9.736 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.019 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.021 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.022 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.023 * * [simplify]: iteration 3 : 26 enodes (cost 5 ) 0.024 * * [simplify]: iteration 4 : 26 enodes (cost 5 ) 0.024 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.045 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.045 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.047 * [taylor]: Taking taylor expansion of (* x y) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (neg (* 0.5 x)) in x 0.049 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.049 * [taylor]: Taking taylor expansion of 0.5 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of 0.25 in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (neg (* 0.125 (pow x 3))) in x 0.055 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.055 * [taylor]: Taking taylor expansion of 0.125 in x 0.055 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.059 * [taylor]: Taking taylor expansion of 0.0625 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.061 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.061 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.062 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.062 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.062 * [taylor]: Taking taylor expansion of (* x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.064 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.064 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.064 * [taylor]: Taking taylor expansion of (* x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (neg (* 4.0 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of 4.0 in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.076 * [taylor]: Taking taylor expansion of 8.0 in x 0.076 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow x 4))) in x 0.081 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.081 * [taylor]: Taking taylor expansion of 16.0 in x 0.081 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.086 * [taylor]: Taking taylor expansion of 32.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.087 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.087 * [taylor]: Taking taylor expansion of -1 in x 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of 0.5 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.087 * [taylor]: Taking taylor expansion of (* x y) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.088 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 1.0 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.090 * [taylor]: Taking taylor expansion of -1 in y 0.090 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.090 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.090 * [taylor]: Taking taylor expansion of 0.5 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.090 * [taylor]: Taking taylor expansion of (* x y) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.092 * [taylor]: Taking taylor expansion of -2.0 in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of 4.0 in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (neg (* 8.0 (pow x 3))) in x 0.098 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.098 * [taylor]: Taking taylor expansion of 8.0 in x 0.098 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.102 * [taylor]: Taking taylor expansion of 16.0 in x 0.102 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (neg (* 32.0 (pow x 5))) in x 0.107 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.107 * [taylor]: Taking taylor expansion of 32.0 in x 0.107 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.109 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 2) 0.110 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.110 * [taylor]: Taking taylor expansion of 0.5 in y 0.110 * [taylor]: Taking taylor expansion of (* x y) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.110 * [taylor]: Taking taylor expansion of 0.5 in x 0.110 * [taylor]: Taking taylor expansion of (* x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.110 * [taylor]: Taking taylor expansion of 0.5 in x 0.110 * [taylor]: Taking taylor expansion of (* x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.111 * [taylor]: Taking taylor expansion of 0.5 in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.117 * [taylor]: Taking taylor expansion of 0.5 in y 0.117 * [taylor]: Taking taylor expansion of (* x y) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of 0.5 in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [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 0.118 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.118 * [taylor]: Taking taylor expansion of 0.5 in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.123 * [taylor]: Taking taylor expansion of 0.5 in y 0.123 * [taylor]: Taking taylor expansion of (* x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of 0.5 in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of 0.5 in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.124 * [taylor]: Taking taylor expansion of 0.5 in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.129 * * * [progress]: simplifying candidates 0.129 * [simplify]: Simplifying using # : (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg y) (neg (+ 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)))) (- (+ (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)) (neg (* x y)) (neg 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)) 0.134 * * [simplify]: iteration 0 : 299 enodes (cost 361 ) 0.140 * * [simplify]: iteration 1 : 1304 enodes (cost 334 ) 0.162 * * [simplify]: iteration 2 : 5002 enodes (cost 330 ) 0.164 * [simplify]: Simplified to: (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg y) (neg (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (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)) (neg (* x y)) (neg 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) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.164 * * * [progress]: adding candidates to table 0.254 * * [progress]: iteration 2 / 4 0.254 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.267 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.274 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.283 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1 2) 0.293 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.293 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.293 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.293 * [taylor]: Taking taylor expansion of 0.5 in y 0.293 * [taylor]: Taking taylor expansion of (* x y) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.294 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.294 * [taylor]: