taking taylor expansion of y in y 3.623 * [taylor]: Taking taylor expansion of x in y 3.623 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.623 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.623 * [taylor]: Taking taylor expansion of x in y 3.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.623 * [taylor]: Taking taylor expansion of 1/2 in y 3.623 * [taylor]: Taking taylor expansion of (/ y x) in y 3.623 * [taylor]: Taking taylor expansion of y in y 3.623 * [taylor]: Taking taylor expansion of x in y 3.623 * [taylor]: Taking taylor expansion of (- x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 3.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.623 * [taylor]: Taking taylor expansion of 1/2 in x 3.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.625 * [taylor]: Taking taylor expansion of 0 in x 3.628 * [taylor]: Taking taylor expansion of 0 in x 3.631 * [taylor]: Taking taylor expansion of 0 in x 3.632 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 3.632 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.632 * [taylor]: Taking taylor expansion of 1/2 in x 3.633 * [taylor]: Taking taylor expansion of (/ x y) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [taylor]: Taking taylor expansion of y in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.633 * [taylor]: Taking taylor expansion of 1/2 in y 3.633 * [taylor]: Taking taylor expansion of (/ x y) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [taylor]: Taking taylor expansion of y in y 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.633 * [taylor]: Taking taylor expansion of 1/2 in y 3.633 * [taylor]: Taking taylor expansion of (/ x y) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [taylor]: Taking taylor expansion of y in y 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.633 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.633 * [taylor]: Taking taylor expansion of 1/2 in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.634 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.638 * [taylor]: Taking taylor expansion of 0 in x 3.641 * [taylor]: Taking taylor expansion of 0 in x 3.647 * [taylor]: Taking taylor expansion of 0 in x 3.648 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 3.648 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.648 * [taylor]: Taking taylor expansion of 1/2 in x 3.648 * [taylor]: Taking taylor expansion of (/ x y) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [taylor]: Taking taylor expansion of y in x 3.648 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.648 * [taylor]: Taking taylor expansion of x in y 3.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.648 * [taylor]: Taking taylor expansion of 1/2 in y 3.648 * [taylor]: Taking taylor expansion of (/ x y) in y 3.648 * [taylor]: Taking taylor expansion of x in y 3.648 * [taylor]: Taking taylor expansion of y in y 3.648 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.648 * [taylor]: Taking taylor expansion of x in y 3.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.648 * [taylor]: Taking taylor expansion of 1/2 in y 3.648 * [taylor]: Taking taylor expansion of (/ x y) in y 3.648 * [taylor]: Taking taylor expansion of x in y 3.648 * [taylor]: Taking taylor expansion of y in y 3.649 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.649 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.649 * [taylor]: Taking taylor expansion of 1/2 in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.650 * [taylor]: Taking taylor expansion of x in x 3.652 * [taylor]: Taking taylor expansion of 0 in x 3.656 * [taylor]: Taking taylor expansion of 0 in x 3.663 * [taylor]: Taking taylor expansion of 0 in x 3.664 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.664 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 3.664 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.664 * [taylor]: Taking taylor expansion of -1/2 in x 3.664 * [taylor]: Taking taylor expansion of (/ y x) in x 3.664 * [taylor]: Taking taylor expansion of y in x 3.664 * [taylor]: Taking taylor expansion of x in x 3.664 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.664 * [taylor]: Taking taylor expansion of -1/2 in y 3.664 * [taylor]: Taking taylor expansion of (/ y x) in y 3.664 * [taylor]: Taking taylor expansion of y in y 3.664 * [taylor]: Taking taylor expansion of x in y 3.664 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.664 * [taylor]: Taking taylor expansion of -1/2 in y 3.664 * [taylor]: Taking taylor expansion of (/ y x) in y 3.664 * [taylor]: Taking taylor expansion of y in