15.744 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (- x y)) 0.016 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.018 * [simplify]: Simplified to: (/ (+ x y) (- x y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.050 * [taylor]: Taking taylor expansion of (+ x y) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (- x y) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.051 * [taylor]: Taking taylor expansion of (+ x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (- x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.051 * [taylor]: Taking taylor expansion of (+ x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (- x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of 2 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.054 * [taylor]: Taking taylor expansion of 2 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.059 * [taylor]: Taking taylor expansion of 2 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.064 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of 2 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.087 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of -1 in x 0.089 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of 2 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.098 * [taylor]: Taking taylor expansion of 2 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.105 * [taylor]: Taking taylor expansion of 2 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.110 * * * [progress]: simplifying candidates 0.111 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (- (log (+ x y)) (log (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (/ (+ x y) 1) (/ (+ x y) (+ (sqrt x) (sqrt y))) (/ (+ x y) 1) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) -1 1 1 0.115 * * [simplify]: iteration 0 : 174 enodes (cost 296 ) 0.119 * * [simplify]: iteration 1 : 526 enodes (cost 282 ) 0.127 * * [simplify]: iteration 2 : 1532 enodes (cost 278 ) 0.153 * * [simplify]: iteration 3 : 5001 enodes (cost 278 ) 0.155 * [simplify]: Simplified to: (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- y x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (+ x y) (/ (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- x y)) (* (fma x x (- (* y y) (* x y))) (- x y)) (* (- x y) (- x y)) -1 1 1 0.155 * * * [progress]: adding candidates to table 0.228 * * [progress]: iteration 2 / 4 0.228 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.260 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.280 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.314 * [approximate]: Taking taylor expansion of (pow (/ (+ x y) (- x y)) 3) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (pow (/ (+ x y) (- x y)) 3) in y 0.315 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.315 * [taylor]: Taking taylor expansion of (+ x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (- x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (pow (/ (+ x y) (- x y)) 3) in x 0.315 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of (+ x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (pow (/ (+ x y) (- x y)) 3) in x 0.315 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of (+ x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of -1 in y 0.317 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 y))) in y 0.317 * [taylor]: Taking taylor expansion of (* 6 (/ 1 y)) in y 0.317 * [taylor]: Taking taylor expansion of 6 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow y 2)))) in y 0.320 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of 18 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow y 3)))) in y 0.325 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow y 3))) in y 0.325 * [taylor]: Taking taylor expansion of 38 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.331 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) 3) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) 3) in y 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) 3) in x 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) 3) in x 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.337 * [taylor]: Taking taylor expansion of (* 6 (/ 1 y)) in y 0.337 * [taylor]: Taking taylor expansion of 6 in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of 18 in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow y 3))) in y 0.348 * [taylor]: Taking taylor expansion of 38 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.353 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 3) in y 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.353 * [taylor]: Taking taylor expansion of -1 in y 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 3) in x 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 3) in x 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of (* 6 (/ 1 y)) in y 0.363 * [taylor]: Taking taylor expansion of 6 in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of 18 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow y 3))) in y 0.376 * [taylor]: Taking taylor expansion of 38 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.381 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.381 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.381 * [taylor]: Taking taylor expansion of (+ x y) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (- x y) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.382 * [taylor]: Taking taylor expansion of (+ x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (- x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.382 * [taylor]: Taking taylor expansion of (+ x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (- x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.383 * [taylor]: Taking taylor expansion of 2 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of 2 in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.390 * [taylor]: Taking taylor expansion of 2 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.395 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.401 * [taylor]: Taking taylor expansion of 2 in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of 2 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.410 * [taylor]: Taking taylor expansion of 2 in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.415 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in y 0.415 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) in y 0.415 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.415 * [taylor]: Taking taylor expansion of -1 in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in y 0.425 * [taylor]: Taking taylor expansion of -1 in y 0.425 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.425 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) y))) in y 0.429 