4.521 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.018 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.019 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.021 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.022 * * [simplify]: iteration 3 : 26 enodes (cost 5 ) 0.023 * * [simplify]: iteration 4 : 26 enodes (cost 5 ) 0.023 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.048 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.048 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of 0.5 in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of 0.5 in y 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.050 * [taylor]: Taking taylor expansion of 0.5 in y 0.050 * [taylor]: Taking taylor expansion of (* x y) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.052 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of 0.25 in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.058 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.058 * [taylor]: Taking taylor expansion of 0.125 in x 0.058 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.063 * [taylor]: Taking taylor expansion of 0.0625 in x 0.063 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.064 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.064 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.065 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.065 * [taylor]: Taking taylor expansion of (* x y) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.067 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.067 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.067 * [taylor]: Taking taylor expansion of (* x y) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.069 * [taylor]: Taking taylor expansion of 2.0 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of 4.0 in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.076 * [taylor]: Taking taylor expansion of 8.0 in x 0.076 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.080 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.080 * [taylor]: Taking taylor expansion of 16.0 in x 0.080 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.086 * [taylor]: Taking taylor expansion of 32.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.087 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.087 * [taylor]: Taking taylor expansion of -1 in x 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 1.0 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.090 * [taylor]: Taking taylor expansion of -1 in y 0.090 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.090 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.091 * [taylor]: Taking taylor expansion of (* x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.092 * [taylor]: Taking taylor expansion of -2.0 in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of 4.0 in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.099 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.099 * [taylor]: Taking taylor expansion of 8.0 in x 0.099 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.103 * [taylor]: Taking taylor expansion of 16.0 in x 0.103 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.109 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.109 * [taylor]: Taking taylor expansion of 32.0 in x 0.109 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.111 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.111 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of 0.5 in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 1.0 in y 0.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.111 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of 0.5 in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.111 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of 0.5 in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in y 0.113 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.113 * [taylor]: Taking taylor expansion of 0.5 in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.120 * [taylor]: Taking taylor expansion of 0.5 in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.120 * [taylor]: Taking taylor expansion of (* x y) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 1.0 in y 0.120 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.120 * [taylor]: Taking taylor expansion of 0.5 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of (* x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.121 * [taylor]: Taking taylor expansion of 0.5 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.121 * [taylor]: Taking taylor expansion of (* x y) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of 0.5 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.136 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.136 * [taylor]: Taking taylor expansion of 0.5 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.136 * [taylor]: Taking taylor expansion of (* x y) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 1.0 in y 0.136 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.136 * [taylor]: Taking taylor expansion of 0.5 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.137 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.137 * [taylor]: Taking taylor expansion of 0.5 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.137 * [taylor]: Taking taylor expansion of (* x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of 0.5 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 1.0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * * * [progress]: simplifying candidates 0.149 * [simplify]: Simplifying using # : (- (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)))) (* (exp 1.0) (exp (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (- (+ (* 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)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 0.154 * * [simplify]: iteration 0 : 233 enodes (cost 362 ) 0.158 * * [simplify]: iteration 1 : 849 enodes (cost 336 ) 0.177 * * [simplify]: iteration 2 : 4393 enodes (cost 331 ) 0.312 * * [simplify]: iteration 3 : 5001 enodes (cost 331 ) 0.315 * [simplify]: Simplified to: (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) (+ 1.0 (/ (* x y) 2.0))) (sqrt y) (/ (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 (/ 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)) (/ (+ 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)))) (exp (+ 1.0 (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (pow (+ 1.0 (/ (* x y) 2.0)) 3) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (+ (* y (- 1.0 (* 0.5 (* x y)))) (* 0.25 (* (pow x 2) (pow y 3)))) (- (/ 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)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 0.315 * * * [progress]: adding candidates to table 0.404 * * [progress]: iteration 2 / 4 0.404 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.427 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.436 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.444 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.444 * [taylor]: Taking taylor expansion of 0.5 in x 0.444 * [taylor]: Taking taylor expansion of (* x y) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.445 * [taylor]: Taking taylor expansion of 0.5 in y 0.445 * [taylor]: Taking taylor expansion of (* x y) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 1.0 in y 0.446 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.446 * [taylor]: Taking taylor expansion of 0.5 in y 0.446 * [taylor]: Taking taylor expansion of (* x y) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 1.0 in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.448 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.448 * [taylor]: Taking taylor expansion of 0.5 in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.451 * [taylor]: Taking taylor expansion of 0.25 in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.455 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.455 * [taylor]: Taking taylor expansion of 0.125 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.459 * [taylor]: Taking taylor expansion of 0.0625 in x 0.459 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.460 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.460 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.460 * [taylor]: Taking taylor expansion of 0.5 in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.460 * [taylor]: Taking taylor expansion of (* x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.461 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.461 