10.985 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.027 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.028 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.029 * * [simplify]: iteration 2 : 26 enodes (cost 5 ) 0.030 * * [simplify]: iteration 3 : 29 enodes (cost 5 ) 0.032 * * [simplify]: iteration 4 : 30 enodes (cost 5 ) 0.033 * * [simplify]: iteration 5 : 30 enodes (cost 5 ) 0.033 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.054 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.054 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.056 * [taylor]: Taking taylor expansion of (* x y) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.058 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of 0.25 in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.068 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.068 * [taylor]: Taking taylor expansion of 0.125 in x 0.068 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.072 * [taylor]: Taking taylor expansion of 0.0625 in x 0.072 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.073 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.073 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.073 * [taylor]: Taking taylor expansion of (* x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.074 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.074 * [taylor]: Taking taylor expansion of (* x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.076 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.076 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.076 * [taylor]: Taking taylor expansion of 0.5 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 1.0 in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.081 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of 4.0 in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.084 * [taylor]: Taking taylor expansion of 8.0 in x 0.084 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.088 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.088 * [taylor]: Taking taylor expansion of 16.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.094 * [taylor]: Taking taylor expansion of 32.0 in x 0.094 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.095 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.095 * [taylor]: Taking taylor expansion of 0.5 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.095 * [taylor]: Taking taylor expansion of (* x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.096 * [taylor]: Taking taylor expansion of -1 in y 0.096 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.096 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.096 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.096 * [taylor]: Taking taylor expansion of 0.5 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.096 * [taylor]: Taking taylor expansion of (* x y) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.098 * [taylor]: Taking taylor expansion of -1 in y 0.098 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of 0.5 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 1.0 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.100 * [taylor]: Taking taylor expansion of -2.0 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of 4.0 in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.107 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.107 * [taylor]: Taking taylor expansion of 8.0 in x 0.107 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.111 * [taylor]: Taking taylor expansion of 16.0 in x 0.111 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.116 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.116 * [taylor]: Taking taylor expansion of 32.0 in x 0.116 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 2) 0.118 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.118 * [taylor]: Taking taylor expansion of 0.5 in y 0.118 * [taylor]: Taking taylor expansion of (* x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of 0.5 in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of 0.5 in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.119 * [taylor]: Taking taylor expansion of 0.5 in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.126 * [taylor]: Taking taylor expansion of 0.5 in y 0.126 * [taylor]: Taking taylor expansion of (* x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [taylor]: Taking taylor expansion of (* x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.127 * [taylor]: Taking taylor expansion of 0.5 in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.131 * [taylor]: Taking taylor expansion of 0.5 in y 0.132 * [taylor]: Taking taylor expansion of (* x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.133 * [taylor]: Taking taylor expansion of 0.5 in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * [progress]: simplifying candidates 0.138 * [simplify]: Simplifying using # : (expm1 (/ y (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.143 * * [simplify]: iteration 0 : 306 enodes (cost 377 ) 0.148 * * [simplify]: iteration 1 : 1339 enodes (cost 349 ) 0.171 * * [simplify]: iteration 2 : 5001 enodes (cost 342 ) 0.173 * [simplify]: Simplified to: (expm1 (/ y (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (fma (/ x 2.0) y 1.0) (pow y 1/2)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.174 * * * [progress]: adding candidates to table 0.294 * * [progress]: iteration 2 / 4 0.294 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.340 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 2) 0.349 * * * [progress]: generating series expansions 0.349 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.349 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (* x y) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.350 * [taylor]: Taking taylor expansion of (* x y) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.351 * [taylor]: Taking taylor expansion of 0.5 in y 0.351 * [taylor]: Taking taylor expansion of (* x y) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1.0 in y 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.353 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.353 * [taylor]: Taking taylor expansion of 0.5 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of 0.25 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.359 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.359 * [taylor]: Taking taylor expansion of 0.125 in x 0.359 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.363 * [taylor]: Taking taylor expansion of 0.0625 in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.364 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.364 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.365 * [taylor]: Taking taylor expansion of 0.5 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.365 * [taylor]: Taking taylor expansion of (* x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.365 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.365 * [taylor]: Taking taylor expansion of 0.5 in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.365 * [taylor]: Taking taylor expansion of (* x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 1.0 in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.367 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.367 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.367 * [taylor]: Taking taylor expansion of 0.5 in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.367 * [taylor]: Taking taylor expansion of (* x y) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.369 * [taylor]: Taking taylor expansion of 2.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of 4.0 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.375 * [taylor]: Taking taylor expansion of 8.0 in x 0.375 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.380 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.380 * [taylor]: Taking taylor expansion of 16.0 in x 0.380 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.385 * [taylor]: Taking taylor expansion of 32.0 in x 0.385 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.387 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.387 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.387 * [taylor]: Taking taylor expansion of (* x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.388 * [taylor]: Taking taylor expansion of -1 in y 0.388 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.388 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.388 * [taylor]: Taking taylor expansion of 0.5 in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.388 * [taylor]: Taking taylor expansion of (* x y) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of 1.0 in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.390 * [taylor]: Taking taylor expansion of -1 in y 0.390 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.390 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.390 * [taylor]: Taking taylor expansion of 0.5 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.390 * [taylor]: Taking taylor expansion of (* x y) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.395 * [taylor]: Taking taylor expansion of -2.0 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of 4.0 in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.402 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.402 * [taylor]: Taking taylor expansion of 8.0 in x 0.402 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.406 * [taylor]: Taking taylor expansion of 16.0 in x 0.406 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.411 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.411 * [taylor]: Taking taylor expansion of 32.0 in x 0.411 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.413 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 2) 0.413 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.413 * [taylor]: Taking taylor expansion of 0.5 in y 0.413 * [taylor]: Taking taylor expansion of (* x y) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.414 * [taylor]: Taking taylor expansion of 0.5 in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.420 * [taylor]: Taking taylor expansion of 0.5 in y 0.420 * [taylor]: Taking taylor expansion of (* x y) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.421 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * [taylor]: Taking taylor expansion of (* x y) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.421 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * [taylor]: Taking taylor expansion of (* x y) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.421 * [taylor]: Taking taylor expansion of 0.5 in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.426 * [taylor]: Taking taylor expansion of 0.5 in y 0.426 * [taylor]: Taking taylor expansion of (* x y) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.426 * [taylor]: Taking taylor expansion of 0.5 in x 0.426 * [taylor]: Taking taylor expansion of (* x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.427 * [taylor]: Taking taylor expansion of 0.5 in x 0.427 * [taylor]: Taking taylor expansion of (* x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.427 * [taylor]: Taking taylor expansion of 0.5 in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * * * [progress]: simplifying candidates 0.434 * [simplify]: Simplifying using # : (expm1 (/ y (+ 1.0 (/ x (/ 2.0 y))))) (log1p (/ y (+ 1.0 (/ x (/ 2.0 y))))) (- (log y) (log (+ 1.0 (/ x (/ 2.0 y))))) (log (/ y (+ 1.0 (/ x (/ 2.0 y))))) (exp (/ y (+ 1.0 (/ x (/ 2.0 y))))) (/ (* (* y y) y) (* (* (+ 1.0 (/ x (/ 2.0 y))) (+ 1.0 (/ x (/ 2.0 y)))) (+ 1.0 (/ x (/ 2.0 y))))) (* (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y)))))) (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (* (* (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ y (+ 1.0 (/ x (/ 2.0 y))))) (/ y (+ 1.0 (/ x (/ 2.0 y))))) (sqrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (sqrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (- y) (- (+ 1.0 (/ x (/ 2.0 y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ (cbrt y) (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (cbrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ (sqrt y) (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (sqrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (sqrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ 1 (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ y (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ 1 (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ y (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ 1 1) (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ 1 1) (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ 1 (+ 1.0 (/ x (/ 2.0 y)))) (/ (+ 1.0 (/ x (/ 2.0 y))) y) (/ y (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ y (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ x (/ 2.0 y))) (cbrt y)) (/ (+ 1.0 (/ x (/ 2.0 y))) (sqrt y)) (/ (+ 1.0 (/ x (/ 2.0 y))) y) (/ y (+ (pow 1.0 3) (pow (/ x (/ 2.0 y)) 3))) (/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y))))) (expm1 (/ x (/ 2.0 y))) (log1p (/ x (/ 2.0 y))) (- (log x) (- (log 2.0) (log y))) (- (log x) (log (/ 2.0 y))) (log (/ x (/ 2.0 y))) (exp (/ x (/ 2.0 y))) (/ (* (* x x) x) (/ (* (* 2.0 2.0) 2.0) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ 2.0 y) (/ 2.0 y)) (/ 2.0 y))) (* (cbrt (/ x (/ 2.0 y))) (cbrt (/ x (/ 2.0 y)))) (cbrt (/ x (/ 2.0 y))) (* (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y))) (/ x (/ 2.0 y))) (sqrt (/ x (/ 2.0 y))) (sqrt (/ x (/ 2.0 y))) (- x) (- (/ 2.0 y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ (cbrt x) (cbrt (/ 2.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ 2.0 y))) (/ (cbrt x) (sqrt (/ 2.0 y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt 2.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ (cbrt x) (/ (cbrt 2.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (/ (cbrt x) (/ (cbrt 2.0) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt 2.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 2.0) (sqrt y))) (/ (cbrt x) (/ (sqrt 2.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 2.0) 1)) (/ (cbrt x) (/ (sqrt 2.0) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ 2.0 (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ 2.0 (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ 2.0 y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ 2.0 y)) (/ (* (cbrt x) (cbrt x)) 2.0) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ (sqrt x) (cbrt (/ 2.0 y))) (/ (sqrt x) (sqrt (/ 2.0 y))) (/ (sqrt x) (sqrt (/ 2.0 y))) (/ (sqrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt 2.0) (cbrt y))) (/ (sqrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ (sqrt x) (/ (cbrt 2.0) (sqrt y))) (/ (sqrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (/ (sqrt x) (/ (cbrt 2.0) y)) (/ (sqrt x) (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt 2.0) (cbrt y))) (/ (sqrt x) (/ (sqrt 2.0) (sqrt y))) (/ (sqrt x) (/ (sqrt 2.0) (sqrt y))) (/ (sqrt x) (/ (sqrt 2.0) 1)) (/ (sqrt x) (/ (sqrt 2.0) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ 2.0 (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ 2.0 (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ 2.0 y)) (/ (sqrt x) 1) (/ (sqrt x) (/ 2.0 y)) (/ (sqrt x) 2.0) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ x (cbrt (/ 2.0 y))) (/ 1 (sqrt (/ 2.0 y))) (/ x (sqrt (/ 2.0 y))) (/ 1 (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt 2.0) (cbrt y))) (/ 1 (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ x (/ (cbrt 2.0) (sqrt y))) (/ 1 (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (/ x (/ (cbrt 2.0) y)) (/ 1 (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt 2.0) (cbrt y))) (/ 1 (/ (sqrt 2.0) (sqrt y))) (/ x (/ (sqrt 2.0) (sqrt y))) (/ 1 (/ (sqrt 2.0) 1)) (/ x (/ (sqrt 2.0) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 2.0 (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ 2.0 (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ 2.0 y)) (/ 1 1) (/ x (/ 2.0 y)) (/ 1 2.0) (/ x (/ 1 y)) (/ 1 (/ 2.0 y)) (/ (/ 2.0 y) x) (/ x (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ x (sqrt (/ 2.0 y))) (/ x (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ x (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (/ x (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt 2.0) (sqrt y))) (/ x (/ (sqrt 2.0) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x 2.0) (/ (/ 2.0 y) (cbrt x)) (/ (/ 2.0 y) (sqrt x)) (/ (/ 2.0 y) x) (/ x 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)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.440 * * [simplify]: iteration 0 : 514 enodes (cost 