15.166 * [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 (+ 1.0 (/ (* x y) 2.0)))) 0.016 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.018 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.019 * * [simplify]: iteration 2 : 26 enodes (cost 5 ) 0.020 * * [simplify]: iteration 3 : 29 enodes (cost 5 ) 0.021 * * [simplify]: iteration 4 : 30 enodes (cost 5 ) 0.023 * * [simplify]: iteration 5 : 30 enodes (cost 5 ) 0.023 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.037 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.043 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (* x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.047 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of 0.25 in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.053 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.053 * [taylor]: Taking taylor expansion of 0.125 in x 0.053 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.057 * [taylor]: Taking taylor expansion of 0.0625 in x 0.057 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.058 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.059 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.059 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.059 * [taylor]: Taking taylor expansion of 0.5 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.059 * [taylor]: Taking taylor expansion of (* x y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.061 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.061 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.061 * [taylor]: Taking taylor expansion of (* x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.066 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of 4.0 in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.072 * [taylor]: Taking taylor expansion of 8.0 in x 0.072 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.077 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.077 * [taylor]: Taking taylor expansion of 16.0 in x 0.077 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.082 * [taylor]: Taking taylor expansion of 32.0 in x 0.082 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.083 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.083 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.084 * [taylor]: Taking taylor expansion of -1 in y 0.084 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.084 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.084 * [taylor]: Taking taylor expansion of 0.5 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.084 * [taylor]: Taking taylor expansion of (* x y) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 1.0 in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.086 * [taylor]: Taking taylor expansion of -1 in y 0.086 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.086 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.086 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.086 * [taylor]: Taking taylor expansion of (* x y) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 1.0 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.088 * [taylor]: Taking taylor expansion of -2.0 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of 4.0 in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.094 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.094 * [taylor]: Taking taylor expansion of 8.0 in x 0.094 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.098 * [taylor]: Taking taylor expansion of 16.0 in x 0.098 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.103 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.103 * [taylor]: Taking taylor expansion of 32.0 in x 0.103 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.105 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 2) 0.105 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [taylor]: Taking taylor expansion of (* x y) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.107 * [taylor]: Taking taylor expansion of 0.5 in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of 0.5 in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of 0.5 in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of 0.5 in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.114 * [taylor]: Taking taylor expansion of 0.5 in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.119 * [taylor]: Taking taylor expansion of 0.5 in y 0.119 * [taylor]: Taking taylor expansion of (* x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.119 * [taylor]: Taking taylor expansion of 0.5 in x 0.119 * [taylor]: Taking taylor expansion of (* x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.119 * [taylor]: Taking taylor expansion of 0.5 in x 0.119 * [taylor]: Taking taylor expansion of (* x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.120 * [taylor]: Taking taylor expansion of 0.5 in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.124 * * * [progress]: simplifying candidates 0.125 * [simplify]: Simplifying using # : (expm1 (/ y (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.130 * * [simplify]: iteration 0 : 306 enodes (cost 377 ) 0.136 * * [simplify]: iteration 1 : 1339 enodes (cost 349 ) 0.158 * * [simplify]: iteration 2 : 5001 enodes (cost 342 ) 0.160 * [simplify]: Simplified to: (expm1 (/ y (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (fma (/ x 2.0) y 1.0) (pow y 1/2)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.161 * * * [progress]: adding candidates to table 0.276 * * [progress]: iteration 2 / 4 0.276 * * * [progress]: picking best candidate 0.280 * * * * [pick]: Picked # 0.280 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.298 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.304 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2 2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.312 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.312 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.312 * [taylor]: Taking taylor expansion of 0.5 in x 0.312 * [taylor]: Taking taylor expansion of (* x y) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.313 * [taylor]: Taking taylor expansion of 0.5 in y 0.313 * [taylor]: Taking taylor expansion of (* x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 1.0 in y 0.314 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.314 * [taylor]: Taking taylor expansion of 0.5 in y 0.314 * [taylor]: Taking taylor expansion of (* x y) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 1.0 in y 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.316 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.316 * [taylor]: Taking taylor expansion of 0.5 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of 0.25 in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.325 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.325 * [taylor]: Taking taylor expansion of 0.125 in x 0.325 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.329 * [taylor]: Taking taylor expansion of 0.0625 in x 0.