Taking taylor expansion of 0.5 in x 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.295 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of 0.5 in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.296 * [taylor]: Taking taylor expansion of 1.0 in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of 0.5 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.308 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.308 * [taylor]: Taking taylor expansion of 0.5 in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.308 * [taylor]: Taking taylor expansion of (* x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 1.0 in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.308 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.309 * [taylor]: Taking taylor expansion of 0.5 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.309 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.309 * [taylor]: Taking taylor expansion of 0.5 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 0.5 in y 0.311 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.324 * [taylor]: Taking taylor expansion of -1 in y 0.324 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.324 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.324 * [taylor]: Taking taylor expansion of 0.5 in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.325 * [taylor]: Taking taylor expansion of (* x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.325 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.325 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.326 * [taylor]: Taking taylor expansion of 0.5 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of -0.5 in y 0.328 * [taylor]: Taking taylor expansion of (neg (* 1.0 y)) in y 0.328 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.346 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.346 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of (* x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.347 * [taylor]: Taking taylor expansion of (* x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [taylor]: Taking taylor expansion of (* x y) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (neg (* 0.5 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.353 * [taylor]: Taking taylor expansion of 0.25 in y 0.353 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (neg (* 0.125 (pow y 4))) in y 0.357 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.357 * [taylor]: Taking taylor expansion of 0.125 in y 0.357 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.362 * [taylor]: Taking taylor expansion of 0.0625 in y 0.362 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.364 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.364 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.364 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.364 * [taylor]: Taking taylor expansion of 0.5 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.364 * [taylor]: Taking taylor expansion of (* x y) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 1.0 in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.366 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.366 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.366 * [taylor]: Taking taylor expansion of 0.5 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.366 * [taylor]: Taking taylor expansion of (* x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.367 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.367 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.367 * [taylor]: Taking taylor expansion of 0.5 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.367 * [taylor]: Taking taylor expansion of (* x y) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 2.0 in y 0.369 * [taylor]: Taking taylor expansion of (neg (* 4.0 y)) in y 0.369 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.369 * [taylor]: Taking taylor expansion of 4.0 in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of 8.0 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow y 3))) in y 0.376 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.376 * [taylor]: Taking taylor expansion of 16.0 in y 0.376 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.382 * [taylor]: Taking taylor expansion of 32.0 in y 0.382 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.383 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.383 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.383 * [taylor]: Taking taylor expansion of (* x y) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 1.0 in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.385 * [taylor]: Taking taylor expansion of (* x y) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of -2.0 in y 0.392 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.392 * [taylor]: Taking taylor expansion of 4.0 in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (neg (* 8.0 (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of 8.0 in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.400 * [taylor]: Taking taylor expansion of 16.0 in y 0.400 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (neg (* 32.0 (pow y 4))) in y 0.405 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.405 * [taylor]: Taking taylor expansion of 32.0 in y 0.405 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.407 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1 2) 0.407 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of (* x y) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [taylor]: Taking taylor expansion of (* x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [taylor]: Taking taylor expansion of (* x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.408 * [taylor]: Taking taylor expansion of 0.5 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.414 * [taylor]: Taking taylor expansion of 0.5 in y 0.414 * [taylor]: Taking taylor expansion of (* x y) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.415 * [taylor]: Taking taylor expansion of 0.5 in x 0.415 * [taylor]: Taking taylor expansion of (* x y) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.415 * [taylor]: Taking taylor expansion of 0.5 in x 0.415 * [taylor]: Taking taylor expansion of (* x y) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.415 * [taylor]: Taking taylor expansion of 0.5 in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [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 0.420 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * [taylor]: Taking taylor expansion of (* x y) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [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 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * * * [progress]: simplifying candidates 0.428 * [simplify]: Simplifying using # : (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (neg (+ 1.0 (/ (* x y) 2.0))) (neg 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))) (neg 1) (neg (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (neg (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))) (neg 1) (neg (/ (+ 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))) (- (+ (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)) (neg (* x y)) (neg 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)) 0.436 * * [simplify]: iteration 0 : 534 enodes (cost 1267 ) 0.446 * * [simplify]: iteration 1 : 2636 enodes (cost 1136 ) 0.484 * * [simplify]: iteration 2 : 5002 enodes (cost 1049 ) 0.491 * [simplify]: Simplified to: (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (neg (+ 1.0 (/ (* x y) 2.0))) (neg y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (+ 1.0 (/ (* x y) 2.0)) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) y) (* y (- 1.0 (/ (* x y) 2.0))) -1 (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) -1 (neg (/ (+ 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) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 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))) 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) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 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))) 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) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 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))) y (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (sqrt y) 1 (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (+ 1.0 (/ (* 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)) (neg (* x y)) (neg 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) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.491 * * * [progress]: adding candidates to table 0.648 * * [progress]: iteration 3 / 4 0.648 * * * [progress]: picking best candidate 0.650 * * * * [pick]: Picked # 0.650 * * * [progress]: localizing error 0.658 * * * [progress]: generating rewritten candidates 0.658 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.664 * * * [progress]: generating series expansions 0.664 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.664 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) in (x y) around 0 0.664 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) in y 0.664 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 1.0 (/ 1 y))) in y 0.664 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.664 * [taylor]: Taking taylor expansion of 0.5 in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.664 * [taylor]: Taking taylor expansion of 1.0 in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) in x 0.666 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 1.0 (/ 1 y))) in x 0.666 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.666 * [taylor]: Taking taylor expansion of 0.5 in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) in x 0.666 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 1.0 (/ 1 y))) in x 0.666 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.666 * [taylor]: Taking taylor expansion of 0.5 in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.667 * [taylor]: Taking taylor expansion of 1.0 in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (neg (* 0.5 (pow y 2))) in y 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of 0.5 in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.672 * [taylor]: Taking taylor expansion of 0.25 in y 0.672 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (neg (* 0.125 (pow y 4))) in y 0.675 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.675 * [taylor]: Taking taylor expansion of 0.125 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.679 * [taylor]: Taking taylor expansion of 0.0625 in y 0.679 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.681 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in y 0.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in y 0.681 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.681 * [taylor]: Taking taylor expansion of 1.0 in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.681 * [taylor]: Taking taylor expansion of 0.5 in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of 0.5 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 2.0 in y 0.685 * [taylor]: Taking taylor expansion of (neg (* 4.0 y)) in y 0.685 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.685 * [taylor]: Taking taylor expansion of 4.0 in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of 8.0 in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow y 3))) in y 0.691 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.691 * [taylor]: Taking taylor expansion of 16.0 in y 0.691 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.695 * [taylor]: Taking taylor expansion of 32.0 in y 0.695 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.697 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in y 0.697 * [taylor]: Taking taylor expansion of -1 in y 0.697 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in y 0.697 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.697 * [taylor]: Taking taylor expansion of 1.0 in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.697 * [taylor]: Taking taylor expansion of 0.5 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of 0.5 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 y) (* 0.5 (/ 1 x)))) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* 0.5 (/ 1 x))) in x 0.698 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of 0.5 in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of -2.0 in y 0.701 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.701 * [taylor]: Taking taylor expansion of 4.0 in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (neg (* 8.0 (pow y 2))) in y 0.703 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of 8.0 in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.707 * [taylor]: Taking taylor expansion of 16.0 in y 0.707 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (neg (* 32.0 (pow y 4))) in y 0.711 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.711 * [taylor]: Taking taylor expansion of 32.0 in y 0.711 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.717 * * * [progress]: simplifying candidates 0.718 * [simplify]: Simplifying using # : (neg 1) (neg (log (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (- 0 (log (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (- (log 1) (log (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (log (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (exp (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (* (* 1 1) 