743 ) 0.449 * * [simplify]: iteration 1 : 2332 enodes (cost 705 ) 0.488 * * [simplify]: iteration 2 : 5003 enodes (cost 699 ) 0.492 * [simplify]: Simplified to: (expm1 (/ y (+ 1.0 (/ x (/ 2.0 y))))) (log1p (/ y (+ 1.0 (/ x (/ 2.0 y))))) (log (/ y (+ 1.0 (/ x (/ 2.0 y))))) (log (/ y (+ 1.0 (/ x (/ 2.0 y))))) (exp (/ y (+ 1.0 (/ x (/ 2.0 y))))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (* (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y)))))) (cbrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (sqrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (sqrt (/ y (+ 1.0 (/ x (/ 2.0 y))))) (- y) (- (+ 1.0 (/ x (/ 2.0 y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ (cbrt y) (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (cbrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ x (/ 2.0 y)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ (sqrt y) (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (sqrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ (sqrt y) (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (/ 1 (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ y (cbrt (+ 1.0 (/ x (/ 2.0 y))))) (/ 1 (sqrt (+ 1.0 (/ x (/ 2.0 y))))) (/ y (sqrt (+ 1.0 (/ x (/ 2.0 y))))) 1 (/ y (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) (/ 1 (+ 1.0 (/ x (/ 2.0 y)))) (/ (fma (/ x 2.0) y 1.0) y) (/ y (* (cbrt (+ 1.0 (/ x (/ 2.0 y)))) (cbrt (+ 1.0 (/ x (/ 2.0 y)))))) (/ y (sqrt (+ 1.0 (/ x (/ 2.0 y))))) y y (/ (+ 1.0 (/ x (/ 2.0 y))) (cbrt y)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (/ (fma (/ x 2.0) y 1.0) y) (/ y (+ (pow 1.0 3) (pow (/ x (/ 2.0 y)) 3))) (/ (/ y (fma (/ x 2.0) y 1.0)) (- 1.0 (/ x (/ 2.0 y)))) (expm1 (/ x (/ 2.0 y))) (log1p (/ x (/ 2.0 y))) (log (/ x (/ 2.0 y))) (log (/ x (/ 2.0 y))) (log (/ x (/ 2.0 y))) (exp (/ x (/ 2.0 y))) (pow (/ x (/ 2.0 y)) 3) (pow (/ x (/ 2.0 y)) 3) (* (cbrt (/ x (/ 2.0 y))) (cbrt (/ x (/ 2.0 y)))) (cbrt (/ x (/ 2.0 y))) (pow (/ x (/ 2.0 y)) 3) (sqrt (/ x (/ 2.0 y))) (sqrt (/ x (/ 2.0 y))) (- x) (- (/ 2.0 y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ (cbrt x) (cbrt (/ 2.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ 2.0 y))) (/ (cbrt x) (sqrt (/ 2.0 y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt 2.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ (cbrt x) (/ (cbrt 2.0) (sqrt y))) (/ (cbrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) (cbrt x))) (/ (cbrt x) (/ (cbrt 2.0) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt 2.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 2.0) (sqrt y))) (/ (cbrt x) (/ (sqrt 2.0) (sqrt y))) (/ (cbrt x) (/ (sqrt 2.0) (cbrt x))) (/ (cbrt x) (/ (sqrt 2.0) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ 2.0 (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ 2.0 (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ 2.0 y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ 2.0 y)) (/ (* (cbrt x) (cbrt x)) 2.0) (* (cbrt x) y) (/ (sqrt x) (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ (sqrt x) (cbrt (/ 2.0 y))) (/ (sqrt x) (sqrt (/ 2.0 y))) (/ (sqrt x) (sqrt (/ 2.0 y))) (/ (sqrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt 2.0) (cbrt y))) (/ (sqrt x) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ (sqrt x) (/ (cbrt 2.0) (sqrt y))) (/ (sqrt x) (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt x) (/ (cbrt 2.0) y)) (/ (sqrt x) (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt 2.0) (cbrt y))) (/ (sqrt x) (/ (sqrt 2.0) (sqrt y))) (/ (sqrt x) (/ (sqrt 2.0) (sqrt y))) (/ (sqrt x) (sqrt 2.0)) (/ (sqrt x) (/ (sqrt 2.0) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ 2.0 (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ 2.0 (sqrt y))) (sqrt x) (/ (sqrt x) (/ 2.0 y)) (sqrt x) (/ (sqrt x) (/ 2.0 y)) (/ (sqrt x) 2.0) (* (sqrt x) y) (/ 1 (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ x (cbrt (/ 2.0 y))) (/ 1 (sqrt (/ 2.0 y))) (/ x (sqrt (/ 2.0 y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))) (/ x (/ (cbrt 2.0) (cbrt y))) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))) (/ x (/ (cbrt 2.0) (sqrt y))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ x (/ (cbrt 2.0) y)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)) (/ x (/ (sqrt 2.0) (cbrt y))) (/ (sqrt y) (sqrt 2.0)) (/ x (/ (sqrt 2.0) (sqrt y))) (/ 1 (sqrt 2.0)) (/ x (/ (sqrt 2.0) y)) (* (cbrt y) (cbrt y)) (/ x (/ 2.0 (cbrt y))) (sqrt y) (/ x (/ 2.0 (sqrt y))) 1 (/ x (/ 2.0 y)) 1 (/ x (/ 2.0 y)) (/ 1 2.0) (* x y) (/ 1 (/ 2.0 y)) (/ (/ 2.0 y) x) (/ x (* (cbrt (/ 2.0 y)) (cbrt (/ 2.0 y)))) (/ x (sqrt (/ 2.0 y))) (/ x (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt y))) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ x (/ (sqrt 2.0) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt 2.0) (sqrt y))) (/ x (sqrt 2.0)) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x x (/ x 2.0) (/ (/ 2.0 y) (cbrt x)) (/ (/ 2.0 y) (sqrt x)) (/ (/ 2.0 y) x) (/ x 2.0) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.492 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 3 / 4 0.744 * * * [progress]: picking best candidate 0.748 * * * * [pick]: Picked # 0.748 * * * [progress]: localizing error 0.759 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.773 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.784 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1 2) 0.793 * * * [progress]: generating series expansions 0.793 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.793 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.793 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.793 