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.330 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.330 * [taylor]: Taking taylor expansion of (* x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.331 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.331 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.331 * [taylor]: Taking taylor expansion of 0.5 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.331 * [taylor]: Taking taylor expansion of (* x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.333 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.333 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.333 * [taylor]: Taking taylor expansion of 0.5 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.333 * [taylor]: Taking taylor expansion of (* x y) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.338 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of 4.0 in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.341 * [taylor]: Taking taylor expansion of 8.0 in x 0.341 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.345 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.345 * [taylor]: Taking taylor expansion of 16.0 in x 0.345 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.350 * [taylor]: Taking taylor expansion of 32.0 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.352 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.352 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.352 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.352 * [taylor]: Taking taylor expansion of 0.5 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.352 * [taylor]: Taking taylor expansion of (* x y) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.353 * [taylor]: Taking taylor expansion of -1 in y 0.353 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.353 * [taylor]: Taking taylor expansion of 0.5 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.353 * [taylor]: Taking taylor expansion of (* x y) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.355 * [taylor]: Taking taylor expansion of -1 in y 0.355 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.355 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.355 * [taylor]: Taking taylor expansion of 0.5 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.355 * [taylor]: Taking taylor expansion of (* x y) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.357 * [taylor]: Taking taylor expansion of -2.0 in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of 4.0 in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.363 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.363 * [taylor]: Taking taylor expansion of 8.0 in x 0.363 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.367 * [taylor]: Taking taylor expansion of 16.0 in x 0.367 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.372 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.372 * [taylor]: Taking taylor expansion of 32.0 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.374 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.374 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in y 0.374 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.374 * [taylor]: Taking taylor expansion of 0.5 in y 0.374 * [taylor]: Taking taylor expansion of (* x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.375 * [taylor]: Taking taylor expansion of 0.5 in x 0.375 * [taylor]: Taking taylor expansion of (* x y) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.376 * [taylor]: Taking taylor expansion of 0.5 in x 0.376 * [taylor]: Taking taylor expansion of (* x y) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in y 0.378 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.378 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.378 * [taylor]: Taking taylor expansion of 0.5 in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of 0.25 in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 3))) in y 0.384 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 3)) in y 0.384 * [taylor]: Taking taylor expansion of 0.125 in y 0.384 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 4)) in y 0.388 * [taylor]: Taking taylor expansion of 0.0625 in y 0.388 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.389 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.389 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.389 * [taylor]: Taking taylor expansion of 0.5 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.389 * [taylor]: Taking taylor expansion of (* x y) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.391 * [taylor]: Taking taylor expansion of 2.0 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of 4.0 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 0.395 * [taylor]: Taking taylor expansion of 8.0 in y 0.395 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 4))) in y 0.399 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 0.399 * [taylor]: Taking taylor expansion of 16.0 in y 0.399 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 0.406 * [taylor]: Taking taylor expansion of 32.0 in y 0.406 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.408 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.408 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.408 * [taylor]: Taking taylor expansion of 0.5 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.408 * [taylor]: Taking taylor expansion of (* x y) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.408 * [taylor]: Taking taylor expansion of 0.5 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.408 * [taylor]: Taking taylor expansion of (* x y) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.409 * [taylor]: Taking taylor expansion of 0.5 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.409 * [taylor]: Taking taylor expansion of (* x y) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.409 * [taylor]: Taking taylor expansion of 2.0 in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of 4.0 in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 0.414 * [taylor]: Taking taylor expansion of 8.0 in y 0.414 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 4))) in y 0.418 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 0.418 * [taylor]: Taking taylor expansion of 16.0 in y 0.418 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 0.423 * [taylor]: Taking taylor expansion of 32.0 in y 0.423 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2 2) 0.424 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.424 * [taylor]: Taking taylor expansion of 0.5 in y 0.424 * [taylor]: Taking taylor expansion of (* x y) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.424 * [taylor]: Taking taylor expansion of (* x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.424 * [taylor]: Taking taylor expansion of (* x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.425 * [taylor]: Taking taylor expansion of 0.5 in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.431 * [taylor]: Taking taylor expansion of 0.5 in y 0.431 * [taylor]: Taking taylor expansion of (* x y) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.432 * [taylor]: Taking taylor expansion of 0.5 in x 0.432 * [taylor]: Taking taylor expansion of (* x y) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.432 * [taylor]: Taking taylor expansion of 0.5 in x 0.432 * [taylor]: Taking taylor expansion of (* x y) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.433 * [taylor]: Taking taylor expansion of 0.5 in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.437 * [taylor]: Taking taylor expansion of 0.5 in y 0.437 * [taylor]: Taking taylor expansion of (* x y) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (* x y) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (* x y) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.438 * [taylor]: Taking taylor expansion of 0.5 in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.443 * * * [progress]: simplifying