1) (* (* (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (* (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (* (* (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (sqrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (sqrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (neg 1) (neg (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ (cbrt 1) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (cbrt 1) (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ (sqrt 1) (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ (sqrt 1) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (sqrt 1) (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (sqrt 1) (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 1) (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ (+ (* 0.5 x) (* 1.0 (/ 1 y))) 1) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 1) (/ (+ (* 0.5 x) (* 1.0 (/ 1 y))) (cbrt 1)) (/ (+ (* 0.5 x) (* 1.0 (/ 1 y))) (sqrt 1)) (/ (+ (* 0.5 x) (* 1.0 (/ 1 y))) 1) (/ 1 (+ (pow (* 0.5 x) 3) (pow (* 1.0 (/ 1 y)) 3))) (/ 1 (- (* (* 0.5 x) (* 0.5 x)) (* (* 1.0 (/ 1 y)) (* 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)))) 0.722 * * [simplify]: iteration 0 : 218 enodes (cost 317 ) 0.727 * * [simplify]: iteration 1 : 944 enodes (cost 287 ) 0.747 * * [simplify]: iteration 2 : 4998 enodes (cost 269 ) 0.877 * * [simplify]: iteration 3 : 5002 enodes (cost 269 ) 0.879 * [simplify]: Simplified to: -1 (log (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (log (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (log (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (log (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (exp (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (pow (+ (* 0.5 x) (* 1.0 (/ 1 y))) 3)) (* (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (cbrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (pow (+ (* 0.5 x) (* 1.0 (/ 1 y))) 3)) (sqrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (sqrt (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))) -1 (- (/ (neg 1.0) y) (* 0.5 x)) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) 1 (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) 1 (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) 1 (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (/ 1 (* (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))) (cbrt (+ (* 0.5 x) (* 1.0 (/ 1 y)))))) (/ 1 (sqrt (+ (* 0.5 x) (* 1.0 (/ 1 y))))) 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (/ 1 (+ (pow (* 0.5 x) 3) (pow (* 1.0 (/ 1 y)) 3))) (/ 1 (- (* (* 0.5 x) (* 0.5 x)) (* (* 1.0 (/ 1 y)) (* 1.0 (/ 1 y))))) (+ (* y (- 1.0 (* (* 0.5 x) y))) (* 0.25 (* (pow x 2) (pow y 3)))) (- (* 2.0 (/ 1 x)) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (* 2.0 (/ 1 x)) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) 0.879 * * * [progress]: adding candidates to table 0.919 * * [progress]: iteration 4 / 4 0.919 * * * [progress]: picking best candidate 0.920 * * * * [pick]: Picked # 0.920 * * * [progress]: localizing error 0.930 * * * [progress]: generating rewritten candidates 0.930 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.949 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.956 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2) 0.983 * * * [progress]: generating series expansions 0.983 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.983 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.983 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.983 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.983 * [taylor]: Taking taylor expansion of 0.5 in y 0.983 * [taylor]: Taking taylor expansion of (* x y) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of 1.0 in y 0.984 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.984 * [taylor]: Taking taylor expansion of 0.5 in x 0.984 * [taylor]: Taking taylor expansion of (* x y) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.985 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of 0.5 in x 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.986 * [taylor]: Taking taylor expansion of 1.0 in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (neg (* 0.5 (pow y 2))) in y 0.988 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of 0.5 in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.991 * [taylor]: Taking taylor expansion of 0.25 in y 0.991 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of (neg (* 0.125 (pow y 4))) in y 0.995 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.995 * [taylor]: Taking taylor expansion of 0.125 in y 0.995 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.995 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 1.001 * [taylor]: Taking taylor expansion of 0.0625 in y 1.001 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.002 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 1.002 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 1.002 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 1.002 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.002 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.002 * [taylor]: Taking taylor expansion of 0.5 in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.002 * [taylor]: Taking taylor expansion of (* x y) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 1.0 in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.004 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.004 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.004 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.004 * [taylor]: Taking taylor expansion of 0.5 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.004 * [taylor]: Taking taylor expansion of (* x y) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.005 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.005 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.005 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.005 * [taylor]: Taking taylor expansion of 0.5 in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.005 * [taylor]: Taking taylor expansion of (* x y) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of 2.0 in y 1.007 * [taylor]: Taking taylor expansion of (neg (* 4.0 y)) in y 1.007 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.007 * [taylor]: Taking taylor expansion of 4.0 in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.010 * [taylor]: Taking taylor expansion of 8.0 in y 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow y 3))) in y 1.022 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.022 * [taylor]: Taking taylor expansion of 16.0 in y 1.022 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.028 * [taylor]: Taking taylor expansion of 32.0 in y 1.028 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.029 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 1.029 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 1.029 * [taylor]: Taking taylor expansion of -1 in y 1.029 