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.461 * [taylor]: Taking taylor expansion of 0.5 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.461 * [taylor]: Taking taylor expansion of (* x y) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.463 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.463 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.463 * [taylor]: Taking taylor expansion of 0.5 in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.464 * [taylor]: Taking taylor expansion of (* x y) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 1.0 in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.465 * [taylor]: Taking taylor expansion of 2.0 in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.469 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of 4.0 in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.472 * [taylor]: Taking taylor expansion of 8.0 in x 0.472 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.477 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.477 * [taylor]: Taking taylor expansion of 16.0 in x 0.477 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.482 * [taylor]: Taking taylor expansion of 32.0 in x 0.482 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.484 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.484 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.484 * [taylor]: Taking taylor expansion of 0.5 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.484 * [taylor]: Taking taylor expansion of (* x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.485 * [taylor]: Taking taylor expansion of -1 in y 0.485 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.485 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.485 * [taylor]: Taking taylor expansion of 0.5 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.485 * [taylor]: Taking taylor expansion of (* x y) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 1.0 in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.487 * [taylor]: Taking taylor expansion of -1 in y 0.487 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.487 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.487 * [taylor]: Taking taylor expansion of 0.5 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.487 * [taylor]: Taking taylor expansion of (* x y) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 1.0 in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.489 * [taylor]: Taking taylor expansion of -2.0 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of 4.0 in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.496 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.496 * [taylor]: Taking taylor expansion of 8.0 in x 0.496 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.500 * [taylor]: Taking taylor expansion of 16.0 in x 0.500 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.505 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.505 * [taylor]: Taking taylor expansion of 32.0 in x 0.505 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.508 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.508 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in y 0.508 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.508 * [taylor]: Taking taylor expansion of 0.5 in y 0.508 * [taylor]: Taking taylor expansion of (* x y) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.509 * [taylor]: Taking taylor expansion of 0.5 in x 0.509 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.510 * [taylor]: Taking taylor expansion of 0.5 in x 0.510 * [taylor]: Taking taylor expansion of (* x y) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in y 0.511 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.511 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.511 * [taylor]: Taking taylor expansion of 0.5 in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of 0.25 in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 3))) in y 0.518 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 3)) in y 0.518 * [taylor]: Taking taylor expansion of 0.125 in y 0.518 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 4)) in y 0.525 * [taylor]: Taking taylor expansion of 0.0625 in y 0.525 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.527 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.527 * [taylor]: Taking taylor expansion of 0.5 in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.527 * [taylor]: Taking taylor expansion of (* x y) in y 0.527 * [taylor]: Taking taylor expansion of x in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 1.0 in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.527 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.527 * [taylor]: Taking taylor expansion of 0.5 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.527 * [taylor]: Taking taylor expansion of (* x y) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.528 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.528 * [taylor]: Taking taylor expansion of 0.5 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.528 * [taylor]: Taking taylor expansion of (* x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.528 * [taylor]: Taking taylor expansion of 2.0 in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.531 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of 4.0 in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 0.533 * [taylor]: Taking taylor expansion of 8.0 in y 0.533 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 4))) in y 0.537 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 0.537 * [taylor]: Taking taylor expansion of 16.0 in y 0.537 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 0.542 * [taylor]: Taking taylor expansion of 32.0 in y 0.542 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.544 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.544 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.544 * [taylor]: Taking taylor expansion of 0.5 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.544 * [taylor]: Taking taylor expansion of (* x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of 1.0 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.544 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.544 * [taylor]: Taking taylor expansion of 0.5 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.544 * [taylor]: Taking taylor expansion of (* x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.545 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.545 * [taylor]: Taking taylor expansion of 0.5 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.545 * [taylor]: Taking taylor expansion of (* x y) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.546 * [taylor]: Taking taylor expansion of 2.0 in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of 4.0 in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 0.550 * [taylor]: Taking taylor expansion of 8.0 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 4))) in y 0.554 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 0.554 * [taylor]: Taking taylor expansion of 16.0 in y 0.554 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 0.559 * [taylor]: Taking taylor expansion of 32.0 in y 0.559 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.561 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 0.561 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in (x y) around 0 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.561 * [taylor]: Taking taylor expansion of 0.5 in y 0.561 * [taylor]: Taking taylor expansion of (* x y) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of 1.0 in y 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (* x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (* x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in y 0.563 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.563 * [taylor]: Taking taylor expansion of 0.5 in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.570 * [taylor]: Taking taylor expansion of 0.5 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.570 * [taylor]: Taking taylor expansion of (* x y) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of 1.0 in y 0.570 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.571 * [taylor]: Taking taylor expansion of (* x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.571 * [taylor]: Taking taylor expansion of (* x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.572 * [taylor]: Taking taylor expansion of 0.5 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 