candidates 0.445 * [simplify]: Simplifying using # : (expm1 (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (log1p (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (+ (log y) (- (log (+ 1.0 (/ (* x y) 2.0))))) (+ (log y) (- 0 (log (+ 1.0 (/ (* x y) 2.0))))) (+ (log y) (- (log 1) (log (+ 1.0 (/ (* x y) 2.0))))) (+ (log y) (log (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (log (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (exp (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))))) (* (* (* y y) y) (* (* (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (* (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (sqrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (sqrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (/ (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (/ (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* y (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))))) (* y (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))) (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (sqrt 1) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))) (* y (/ (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* y (/ (sqrt 1) 1)) (* y (/ (sqrt 1) 1)) (* y (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))) (* y (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* y (/ 1 1)) (* y (/ 1 1)) (* y 1) (* y 1) (* y (/ 1 (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))) (* y (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (* (cbrt y) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* (sqrt y) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* y 1) (expm1 (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- 1) (- (log (+ 1.0 (/ (* x y) 2.0)))) (- 0 (log (+ 1.0 (/ (* x y) 2.0)))) (- (log 1) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (exp (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- 1) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt 1)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt 1)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ 1 (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 0.25 (* (pow x 2) (pow y 2))) 1.0) (* 0.5 (* x y))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 3)))) (* 2.0 (/ 1 (* x y)))) (* 4.0 (/ 1 (* (pow x 2) (pow y 2))))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 3)))) (* 2.0 (/ 1 (* x y)))) (* 4.0 (/ 1 (* (pow x 2) (pow y 2))))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.451 * * [simplify]: iteration 0 : 453 enodes (cost 714 ) 0.460 * * [simplify]: iteration 1 : 2279 enodes (cost 628 ) 0.497 * * [simplify]: iteration 2 : 5001 enodes (cost 579 ) 0.501 * [simplify]: Simplified to: (expm1 (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (log1p (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ y (fma (/ x 2.0) y 1.0)) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (exp (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (sqrt (* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (sqrt y) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (pow y 1/2) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (pow y 1/2) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (pow y 1/2) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (pow y 1/2) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* y (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))))) (* y (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y y y (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) (/ y (fma (/ x 2.0) y 1.0)) y (expm1 (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- 1) (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (exp (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3)) (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3)) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- 1) (- (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (fma (/ x 2.0) y 1.0) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 1 (fma (/ x 2.0) y 1.0) (fma (/ x 2.0) y 1.0) (fma (/ x 2.0) y 1.0) (/ 1 (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ (/ 2.0 x) y) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (fma (* 0.25 (pow x 2)) (pow y 2) (- 1.0 (* 0.5 (* x y)))) (fma (- 4.0) (/ 1 (* (pow x 2) (pow y 2))) (fma 8.0 (/ 1 (pow (* x y) 3)) (/ (/ 2.0 x) y))) (fma (- 4.0) (/ 1 (* (pow x 2) (pow y 2))) (fma 8.0 (/ 1 (pow (* x y) 3)) (/ (/ 2.0 x) y))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.502 * * * [progress]: adding candidates to table 0.691 * * [progress]: iteration 3 / 4 0.691 * * * [progress]: picking best candidate 0.694 * * * * [pick]: Picked # 0.694 * * * [progress]: localizing error 0.702 * * * [progress]: generating rewritten candidates 0.702 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.709 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1 2) 0.713 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.728 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.728 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.728 * [taylor]: Taking taylor expansion of 0.5 in y 0.728 * [taylor]: Taking taylor expansion of (* x y) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 1.0 in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.729 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [taylor]: Taking taylor expansion of (* x y) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.730 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.730 * [taylor]: Taking taylor expansion of (* x y) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of 0.5 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.739 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.739 * [taylor]: Taking taylor expansion of 0.5 in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.739 * [taylor]: Taking taylor expansion of (* x y) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 1.0 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.739 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.739 * [taylor]: Taking taylor expansion of 0.5 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.739 * [taylor]: Taking taylor expansion of (* x y) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.740 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.740 * [taylor]: Taking taylor expansion of 0.5 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.740 * [taylor]: Taking taylor expansion of (* x y) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of 0.5 in y 0.741 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.741 * [taylor]: Taking taylor expansion of 1.0 in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.755 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.755 * [taylor]: Taking taylor expansion of -1 in y 0.755 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.755 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.755 * [taylor]: Taking taylor expansion of 0.5 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.755 * [taylor]: Taking taylor expansion of (* x y) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of 1.0 in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.756 * [taylor]: Taking taylor expansion of 0.5 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.756 * [taylor]: Taking taylor expansion of (* x y) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.756 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.756 * [taylor]: Taking taylor expansion of 0.5 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.756 * [taylor]: Taking taylor expansion of (* x y) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of -0.5 in y 0.758 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.759 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.759 * [taylor]: Taking taylor expansion of 1.0 in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.780 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1 2) 0.780 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.780 * [taylor]: Taking taylor expansion of 0.5 in y 0.780 * [taylor]: Taking taylor expansion of (* x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.780 * [taylor]: Taking taylor expansion of 0.5 in x 0.780 * [taylor]: Taking taylor expansion of (* x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.780 * [taylor]: Taking taylor expansion of 0.5 in x 0.780 * [taylor]: Taking taylor expansion of (* x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.781 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.781 * [taylor]: Taking taylor expansion of 0.5 in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.787 * [taylor]: Taking taylor expansion of 0.5 in y 0.787 * [taylor]: Taking taylor expansion of (* x y) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.787 * [taylor]: Taking taylor expansion of 0.5 in x 0.787 * [taylor]: Taking taylor expansion of (* x y) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.788 * [taylor]: Taking taylor expansion of 0.5 in x 0.788 * [taylor]: Taking taylor expansion of (* x y) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.788 * [taylor]: Taking taylor expansion of 0.5 in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.793 * [taylor]: Taking taylor expansion of 0.5 in y 0.793 * [taylor]: Taking taylor expansion of (* x y) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.793 * [taylor]: Taking taylor expansion of 0.5 in x 0.793 * [taylor]: Taking taylor expansion of (* x y) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.794 * [taylor]: Taking taylor expansion of 0.5 in x 0.794 * [taylor]: Taking taylor expansion of (* x y) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.794 * [taylor]: Taking taylor expansion of 0.5 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.799 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.799 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.799 * [taylor]: Taking taylor expansion of 0.5 in y 0.799 * [taylor]: Taking taylor expansion of (* x y) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of 1.0 in y 0.800 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.800 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.800 * [taylor]: Taking taylor expansion of 0.5 in x 0.800 * [taylor]: Taking taylor expansion of (* x y) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.800 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.800 * [taylor]: Taking taylor expansion of 0.5 in x 0.800 * [taylor]: Taking taylor expansion of (* x y) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.801 * [taylor]: Taking taylor expansion of 1.0 in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 0.803 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of 0.5 in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.805 * [taylor]: Taking taylor expansion of 0.25 in y 0.805 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 0.810 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.810 * [taylor]: Taking taylor expansion of 0.125 in y 0.810 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.815 * [taylor]: Taking taylor expansion of 0.0625 in y 0.815 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.817 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.817 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.817 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.817 * [taylor]: Taking taylor expansion of 0.5 in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.817 * [taylor]: Taking taylor expansion of (* x y) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of 1.0 in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.818 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.818 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.819 * [taylor]: Taking taylor expansion of 0.5 in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.819 * [taylor]: Taking taylor expansion of (* x y) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.819 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.819 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.819 * [taylor]: Taking taylor expansion of 0.5 in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.819 * [taylor]: Taking taylor expansion of (* x y) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of 2.0 in y 0.821 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.821 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.821 * [taylor]: Taking taylor expansion of 4.0 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of 8.0 in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 0.829 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.829 * [taylor]: Taking taylor expansion of 16.0 in y 0.829 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.834 * [taylor]: Taking taylor expansion of 32.0 in y 0.834 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.835 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.835 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.835 * [taylor]: Taking taylor expansion of -1 in y 0.836 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.836 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.836 * [taylor]: Taking taylor expansion of 0.5 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.836 * [taylor]: Taking taylor expansion of (* x y) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 1.0 in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.837 * [taylor]: Taking taylor expansion of -1 in x 0.837 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.837 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.838 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.838 * [taylor]: Taking taylor expansion of (* x y) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.838 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.838 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.838 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.838 * [taylor]: Taking taylor expansion of (* x y) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of -2.0 in y 0.841 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.841 * [taylor]: Taking taylor expansion of 4.0 in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 0.844 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of 8.0 in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.848 * [taylor]: Taking taylor expansion of 16.0 in y 0.848 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 0.856 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.856 * [taylor]: Taking taylor expansion of 32.0 in y 0.856 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.857 * * * [progress]: simplifying candidates 0.860 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log1p (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* y (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (* y (- 1.0 (/ (* x y) 2.0))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (expm1 (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log1p (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 0 (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- 