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.793 * [taylor]: Taking taylor expansion of 0.5 in y 0.793 * [taylor]: Taking taylor expansion of (* x y) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 1.0 in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.795 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.795 * [taylor]: Taking taylor expansion of 0.5 in x 0.795 * [taylor]: Taking taylor expansion of (* x y) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.795 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.795 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of (* x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.796 * [taylor]: Taking taylor expansion of 1.0 in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 0.5 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.805 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.805 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.805 * [taylor]: Taking taylor expansion of 0.5 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.805 * [taylor]: Taking taylor expansion of (* x y) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 1.0 in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.805 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.805 * [taylor]: Taking taylor expansion of 0.5 in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.805 * [taylor]: Taking taylor expansion of (* x y) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.806 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.806 * [taylor]: Taking taylor expansion of (* x y) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in y 0.807 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.807 * [taylor]: Taking taylor expansion of 1.0 in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.821 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.821 * [taylor]: Taking taylor expansion of 0.5 in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.822 * [taylor]: Taking taylor expansion of 1.0 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.822 * [taylor]: Taking taylor expansion of -1 in x 0.822 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.822 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.822 * [taylor]: Taking taylor expansion of 0.5 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.822 * [taylor]: Taking taylor expansion of (* x y) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.822 * [taylor]: Taking taylor expansion of -1 in x 0.822 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.822 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.822 * [taylor]: Taking taylor expansion of 0.5 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.822 * [taylor]: Taking taylor expansion of (* x y) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [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 in y 0.825 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.825 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.825 * [taylor]: Taking taylor expansion of 1.0 in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.847 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.847 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.847 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.847 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.847 * [taylor]: Taking taylor expansion of 0.5 in y 0.847 * [taylor]: Taking taylor expansion of (* x y) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 1.0 in y 0.848 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.848 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.848 * [taylor]: Taking taylor expansion of 0.5 in x 0.848 * [taylor]: Taking taylor expansion of (* x y) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.849 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.849 * [taylor]: Taking taylor expansion of 0.5 in x 0.849 * [taylor]: Taking taylor expansion of (* x y) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of 0.5 in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.854 * [taylor]: Taking taylor expansion of 0.25 in y 0.854 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 0.859 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.859 * [taylor]: Taking taylor expansion of 0.125 in y 0.859 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.864 * [taylor]: Taking taylor expansion of 0.0625 in y 0.864 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.866 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.866 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.866 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.866 * [taylor]: Taking taylor expansion of 0.5 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.866 * [taylor]: Taking taylor expansion of (* x y) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of 1.0 in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.868 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.868 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.868 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.868 * [taylor]: Taking taylor expansion of 0.5 in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.868 * [taylor]: Taking taylor expansion of (* x y) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.868 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.868 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.868 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.869 * [taylor]: Taking taylor expansion of 0.5 in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.869 * [taylor]: Taking