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) y)) in y 0.429 * [taylor]: Taking taylor expansion of 2 in y 0.429 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 0.429 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.429 * [taylor]: Taking taylor expansion of -1 in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow y 2)))) in y 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow y 2))) in y 0.436 * [taylor]: Taking taylor expansion of 2 in y 0.436 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow y 3)))) in y 0.452 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow y 3))) in y 0.453 * [taylor]: Taking taylor expansion of 2 in y 0.453 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 0.453 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.453 * [taylor]: Taking taylor expansion of -1 in y 0.453 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.461 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.461 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.461 * [taylor]: Taking taylor expansion of (+ x y) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (- x y) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.462 * [taylor]: Taking taylor expansion of (+ x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (- x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.462 * [taylor]: Taking taylor expansion of (+ x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (- x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.465 * [taylor]: Taking taylor expansion of 2 in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.470 * [taylor]: Taking taylor expansion of 2 in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.475 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of 1 in y 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of 2 in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.490 * [taylor]: Taking taylor expansion of 2 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.495 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.501 * [taylor]: Taking taylor expansion of 2 in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.505 * [taylor]: Taking taylor expansion of 2 in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.512 * [taylor]: Taking taylor expansion of 2 in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.512 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.517 * * * [progress]: simplifying candidates 0.520 * [simplify]: Simplifying using # : (expm1 (pow (/ (+ x y) (- x y)) 3)) (log1p (pow (/ (+ x y) (- x y)) 3)) (* (- (log (+ x y)) (log (- x y))) 3) (* (log (/ (+ x y) (- x y))) 3) (* (log (/ (+ x y) (- x y))) 3) (* 1 3) (pow (/ (+ x y) (- x y)) (* (cbrt 3) (cbrt 3))) (pow (/ (+ x y) (- x y)) (sqrt 3)) (pow (/ (+ x y) (- x y)) 1) (pow (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) 3) (pow (cbrt (/ (+ x y) (- x y))) 3) (pow (sqrt (/ (+ x y) (- x y))) 3) (pow (sqrt (/ (+ x y) (- x y))) 3) (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) 3) (pow (/ (cbrt (+ x y)) (cbrt (- x y))) 3) (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) 3) (pow (/ (cbrt (+ x y)) (sqrt (- x y))) 3) (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) 3) (pow (/ (cbrt (+ x y)) (- x y)) 3) (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) 3) (pow (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) 3) (pow (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) 3) (pow (/ (cbrt (+ x y)) (- x y)) 3) (pow (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) 3) (pow (/ (sqrt (+ x y)) (cbrt (- x y))) 3) (pow (/ (sqrt (+ x y)) (sqrt (- x y))) 3) (pow (/ (sqrt (+ x y)) (sqrt (- x y))) 3) (pow (/ (sqrt (+ x y)) 1) 3) (pow (/ (sqrt (+ x y)) (- x y)) 3) (pow (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) 3) (pow (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) 3) (pow (/ (sqrt (+ x y)) 1) 3) (pow (/ (sqrt (+ x y)) (- x y)) 3) (pow (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) 3) (pow (/ (+ x y) (cbrt (- x y))) 3) (pow (/ 1 (sqrt (- x y))) 3) (pow (/ (+ x y) (sqrt (- x y))) 3) (pow (/ 1 1) 3) (pow (/ (+ x y) (- x y)) 3) (pow (/ 1 (+ (sqrt x) (sqrt 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(- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) 1 (/ (+ x y) (- x y)) (+ x y) (/ 1 (- x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (fma x x (fma y y (* x y))) (/ (+ x y) (- (* x x) (* y y))) (+ x y) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) 1 (/ (+ x y) (- x y)) (+ x y) (/ 1 (- x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (fma x x (fma y y (* x y))) (/ (+ x y) (- (* x x) (* y y))) (+ x y) (cbrt (/ (+ x y) (- x y))) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (sqrt (pow (/ (+ x y) (- x y)) 3))) (cbrt (sqrt (pow (/ (+ x y) (- x y)) 3))) 1 (/ (+ x y) (- x y)) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (+ x y) (- x y) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (cbrt (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (+ x y) (/ (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (fma y (- y x) (* x x))) (* (- x y) (- x y)) -1 1 1 -1 1 (* -1 (cbrt -1)) -1 1 1 0.585 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 3 / 4 0.828 * * * [progress]: picking best candidate 0.831 * * * * [pick]: Picked # 0.831 * * * [progress]: localizing error 0.843 * * * [progress]: generating rewritten candidates 0.843 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.843 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.867 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.869 * * * [progress]: generating series expansions 0.869 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.869 * [approximate]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in (x y) around 0 0.869 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in y 0.870 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 0.870 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in y 0.870 * [taylor]: Taking taylor expansion of 1 in y 0.870 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.870 * [taylor]: Taking taylor expansion of (+ x y) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (- x y) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in x 0.871 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 0.871 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in x 0.871 * [taylor]: Taking taylor expansion of 1 in x 0.871 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.871 * [taylor]: Taking taylor expansion of (+ x y) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (- x y) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in x 0.872 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 0.872 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in x 0.872 * [taylor]: Taking taylor expansion of 1 in x 0.872 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.872 * [taylor]: Taking taylor expansion of (+ x y) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (- x y) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (+ (log x) (log (- (* 2 (/ 1 y))))) in y 0.874 * [taylor]: Taking taylor expansion of (log x) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 y)))) in y 0.