16.515 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.024 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.060 * [taylor]: Taking taylor expansion of 0.5 in y 0.060 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.060 * [taylor]: Taking taylor expansion of (+ x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (* x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* y x) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.097 * [taylor]: Taking taylor expansion of -0.5 in y 0.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (* y x) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.097 * [taylor]: Taking taylor expansion of -0.5 in x 0.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* y x) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.098 * [taylor]: Taking taylor expansion of -0.5 in x 0.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* y x) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.100 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.100 * [taylor]: Taking taylor expansion of 0.5 in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.103 * [taylor]: Taking taylor expansion of 0.5 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * * * [progress]: simplifying candidates 0.119 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (cbrt (+ x y)) (cbrt (* (* x 2.0) y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* (* x 2.0) y))) (/ (cbrt (+ x y)) (sqrt (* (* x 2.0) y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (* x 2.0)) (sqrt y))) (/ (cbrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (cbrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* x 2.0) (sqrt y))) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* x 2.0) 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (cbrt (+ x y)) (* (cbrt (* x 2.0)) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* x 2.0))) (/ (cbrt (+ x y)) (* (sqrt (* x 2.0)) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt x) (sqrt 2.0))) (/ (cbrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (+ x y)) (* (cbrt 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x (sqrt 2.0))) (/ (cbrt (+ x y)) (* (sqrt 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 1)) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (* (* (cbrt x) 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (* (* (sqrt x) 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2.0) (/ (cbrt (+ x y)) (* x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (sqrt (+ x y)) (cbrt (* (* x 2.0) y))) (/ (sqrt (+ x y)) (sqrt (* (* x 2.0) y))) (/ (sqrt (+ x y)) (sqrt (* (* x 2.0) y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (* x 2.0) (sqrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* (* x 2.0) 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (sqrt (+ x y)) (* (cbrt (* x 2.0)) y)) (/ (sqrt (+ x y)) (sqrt (* x 2.0))) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) (* (sqrt x) (sqrt 2.0))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) y)) (/ (sqrt (+ x y)) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (+ x y)) (* (cbrt 2.0) y)) (/ (sqrt (+ x y)) (* x (sqrt 2.0))) (/ (sqrt (+ x y)) (* (sqrt 2.0) y)) (/ (sqrt (+ x y)) (* x 1)) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (* (* (cbrt x) 2.0) y)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (* (* (sqrt x) 2.0) y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) 2.0) (/ (sqrt (+ x y)) (* x y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (cbrt (* (* x 2.0) y))) (/ 1 (sqrt (* (* x 2.0) y))) (/ (+ x y) (sqrt (* (* x 2.0) y))) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ 1 (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ 1 (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* (* x 2.0) (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 (* (* x 2.0) 1)) (/ (+ x y) y) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (* (cbrt (* x 2.0)) y)) (/ 1 (sqrt (* x 2.0))) (/ (+ x y) (* (sqrt (* x 2.0)) y)) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) y)) (/ 1 (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (* x (sqrt 2.0))) (/ (+ x y) (* (sqrt 2.0) y)) (/ 1 (* x 1)) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (* (cbrt x) 2.0) y)) (/ 1 (sqrt x)) (/ (+ x y) (* (* (sqrt x) 2.0) y)) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 2.0) (/ (+ x y) (* x y)) (/ 1 y) (/ (+ x y) (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (cbrt (* (* x 2.0) y))) (/ 1 (sqrt (* (* x 2.0) y))) (/ (+ x y) (sqrt (* (* x 2.0) y))) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ 1 (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ 1 (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* (* x 2.0) (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 (* (* x 2.0) 1)) (/ (+ x y) y) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (* (cbrt (* x 2.0)) y)) (/ 1 (sqrt (* x 2.0))) (/ (+ x y) (* (sqrt (* x 2.0)) y)) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) y)) (/ 1 (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (* x (sqrt 2.0))) (/ (+ x y) (* (sqrt 2.0) y)) (/ 1 (* x 1)) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (* (cbrt x) 2.0) y)) (/ 1 (sqrt x)) (/ (+ x y) (* (* (sqrt x) 2.0) y)) (/ 1 1) (/ (+ x y) (* (* x 2.0) y)) (/ 1 2.0) (/ (+ x y) (* x y)) (/ 1 y) (/ (+ x y) (* x 2.0)) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (+ x y) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (sqrt (* (* x 2.0) y))) (/ (+ x y) 1) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (* (* x 2.0) (sqrt y))) (/ (+ x y) (* (* x 2.0) 1)) (/ (+ x y) x) (/ (+ x y) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (sqrt (* x 2.0))) (/ (+ x y) 1) (/ (+ x y) (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* x (sqrt 2.0))) (/ (+ x y) (* x 1)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ (+ x y) 2.0) (/ (+ x y) y) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.129 * * [simplify]: iteration 0 : 563 enodes (cost 1094 ) 0.144 * * [simplify]: iteration 1 : 2514 enodes (cost 1057 ) 0.195 * * [simplify]: iteration 2 : 5001 enodes (cost 1054 ) 0.201 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (cbrt (+ x y)) (/ (* x 2.0) (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (cbrt (+ x y)) (cbrt (* (* x 2.0) y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* (* x 2.0) y))) (/ (cbrt (+ x y)) (sqrt (* (* x 2.0) y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (* x 2.0)) (sqrt y))) (/ (cbrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (cbrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (* x 2.0) (sqrt y))) (/ (cbrt (+ x y)) (sqrt y)) (/ (cbrt (+ x y)) (/ (* x 2.0) (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ x (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (cbrt (+ x y)) (* (cbrt (* x 2.0)) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* x 2.0))) (/ (cbrt (+ x y)) (* (sqrt (* x 2.0)) y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt x) (sqrt 2.0))) (/ (cbrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (+ x y)) (* (cbrt 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x (sqrt 2.0))) (/ (cbrt (+ x y)) (* (sqrt 2.0) y)) (/ (cbrt (+ x y)) (/ x (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (* (* (cbrt x) 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (* (* (sqrt x) 2.0) y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2.0) (/ (cbrt (+ x y)) (* x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (sqrt (+ x y)) (cbrt (* (* x 2.0) y))) (/ (sqrt (+ x y)) (sqrt (* (* x 2.0) y))) (/ (sqrt (+ x y)) (sqrt (* (* x 2.0) y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (sqrt (+ x y)) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (* x 2.0) (sqrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (sqrt (+ x y)) (* (cbrt (* x 2.0)) y)) (/ (sqrt (+ x y)) (sqrt (* x 2.0))) (/ (sqrt (+ x y)) (* (sqrt (* x 2.0)) y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) (* (sqrt x) (sqrt 2.0))) (/ (sqrt (+ x y)) (* (* (sqrt x) (sqrt 2.0)) y)) (/ (sqrt (+ x y)) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (+ x y)) (* (cbrt 2.0) y)) (/ (sqrt (+ x y)) (* x (sqrt 2.0))) (/ (sqrt (+ x y)) (* (sqrt 2.0) y)) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (* (* (cbrt x) 2.0) y)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (* (* (sqrt x) 2.0) y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) 2.0) (/ (sqrt (+ x y)) (* x y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (cbrt (* (* x 2.0) y))) (/ 1 (sqrt (* (* x 2.0) y))) (/ (+ x y) (sqrt (* (* x 2.0) y))) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ 1 (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ 1 (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* (* x 2.0) (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (* (cbrt (* x 2.0)) y)) (/ 1 (sqrt (* x 2.0))) (/ (+ x y) (* (sqrt (* x 2.0)) y)) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) y)) (/ 1 (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (* x (sqrt 2.0))) (/ (+ x y) (* (sqrt 2.0) y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (* (cbrt x) 2.0) y)) (/ 1 (sqrt x)) (/ (+ x y) (* (* (sqrt x) 2.0) y)) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 2.0) (/ (+ x y) (* x y)) (/ 1 y) (/ (+ x y) (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (cbrt (* (* x 2.0) y))) (/ 1 (sqrt (* (* x 2.0) y))) (/ (+ x y) (sqrt (* (* x 2.0) y))) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ 1 (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ 1 (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* (* x 2.0) (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (* (cbrt (* x 2.0)) y)) (/ 1 (sqrt (* x 2.0))) (/ (+ x y) (* (sqrt (* x 2.0)) y)) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) y)) (/ 1 (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (* x (sqrt 2.0))) (/ (+ x y) (* (sqrt 2.0) y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (* (cbrt x) 2.0) y)) (/ 1 (sqrt x)) (/ (+ x y) (* (* (sqrt x) 2.0) y)) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 2.0) (/ (+ x y) (* x y)) (/ 1 y) (/ (+ x y) (* x 2.0)) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (+ x y) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y)))) (/ (+ x y) (sqrt (* (* x 2.0) y))) (+ x y) (/ (+ x y) (* (sqrt (* x 2.0)) (sqrt y))) (/ (+ x y) (* (* (sqrt x) (sqrt 2.0)) (sqrt y))) (/ (+ x y) (* (* x 2.0) (* (cbrt y) (cbrt y)))) (/ (+ x y) (* (* x 2.0) (sqrt y))) (/ (+ x y) (* x 2.0)) (/ (+ x y) x) (/ (+ x y) (* (cbrt (* x 2.0)) (cbrt (* x 2.0)))) (/ (+ x y) (sqrt (* x 2.0))) (+ x y) (/ (+ x y) (* (sqrt x) (sqrt 2.0))) (/ (+ x y) (* x (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ x y) (* x (sqrt 2.0))) (/ (+ x y) x) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ (+ x y) 2.0) (/ (+ x y) y) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (fma x x (* y (- y x)))) (* (* (* x 2.0) y) (- x y)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) 0.202 * * * [progress]: adding candidates to table 0.359 * * [progress]: iteration 2 / 4 0.359 * * * [progress]: picking best candidate 0.364 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.370 * * * [progress]: generating rewritten candidates 0.370 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.371 * * * [progress]: generating series expansions 0.371 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.371 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.371 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.371 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.371 * [taylor]: Taking taylor expansion of 0.5 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.371 * [taylor]: Taking taylor expansion of 0.5 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.372 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of 0.5 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.372 * [taylor]: Taking taylor expansion of 0.5 in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.373 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.373 * [taylor]: Taking taylor expansion of 0.5 in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.373 * [taylor]: Taking taylor expansion of 0.5 in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 0.5 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.382 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.382 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.382 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.382 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of 0 in x 0.392 * [taylor]: Taking taylor expansion of 0 in x 0.392 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.392 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.392 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.393 * [taylor]: Taking taylor expansion of -0.5 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.393 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.393 * [taylor]: Taking taylor expansion of 0.5 in y 0.393 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.393 * [taylor]: Taking taylor expansion of -0.5 in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.393 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.393 * [taylor]: Taking taylor expansion of 0.5 in y 0.393 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.393 * [taylor]: Taking taylor expansion of -0.5 in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.394 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.400 * [taylor]: Taking taylor expansion of 0 in x 0.404 * [taylor]: Taking taylor expansion of 0 in x 0.405 * * * [progress]: simplifying candidates 0.405 * [simplify]: Simplifying using # : (expm1 (fma 0.5 (/ 1 y) (/ 0.5 x))) (log1p (fma 0.5 (/ 1 y) (/ 0.5 x))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (/ 0.5 x))) (* (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x)))) (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (* (* (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x))) (fma 0.5 (/ 1 y) (/ 0.5 x))) (sqrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (sqrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.409 * * [simplify]: iteration 0 : 33 enodes (cost 62 ) 0.411 * * [simplify]: iteration 1 : 65 enodes (cost 52 ) 0.414 * * [simplify]: iteration 2 : 306 enodes (cost 51 ) 0.423 * * [simplify]: iteration 3 : 1340 enodes (cost 51 ) 0.465 * * [simplify]: iteration 4 : 5001 enodes (cost 51 ) 0.465 * [simplify]: Simplified to: (expm1 (fma 0.5 (/ 1 y) (/ 0.5 x))) (log1p (fma 0.5 (/ 1 y) (/ 0.5 x))) (/ 0.5 y) (log (fma 0.5 (/ 1 y) (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (/ 0.5 x))) (* (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x)))) (cbrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (pow (fma 0.5 (/ 1 y) (/ 0.5 x)) 3) (sqrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (sqrt (fma 0.5 (/ 1 y) (/ 0.5 x))) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) 0.466 * * * [progress]: adding candidates to table 0.484 * * [progress]: iteration 3 / 4 0.484 * * * [progress]: picking best candidate 0.487 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.532 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.563 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.563 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.564 * [taylor]: Taking taylor expansion of 0.5 in y 0.564 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.564 * [taylor]: Taking taylor expansion of (+ x y) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (* x y) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.564 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.564 * [taylor]: Taking taylor expansion of (+ x y) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (* x y) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.565 * [taylor]: Taking taylor expansion of 0.5 in x 0.565 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.565 * [taylor]: Taking taylor expansion of (+ x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (* x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of 0.5 in y 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.567 * [taylor]: Taking taylor expansion of 0.5 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.582 * [taylor]: Taking taylor expansion of 0.5 in y 0.582 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.582 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.583 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.586 * [taylor]: Taking taylor expansion of 0.5 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 0.5 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.601 * [taylor]: Taking taylor expansion of -0.5 in y 0.601 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.602 * [taylor]: Taking taylor expansion of -0.5 in x 0.602 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.602 * [taylor]: Taking taylor expansion of -0.5 in x 0.602 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.605 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.605 * [taylor]: Taking taylor expansion of 0.5 in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.607 * [taylor]: Taking taylor expansion of 0.5 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.627 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) y)) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) y)) in y 0.627 * [taylor]: Taking taylor expansion of 0.5 in y 0.627 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.627 * [taylor]: Taking taylor expansion of (+ x y) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) y)) in x 0.628 * [taylor]: Taking taylor expansion of 0.5 in x 0.628 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.628 * [taylor]: Taking taylor expansion of (+ x y) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) y)) in x 0.628 * [taylor]: Taking taylor expansion of 0.5 in x 0.628 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.628 * [taylor]: Taking taylor expansion of (+ x y) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of 0.5 in y 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of 0.5 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.635 * [taylor]: Taking taylor expansion of 0.5 in y 0.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.636 * [taylor]: Taking taylor expansion of 0.5 in x 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.636 * [taylor]: Taking taylor expansion of 0.5 in x 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.637 * [taylor]: Taking taylor expansion of 0.5 in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of 0.5 in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.647 * [taylor]: Taking taylor expansion of 0.5 in y 0.