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 1.029 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.029 * [taylor]: Taking taylor expansion of 0.5 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.029 * [taylor]: Taking taylor expansion of (* x y) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of 1.0 in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.031 * [taylor]: Taking taylor expansion of -1 in x 1.031 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.031 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.031 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.031 * [taylor]: Taking taylor expansion of 0.5 in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.031 * [taylor]: Taking taylor expansion of (* x y) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.032 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.032 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.032 * [taylor]: Taking taylor expansion of 0.5 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.032 * [taylor]: Taking taylor expansion of (* x y) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of -2.0 in y 1.035 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.035 * [taylor]: Taking taylor expansion of 4.0 in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (neg (* 8.0 (pow y 2))) in y 1.038 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of 8.0 in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.042 * [taylor]: Taking taylor expansion of 16.0 in y 1.042 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (neg (* 32.0 (pow y 4))) in y 1.048 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.048 * [taylor]: Taking taylor expansion of 32.0 in y 1.048 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.050 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.050 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in y 1.050 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 1.050 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 1.050 * [taylor]: Taking taylor expansion of 0.5 in y 1.050 * [taylor]: Taking taylor expansion of (* x y) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 1.0 in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 1.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.051 * [taylor]: Taking taylor expansion of 0.5 in x 1.051 * [taylor]: Taking taylor expansion of (* x y) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 1.052 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 1.052 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.052 * [taylor]: Taking taylor expansion of 0.5 in x 1.052 * [taylor]: Taking taylor expansion of (* x y) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in y 1.053 * [taylor]: Taking taylor expansion of (neg (* 0.5 y)) in y 1.053 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.053 * [taylor]: Taking taylor expansion of 0.5 in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of 0.25 in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of (neg (* 0.125 (pow y 3))) in y 1.059 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 3)) in y 1.059 * [taylor]: Taking taylor expansion of 0.125 in y 1.059 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 4)) in y 1.064 * [taylor]: Taking taylor expansion of 0.0625 in y 1.064 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.065 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 1.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.065 * [taylor]: Taking taylor expansion of 0.5 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.065 * [taylor]: Taking taylor expansion of (* x y) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of 1.0 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.065 * [taylor]: Taking taylor expansion of 0.5 in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.065 * [taylor]: Taking taylor expansion of (* x y) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.066 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.066 * [taylor]: Taking taylor expansion of 0.5 in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.066 * [taylor]: Taking taylor expansion of (* x y) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.066 * [taylor]: Taking taylor expansion of 2.0 in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.069 * [taylor]: Taking taylor expansion of (neg (* 4.0 (pow y 2))) in y 1.069 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.069 * [taylor]: Taking taylor expansion of 4.0 in y 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 1.071 * [taylor]: Taking taylor expansion of 8.0 in y 1.071 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow y 4))) in y 1.075 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 1.075 * [taylor]: Taking taylor expansion of 16.0 in y 1.075 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 1.080 * [taylor]: Taking taylor expansion of 32.0 in y 1.080 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.082 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 1.082 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.082 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.082 * [taylor]: Taking taylor expansion of 0.5 in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.082 * [taylor]: Taking taylor expansion of (* x y) in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of 1.0 in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.082 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.082 * [taylor]: Taking taylor expansion of 0.5 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.082 * [taylor]: Taking taylor expansion of (* x y) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.083 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.083 * [taylor]: Taking taylor expansion of 0.5 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.083 * [taylor]: Taking taylor expansion of (* x y) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.083 * [taylor]: Taking taylor expansion of 2.0 in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (neg (* 4.0 (pow y 2))) in y 1.085 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of 4.0 in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 3)) in y 1.088 * [taylor]: Taking taylor expansion of 8.0 in y 1.088 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (neg (* 16.0 (pow y 4))) in y 1.092 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 4)) in y 1.092 * [taylor]: Taking taylor expansion of 16.0 in y 1.092 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.096 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 5)) in y 1.096 * [taylor]: Taking taylor expansion of 32.0 in y 1.096 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.098 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2) 1.098 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 1.098 * [taylor]: Taking taylor expansion of 0.5 in y 1.098 * [taylor]: Taking taylor expansion of (* x y) in y 1.098 * [taylor]: Taking taylor expansion of x in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.098 * [taylor]: Taking taylor expansion of 0.5 in x 1.098 * [taylor]: Taking taylor expansion of (* x y) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.098 * [taylor]: Taking taylor expansion of 0.5 in x 1.098 * [taylor]: Taking taylor expansion of (* x y) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.099 * [taylor]: Taking taylor expansion of 0.5 in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 1.110 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 1.110 * [taylor]: Taking taylor expansion of 0.5 in y 1.110 * [taylor]: Taking taylor expansion of (* x y) in y 1.110 * [taylor]: Taking taylor expansion of x in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 1.110 * [taylor]: Taking taylor expansion of 0.5 in x 1.110 * [taylor]: Taking taylor expansion of (* x y) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 1.110 * [taylor]: Taking taylor expansion of 0.5 in x 1.110 * [taylor]: Taking taylor expansion of (* x y) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.111 * [taylor]: Taking taylor expansion of 0.5 in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 1.116 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 1.116 * [taylor]: Taking taylor expansion of 0.5 in y 1.116 * [taylor]: Taking taylor expansion of (* x y) in y 1.116 * [taylor]: Taking taylor expansion of x in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 1.116 * [taylor]: Taking taylor expansion of 0.5 in x 1.116 * [taylor]: Taking taylor expansion of (* x y) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 1.116 * [taylor]: Taking taylor expansion of 0.5 in x 1.116 * [taylor]: Taking taylor expansion of (* x y) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.117 * [taylor]: Taking taylor expansion of 0.5 in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.121 * * * [progress]: simplifying candidates 1.128 * [simplify]: Simplifying using # : (- (neg (log (+ 1.0 (/ (* x y) 2.0)))) (neg (log y))) (- (neg (log (+ 1.0 (/ (* x y) 2.0)))) (- 0 (log y))) (- (neg (log (+ 1.0 (/ (* x y) 2.0)))) (- (log 1) (log y))) (- (neg (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 y))) (- (- 0 (log (+ 1.0 (/ (* x y) 2.0)))) (neg (log y))) (- (- 0 (log (+ 1.0 (/ (* x y) 2.0)))) (- 0 (log y))) (- (- 0 (log (+ 1.0 (/ (* x y) 2.0)))) (- (log 1) (log y))) (- (- 0 (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 y))) (- (- (log 1) (log (+ 1.0 (/ (* x y) 2.0)))) (neg (log y))) (- (- (log 1) (log (+ 1.0 (/ (* x y) 2.0)))) (- 0 (log y))) (- (- (log 1) (log (+ 1.0 (/ (* x y) 2.0)))) (- (log 1) (log y))) (- (- (log 1) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 y))) (- (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (neg (log y))) (- (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- 0 (log y))) (- (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (- (log 1) (log y))) (- (log (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (log (/ 1 y))) (log (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (exp (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (/ (/ (* (* 1 1) 1) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* 1 1) 1) (* (* y y) y))) (/ (/ (* (* 1 1) 1) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (/ (* (* (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* 1 1) 1) (* (* y y) y))) (/ (* (* (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (cbrt (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y)))) (cbrt (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (* (* (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y)) (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (sqrt (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (sqrt (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))) (neg (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (neg (/ 1 y)) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ 1 y))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (cbrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (sqrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) y)) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (cbrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) (sqrt y))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (sqrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) y)) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (cbrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt y))) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt y))) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) (/ 1 1)) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 y)) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) 1) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 y)) (/ (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))) 1) (/ (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ 1 y)) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (cbrt y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (sqrt y))) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) y)) (/ (sqrt 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(cbrt (/ 1 y)))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ 1 y))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ 1 y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (cbrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) (sqrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt 1) y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (cbrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) (sqrt y))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) (sqrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt 1) y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt y) (cbrt y)))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (cbrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt y))) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 1)) (/ (/ (cbrt 1) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (/ (* x y) 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8.0 (/ 1 (* (pow x 3) (pow y 3)))) (* 2.0 (/ 1 (* x y)))) (* 4.0 (/ 1 (* (pow x 2) (pow y 2))))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 1.201 * * * [progress]: adding candidates to table 1.572 * [progress]: [Phase 3 of 3] Extracting. 1.572 * * [regime]: Finding splitpoints for: (# # #) 1.572 * * * [regime-changes]: Trying 3 branch expressions: ((- x (/ y (+ 1.0 (/ (* x y) 2.0)))) y x) 1.572 * * * * [regimes]: Trying to branch on (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) from (# # #) 1.589 * * * * [regimes]: Trying to branch on y from (# # #) 1.601 * * * * [regimes]: Trying to branch on x from (# # #) 1.622 * * * [regime]: Found split indices: #