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.874 * [taylor]: Taking taylor expansion of 2 in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.882 * [taylor]: Taking taylor expansion of 1/2 in y 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (/ 1/3 (pow y 3)) in y 0.892 * [taylor]: Taking taylor expansion of 1/3 in y 0.892 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.897 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.897 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 0.898 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 0.898 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 0.898 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.901 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 0.901 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.901 * [taylor]: Taking taylor expansion of 1 in x 0.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.902 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 0.902 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.903 * [taylor]: Taking taylor expansion of 1 in x 0.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (log 2) in y 0.904 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of 1/2 in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (/ 1/3 (pow y 3)) in y 0.923 * [taylor]: Taking taylor expansion of 1/3 in y 0.923 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.928 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.928 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 0.928 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.928 * [taylor]: Taking taylor expansion of 1 in y 0.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.928 * [taylor]: Taking taylor expansion of -1 in y 0.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.932 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 0.932 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.932 * [taylor]: Taking taylor expansion of 1 in x 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.934 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 0.934 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.934 * [taylor]: Taking taylor expansion of 1 in x 0.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (log 2) in y 0.936 * [taylor]: Taking taylor expansion of 2 in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of 1/2 in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (/ 1/3 (pow y 3)) in y 0.953 * [taylor]: Taking taylor expansion of 1/3 in y 0.953 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.958 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.958 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.958 * [taylor]: Taking taylor expansion of (+ x y) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (- x y) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.958 * [taylor]: Taking taylor expansion of (+ x y) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (- x y) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.959 * [taylor]: Taking taylor expansion of (+ x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (- x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.960 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.960 * [taylor]: Taking taylor expansion of 2 in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.962 * [taylor]: Taking taylor expansion of 2 in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.972 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.972 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of 1 in y 0.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.977 * [taylor]: Taking taylor expansion of 2 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of 2 in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.987 * [taylor]: Taking taylor expansion of 2 in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.987 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.992 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.992 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.992 * [taylor]: Taking taylor expansion of -1 in y 0.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.992 * [taylor]: Taking taylor expansion of x in y 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.993 * [taylor]: Taking taylor expansion of x in y 0.993 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of 1 in y 0.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of 2 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.005 * [taylor]: Taking taylor expansion of 2 in y 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.012 * [taylor]: Taking taylor expansion of 2 in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.017 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.017 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ x y) (- x y)))) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x y) (- x y)))) in y 1.017 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x y) (- x y)))) 1) 1.017 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x y) (- x y)))) in y 1.017 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in y 1.018 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 1.018 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in y 1.018 * [taylor]: Taking taylor expansion of 1 in y 1.018 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.018 * [taylor]: Taking taylor expansion of (+ x y) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (- x y) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of 1 in y 1.019 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x y) (- x y)))) in x 1.019 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x y) (- x y)))) 1) 1.019 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x y) (- x y)))) in x 1.019 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in x 1.019 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 1.019 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in x 1.019 * [taylor]: Taking taylor expansion of 1 in x 1.019 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.019 * [taylor]: Taking taylor expansion of (+ x y) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.019 * [taylor]: Taking taylor expansion of (- x y) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of 1 in x 1.021 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x y) (- x y)))) in x 1.021 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x