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.648 * [taylor]: Taking taylor expansion of 0.5 in x 0.648 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.648 * [taylor]: Taking taylor expansion of 0.5 in x 0.648 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.649 * [taylor]: Taking taylor expansion of 0.5 in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 0.5 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.659 * * * [progress]: simplifying candidates 0.670 * [simplify]: Simplifying using # : (expm1 (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log1p (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (* (/ 1 x) (/ (+ x y) (* 2.0 y))) (+ (- (log x)) (- (log (+ x y)) (+ (log 2.0) (log y)))) (+ (- (log x)) (- (log (+ x y)) (log (* 2.0 y)))) (+ (- (log x)) (log (/ (+ x y) (* 2.0 y)))) (+ (- 0 (log x)) (- (log (+ x y)) (+ (log 2.0) (log y)))) (+ (- 0 (log x)) (- (log (+ x y)) (log (* 2.0 y)))) (+ (- 0 (log x)) (log (/ (+ x y) (* 2.0 y)))) (+ (- (log 1) (log x)) (- (log (+ x y)) (+ (log 2.0) (log y)))) (+ (- (log 1) (log x)) (- (log (+ x y)) (log (* 2.0 y)))) (+ (- (log 1) (log x)) (log (/ (+ x y) (* 2.0 y)))) (+ (log (/ 1 x)) (- (log (+ x y)) (+ (log 2.0) (log y)))) (+ (log (/ 1 x)) (- (log (+ x y)) (log (* 2.0 y)))) (+ (log (/ 1 x)) (log (/ (+ x y) (* 2.0 y)))) (log (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (exp (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 2.0) 2.0) (* (* y y) y)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (+ x y) (* 2.0 y)) (/ (+ x y) (* 2.0 y))) (/ (+ x y) (* 2.0 y)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 2.0) 2.0) (* (* y y) y)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (+ x y) (* 2.0 y)) (/ (+ x y) (* 2.0 y))) (/ (+ x y) (* 2.0 y)))) (* (cbrt (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (cbrt (* (/ 1 x) (/ (+ x y) (* 2.0 y))))) (cbrt (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (* (* (* (/ 1 x) (/ (+ x y) (* 2.0 y))) (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (sqrt (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (sqrt (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (* 1 (+ x y)) (* x (* 2.0 y)) (* 1 (- (+ x y))) (* x (- (* 2.0 y))) (* 1 1) (* x (/ (* 2.0 y) (+ x y))) (* 1 (/ (+ x y) 2.0)) (* x y) (* 1 (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* x (cbrt (* 2.0 y))) (* 1 (/ (+ x y) (sqrt (* 2.0 y)))) (* x (sqrt (* 2.0 y))) (* 1 (/ (+ x y) 1)) (* x (* 2.0 y)) (* 1 (/ (+ x y) (* (sqrt 2.0) (sqrt y)))) (* x (* (sqrt 2.0) (sqrt y))) (* 1 (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y))))) (* x (cbrt y)) (* 1 (/ (+ x y) (* 2.0 (sqrt y)))) (* x (sqrt y)) (* 1 (/ (+ x y) (* 2.0 1))) (* x y) (* 1 (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0)))) (* x (* (cbrt 2.0) y)) (* 1 (/ (+ x y) (sqrt 2.0))) (* x (* (sqrt 2.0) y)) (* 1 (/ (+ x y) 1)) (* x (* 2.0 y)) (* 1 (/ (+ x y) y)) (* x 2.0) (* 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (/ (* 2.0 y) (cbrt (+ x y)))) (* 1 (sqrt (+ x y))) (* x (/ (* 2.0 y) (sqrt (+ x y)))) (* 1 1) (* x (/ (* 2.0 y) (+ x y))) (* 1 1) (* x (/ (* 2.0 y) (+ x y))) (* 1 (+ (pow x 3) (pow y 3))) (* x (* (* 2.0 y) (+ (* x x) (- (* y y) (* x y))))) (* 1 (- (* x x) (* y y))) (* x (* (* 2.0 y) (- x y))) (* (- 1) (+ x y)) (* (- x) (* 2.0 y)) (* (- 1) (- (+ x y))) (* (- x) (- (* 2.0 y))) (* (- 1) 1) (* (- x) (/ (* 2.0 y) (+ x y))) (* (- 1) (/ (+ x y) 2.0)) (* (- x) y) (* (- 1) (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* (- x) (cbrt (* 2.0 y))) (* (- 1) (/ (+ x y) (sqrt (* 2.0 y)))) (* (- x) (sqrt (* 2.0 y))) (* (- 1) (/ (+ x y) 1)) (* (- x) (* 2.0 y)) (* (- 1) (/ (+ x y) (* (sqrt 2.0) (sqrt y)))) (* (- x) (* (sqrt 2.0) (sqrt y))) (* (- 1) (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y))))) (* (- x) (cbrt y)) (* (- 1) (/ (+ x y) (* 2.0 (sqrt y)))) (* (- x) (sqrt y)) (* (- 1) (/ (+ x y) (* 2.0 1))) (* (- x) y) (* (- 1) (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0)))) (* (- x) (* (cbrt 2.0) y)) (* (- 1) (/ (+ x y) (sqrt 2.0))) (* (- x) (* (sqrt 2.0) y)) (* (- 1) (/ (+ x y) 1)) (* (- x) (* 2.0 y)) (* (- 1) (/ (+ x y) y)) (* (- x) 2.0) (* (- 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x) (/ (* 2.0 y) (cbrt (+ x y)))) (* (- 1) (sqrt (+ x y))) (* (- x) (/ (* 2.0 y) (sqrt (+ x y)))) (* (- 1) 1) (* (- x) (/ (* 2.0 y) (+ x y))) (* (- 1) 1) (* (- x) (/ (* 2.0 y) (+ x y))) (* (- 1) (+ (pow x 3) (pow y 3))) (* (- x) (* (* 2.0 y) (+ (* x x) (- (* y y) (* x y))))) (* (- 1) (- (* x x) (* y y))) (* (- x) (* (* 2.0 y) (- x y))) (* 1 (+ x y)) (* (/ x 1) (* 2.0 y)) (* 1 (- (+ x y))) (* (/ x 1) (- (* 2.0 y))) (* 1 1) (* (/ x 1) (/ (* 2.0 y) (+ x y))) (* 1 (/ (+ x y) 2.0)) (* (/ x 1) y) (* 1 (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* (/ x 1) (cbrt (* 2.0 y))) (* 1 (/ (+ x y) (sqrt (* 2.0 y)))) (* (/ x 1) (sqrt (* 2.0 y))) (* 1 (/ (+ x y) 1)) (* (/ x 1) (* 2.0 y)) (* 1 (/ (+ x y) (* (sqrt 2.0) (sqrt y)))) (* (/ x 1) (* (sqrt 2.0) (sqrt y))) (* 1 (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y))))) (* (/ x 1) (cbrt y)) (* 1 (/ (+ x y) (* 2.0 (sqrt y)))) (* (/ x 1) (sqrt y)) (* 1 (/ (+ x y) (* 2.0 1))) (* (/ x 1) y) (* 1 (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ x 1) (* (cbrt 2.0) y)) (* 1 (/ (+ x y) (sqrt 2.0))) (* (/ x 1) (* (sqrt 2.0) y)) (* 1 (/ (+ x y) 1)) (* (/ x 1) (* 2.0 y)) (* 1 (/ (+ x y) y)) (* (/ x 1) 2.0) (* 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (/ x 1) (/ (* 2.0 y) (cbrt (+ x y)))) (* 1 (sqrt (+ x y))) (* (/ x 1) (/ (* 2.0 y) (sqrt (+ x y)))) (* 1 1) (* (/ x 1) (/ (* 2.0 y) (+ x y))) (* 1 1) (* (/ x 1) (/ (* 2.0 y) (+ x y))) (* 1 (+ (pow x 3) (pow y 3))) (* (/ x 1) (* (* 2.0 y) (+ (* x x) (- (* y y) (* x y))))) (* 1 (- (* x x) (* y y))) (* (/ x 1) (* (* 2.0 y) (- x y))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ x y)) (* (cbrt x) (* 2.0 y)) (* (/ 1 (* (cbrt x) (cbrt x))) (- (+ x y))) (* (cbrt x) (- (* 2.0 y))) (* (/ 1 (* (cbrt x) (cbrt x))) 1) (* (cbrt x) (/ (* 2.0 y) (+ x y))) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) 2.0)) (* (cbrt x) y) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* (cbrt x) (cbrt (* 2.0 y))) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt (* 2.0 y)))) (* (cbrt x) (sqrt (* 2.0 y))) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) 1)) (* (cbrt x) (* 2.0 y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (sqrt 2.0) (sqrt y)))) (* (cbrt x) (* (sqrt 2.0) (sqrt y))) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y))))) (* (cbrt x) (cbrt y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* 2.0 (sqrt y)))) (* (cbrt x) (sqrt y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* 2.0 1))) (* (cbrt x) y) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt x) (* (cbrt 2.0) y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt 2.0))) (* (cbrt x) (* (sqrt 2.0) y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) 1)) (* (cbrt x) (* 2.0 y)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) y)) (* (cbrt x) 2.0) (* (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt x) (/ (* 2.0 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(sqrt 2.0) (sqrt y))) (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (+ x y) (* 2.0 (sqrt y))) (/ (+ x y) (* 2.0 1)) (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (+ x y) (sqrt 2.0)) (/ (+ x y) 1) (/ (+ x y) y) (/ (* 2.0 y) (cbrt (+ x y))) (/ (* 2.0 y) (sqrt (+ x