taylor expansion of (* x y) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of 2.0 in y 0.871 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.871 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.871 * [taylor]: Taking taylor expansion of 4.0 in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of 8.0 in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 0.878 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.878 * [taylor]: Taking taylor expansion of 16.0 in y 0.878 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.884 * [taylor]: Taking taylor expansion of 32.0 in y 0.884 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.886 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.886 * [taylor]: Taking taylor expansion of -1 in y 0.886 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.886 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.886 * [taylor]: Taking taylor expansion of 0.5 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.886 * [taylor]: Taking taylor expansion of (* x y) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of 1.0 in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.888 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.888 * [taylor]: Taking taylor expansion of 0.5 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.888 * [taylor]: Taking taylor expansion of (* x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.889 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.889 * [taylor]: Taking taylor expansion of 0.5 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.889 * [taylor]: Taking taylor expansion of (* x y) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of -2.0 in y 0.891 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.891 * [taylor]: Taking taylor expansion of 4.0 in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 0.894 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of 8.0 in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.898 * [taylor]: Taking taylor expansion of 16.0 in y 0.899 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 0.904 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.904 * [taylor]: Taking taylor expansion of 32.0 in y 0.904 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.906 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1 2) 0.906 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.906 * [taylor]: Taking taylor expansion of 0.5 in y 0.906 * [taylor]: Taking taylor expansion of (* x y) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.906 * [taylor]: Taking taylor expansion of 0.5 in x 0.906 * [taylor]: Taking taylor expansion of (* x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.906 * [taylor]: Taking taylor expansion of 0.5 in x 0.906 * [taylor]: Taking taylor expansion of (* x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.907 * [taylor]: Taking taylor expansion of 0.5 in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.914 * [taylor]: Taking taylor expansion of 0.5 in y 0.914 * [taylor]: Taking taylor expansion of (* x y) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of (* x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of (* x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.915 * [taylor]: Taking taylor expansion of 0.5 in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.919 * [taylor]: Taking taylor expansion of 0.5 in y 0.919 * [taylor]: Taking taylor expansion of (* x y) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.920 * [taylor]: Taking taylor expansion of 0.5 in x 0.920 * [taylor]: Taking taylor expansion of (* x y) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.920 * [taylor]: Taking taylor expansion of 0.5 in x 0.920 * [taylor]: Taking taylor expansion of (* x y) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.921 * [taylor]: Taking taylor expansion of 0.5 in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.928 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log1p (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* y (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (* y (- 1.0 (/ (* x y) 2.0))) (expm1 (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log1p (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 0 (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- 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))) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (+ (* 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)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.938 * * [simplify]: iteration 0 : 545 enodes (cost 1294 ) 0.949 * * [simplify]: iteration 1 : 2678 enodes (cost 1161 ) 0.988 * * [simplify]: iteration 2 : 5001 enodes (cost 1051 ) 0.993 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log1p (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* 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)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) 1 (/ (fma (/ x 2.0) y 1.