y) (- x y)))) 1) 1.021 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x y) (- x y)))) in x 1.021 * [taylor]: Taking taylor expansion of (log1p (/ (+ x y) (- x y))) in x 1.021 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x y) (- x y)))) 1.021 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x y) (- x y))) in x 1.021 * [taylor]: Taking taylor expansion of 1 in x 1.022 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.022 * [taylor]: Taking taylor expansion of (+ x y) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (- x y) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of 1 in x 1.024 * [taylor]: Taking taylor expansion of (- (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) 1) in y 1.024 * [taylor]: Taking taylor expansion of (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) in y 1.024 * [taylor]: Taking taylor expansion of (+ (log x) (log (- (* 2 (/ 1 y))))) in y 1.024 * [taylor]: Taking taylor expansion of (log x) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 y)))) in y 1.024 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.024 * [taylor]: Taking taylor expansion of 2 in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of 1 in y 1.029 * [taylor]: Taking taylor expansion of (/ (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) y) in y 1.029 * [taylor]: Taking taylor expansion of (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) in y 1.029 * [taylor]: Taking taylor expansion of (+ (log x) (log (- (* 2 (/ 1 y))))) in y 1.029 * [taylor]: Taking taylor expansion of (log x) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 y)))) in y 1.029 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.029 * [taylor]: Taking taylor expansion of 2 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (/ (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) in y 1.042 * [taylor]: Taking taylor expansion of (+ (log x) (log (- (* 2 (/ 1 y))))) in y 1.042 * [taylor]: Taking taylor expansion of (log x) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 y)))) in y 1.042 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.042 * [taylor]: Taking taylor expansion of 2 in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (/ (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) (pow y 3)) in y 1.072 * [taylor]: Taking taylor expansion of (exp (+ (log x) (log (- (* 2 (/ 1 y)))))) in y 1.072 * [taylor]: Taking taylor expansion of (+ (log x) (log (- (* 2 (/ 1 y))))) in y 1.072 * [taylor]: Taking taylor expansion of (log x) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 y)))) in y 1.072 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.072 * [taylor]: Taking taylor expansion of 2 in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.101 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in (x y) around 0 1.101 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.101 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1) 1.101 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.101 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.101 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1.101 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.101 * [taylor]: Taking taylor expansion of 1 in y 1.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of 1 in y 1.105 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.105 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1) 1.105 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.105 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.105 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1.105 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.105 * [taylor]: Taking taylor expansion of 1 in x 1.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of 1 in x 1.107 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.107 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1) 1.107 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.108 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.108 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) 1.108 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.108 * [taylor]: Taking taylor expansion of 1 in x 1.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of 1 in x 1.110 * [taylor]: Taking taylor expansion of 1 in y 1.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.113 * [taylor]: Taking taylor expansion of 2 in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.118 * [taylor]: Taking taylor expansion of 2 in y 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.127 * [taylor]: Taking taylor expansion of 2 in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.132 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in (x y) around 0 1.132 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.132 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1) 1.132 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.132 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.132 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1.132 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.133 * [taylor]: Taking taylor expansion of 1 in y 1.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.133 * [taylor]: Taking taylor expansion of -1 in y 1.133 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of 1 in y 1.136 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.136 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1) 1.136 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.137 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.137 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1.137 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.137 * [taylor]: Taking taylor expansion of 1 in x 1.137 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.137 * [taylor]: Taking taylor expansion of -1 in x 1.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of 1 in x 1.139 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.139 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1) 1.139 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.139 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.140 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) 1.140 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.140 * [taylor]: Taking taylor expansion of 1 in x 1.140 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.140 * [taylor]: Taking taylor expansion of -1 in x 1.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of 1 in y 1.