y))) (/ (* 2.0 y) (+ x y)) (/ (* 2.0 y) (+ x y)) (* (* 2.0 y) (+ (* x x) (- (* y y) (* x y)))) (* (* 2.0 y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ x y)) 0.5) (+ (* 0.5 (/ x y)) 0.5) (+ (* 0.5 (/ x y)) 0.5) 0.692 * * [simplify]: iteration 0 : 1732 enodes (cost 2945 ) 0.731 * * [simplify]: iteration 1 : 5001 enodes (cost 2772 ) 0.748 * [simplify]: Simplified to: (expm1 (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log1p (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (/ (/ (+ x y) (* 2.0 y)) x) (log (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log (* (/ 1 x) (/ (+ x y) (* 2.0 y)))) (log (* (/ 1 x) 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2.0 y)))) (* (/ 1 (sqrt x)) (/ (sqrt (+ x y)) (* (sqrt 2.0) (sqrt y)))) (* (/ 1 (sqrt x)) (/ (sqrt (+ x y)) (* (sqrt 2.0) (sqrt y)))) (* (/ 1 x) (* (cbrt (/ (+ x y) (* 2.0 y))) (cbrt (/ (+ x y) (* 2.0 y))))) (* (/ 1 x) (sqrt (/ (+ x y) (* 2.0 y)))) (/ (* (/ 1 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 2.0) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* 2.0 y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt 2.0) (sqrt y)))) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 (* (cbrt y) (cbrt y))))) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 (sqrt y)))) (/ (* (/ 1 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 2.0) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (/ 1 x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y)) (/ (* (/ 1 x) (sqrt (+ x y))) 2.0) (* (/ 1 x) (/ (sqrt (+ x y)) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y))))) (* (/ 1 x) (/ (sqrt (+ x y)) (sqrt (* 2.0 y)))) (/ (sqrt (+ x y)) x) (* (/ 1 x) (/ (sqrt (+ x y)) (* (sqrt 2.0) (sqrt y)))) (* (/ 1 x) (/ (sqrt (+ x y)) (* 2.0 (* (cbrt y) (cbrt y))))) (* (/ 1 x) (/ (sqrt (+ x y)) (* 2.0 (sqrt y)))) (/ (* (/ 1 x) (sqrt (+ x y))) 2.0) (* (/ 1 x) (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ 1 x) (/ (sqrt (+ x y)) (sqrt 2.0))) (/ (sqrt (+ x y)) x) (* (/ 1 x) (/ (sqrt (+ x y)) y)) (/ (/ 1 x) 2.0) (/ (/ 1 x) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (/ 1 x) (sqrt (* 2.0 y))) (/ 1 x) (/ (/ 1 x) (* (sqrt 2.0) (sqrt y))) (/ (/ 1 x) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (/ 1 x) (* 2.0 (sqrt y))) (/ (/ 1 x) 2.0) (/ (/ 1 x) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ 1 x) (sqrt 2.0)) (/ 1 x) (/ (/ 1 x) y) (/ (/ 1 x) 2.0) (/ (/ 1 x) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (/ 1 x) (sqrt (* 2.0 y))) (/ 1 x) (/ (/ 1 x) (* (sqrt 2.0) (sqrt y))) (/ (/ 1 x) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (/ 1 x) (* 2.0 (sqrt y))) (/ (/ 1 x) 2.0) (/ (/ 1 x) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ 1 x) (sqrt 2.0)) (/ 1 x) (/ (/ 1 x) y) (/ 1 x) (/ (+ x y) x) (* (cbrt (/ 1 x)) (/ (+ x y) (* 2.0 y))) (* (sqrt (/ 1 x)) (/ (+ x y) (* 2.0 y))) (* (/ (cbrt 1) (cbrt x)) (/ (+ x y) (* 2.0 y))) (* (/ (cbrt 1) (sqrt x)) (/ (+ x y) (* 2.0 y))) (* (/ (cbrt 1) x) (/ (+ x y) (* 2.0 y))) (/ (/ (+ x y) (* 2.0 y)) (cbrt x)) (/ (/ (+ x y) (* 2.0 y)) (sqrt x)) (/ (/ (+ x y) (* 2.0 y)) x) (/ (/ (+ x y) (* 2.0 y)) (cbrt x)) (/ (/ (+ x y) (* 2.0 y)) (sqrt x)) (/ (/ (+ x y) (* 2.0 y)) x) (/ (/ (+ x y) (* 2.0 y)) x) (/ (/ (+ x y) (* 2.0 y)) x) (/ (+ x y) x) (/ (- (+ x y)) x) (/ 1 x) (/ (/ (+ x y) 2.0) x) (/ (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) x) (/ (/ (+ x y) (sqrt (* 2.0 y))) x) (/ (+ x y) x) (/ (/ (+ x y) (* (sqrt 2.0) (sqrt y))) x) (/ (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y)))) x) (/ (/ (+ x y) (* 2.0 (sqrt y))) x) (/ (/ (+ x y) 2.0) x) (/ (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0))) x) (/ (/ (+ x y) (sqrt 2.0)) x) (/ (+ x y) x) (/ (/ (+ x y) y) x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (sqrt (+ x y)) x) (/ 1 x) (/ 1 x) (/ (+ (pow x 3) (pow y 3)) x) (/ (- (* x x) (* y y)) x) (/ (+ x y) (* 2.0 y)) (- (/ (+ x y) (* 2.0 y))) (/ (+ x y) (* 2.0 y)) (/ (/ (+ x y) (* 2.0 y)) (* (cbrt x) (cbrt x))) (/ (/ (+ x y) (* 2.0 y)) (sqrt x)) (/ (+ x y) (* 2.0 y)) (* (* (cbrt 1) (cbrt 1)) (/ (+ x y) (* 2.0 y))) (/ (+ x y) (* 2.0 y)) (/ (+ x y) (* 2.0 y)) (expm1 (/ (+ x y) (* 2.0 y))) (log1p (/ (+ x y) (* 2.0 y))) (log (/ (+ x y) (* 2.0 y))) (log (/ (+ x y) (* 2.0 y))) (log (/ (+ x y) (* 2.0 y))) (exp (/ (+ x y) (* 2.0 y))) (* (/ (* (+ x y) (+ x y)) (pow y 3)) (/ (+ x y) (pow 2.0 3))) (pow (/ (+ x y) (* 2.0 y)) 3) (* (cbrt (/ (+ x y) (* 2.0 y))) (cbrt (/ (+ x y) (* 2.0 y)))) (cbrt (/ (+ x y) (* 2.0 y))) (pow (/ (+ x y) (* 2.0 y)) 3) (sqrt (/ (+ x y) (* 2.0 y))) (sqrt (/ (+ x y) (* 2.0 y))) (- (+ x y)) (- (* 2.0 y)) (/ (cbrt (+ x y)) (/ 2.0 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (cbrt (+ x y)) (cbrt (* 2.0 y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* 2.0 y))) (/ (cbrt (+ x y)) (sqrt (* 2.0 y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt 2.0) (sqrt y))) (/ (cbrt (+ x y)) (* (sqrt 2.0) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 (sqrt y))) (/ (cbrt (+ x y)) (sqrt y)) (/ (cbrt (+ x y)) (/ 2.0 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0))) (/ (cbrt (+ x y)) (* (cbrt 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0)) (/ (cbrt (+ x y)) (* (sqrt 2.0) y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) 2.0) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (sqrt (+ x y)) (cbrt (* 2.0 y))) (/ (sqrt (+ x y)) (sqrt (* 2.0 y))) (/ (sqrt (+ x y)) (sqrt (* 2.0 y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) (* (sqrt 2.0) (sqrt y))) (/ (sqrt (+ x y)) (* (sqrt 2.0) (sqrt y))) (/ (sqrt (+ x y)) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2.0 (sqrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 2.0) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (+ x y)) (* (cbrt 2.0) y)) (/ (sqrt (+ x y)) (sqrt 2.0)) (/ (sqrt (+ x y)) (* (sqrt 2.0) y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2.0) (/ 1 2.0) (/ (+ x y) y) (/ 1 (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (+ x y) (cbrt (* 2.0 y))) (/ 1 (sqrt (* 2.0 y))) (/ (+ x y) (sqrt (* 2.0 y))) 1 (/ (+ x y) (* 2.0 y)) (/ 1 (* (sqrt 2.0) (sqrt y))) (/ (+ x y) (* (sqrt 2.0) (sqrt y))) (/ 1 (* 2.0 (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* 2.0 (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 2.0) (/ (+ x y) y) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)) 1 (/ (+ x y) (* 2.0 y)) (/ 1 y) (/ (+ x y) 2.0) (/ 1 2.0) (/ (+ x y) y) (/ 1 (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (+ x y) (cbrt (* 2.0 y))) (/ 1 (sqrt (* 2.0 y))) (/ (+ x y) (sqrt (* 2.0 y))) 1 (/ (+ x y) (* 2.0 y)) (/ 1 (* (sqrt 2.0) (sqrt y))) (/ (+ x y) (* (sqrt 2.0) (sqrt y))) (/ 1 (* 2.0 (* (cbrt y) (cbrt y)))) (/ (+ x y) (cbrt y)) (/ 1 (* 2.0 (sqrt y))) (/ (+ x y) (sqrt y)) (/ 1 2.0) (/ (+ x y) y) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ (+ x y) (* (cbrt 2.0) y)) (/ 1 (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)) 1 (/ (+ x y) (* 2.0 y)) (/ 1 y) (/ (+ x y) 2.0) (/ 1 (* 2.0 y)) (/ (* 2.0 y) (+ x y)) (/ (+ x y) 2.0) (/ (+ x y) (* (cbrt (* 2.0 y)) (cbrt (* 2.0 y)))) (/ (+ x y) (sqrt (* 2.0 y))) (+ x y) (/ (+ x y) (* (sqrt 2.0) (sqrt y))) (/ (+ x y) (* 2.0 (* (cbrt y) (cbrt y)))) (/ (+ x y) (* 2.0 (sqrt y))) (/ (+ x y) 2.0) (/ (+ x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (+ x y) (sqrt 2.0)) (+ x y) (/ (+ x y) y) (/ (* 2.0 y) (cbrt (+ x y))) (/ (* 2.0 y) (sqrt (+ x y))) (/ (* 2.0 y) (+ x y)) (/ (* 2.0 y) (+ x y)) (* (* 2.0 y) (fma x x (* y (- y x)))) (* (* 2.0 y) (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ x y) 0.5) (fma 0.5 (/ x y) 0.5) (fma 0.5 (/ x y) 0.5) 0.752 * * * [progress]: adding candidates to table 1.158 * * [progress]: iteration 4 / 4 1.158 * * * [progress]: picking best candidate 1.160 * * * * [pick]: Picked # 1.160 * * * [progress]: localizing error 1.169 * * * [progress]: generating rewritten candidates 1.169 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.416 * * * [progress]: generating series expansions 1.416 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.417 * [approximate]: Taking taylor expansion of (/ (+ x y) (* x (* (pow (sqrt 2.0) 2) y))) in (x y) around 0 1.417 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x (* (pow (sqrt 2.0) 2) y))) in y 1.418 * [taylor]: Taking taylor expansion of (+ x y) in y 1.418 * [taylor]: Taking taylor expansion of x in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.418 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.418 * [taylor]: Taking taylor expansion of x in y 1.418 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.418 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.418 * [taylor]: Taking taylor expansion of 2.0 in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.424 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x (* (pow (sqrt 2.0) 2) y))) in x 1.424 * [taylor]: Taking taylor expansion of (+ x y) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of y in x 1.424 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.424 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.424 * [taylor]: Taking taylor expansion of 2.0 in x 1.425 * [taylor]: Taking taylor expansion of y in x 1.439 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x (* (pow (sqrt 2.0) 2) y))) in x 1.439 * [taylor]: Taking taylor expansion of (+ x y) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of y in x 1.439 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.439 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.439 * [taylor]: Taking taylor expansion of 2.0 in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in y 1.445 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.445 * [taylor]: Taking taylor expansion of 2.0 in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) y)) in y 1.453 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.453 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.453 * [taylor]: Taking taylor expansion of 2.0 in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of 0 in y 1.482 * [taylor]: Taking taylor expansion of 0 in y 1.498 * [taylor]: Taking taylor expansion of 0 in y 1.501 * [approximate]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in (x y) around 0 1.501 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in y 1.501 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.501 * [taylor]: Taking taylor expansion of 2.0 in y 1.505 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in x 1.505 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.506 * [taylor]: Taking taylor expansion of 2.0 in x 1.509 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in x 1.509 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.510 * [taylor]: Taking taylor expansion of 2.0 in x 1.519 * [taylor]: Taking taylor expansion of (/ y (pow (sqrt 2.0) 2)) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.519 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.519 * [taylor]: Taking taylor expansion of 2.0 in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.526 * [taylor]: Taking taylor expansion of 2.0 in y 1.537 * [taylor]: Taking taylor expansion of 0 in y 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2))) in (x y) around 0 1.551 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2))) in y 1.551 * [taylor]: Taking taylor expansion of -1 in y 1.551 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in y 1.551 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 1.551 * [taylor]: Taking taylor expansion of x in y 1.551 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.552 * [taylor]: Taking taylor expansion of 2.0 in y 1.556 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2))) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in x 1.556 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.556 * [taylor]: Taking taylor expansion of 2.0 in x 1.560 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2))) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of (/ (* x (* y (+ (/ 1 y) (/ 1 x)))) (pow (sqrt 2.0) 2)) in x 1.560 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.560 * [taylor]: Taking taylor expansion of 2.0 in x 1.565 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow (sqrt 2.0) 2))) in y 1.565 * [taylor]: Taking taylor expansion of -1 in y 1.565 * [taylor]: Taking taylor expansion of (/ y (pow (sqrt 2.0) 2)) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.565 * [taylor]: Taking taylor expansion of 2.0 in y 1.