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) 1 (/ (fma (/ x 2.0) y 1.0) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (fma (/ x 2.0) y 1.0) (/ 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))) (* y (fma (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0) (* 1.0 1.0))) (* y (- 1.0 (/ (* x y) 2.0))) (expm1 (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log1p (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 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))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (pow y 1/2) (fma (/ x 2.0) y 1.0)) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (fma (/ x 2.0) y 1.0) y) (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (sqrt y) 1 (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y) (/ 1 (fma (/ x 2.0) y 1.0)) (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (fma y 1.0 (- (* 0.25 (* (pow x 2) (pow y 3))) (* 0.5 (* x (pow y 2))))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 8.0 (/ 1 (* (pow x 3) (pow y 2))) (/ 2.0 x))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.994 * * * [progress]: adding candidates to table 1.233 * * [progress]: iteration 4 / 4 1.233 * * * [progress]: picking best candidate 1.235 * * * * [pick]: Picked # 1.235 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.246 * * * [progress]: generating series expansions 1.246 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.246 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in (x y) around 0 1.246 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in y 1.246 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in y 1.246 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 1.246 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.246 * [taylor]: Taking taylor expansion of 0.5 in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.246 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.246 * [taylor]: Taking taylor expansion of 1.0 in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.248 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in x 1.248 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in x 1.248 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 1.248 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.248 * [taylor]: Taking taylor expansion of 0.5 in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (/ 1.0 y) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in x 1.248 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in x 1.248 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 1.248 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.248 * [taylor]: Taking taylor expansion of 0.5 in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (/ 1.0 y) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.249 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.249 * [taylor]: Taking taylor expansion of 1.0 in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.252 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 1.252 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 1.252 * [taylor]: Taking taylor expansion of 0.5 in y 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.253 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 1.253 * [taylor]: Taking taylor expansion of 0.25 in y 1.253 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 1.257 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 1.257 * [taylor]: Taking taylor expansion of 0.125 in y 1.257 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 1.260 * [taylor]: Taking taylor expansion of 0.0625 in y 1.260 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.260 * [taylor]: Taking taylor expansion of y in y 1.262 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in (x y) around 0 1.262 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in y 1.262 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in y 1.262 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 1.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 1.262 * [taylor]: Taking taylor expansion of 0.5 in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.262 * [taylor]: Taking taylor expansion of 1.0 in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in x 1.262 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in x 1.262 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 1.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of 0.5 in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in x 1.264 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in x 1.264 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 1.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of 0.5 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of 2.0 in y 1.266 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 1.266 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.266 * [taylor]: Taking taylor expansion of 4.0 in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.268 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.268 * [taylor]: Taking taylor expansion of 8.0 in y 1.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.268 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 1.272 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.272 * [taylor]: Taking taylor expansion of 16.0 in y 1.272 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.277 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.277 * [taylor]: Taking taylor expansion of 32.0 in y 1.277 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.278 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in (x y) around 0 1.278 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in y 1.278 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in y 1.278 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 1.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in y 1.278 * [taylor]: Taking taylor expansion of 0.5 in y 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.278 * [taylor]: Taking taylor expansion of -1 in y 1.278 * [taylor]: Taking taylor expansion of x in y 1.278 * [taylor]: Taking taylor expansion of (* -1.0 y) in y 1.278 * [taylor]: Taking taylor expansion of -1.0 in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in x 1.279 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in x 1.279 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 1.