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(/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (cbrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (sqrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.868 * * [simplify]: iteration 0 : 545 enodes (cost 1294 ) 0.879 * * [simplify]: iteration 1 : 2678 enodes (cost 1161 ) 0.917 * * [simplify]: iteration 2 : 5002 enodes (cost 1057 ) 0.923 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log1p (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ 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2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (sqrt y) 1 (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (fma (/ x 2.0) y 1.0)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (fma (/ x 2.0) y 1.0)) (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) 0.924 * * * [progress]: adding candidates to table 1.144 * * [progress]: iteration 4 / 4 1.144 * * * [progress]: picking best candidate 1.146 * * * * [pick]: Picked # 1.146 * * * [progress]: localizing error 1.154 * * * [progress]: generating rewritten candidates 1.154 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.159 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 1.163 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2) 1.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.190 * * * [progress]: generating series expansions 1.190 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.191 * [approximate]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in (y x) around 0 1.191 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in x 1.191 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in x 1.191 * [taylor]: Taking taylor expansion of (* x y) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.191 * [taylor]: Taking taylor expansion of 2.0 in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 1.194 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 1.194 * [taylor]: Taking taylor expansion of (* x y) in y 1.194 * [taylor]: Taking taylor expansion of x in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.194 * [taylor]: Taking taylor expansion of 2.0 in y 1.196 * [taylor]: Taking taylor expansion of 1.0 in y 1.197 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 1.197 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 1.197 * [taylor]: Taking taylor expansion of (* x y) in y 1.197 * [taylor]: Taking taylor expansion of x in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.197 * [taylor]: Taking taylor expansion of 2.0 in y 1.199 * [taylor]: Taking taylor expansion of 1.0 in y 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ x (pow (sqrt 2.0) 2)))) in x 1.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (pow (sqrt 2.0) 2))) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (/ x (pow (sqrt 2.0) 2)) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.201 * [taylor]: Taking taylor expansion of 2.0 in x 1.212 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow x 2) (pow (sqrt 2.0) 4))) in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (sqrt 2.0) 4)) in x 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in x 1.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.212 * [taylor]: Taking taylor expansion of 2.0 in x 1.227 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (pow x 3) (pow (sqrt 2.0) 6)))) in x 1.227 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow x 3) (pow (sqrt 2.0) 6))) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 2.0) 6)) in x 1.227 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 6) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.227 * [taylor]: Taking taylor expansion of 2.0 in x 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow x 4) (pow (sqrt 2.0) 8))) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 2.0) 8)) in x 1.243 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 8) in x 1.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.243 * [taylor]: Taking taylor expansion of 2.0 in x 1.255 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in (y x) around 0 1.255 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in x 1.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in x 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.255 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.255 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.255 * [taylor]: Taking taylor expansion of 2.0 in x 1.256 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in y 1.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in y 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.263 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.263 * [taylor]: Taking taylor expansion of x in y 1.263 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.263 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.263 * [taylor]: Taking taylor expansion of 2.0 in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.269 * [taylor]: Taking taylor expansion of 1.0 in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in y 1.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in y 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.276 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.276 * [taylor]: Taking taylor expansion of x in y 1.276 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.276 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.276 * [taylor]: Taking taylor expansion of 2.0 in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 1.0 in y 1.282 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 2.0) 2)) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.292 * [taylor]: Taking taylor expansion of 2.0 in x 1.304 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow x 2) (pow (sqrt 2.0) 4)))) in x 1.304 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 2) (pow (sqrt 2.0) 4))) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 2.0) 4)) in x 1.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.304 * [taylor]: Taking taylor expansion of 2.0 in x 1.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 3) (pow (sqrt 2.0) 6))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 2.0) 6)) in x 1.317 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 6) in x 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.317 * [taylor]: Taking taylor expansion of 2.0 in x 1.339 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow x 4) (pow (sqrt 2.0) 8)))) in x 1.339 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 4) (pow (sqrt 2.0) 8))) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 2.0) 8)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 8) in x 1.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.340 * [taylor]: Taking taylor expansion of 2.0 in x 1.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 5) (pow (sqrt 2.0) 10))) in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.360 * [taylor]: Taking taylor expansion of (* (pow x 5) (pow (sqrt 2.0) 10)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 10) in x 1.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.360 * [taylor]: Taking taylor expansion of 2.0 in x 1.375 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in (y x) around 0 1.375 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in x 1.375 * [taylor]: Taking taylor expansion of -1 in x 1.