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (sqrt 2.0) 2))) in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in y 1.574 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.574 * [taylor]: Taking taylor expansion of 2.0 in y 1.590 * [taylor]: Taking taylor expansion of 0 in y 1.607 * [taylor]: Taking taylor expansion of 0 in y 1.613 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.613 * [approximate]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in (x) around 0 1.613 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in x 1.613 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.613 * [taylor]: Taking taylor expansion of 2.0 in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in x 1.616 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.616 * [taylor]: Taking taylor expansion of 2.0 in x 1.634 * [approximate]: Taking taylor expansion of (/ x (sqrt 2.0)) in (x) around 0 1.634 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.634 * [taylor]: Taking taylor expansion of 2.0 in x 1.636 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.636 * [taylor]: Taking taylor expansion of 2.0 in x 1.646 * [approximate]: Taking taylor expansion of (* -1 (/ x (sqrt 2.0))) in (x) around 0 1.647 * [taylor]: Taking taylor expansion of (* -1 (/ x (sqrt 2.0))) in x 1.647 * [taylor]: Taking taylor expansion of -1 in x 1.647 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.647 * [taylor]: Taking taylor expansion of 2.0 in x 1.648 * [taylor]: Taking taylor expansion of (* -1 (/ x (sqrt 2.0))) in x 1.648 * [taylor]: Taking taylor expansion of -1 in x 1.648 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.648 * [taylor]: Taking taylor expansion of 2.0 in x 1.665 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.665 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) y) in (y) around 0 1.665 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.665 * [taylor]: Taking taylor expansion of 2.0 in y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.666 * [taylor]: Taking taylor expansion of 2.0 in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.685 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) y) in (y) around 0 1.685 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 1.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.685 * [taylor]: Taking taylor expansion of 2.0 in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 1.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.686 * [taylor]: Taking taylor expansion of 2.0 in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.696 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) y)) in (y) around 0 1.696 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) y)) in y 1.696 * [taylor]: Taking taylor expansion of -1 in y 1.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 1.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.696 * [taylor]: Taking taylor expansion of 2.0 in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.697 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) y)) in y 1.697 * [taylor]: Taking taylor expansion of -1 in y 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 1.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.697 * [taylor]: Taking taylor expansion of 2.0 in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.712 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.712 * [approximate]: Taking taylor expansion of (/ (+ x y) (* (sqrt 2.0) y)) in (x y) around 0 1.712 * [taylor]: Taking taylor expansion of (/ (+ x y) (* (sqrt 2.0) y)) in y 1.712 * [taylor]: Taking taylor expansion of (+ x y) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.712 * [taylor]: Taking taylor expansion of 2.0 in y 1.713 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of (/ (+ x y) (* (sqrt 2.0) y)) in x 1.715 * [taylor]: Taking taylor expansion of (+ x y) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in x 1.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.715 * [taylor]: Taking taylor expansion of 2.0 in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (/ (+ x y) (* (sqrt 2.0) y)) in x 1.717 * [taylor]: Taking taylor expansion of (+ x y) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in x 1.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.717 * [taylor]: Taking taylor expansion of 2.0 in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in y 1.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.718 * [taylor]: Taking taylor expansion of 2.0 in y 1.721 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) y)) in y 1.721 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.721 * [taylor]: Taking taylor expansion of 2.0 in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.729 * [taylor]: Taking taylor expansion of 0 in y 1.735 * [taylor]: Taking taylor expansion of 0 in y 1.743 * [taylor]: Taking taylor expansion of 0 in y 1.745 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in (x y) around 0 1.745 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in y 1.745 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.745 * [taylor]: Taking taylor expansion of 2.0 in y 1.748 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in x 1.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.748 * [taylor]: Taking taylor expansion of y in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of y in x 1.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.749 * [taylor]: Taking taylor expansion of 2.0 in x 1.750 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in x 1.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.750 * [taylor]: Taking taylor expansion of 2.0 in x 1.752 * [taylor]: Taking taylor expansion of (/ y (sqrt 2.0)) in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.752 * [taylor]: Taking taylor expansion of 2.0 in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in y 1.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.761 * [taylor]: Taking taylor expansion of 2.0 in y 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.772 * [taylor]: Taking taylor expansion of 0 in y 1.775 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in (x y) around 0 1.775 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in y 1.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.776 * [taylor]: Taking taylor expansion of x in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.776 * [taylor]: Taking taylor expansion of 2.0 in y 1.778 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in x 1.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.779 * [taylor]: Taking taylor expansion of 2.0 in x 1.780 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) y) (sqrt 2.0)) in x 1.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.780 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.781 * [taylor]: Taking taylor expansion of 2.0 in x 1.782 * [taylor]: Taking taylor expansion of (/ y (sqrt 2.0)) in y 1.782 * [taylor]: Taking taylor expansion of y in y 1.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.782 * [taylor]: Taking taylor expansion of 2.0 in y 1.785 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in y 1.