y 3.664 * [taylor]: Taking taylor expansion of x in y 3.665 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.665 * [taylor]: Taking taylor expansion of -1/2 in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [taylor]: Taking taylor expansion of 0 in x 3.666 * [taylor]: Taking taylor expansion of 0 in x 3.668 * [taylor]: Taking taylor expansion of 0 in x 3.669 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.669 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.669 * [taylor]: Taking taylor expansion of -1/2 in x 3.669 * [taylor]: Taking taylor expansion of (/ x y) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [taylor]: Taking taylor expansion of y in x 3.669 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.669 * [taylor]: Taking taylor expansion of -1/2 in y 3.669 * [taylor]: Taking taylor expansion of (/ x y) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.669 * [taylor]: Taking taylor expansion of y in y 3.669 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.669 * [taylor]: Taking taylor expansion of -1/2 in y 3.669 * [taylor]: Taking taylor expansion of (/ x y) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.669 * [taylor]: Taking taylor expansion of y in y 3.669 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.669 * [taylor]: Taking taylor expansion of -1/2 in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.670 * [taylor]: Taking taylor expansion of 0 in x 3.672 * [taylor]: Taking taylor expansion of 0 in x 3.675 * [taylor]: Taking taylor expansion of 0 in x 3.675 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.675 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.675 * [taylor]: Taking taylor expansion of -1/2 in x 3.675 * [taylor]: Taking taylor expansion of (/ x y) in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [taylor]: Taking taylor expansion of y in x 3.675 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.675 * [taylor]: Taking taylor expansion of -1/2 in y 3.675 * [taylor]: Taking taylor expansion of (/ x y) in y 3.675 * [taylor]: Taking taylor expansion of x in y 3.675 * [taylor]: Taking taylor expansion of y in y 3.675 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.675 * [taylor]: Taking taylor expansion of -1/2 in y 3.675 * [taylor]: Taking taylor expansion of (/ x y) in y 3.675 * [taylor]: Taking taylor expansion of x in y 3.675 * [taylor]: Taking taylor expansion of y in y 3.675 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.675 * [taylor]: Taking taylor expansion of -1/2 in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.677 * [taylor]: Taking taylor expansion of 0 in x 3.679 * [taylor]: Taking taylor expansion of 0 in x 3.681 * [taylor]: Taking taylor expansion of 0 in x 3.681 * * * [progress]: simplifying candidates 3.682 * [simplify]: Simplifying using # : (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (* (/ y x) -1/2) (+ (- (log y) (log x)) (log -1/2)) (+ (log (/ y x)) (log -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (* (/ y x) 1) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ 1 x) -1/2) (* y -1/2) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 3.685 * * [simplify]: iteration 0 : 91 enodes (cost 434 ) 3.706 * * [simplify]: iteration 1 : 209 enodes (cost 400 ) 3.778 * * [simplify]: iteration 2 : 595 enodes (cost 376 ) 4.275 * * [simplify]: iteration 3 : 1723 enodes (cost 371 ) 6.689 * * [simplify]: iteration done : 5001 enodes (cost 371 ) 6.689 * [simplify]: Simplified to: (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* x x) (* (+ (* (/ y x) -1/2) x) (* (/ y x) -1/2))) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (* (/ y x) -1/2) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (pow (* (/ y x) -1/2) 3) (pow (* (/ y x) -1/2) 3) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (pow (* (/ y x) -1/2) 3) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (/ y x) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (/ -1/2 x) (* y -1/2) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) 6.689 * * * [progress]: adding candidates to table 6.766 * * [progress]: iteration 3 / 4 6.766 * * * [progress]: picking best candidate 6.767 * * * * [pick]: Picked # 6.767 * * * [progress]: localizing error 6.772 * * * [progress]: generating rewritten candidates 6.773 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.775 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.783 * * * [progress]: generating series expansions 6.783 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.783 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 6.784 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.784 * [taylor]: Taking taylor expansion of x in y 6.