1.0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.583 * [taylor]: Taking taylor expansion of 0.5 in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.583 * [taylor]: Taking taylor expansion of (* x y) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 1.0 in y 0.583 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.583 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.583 * [taylor]: Taking taylor expansion of (* x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.584 * [taylor]: Taking taylor expansion of 0.5 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.584 * [taylor]: Taking taylor expansion of (* x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.584 * [taylor]: Taking taylor expansion of 0.5 in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 1.0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.595 * * * [progress]: simplifying candidates 0.597 * [simplify]: Simplifying using # : (* 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) (- 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)))) (* (exp 1.0) (exp (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (- (+ (* 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)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 0.603 * * [simplify]: iteration 0 : 376 enodes (cost 687 ) 0.611 * * [simplify]: iteration 1 : 1712 enodes (cost 606 ) 0.643 * * [simplify]: iteration 2 : 5002 enodes (cost 560 ) 0.647 * [simplify]: Simplified to: (/ y (+ 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)))) (- (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))) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) y (- 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))) (+ 1.0 (/ (* x y) 2.0)) (/ 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 (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (/ 1 (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (exp (+ 1.0 (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (pow (+ 1.0 (/ (* x y) 2.0)) 3) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (- (+ (* 1.0 y) (* 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)))) (- (+ (* 0.25 (* (pow x 2) (pow y 2))) 1.0) (* 0.5 (* x y))) (- (/ (/ 2.0 y) x) (- (/ (/ 4.0 (pow y 2)) (pow x 2)) (/ (* 1 8.0) (pow (* x y) 3)))) (- (/ (/ 2.0 y) x) (- (/ (/ 4.0 (pow y 2)) (pow x 2)) (/ (* 1 8.0) (pow (* x y) 3)))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 0.648 * * * [progress]: adding candidates to table 0.781 * * [progress]: iteration 3 / 4 0.781 * * * [progress]: picking best candidate 0.783 * * * * [pick]: Picked # 0.783 * * * [progress]: localizing error 0.794 * * * [progress]: generating rewritten candidates 0.794 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.802 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.811 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.821 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.821 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.821 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.821 * [taylor]: Taking taylor expansion of 0.5 in y 0.821 * [taylor]: Taking taylor expansion of (* x y) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 1.0 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.823 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.823 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.823 * [taylor]: Taking taylor expansion of 0.5 in x 0.823 * [taylor]: Taking taylor expansion of (* x y) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.823 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.823 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.823 * [taylor]: Taking taylor expansion of 0.5 in x 0.823 * [taylor]: Taking taylor expansion of (* x y) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.824 * [taylor]: Taking taylor expansion of 1.0 in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of 0.5 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.833 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.833 * [taylor]: Taking taylor expansion of 0.5 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.833 * [taylor]: Taking taylor expansion of (* x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.833 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.833 * [taylor]: Taking taylor expansion of 0.5 in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.833 * [taylor]: Taking taylor expansion of (* x y) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.834 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.834 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.834 * [taylor]: Taking taylor expansion of 0.5 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.834 * [taylor]: Taking taylor expansion of (* x y) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 0.5 in y 0.836 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.836 * [taylor]: Taking taylor expansion of 1.0 in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.850 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.850 * [taylor]: Taking taylor expansion of -1 in y 0.850 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.850 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.850 * [taylor]: Taking taylor expansion of 0.5 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.850 * [taylor]: Taking taylor expansion of (* x y) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.850 * [taylor]: Taking taylor expansion of -1 in x 0.850 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.850 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.850 * [taylor]: Taking taylor expansion of 0.5 in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.850 * [taylor]: Taking taylor expansion of (* x y) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.851 * [taylor]: Taking taylor expansion of -1 in x 0.851 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.851 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.851 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.851 * [taylor]: Taking taylor expansion of 0.5 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.851 * [taylor]: Taking taylor expansion of (* x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of -0.5 in y 0.853 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.853 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.853 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [taylor]: Taking taylor expansion of 0 in y 0.872 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.872 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.872 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.872 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.872 * [taylor]: Taking taylor expansion of 0.5 in y 0.872 * [taylor]: Taking taylor expansion of (* x y) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 1.0 in y 0.873 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.873 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.873 * [taylor]: Taking taylor expansion of 0.5 in x 0.873 * [taylor]: Taking taylor expansion of (* x y) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.874 * [taylor]: Taking taylor expansion of 0.5 in x 0.874 * [taylor]: Taking taylor expansion of (* x y) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of 0.5 in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.883 * [taylor]: Taking taylor expansion of 0.25 in y 0.883 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 0.887 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.887 * [taylor]: Taking taylor expansion of 0.125 in y 0.887 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.893 * [taylor]: Taking taylor expansion of 0.0625 in y 0.893 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.894 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.894 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.894 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.894 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.894 * [taylor]: Taking taylor expansion of 0.5 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.894 * [taylor]: Taking taylor expansion of (* x y) in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of 1.0 in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.897 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.897 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.897 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.897 * [taylor]: Taking taylor expansion of 0.5 in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.897 * [taylor]: Taking taylor expansion of (* x y) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.898 