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.785 * [taylor]: Taking taylor expansion of 2.0 in y 1.791 * [taylor]: Taking taylor expansion of 0 in y 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.799 * * * [progress]: simplifying candidates 1.832 * [simplify]: Simplifying using # : (expm1 (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (log1p (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y))) (+ (- (- (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (+ (log (sqrt 2.0)) (log y)))) (+ (- (- (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (log (* (sqrt 2.0) y)))) (+ (- (- (log x)) (log (sqrt 2.0))) (log (/ (+ x y) (* (sqrt 2.0) y)))) (+ (- (- 0 (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (+ (log (sqrt 2.0)) (log y)))) (+ (- (- 0 (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (log (* (sqrt 2.0) y)))) (+ (- (- 0 (log x)) (log (sqrt 2.0))) (log (/ (+ x y) (* (sqrt 2.0) y)))) (+ (- (- (log 1) (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (+ (log (sqrt 2.0)) (log y)))) (+ (- (- (log 1) (log x)) (log (sqrt 2.0))) (- (log (+ x y)) (log (* (sqrt 2.0) y)))) (+ (- (- (log 1) (log x)) (log (sqrt 2.0))) (log (/ (+ x y) (* (sqrt 2.0) y)))) (+ (- (log (/ 1 x)) (log (sqrt 2.0))) (- (log (+ x y)) (+ (log (sqrt 2.0)) (log y)))) (+ (- (log (/ 1 x)) (log (sqrt 2.0))) (- (log (+ x y)) (log (* (sqrt 2.0) y)))) (+ (- (log (/ 1 x)) (log (sqrt 2.0))) (log (/ (+ x y) (* (sqrt 2.0) y)))) (+ (log (/ (/ 1 x) (sqrt 2.0))) (- (log (+ x y)) (+ (log (sqrt 2.0)) (log y)))) (+ (log (/ (/ 1 x) (sqrt 2.0))) (- (log (+ x y)) (log (* (sqrt 2.0) y)))) (+ (log (/ (/ 1 x) (sqrt 2.0))) (log (/ (+ x y) (* (sqrt 2.0) y)))) (log (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (exp (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (* (/ (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* y y) y)))) (* (/ (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) y) (* (sqrt 2.0) y)) (* (sqrt 2.0) y)))) (* (/ (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (/ (+ x y) (* (sqrt 2.0) y)) (/ (+ x y) (* (sqrt 2.0) y))) (/ (+ x y) (* (sqrt 2.0) y)))) (* (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* y y) y)))) (* (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) y) (* (sqrt 2.0) y)) (* (sqrt 2.0) y)))) (* (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (/ (+ x y) (* (sqrt 2.0) y)) (/ (+ x y) (* (sqrt 2.0) y))) (/ (+ x y) (* (sqrt 2.0) y)))) (* (* (* (/ (/ 1 x) (sqrt 2.0)) (/ (/ 1 x) (sqrt 2.0))) (/ (/ 1 x) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* y y) y)))) (* (* (* (/ (/ 1 x) (sqrt 2.0)) (/ (/ 1 x) (sqrt 2.0))) (/ (/ 1 x) (sqrt 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (sqrt 2.0) y) (* (sqrt 2.0) y)) (* (sqrt 2.0) y)))) (* (* (* (/ (/ 1 x) (sqrt 2.0)) (/ (/ 1 x) (sqrt 2.0))) (/ (/ 1 x) (sqrt 2.0))) (* (* (/ (+ x y) (* (sqrt 2.0) y)) (/ (+ x y) (* (sqrt 2.0) y))) (/ (+ x y) (* (sqrt 2.0) y)))) (* (cbrt (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (cbrt (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y))))) (cbrt (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (* (* (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y))) (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (sqrt (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (sqrt (* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))) (* (/ 1 x) (+ x y)) (* (sqrt 2.0) (* (sqrt 2.0) y)) (* (/ 1 x) (- (+ x y))) (* (sqrt 2.0) (- (* (sqrt 2.0) y))) (* (/ 1 x) 1) (* (sqrt 2.0) (/ (* (sqrt 2.0) y) (+ x y))) (* (/ 1 x) (/ (+ x y) (sqrt 2.0))) (* (sqrt 2.0) y) (* (/ 1 x) (/ (+ x y) (* (cbrt (* (sqrt 2.0) y)) (cbrt (* (sqrt 2.0) y))))) (* (sqrt 2.0) (cbrt (* (sqrt 2.0) y))) (* (/ 1 x) (/ (+ x y) (sqrt (* (sqrt 2.0) y)))) (* (sqrt 2.0) (sqrt (* (sqrt 2.0) y))) (* (/ 1 x) (/ (+ x y) 1)) (* (sqrt 2.0) (* (sqrt 2.0) y)) (* (/ 1 x) (/ (+ x y) (* (sqrt (sqrt 2.0)) (sqrt y)))) (* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (sqrt y))) (* (/ 1 x) (/ (+ x y) (* (sqrt (sqrt 2.0)) (sqrt y)))) (* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (sqrt y))) (* (/ 1 x) (/ (+ x y) (* (sqrt 2.0) (* (cbrt y) (cbrt y))))) (* (sqrt 2.0) (cbrt y)) (* (/ 1 x) (/ (+ x y) (* (sqrt 2.0) (sqrt y)))) (* (sqrt 2.0) (sqrt y)) (* (/ 1 x) (/ (+ x y) (* (sqrt 2.0) 1))) (* (sqrt 2.0) y) (* (/ 1 x) (/ (+ x y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt 2.0) (* (cbrt (sqrt 2.0)) y)) (* (/ 1 x) (/ (+ x y) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt 2.0) (* (sqrt (cbrt 2.0)) y)) (* (/ 1 x) (/ (+ x y) (sqrt (sqrt 2.0)))) (* (sqrt 2.0) (* (sqrt (sqrt 2.0)) y)) (* (/ 1 x) (/ (+ x y) (sqrt 1))) (* (sqrt 2.0) (* (sqrt 2.0) y)) (* (/ 1 x) (/ (+ x y) (sqrt (sqrt 2.0)))) (* (sqrt 2.0) (* (sqrt (sqrt 2.0)) y)) (* (/ 1 x) (/ (+ x y) 1)) (* (sqrt 2.0) (* (sqrt 2.0) y)) (* (/ 1 x) (/ (+ x y) y)) (* (sqrt 2.0) (sqrt 2.0)) (* (/ 1 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (sqrt 2.0) (/ (* (sqrt 2.0) y) (cbrt (+ x y)))) (* (/ 1 x) (sqrt (+ x y))) (* (sqrt 2.0) (/ (* (sqrt 2.0) y) (sqrt (+ x y)))) (* (/ 1 x) 1) (* (sqrt 2.0) (/ (* (sqrt 2.0) y) (+ x y))) (* (/ 1 x) 1) (* (sqrt 2.0) (/ (* (sqrt 2.0) y) (+ x y))) (* (/ 1 x) (+ (pow x 3) (pow y 3))) (* (sqrt 2.0) (* (* (sqrt 2.0) y) (+ (* x x) (- (* y y) (* x y))))) (* (/ 1 x) (- (* x x) (* y y))) (* (sqrt 2.0) (* (* (sqrt 2.0) y) (- x y))) (* (- (/ 1 x)) (+ x y)) (* (- (sqrt 2.0)) (* (sqrt 2.0) y)) (* (- (/ 1 x)) (- (+ x y))) (* (- (sqrt 2.0)) (- (* (sqrt 2.0) y))) (* (- (/ 1 x)) 1) (* (- (sqrt 2.0)) (/ (* (sqrt 2.0) y) (+ x y))) (* (- (/ 1 x)) (/ (+ x y) (sqrt 2.0))) (* (- (sqrt 2.0)) y) (* (- (/ 1 x)) (/ (+ x y) (* (cbrt (* (sqrt 2.0) y)) (cbrt (* (sqrt 2.0) y))))) (* (- (sqrt 2.0)) (cbrt (* (sqrt 2.0) y))) (* (- (/ 1 x)) (/ (+ x y) (sqrt (* (sqrt 2.0) y)))) (* (- (sqrt 2.0)) (sqrt (* (sqrt 2.0) y))) (* (- (/ 1 x)) (/ (+ x y) 1)) (* (- (sqrt 2.0)) (* (sqrt 2.0) y)) (* (- (/ 1 x)) (/ (+ x y) (* (sqrt (sqrt 2.0)) (sqrt y)))) (* (- (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt y))) (* (- (/ 1 x)) (/ (+ x y) 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(sqrt 2.0)) (/ x (* (sqrt 2.0) y))) (+ (/ 1 (sqrt 2.0)) (/ x (* (sqrt 2.0) y))) 2.106 * * * [progress]: adding candidates to table 4.276 * [progress]: [Phase 3 of 3] Extracting. 4.276 * * [regime]: Finding splitpoints for: (# # #) 4.277 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.277 * * * * [regimes]: Trying to branch on y from (# # #) 4.291 * * * * [regimes]: Trying to branch on x from (# # #) 4.305 * * * [regime]: Found split indices: #