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.146 * [taylor]: Taking taylor expansion of 2 in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.152 * [taylor]: Taking taylor expansion of 2 in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.161 * [taylor]: Taking taylor expansion of 2 in y 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.161 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.166 * * * [progress]: simplifying candidates 1.167 * [simplify]: Simplifying using # : (+ 1 (/ (+ x y) (- x y))) (expm1 (log1p (/ (+ x y) (- x y)))) (log1p (log1p (/ (+ x y) (- x y)))) (log (log1p (/ (+ x y) (- x y)))) (exp (log1p (/ (+ x y) (- x y)))) (* (cbrt (log1p (/ (+ x y) (- x y)))) (cbrt (log1p (/ (+ x y) (- x y))))) (cbrt (log1p (/ (+ x y) (- x y)))) (* (* (log1p (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y)))) (log1p (/ (+ x y) (- x y)))) (sqrt (log1p (/ (+ x y) (- x y)))) (sqrt (log1p (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (- (log (+ x y)) (log (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (/ (+ x y) 1) (/ (+ x y) (+ (sqrt x) (sqrt y))) (/ (+ x y) 1) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) (exp (log1p (/ (+ x y) (- x y)))) (expm1 (expm1 (log1p (/ (+ x y) (- x y))))) (log1p (expm1 (log1p (/ (+ x y) (- x y))))) (log (expm1 (log1p (/ (+ x y) (- x y))))) (exp (expm1 (log1p (/ (+ x y) (- x y))))) (* (cbrt (expm1 (log1p (/ (+ x y) (- x y))))) (cbrt (expm1 (log1p (/ (+ x y) (- x y)))))) (cbrt (expm1 (log1p (/ (+ x y) (- x y))))) (* (* (expm1 (log1p (/ (+ x y) (- x y)))) (expm1 (log1p (/ (+ x y) (- x y))))) (expm1 (log1p (/ (+ x y) (- x y))))) (sqrt (expm1 (log1p (/ (+ x y) (- x y))))) (sqrt (expm1 (log1p (/ (+ x y) (- x y))))) (- (+ (log -2) (log x)) (log y)) (log 2) (log 2) -1 1 1 (- (exp (- (+ (log -2) (log x)) (log y))) 1) 1 1 1.172 * * [simplify]: iteration 0 : 216 enodes (cost 424 ) 1.175 * * [simplify]: iteration 1 : 596 enodes (cost 394 ) 1.184 * * [simplify]: iteration 2 : 1789 enodes (cost 390 ) 1.211 * * [simplify]: iteration 3 : 5001 enodes (cost 388 ) 1.213 * [simplify]: Simplified to: (+ 1 (/ (+ x y) (- x y))) (/ (+ x y) (- x y)) (log1p (log1p (/ (+ x y) (- x y)))) (log (log1p (/ (+ x y) (- x y)))) (exp (log1p (/ (+ x y) (- x y)))) (* (cbrt (log1p (/ (+ x y) (- x y)))) (cbrt (log1p (/ (+ x y) (- x y))))) (cbrt (log1p (/ (+ x y) (- x y)))) (pow (log1p (/ (+ x y) (- x y))) 3) (sqrt (log1p (/ (+ x y) (- x y)))) (sqrt (log1p (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- y x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (+ x y) (/ (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- x y)) (* (fma x x (- (* y y) (* x y))) (- x y)) (* (- x y) (- x y)) (exp (log1p (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (pow (/ (+ x y) (- x y)) 3) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ (log -2) (log x)) (log y)) (log 2) (log 2) -1 1 1 (fma x (* -2 (/ 1 y)) (- 1)) 1 1 1.213 * * * [progress]: adding candidates to table 1.363 * * [progress]: iteration 4 / 4 1.363 * * * [progress]: picking best candidate 1.364 * * * * [pick]: Picked # 1.364 * * * [progress]: localizing error 1.374 * * * [progress]: generating rewritten candidates 1.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.556 * * * [progress]: generating series expansions 1.556 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.557 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 1.557 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.557 * [taylor]: Taking taylor expansion of (+ x y) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (- x y) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.557 * [taylor]: Taking taylor expansion of (+ x y) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (- x y) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.558 * [taylor]: Taking taylor expansion of (+ x y) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (- x y) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of -1 in y 1.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.559 * [taylor]: Taking taylor expansion of 2 in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.561 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.561 * [taylor]: Taking taylor expansion of 2 in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.566 * [taylor]: Taking taylor expansion of 2 in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.566 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.572 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.573 * [taylor]: Taking taylor expansion of y in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of 1 in y 1.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.577 * [taylor]: Taking taylor expansion of 2 in y 1.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.581 * [taylor]: Taking taylor expansion of 2 in y 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.581 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.587 * [taylor]: Taking taylor expansion of 2 in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.587 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.592 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.592 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.592 * [taylor]: Taking taylor expansion of -1 in y 1.592 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.592 * [taylor]: Taking taylor expansion of y in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.593 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.593 * [taylor]: Taking taylor expansion of y in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.594 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.594 * [taylor]: Taking taylor expansion of -1 in x 1.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.595 * [taylor]: Taking taylor expansion of -1 in x 1.595 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.595 * [taylor]: Taking taylor expansion of y in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of 1 in y 1.598 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.598 * [taylor]: Taking taylor expansion of 2 in y 1.