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.898 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.898 * [taylor]: Taking taylor expansion of 0.5 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.898 * [taylor]: Taking taylor expansion of (* x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of 2.0 in y 0.900 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.900 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.900 * [taylor]: Taking taylor expansion of 4.0 in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of 8.0 in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 0.908 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.908 * [taylor]: Taking taylor expansion of 16.0 in y 0.908 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.913 * [taylor]: Taking taylor expansion of 32.0 in y 0.913 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.914 * [taylor]: Taking taylor expansion of -1 in y 0.914 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.914 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.915 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.915 * [taylor]: Taking taylor expansion of 0.5 in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.915 * [taylor]: Taking taylor expansion of (* x y) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 1.0 in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.917 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.917 * [taylor]: Taking taylor expansion of 0.5 in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.917 * [taylor]: Taking taylor expansion of (* x y) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.917 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.917 * [taylor]: Taking taylor expansion of 0.5 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.918 * [taylor]: Taking taylor expansion of (* x y) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of -2.0 in y 0.920 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.920 * [taylor]: Taking taylor expansion of 4.0 in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of 8.0 in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.928 * [taylor]: Taking taylor expansion of 16.0 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 0.933 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.933 * [taylor]: Taking taylor expansion of 32.0 in y 0.933 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.935 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1) 0.935 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in (x y) around 0 0.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.935 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.935 * [taylor]: Taking taylor expansion of 0.5 in y 0.935 * [taylor]: Taking taylor expansion of (* x y) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of 1.0 in y 0.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.935 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.935 * [taylor]: Taking taylor expansion of 0.5 in x 0.935 * [taylor]: Taking taylor expansion of (* x y) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.935 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.935 * [taylor]: Taking taylor expansion of 0.5 in x 0.935 * [taylor]: Taking taylor expansion of (* x y) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in y 0.937 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.937 * [taylor]: Taking taylor expansion of 0.5 in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.944 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.944 * [taylor]: Taking taylor expansion of 0.5 in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.944 * [taylor]: Taking taylor expansion of (* x y) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of 1.0 in y 0.944 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.944 * [taylor]: Taking taylor expansion of 0.5 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.944 * [taylor]: Taking taylor expansion of (* x y) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.945 * [taylor]: Taking taylor expansion of 0.5 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.945 * [taylor]: Taking taylor expansion of (* x y) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.945 * [taylor]: Taking taylor expansion of 0.5 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of 1.0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.956 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.957 * [taylor]: Taking taylor expansion of 0.5 in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.957 * [taylor]: Taking taylor expansion of (* x y) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 1.0 in y 0.957 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.957 * [taylor]: Taking taylor expansion of 0.5 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.957 * [taylor]: Taking taylor expansion of (* x y) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.957 * [taylor]: Taking taylor expansion of 0.5 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.958 * [taylor]: Taking taylor expansion of (* x y) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.958 * [taylor]: Taking taylor expansion of 0.5 in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of 1.0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.972 * * * [progress]: simplifying candidates 0.974 * [simplify]: Simplifying using # : (- (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))) (- 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))) (- 0 (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- (log 1) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log 1) (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) 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) 1) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 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)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (cbrt 1) (sqrt (/ (+ 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)))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (/ (* x y) 2.0))) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (sqrt (+ 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))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) (/ 1 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))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 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))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 1) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (/ 1 y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 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))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* 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))) (* (exp 1.0) (exp (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 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))) (- (+ (* 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)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 0.983 * * [simplify]: iteration 0 : 472 enodes (cost 1265 ) 0.993 * * [simplify]: iteration 1 : 2169 enodes (cost 1140 ) 1.027 * * [simplify]: iteration 2 : 5002 enodes (cost 1047 ) 1.034 * [simplify]: Simplified to: (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 (/ (* x y) 2.0)))) (/ (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))) (/ (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 (/ (+ 1.0 (/ (* 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 (/ (+ 1.0 (/ (* 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)) (/ 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))) (* (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) y) (* y (- 1.0 (/ (* x y) 2.0))) (- 1) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (/ (+ 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 (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))))) (/ (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)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) 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2.0) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 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))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) 1.035 * * * [progress]: adding candidates to table 1.201 * [progress]: [Phase 3 of 3] Extracting. 1.201 * * [regime]: Finding splitpoints for: (# #) 1.202 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.202 * * * * [regimes]: Trying to branch on y from (# #) 1.212 * * * * [regimes]: Trying to branch on x from (# #) 1.225 * * * [regime]: Found split indices: #