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.784 * [taylor]: Taking taylor expansion of 1/2 in y 6.784 * [taylor]: Taking taylor expansion of (/ y x) in y 6.784 * [taylor]: Taking taylor expansion of y in y 6.784 * [taylor]: Taking taylor expansion of x in y 6.784 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.784 * [taylor]: Taking taylor expansion of x in x 6.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.784 * [taylor]: Taking taylor expansion of 1/2 in x 6.784 * [taylor]: Taking taylor expansion of (/ y x) in x 6.784 * [taylor]: Taking taylor expansion of y in x 6.784 * [taylor]: Taking taylor expansion of x in x 6.784 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.784 * [taylor]: Taking taylor expansion of x in x 6.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.784 * [taylor]: Taking taylor expansion of 1/2 in x 6.784 * [taylor]: Taking taylor expansion of (/ y x) in x 6.784 * [taylor]: Taking taylor expansion of y in x 6.784 * [taylor]: Taking taylor expansion of x in x 6.784 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.784 * [taylor]: Taking taylor expansion of 1/2 in y 6.784 * [taylor]: Taking taylor expansion of y in y 6.786 * [taylor]: Taking taylor expansion of 0 in y 6.788 * [taylor]: Taking taylor expansion of 1 in y 6.791 * [taylor]: Taking taylor expansion of 0 in y 6.792 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.792 * [taylor]: Taking taylor expansion of 1/2 in y 6.792 * [taylor]: Taking taylor expansion of (/ x y) in y 6.792 * [taylor]: Taking taylor expansion of x in y 6.792 * [taylor]: Taking taylor expansion of y in y 6.792 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.792 * [taylor]: Taking taylor expansion of x in y 6.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.792 * [taylor]: Taking taylor expansion of 1/2 in x 6.792 * [taylor]: Taking taylor expansion of (/ x y) in x 6.792 * [taylor]: Taking taylor expansion of x in x 6.792 * [taylor]: Taking taylor expansion of y in x 6.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.792 * [taylor]: Taking taylor expansion of x in x 6.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.792 * [taylor]: Taking taylor expansion of 1/2 in x 6.792 * [taylor]: Taking taylor expansion of (/ x y) in x 6.792 * [taylor]: Taking taylor expansion of x in x 6.792 * [taylor]: Taking taylor expansion of y in x 6.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.792 * [taylor]: Taking taylor expansion of x in x 6.793 * [taylor]: Taking taylor expansion of 1 in y 6.794 * [taylor]: Taking taylor expansion of 0 in y 6.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.794 * [taylor]: Taking taylor expansion of 1/2 in y 6.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.794 * [taylor]: Taking taylor expansion of y in y 6.796 * [taylor]: Taking taylor expansion of 0 in y 6.798 * [taylor]: Taking taylor expansion of 0 in y 6.799 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.799 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.799 * [taylor]: Taking taylor expansion of 1/2 in y 6.799 * [taylor]: Taking taylor expansion of (/ x y) in y 6.799 * [taylor]: Taking taylor expansion of x in y 6.799 * [taylor]: Taking taylor expansion of y in y 6.799 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.799 * [taylor]: Taking taylor expansion of x in y 6.799 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.799 * [taylor]: Taking taylor expansion of 1/2 in x 6.799 * [taylor]: Taking taylor expansion of (/ x y) in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.799 * [taylor]: Taking taylor expansion of y in x 6.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.799 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.799 * [taylor]: Taking taylor expansion of 1/2 in x 6.799 * [taylor]: Taking taylor expansion of (/ x y) in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.799 * [taylor]: Taking taylor expansion of y in x 6.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.800 * [taylor]: Taking taylor expansion of -1 in y 6.801 * [taylor]: Taking taylor expansion of 0 in y 6.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.802 * [taylor]: Taking taylor expansion of 1/2 in y 6.802 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.802 * [taylor]: Taking taylor expansion of y in y 6.804 * [taylor]: Taking taylor expansion of 0 in y 6.807 * [taylor]: Taking taylor expansion of 0 in y 6.807 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.807 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 6.