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.602 * [taylor]: Taking taylor expansion of 2 in y 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.602 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.609 * [taylor]: Taking taylor expansion of 2 in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.609 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.614 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.615 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 1.615 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.615 * [taylor]: Taking taylor expansion of (+ x y) in y 1.615 * [taylor]: Taking taylor expansion of x in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [taylor]: Taking taylor expansion of (- x y) in y 1.615 * [taylor]: Taking taylor expansion of x in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.615 * [taylor]: Taking taylor expansion of (+ x y) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of (- x y) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.615 * [taylor]: Taking taylor expansion of (+ x y) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of (- x y) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.616 * [taylor]: Taking taylor expansion of -1 in y 1.616 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.616 * [taylor]: Taking taylor expansion of 2 in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.618 * [taylor]: Taking taylor expansion of 2 in y 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.623 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.623 * [taylor]: Taking taylor expansion of 2 in y 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.623 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.629 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.630 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.631 * [taylor]: Taking taylor expansion of y in x 1.632 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.632 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.633 * [taylor]: Taking taylor expansion of 1 in y 1.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.634 * [taylor]: Taking taylor expansion of 2 in y 1.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.643 * [taylor]: Taking taylor expansion of 2 in y 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.643 * [taylor]: Taking taylor expansion of y in y 1.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.649 * [taylor]: Taking taylor expansion of 2 in y 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.649 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.655 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.655 * [taylor]: Taking taylor expansion of -1 in y 1.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.655 * [taylor]: Taking taylor expansion of x in y 1.655 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.655 * [taylor]: Taking taylor expansion of x in y 1.656 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.656 * [taylor]: Taking taylor expansion of -1 in x 1.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of 1 in y 1.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.661 * [taylor]: Taking taylor expansion of 2 in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.665 * [taylor]: Taking taylor expansion of 2 in y 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.665 * [taylor]: Taking taylor expansion of y in y 1.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.672 * [taylor]: Taking taylor expansion of 2 in y 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.672 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.677 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.678 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 1.678 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.678 * [taylor]: Taking taylor expansion of (+ x y) in y 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (- x y) in y 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.678 * [taylor]: Taking taylor expansion of (+ x y) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (- x y) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.678 * [taylor]: Taking taylor expansion of (+ x y) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (- x y) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of -1 in y 1.679 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.681 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.681 * [taylor]: Taking taylor expansion of 2 in y 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.686 * [taylor]: Taking taylor expansion of 2 in y 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.686 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.692 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.692 * [taylor]: Taking taylor expansion of y in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.692 * [taylor]: Taking taylor expansion of x in y 1.692 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.692 * [taylor]: Taking taylor expansion of x in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.692 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.693 * [taylor]: Taking taylor expansion of y in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.694 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.695 * [taylor]: Taking taylor expansion of y in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.695 * [taylor]: Taking taylor expansion of y in x 1.696 * [taylor]: Taking taylor expansion of 1 in y 1.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.697 * [taylor]: Taking taylor expansion of 2 in y 1.697 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.701 * [taylor]: Taking taylor expansion of 2 in y 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.707 * [taylor]: Taking taylor expansion of 2 in y 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.707 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.707 * [taylor]: Taking taylor expansion of y in y 1.712 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 2) in (x y) around 0 1.712 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 2) in y 1.712 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.712 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.712 * [taylor]: Taking taylor expansion of -1 in y 1.712 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.713 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 2) in x 1.716 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.716 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.716 * [taylor]: Taking taylor expansion of -1 in x 1.716 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 2) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.720 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of 1 in y 1.