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in x 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.375 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.375 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.375 * [taylor]: Taking taylor expansion of 2.0 in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of y in x 1.383 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in y 1.383 * [taylor]: Taking taylor expansion of -1 in y 1.383 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in y 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.383 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.383 * [taylor]: Taking taylor expansion of x in y 1.383 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.383 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.383 * [taylor]: Taking taylor expansion of 2.0 in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of 1.0 in y 1.389 * [taylor]: Taking taylor expansion of y in y 1.395 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y)) in y 1.395 * [taylor]: Taking taylor expansion of -1 in y 1.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) y) in y 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) 1.0) in y 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.396 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.396 * [taylor]: Taking taylor expansion of x in y 1.396 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.396 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.396 * [taylor]: Taking taylor expansion of 2.0 in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of 1.0 in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.408 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 2.0) 2))) in x 1.408 * [taylor]: Taking taylor expansion of -1 in x 1.408 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 2.0) 2)) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.408 * [taylor]: Taking taylor expansion of 2.0 in x 1.423 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 2) (pow (sqrt 2.0) 4))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 2.0) 4)) in x 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) 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 1.437 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow x 3) (pow (sqrt 2.0) 6)))) in x 1.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 3) (pow (sqrt 2.0) 6))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 2.0) 6)) in x 1.437 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 6) in x 1.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.437 * [taylor]: Taking taylor expansion of 2.0 in x 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 4) (pow (sqrt 2.0) 8))) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 2.0) 8)) in x 1.462 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 8) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.462 * [taylor]: Taking taylor expansion of 2.0 in x 1.483 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow x 5) (pow (sqrt 2.0) 10)))) in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow x 5) (pow (sqrt 2.0) 10))) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (* (pow x 5) (pow (sqrt 2.0) 10)) in x 1.483 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 10) in x 1.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.483 * [taylor]: Taking taylor expansion of 2.0 in x 1.497 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 1.497 * [approximate]: Taking taylor expansion of (/ x (sqrt 2.0)) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.497 * [taylor]: Taking taylor expansion of 2.0 in x 1.498 * [taylor]: Taking taylor expansion of (/ x (sqrt 2.0)) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.499 * [taylor]: Taking taylor expansion of 2.0 in x 1.509 * [approximate]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in x 1.509 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.509 * [taylor]: Taking taylor expansion of 2.0 in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 2.0))) in x 1.511 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.511 * [taylor]: Taking taylor expansion of 2.0 in x 1.529 * [approximate]: Taking taylor expansion of (/ -1 (* x (sqrt 2.0))) in (x) around 0 1.529 * [taylor]: Taking taylor expansion of (/ -1 (* x (sqrt 2.0))) in x 1.529 * [taylor]: Taking taylor expansion of -1 in x 1.529 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.529 * [taylor]: Taking taylor expansion of 2.0 in x 1.531 * [taylor]: Taking taylor expansion of (/ -1 (* x (sqrt 2.0))) in x 1.532 * [taylor]: Taking taylor expansion of -1 in x 1.532 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.532 * [taylor]: Taking taylor expansion of 2.0 in x 1.552 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2) 1.552 * [approximate]: Taking taylor expansion of (/ y (sqrt 2.0)) in (y) around 0 1.552 * [taylor]: Taking taylor expansion of (/ y (sqrt 2.0)) in y 1.552 * [taylor]: Taking taylor expansion of y 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 1.553 * [taylor]: Taking taylor expansion of (/ y (sqrt 2.0)) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.553 * [taylor]: Taking taylor expansion of 2.0 in y 1.564 * [approximate]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) y)) in (y) around 0 1.564 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) y)) in y 1.564 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.564 * [taylor]: Taking taylor expansion of 2.0 in y 1.564 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) y)) in y 1.567 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.567 * [taylor]: Taking taylor expansion of 2.0 in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.584 * [approximate]: Taking taylor expansion of (/ -1 (* (sqrt 2.0) y)) in (y) around 0 1.585 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt 2.0) y)) in y 1.585 * [taylor]: Taking taylor expansion of -1 in y 1.585 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.585 * [taylor]: Taking taylor expansion of 2.0 in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt 2.0) y)) in y 1.587 * [taylor]: Taking taylor expansion of -1 in y 1.587 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 1.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.587 * [taylor]: Taking taylor expansion of 2.0 in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.604 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 1.604 * [approximate]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in (x y) around 0 1.604 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 1.604 * [taylor]: Taking taylor expansion of (* x y) in y 1.604 * [taylor]: Taking taylor expansion of x in y 1.604 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.604 * [taylor]: Taking taylor expansion of 2.0 in y 1.607 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in x 1.607 * [taylor]: Taking taylor expansion of (* x y) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of y in x 1.607 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.607 * [taylor]: Taking taylor expansion of 2.0 in x 1.609 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in x 1.609 * [taylor]: Taking taylor expansion of (* x y) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.609 * [taylor]: Taking taylor expansion of 2.0 in x 1.611 * [taylor]: Taking taylor expansion of (/ y (pow (sqrt 2.0) 2)) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.612 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.612 * [taylor]: Taking taylor expansion of 2.0 in y 1.620 * [taylor]: Taking taylor expansion of 0 in y 1.625 * [taylor]: Taking taylor expansion of 0 in y 1.632 * [taylor]: Taking taylor expansion of 0 in y 1.634 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in (x y) around 0 1.634 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.634 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.634 * [taylor]: Taking taylor expansion of x in y 1.634 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.634 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.634 * [taylor]: Taking taylor expansion of 2.0 in y 1.635 * [taylor]: Taking taylor expansion of y in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.639 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.640 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.640 * [taylor]: Taking taylor expansion of 2.0 in x 1.640 * [taylor]: Taking taylor expansion of y in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.645 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.645 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.645 * [taylor]: Taking taylor expansion of 2.0 in x 1.645 * [taylor]: Taking taylor expansion of y in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) y)) in y 1.650 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.650 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.650 * [taylor]: Taking taylor expansion of 2.0 in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in (x y) around 0 1.682 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in y 1.682 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in y 1.682 * [taylor]: Taking taylor expansion of x in y 1.683 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.683 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.683 * [taylor]: Taking taylor expansion of 2.0 in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.688 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.688 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.688 * [taylor]: Taking taylor expansion of 2.0 in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (pow (sqrt 2.0) 2) y))) in x 1.693 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) y)) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in x 1.693 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.693 * [taylor]: Taking taylor expansion of 2.0 in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) y)) in y 1.698 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 1.698 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.698 * [taylor]: Taking taylor expansion of 2.0 in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of 0 in y 1.719 * [taylor]: Taking taylor expansion of 0 in y 1.729 * [taylor]: Taking taylor expansion of 0 in y 1.733 * * * [progress]: simplifying candidates 1.736 * [simplify]: Simplifying using # : (expm1 (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (log1p (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (- (log y) (log (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (log (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (exp (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (* (* y y) y) (* (* (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (* (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (* (* (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (sqrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (sqrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (- y) (- (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (/ (cbrt y) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (cbrt y) (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (/ (sqrt y) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (sqrt y) (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (sqrt y) (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ 1 (* (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (/ y (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ 1 (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ y (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ 1 1) (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (/ (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) y) (/ y (* (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (cbrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (/ y (sqrt (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ y 1) (/ (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (cbrt y)) (/ (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (sqrt y)) (/ (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) y) (/ y (+ (pow 1.0 3) (pow (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) 3))) (/ y (- (* 1.0 1.0) (* (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (expm1 (/ x (sqrt 2.0))) (log1p (/ x (sqrt 2.0))) (- (log x) (log (sqrt 2.0))) (log (/ x (sqrt 2.0))) (exp (/ x (sqrt 2.0))) (/ (* (* x x) x) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ x (sqrt 2.0))) (cbrt (/ x (sqrt 2.0)))) (cbrt (/ x (sqrt 2.0))) (* (* (/ x (sqrt 2.0)) (/ x (sqrt 2.0))) (/ x (sqrt 2.0))) (sqrt (/ x (sqrt 2.0))) (sqrt (/ x (sqrt 2.0))) (- x) (- (sqrt 2.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt x) (cbrt (sqrt 2.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt x) (sqrt (cbrt 2.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ (cbrt x) (sqrt (sqrt 2.0))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt 2.0)) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ (cbrt x) (sqrt (sqrt 2.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt 2.0)) (/ (sqrt x) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt x) (cbrt (sqrt 2.0))) (/ (sqrt x) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt x) (sqrt (cbrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt 2.0)) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ x (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ x (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ x (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ 1 1) (/ x (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) x) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ x (sqrt (sqrt 2.0))) (/ x (sqrt 1)) (/ x (sqrt (sqrt 2.0))) (/ x 1) (/ (sqrt 2.0) (cbrt x)) (/ (sqrt 2.0) (sqrt x)) (/ (sqrt 2.0) x) (expm1 (/ y (sqrt 2.0))) (log1p (/ y (sqrt 2.0))) (- (log y) (log (sqrt 2.0))) (log (/ y (sqrt 2.0))) (exp (/ y (sqrt 2.0))) (/ (* (* y y) y) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ y (sqrt 2.0))) (cbrt (/ y (sqrt 2.0)))) (cbrt (/ y (sqrt 2.0))) (* (* (/ y (sqrt 2.0)) (/ y (sqrt 2.0))) (/ y (sqrt 2.0))) (sqrt (/ y (sqrt 2.0))) (sqrt (/ y (sqrt 2.0))) (- y) (- (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt y) (cbrt (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt y) (sqrt (cbrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt 2.0))) (/ (cbrt y) (sqrt (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt 1)) (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt 2.0))) (/ (cbrt y) (sqrt (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (sqrt 2.0)) (/ (sqrt y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt y) (cbrt (sqrt 2.0))) (/ (sqrt y) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt y) (sqrt (cbrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt 1)) (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ y (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ y (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) (/ 1 1) (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) y) (/ y (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ y (sqrt (sqrt 2.0))) (/ y (sqrt 1)) (/ y (sqrt (sqrt 2.0))) (/ y 1) (/ (sqrt 2.0) (cbrt y)) (/ (sqrt 2.0) (sqrt y)) (/ (sqrt 2.0) y) (expm1 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (log1p (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (+ (- (log x) (log (sqrt 2.0))) (- (log y) (log (sqrt 2.0)))) (+ (- (log x) (log (sqrt 2.0))) (log (/ y (sqrt 2.0)))) (+ (log (/ x (sqrt 2.0))) (- (log y) (log (sqrt 2.0)))) (+ (log (/ x (sqrt 2.0))) (log (/ y (sqrt 2.0)))) (log (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (exp (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (* (/ (* (* x x) x) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* y y) y) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))) (* (/ (* (* x x) x) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (/ y (sqrt 2.0)) (/ y (sqrt 2.0))) (/ y (sqrt 2.0)))) (* (* (* (/ x (sqrt 2.0)) (/ x (sqrt 2.0))) (/ x (sqrt 2.0))) (/ (* (* y y) y) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))) (* (* (* (/ x (sqrt 2.0)) (/ x (sqrt 2.0))) (/ x (sqrt 2.0))) (* (* (/ y (sqrt 2.0)) (/ y (sqrt 2.0))) (/ y (sqrt 2.0)))) (* (cbrt (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (cbrt (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))) (cbrt (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (* (* (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (sqrt (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (sqrt (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))) (* x y) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt (/ x (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (sqrt (/ x (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (sqrt (/ x (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (sqrt (/ x (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (sqrt (/ x (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (sqrt (/ x (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt (/ y (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (* (cbrt (/ y (sqrt 2.0))) (cbrt (/ y (sqrt 2.0))))) (* (/ x (sqrt 2.0)) (sqrt (/ y (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 1))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (sqrt 2.0)) (/ (sqrt y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt 1))) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ (sqrt y) 1)) (* (/ x (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (/ x (sqrt 2.0)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ x (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ 1 (sqrt 1))) (* (/ x (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0)))) (* (/ x (sqrt 2.0)) (/ 1 1)) (* (/ x (sqrt 2.0)) 1) (* (/ x (sqrt 2.0)) y) (* (cbrt (/ x (sqrt 2.0))) (/ y (sqrt 2.0))) (* (sqrt (/ x (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (sqrt x) (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ 1 (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (sqrt 2.0)) y) (* x (/ y (sqrt 2.0))) (- (+ (* 1.0 y) (* 1.0 (/ (* (pow x 2) (pow y 3)) (pow (sqrt 2.0) 4)))) (* 1.0 (/ (* x (pow y 2)) (pow (sqrt 2.0) 2)))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (/ x (sqrt 2.0)) (/ x (sqrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ y (sqrt 2.0)) (/ y (sqrt 2.0)) (/ (* y x) (pow (sqrt 2.0) 2)) (/ (* y x) (pow (sqrt 2.0) 2)) (/ (* y x) (pow (sqrt 2.0) 2)) 1.745 * * [simplify]: iteration 0 : 626 enodes (cost 1462 ) 1.756 * * [simplify]: iteration 1 : 2914 enodes (cost 1357 ) 1.798 * * [simplify]: iteration 2 : 5001 enodes (cost 1290 ) 1.806 * [simplify]: Simplified to: (expm1 (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (log1p (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (log (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (log (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (exp (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (pow y 3) (pow (fma (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) 1.0) 3)) (* (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))) (cbrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (/ (pow y 3) (pow (fma (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) 1.0) 3)) (sqrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (sqrt (/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))) (- y) (- (- 1.0) (/ y (/ 2.0 x))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (* (/ 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(* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt x) (cbrt (sqrt 2.0))) (/ (cbrt x) (/ (fabs (cbrt 2.0)) (cbrt x))) (/ (cbrt x) (sqrt (cbrt 2.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ (cbrt x) (pow (sqrt 2.0) 1/2)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt 2.0)) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ (cbrt x) (pow (sqrt 2.0) 1/2)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt 2.0)) (/ (sqrt x) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt x) (cbrt (sqrt 2.0))) (/ (sqrt x) (fabs (cbrt 2.0))) (/ (sqrt x) (sqrt (cbrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt x) (/ (sqrt x) (sqrt 2.0)) (/ (sqrt x) (sqrt (sqrt 2.0))) (/ (sqrt x) (sqrt (sqrt 2.0))) (sqrt x) (/ (sqrt x) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ x (cbrt (sqrt 2.0))) (/ 1 (* (fabs (cbrt 2.0)) 1)) (/ x (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ x (sqrt (sqrt 2.0))) 1 (/ x (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ x (sqrt (sqrt 2.0))) 1 (/ x (sqrt 2.0)) (/ 1 (sqrt 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(cbrt y))) (sqrt 2.0)) (* (/ x (sqrt 2.0)) (/ (sqrt y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (/ x (sqrt 2.0)) (sqrt y)) (fabs (cbrt 2.0))) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt (sqrt 2.0)))) (/ (* x (sqrt y)) (sqrt 2.0)) (* (/ x (sqrt 2.0)) (/ (sqrt y) (sqrt (sqrt 2.0)))) (/ (* x (sqrt y)) (sqrt 2.0)) (/ (/ x (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ x (sqrt 2.0)) (fabs (cbrt 2.0))) (/ (/ x (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (sqrt 2.0)) (/ (/ x (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (sqrt 2.0)) (/ x (sqrt 2.0)) (* x (/ y (sqrt 2.0))) (* (cbrt (/ x (sqrt 2.0))) (/ y (sqrt 2.0))) (* (sqrt (/ x (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (cbrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (sqrt x) (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ (sqrt x) (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x (cbrt (sqrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt (cbrt 2.0))) (/ y (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (/ y (/ 2.0 x)) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))) (/ y (/ 2.0 x)) (/ y (/ 2.0 x)) (/ (/ y (sqrt 2.0)) (sqrt 2.0)) (* x (/ y (sqrt 2.0))) (* x (/ y (sqrt 2.0))) (fma 1.0 (- (* (/ (pow y 3) 2.0) (/ (pow x 2) 2.0)) (/ x (/ 2.0 (pow y 2)))) (* 1.0 y)) (fma (- 1.0) (* (/ 2.0 (pow x 2)) (/ 2.0 y)) (fma (/ 1.0 (pow x 3)) (/ (pow (sqrt 2.0) 6) (pow y 2)) (/ 2.0 x))) (fma (- 1.0) (* (/ 2.0 (pow x 2)) (/ 2.0 y)) (fma (/ 1.0 (pow x 3)) (/ (pow (sqrt 2.0) 6) (pow y 2)) (/ 2.0 x))) (/ x (sqrt 2.0)) (/ x (sqrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ y (sqrt 2.0)) (/ y (sqrt 2.0)) (/ y (/ 2.0 x)) (/ y (/ 2.0 x)) (/ y (/ 2.0 x)) 1.807 * * * [progress]: adding candidates to table 2.222 * [progress]: [Phase 3 of 3] Extracting. 2.222 * * [regime]: Finding splitpoints for: (# # #) 2.223 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.223 * * * * [regimes]: Trying to branch on y from (# # #) 2.235 * * * * [regimes]: Trying to branch on x from (# # #) 2.251 * * * [regime]: Found split indices: #