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.807 * [taylor]: Taking taylor expansion of 1/2 in x 6.807 * [taylor]: Taking taylor expansion of (/ y x) in x 6.807 * [taylor]: Taking taylor expansion of y in x 6.807 * [taylor]: Taking taylor expansion of x in x 6.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.807 * [taylor]: Taking taylor expansion of 1/2 in y 6.807 * [taylor]: Taking taylor expansion of (/ y x) in y 6.807 * [taylor]: Taking taylor expansion of y in y 6.807 * [taylor]: Taking taylor expansion of x in y 6.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.807 * [taylor]: Taking taylor expansion of 1/2 in y 6.807 * [taylor]: Taking taylor expansion of (/ y x) in y 6.807 * [taylor]: Taking taylor expansion of y in y 6.807 * [taylor]: Taking taylor expansion of x in y 6.807 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.807 * [taylor]: Taking taylor expansion of 1/2 in x 6.807 * [taylor]: Taking taylor expansion of x in x 6.808 * [taylor]: Taking taylor expansion of 0 in x 6.809 * [taylor]: Taking taylor expansion of 0 in x 6.814 * [taylor]: Taking taylor expansion of 0 in x 6.814 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 6.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.815 * [taylor]: Taking taylor expansion of 1/2 in x 6.815 * [taylor]: Taking taylor expansion of (/ x y) in x 6.815 * [taylor]: Taking taylor expansion of x in x 6.815 * [taylor]: Taking taylor expansion of y in x 6.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.815 * [taylor]: Taking taylor expansion of 1/2 in y 6.815 * [taylor]: Taking taylor expansion of (/ x y) in y 6.815 * [taylor]: Taking taylor expansion of x in y 6.815 * [taylor]: Taking taylor expansion of y in y 6.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.815 * [taylor]: Taking taylor expansion of 1/2 in y 6.815 * [taylor]: Taking taylor expansion of (/ x y) in y 6.815 * [taylor]: Taking taylor expansion of x in y 6.815 * [taylor]: Taking taylor expansion of y in y 6.815 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.815 * [taylor]: Taking taylor expansion of 1/2 in x 6.815 * [taylor]: Taking taylor expansion of x in x 6.816 * [taylor]: Taking taylor expansion of 0 in x 6.819 * [taylor]: Taking taylor expansion of 0 in x 6.821 * [taylor]: Taking taylor expansion of 0 in x 6.822 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.822 * [taylor]: Taking taylor expansion of 1/2 in x 6.822 * [taylor]: Taking taylor expansion of (/ x y) in x 6.822 * [taylor]: Taking taylor expansion of x in x 6.822 * [taylor]: Taking taylor expansion of y in x 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.822 * [taylor]: Taking taylor expansion of 1/2 in y 6.822 * [taylor]: Taking taylor expansion of (/ x y) in y 6.822 * [taylor]: Taking taylor expansion of x in y 6.822 * [taylor]: Taking taylor expansion of y in y 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.822 * [taylor]: Taking taylor expansion of 1/2 in y 6.822 * [taylor]: Taking taylor expansion of (/ x y) in y 6.822 * [taylor]: Taking taylor expansion of x in y 6.822 * [taylor]: Taking taylor expansion of y in y 6.822 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.822 * [taylor]: Taking taylor expansion of 1/2 in x 6.822 * [taylor]: Taking taylor expansion of x in x 6.823 * [taylor]: Taking taylor expansion of 0 in x 6.825 * [taylor]: Taking taylor expansion of 0 in x 6.828 * [taylor]: Taking taylor expansion of 0 in x 6.828 * * * [progress]: simplifying candidates 6.829 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 6.831 * * [simplify]: iteration 0 : 87 enodes (cost 443 ) 6.855 * * [simplify]: iteration 1 : 226 enodes (cost 397 ) 6.903 * * [simplify]: iteration 2 : 623 enodes (cost 373 ) 7.185 * * [simplify]: iteration 3 : 1930 enodes (cost 372 ) 8.842 * * [simplify]: iteration done : 5001 enodes (cost 372 ) 8.842 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x))) (- (* x x) (* 1/4 (* (/ y x) (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 8.842 * * * [progress]: adding candidates to table 8.918 * [progress]: [Phase 3 of 3] Extracting. 8.918 * * [regime]: Finding splitpoints for: (# # #) 8.919 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 8.919 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 8.936 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 8.952 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 8.972 * * * * [regimes]: Trying to branch on y from (# # #) 9.016 * * * * [regimes]: Trying to branch on x from (# # #) 9.039 * * * [regime]: Found split indices: #