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of 0.5 in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (* -1.0 y) in x 1.279 * [taylor]: Taking taylor expansion of -1.0 in x 1.279 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in x 1.280 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in x 1.280 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 1.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in x 1.280 * [taylor]: Taking taylor expansion of 0.5 in x 1.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.280 * [taylor]: Taking taylor expansion of -1 in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (* -1.0 y) in x 1.281 * [taylor]: Taking taylor expansion of -1.0 in x 1.281 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of -2.0 in y 1.283 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.283 * [taylor]: Taking taylor expansion of 4.0 in y 1.283 * [taylor]: Taking taylor expansion of y in y 1.286 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of 8.0 in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.290 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.290 * [taylor]: Taking taylor expansion of 16.0 in y 1.290 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.290 * [taylor]: Taking taylor expansion of y in y 1.294 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 1.294 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.294 * [taylor]: Taking taylor expansion of 32.0 in y 1.294 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.296 * * * [progress]: simplifying candidates 1.297 * [simplify]: Simplifying using # : (expm1 (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (log1p (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (- 1) (- (log (fma 0.5 x (* 1.0 (/ 1 y))))) (- 0 (log (fma 0.5 x (* 1.0 (/ 1 y))))) (- (log 1) (log (fma 0.5 x (* 1.0 (/ 1 y))))) (log (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (exp (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (* (* 1 1) 1) (* (* (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y)))) (fma 0.5 x (* 1.0 (/ 1 y))))) (* (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))))) (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (* (* (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (sqrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (sqrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (- 1) (- (fma 0.5 x (* 1.0 (/ 1 y)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ (cbrt 1) (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (cbrt 1) (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (fma 0.5 x (* 1.0 (/ 1 y)))) (/ (sqrt 1) (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ (sqrt 1) (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (sqrt 1) (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (sqrt 1) (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ (sqrt 1) 1) (/ (sqrt 1) (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 1) (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ (fma 0.5 x (* 1.0 (/ 1 y))) 1) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 1) (/ (fma 0.5 x (* 1.0 (/ 1 y))) (cbrt 1)) (/ (fma 0.5 x (* 1.0 (/ 1 y))) (sqrt 1)) (/ (fma 0.5 x (* 1.0 (/ 1 y))) 1) (- (+ (* 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)))) 1.301 * * [simplify]: iteration 0 : 167 enodes (cost 269 ) 1.304 * * [simplify]: iteration 1 : 641 enodes (cost 242 ) 1.319 * * [simplify]: iteration 2 : 3405 enodes (cost 226 ) 1.402 * * [simplify]: iteration 3 : 5002 enodes (cost 225 ) 1.404 * [simplify]: Simplified to: (expm1 (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (log1p (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (- 1) (log (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (log (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (log (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (log (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (exp (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (pow (fma 0.5 x (* 1.0 (/ 1 y))) 3)) (* (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))))) (cbrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (pow (fma 0.5 x (* 1.0 (/ 1 y))) 3)) (sqrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (sqrt (/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))) (- 1) (- (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) 1 (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) 1 (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) 1 (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))) (fma 0.5 x (* 1.0 (/ 1 y))) (/ 1 (* (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))) (cbrt (fma 0.5 x (* 1.0 (/ 1 y)))))) (/ 1 (sqrt (fma 0.5 x (* 1.0 (/ 1 y))))) 1 (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (fma 0.5 x (* 1.0 (/ 1 y))) (fma (pow x 2) (* 0.25 (pow y 3)) (* y (- 1.0 (* (* 0.5 x) y)))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 2.0 (/ 1 x) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (fma (- 4.0) (/ 1 (* (pow x 2) y)) (fma 2.0 (/ 1 x) (/ (/ 8.0 (pow y 2)) (pow x 3)))) 1.404 * * * [progress]: adding candidates to table 1.465 * [progress]: [Phase 3 of 3] Extracting. 1.465 * * [regime]: Finding splitpoints for: (# #) 1.465 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.465 * * * * [regimes]: Trying to branch on y from (# #) 1.477 * * * * [regimes]: Trying to branch on x from (# #) 1.488 * * * [regime]: Found split indices: #