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.724 * [taylor]: Taking taylor expansion of 2 in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.734 * [taylor]: Taking taylor expansion of 2 in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.741 * [taylor]: Taking taylor expansion of 2 in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.741 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.746 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.747 * [approximate]: Taking taylor expansion of (sqrt (/ (+ x y) (- x y))) in (x y) around 0 1.747 * [taylor]: Taking taylor expansion of (sqrt (/ (+ x y) (- x y))) in y 1.747 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.747 * [taylor]: Taking taylor expansion of (+ x y) in y 1.747 * [taylor]: Taking taylor expansion of x in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.747 * [taylor]: Taking taylor expansion of (- x y) in y 1.747 * [taylor]: Taking taylor expansion of x in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.748 * [taylor]: Taking taylor expansion of (sqrt (/ (+ x y) (- x y))) in x 1.748 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.748 * [taylor]: Taking taylor expansion of (+ x y) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of y in x 1.748 * [taylor]: Taking taylor expansion of (- x y) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (/ (+ x y) (- x y))) in x 1.750 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.750 * [taylor]: Taking taylor expansion of (+ x y) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of (- x y) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.752 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.752 * [taylor]: Taking taylor expansion of -1 in y 1.753 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) y)) in y 1.753 * [taylor]: Taking taylor expansion of -1 in y 1.753 * [taylor]: Taking taylor expansion of (* (sqrt -1) y) in y 1.753 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.753 * [taylor]: Taking taylor expansion of -1 in y 1.753 * [taylor]: Taking taylor expansion of y in y 1.759 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (/ 1 (* (pow (sqrt -1) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) (sqrt -1))) in y 1.759 * [taylor]: Taking taylor expansion of -1/2 in y 1.759 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* (pow (sqrt -1) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) (sqrt -1)) in y 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.759 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow y 2))) in y 1.759 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow y 2)) in y 1.759 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in y 1.759 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.759 * [taylor]: Taking taylor expansion of -1 in y 1.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.760 * [taylor]: Taking taylor expansion of y in y 1.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.763 * [taylor]: Taking taylor expansion of 2 in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.763 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.763 * [taylor]: Taking taylor expansion of -1 in y 1.785 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (/ 1 (* (pow (sqrt -1) 4) (pow y 3))) (+ (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow y 3)))))) (sqrt -1))) in y 1.785 * [taylor]: Taking taylor expansion of -1/2 in y 1.785 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* (pow (sqrt -1) 4) (pow y 3))) (+ (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow y 3)))))) (sqrt -1)) in y 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow y 3))) (+ (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow y 3)))))) in y 1.785 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow y 3))) in y 1.785 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow y 3)) in y 1.785 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in y 1.785 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.785 * [taylor]: Taking taylor expansion of -1 in y 1.786 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow y 3))))) in y 1.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.790 * [taylor]: Taking taylor expansion of 2 in y 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.790 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow y 3)))) in y 1.791 * [taylor]: Taking taylor expansion of 2 in y 1.791 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow y 3))) in y 1.791 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow y 3)) in y 1.791 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in y 1.791 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.791 * [taylor]: Taking taylor expansion of -1 in y 1.792 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (sqrt -1) in y 1.795 * [taylor]: Taking taylor expansion of -1 in y 1.853 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 1.853 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.853 * [taylor]: Taking taylor expansion of y in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.854 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.858 * [taylor]: Taking taylor expansion of y in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.860 * [taylor]: Taking taylor expansion of y in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.860 * [taylor]: Taking taylor expansion of y in x 1.863 * [taylor]: Taking taylor expansion of 1 in y 1.863 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.863 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.866 * [taylor]: Taking taylor expansion of 1/2 in y 1.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 1.873 * [taylor]: Taking taylor expansion of 1/2 in y 1.873 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.878 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.878 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.878 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.878 * [taylor]: Taking taylor expansion of -1 in y 1.878 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.878 * [taylor]: Taking taylor expansion of x in y 1.878 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.879 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.879 * [taylor]: Taking taylor expansion of x in y 1.882 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.882 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.886 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of -1 in x 1.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of 1 in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.894 * [taylor]: Taking taylor expansion of 1/2 in y 1.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.900 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 1.900 * [taylor]: Taking taylor expansion of 1/2 in y 1.900 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.900 * [taylor]: Taking taylor expansion of y in y 1.911 * * * [progress]: simplifying candidates 1.916 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (- (log (+ x y)) (log (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) 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y) (- (pow x 3) (pow y 3)))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (/ 1 (- x y))) (sqrt (+ x y)) (sqrt (+ x y)) (sqrt (- x y)) 1/2 (sqrt (sqrt (/ (+ x y) (- x y)))) (sqrt (sqrt (/ (+ x y) (- x y)))) -1 1 1 -1 1 1 -1 1 1 (sqrt -1) 1 1 1.989 * * * [progress]: adding candidates to table 2.475 * [progress]: [Phase 3 of 3] Extracting. 2.475 * * [regime]: Finding splitpoints for: (# # #) 2.475 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (- x y)) y x) 2.475 * * * * [regimes]: Trying to branch on (/ (+ x y) (- x y)) from (# # #) 2.490 * * * * [regimes]: Trying to branch on y from (# # #) 2.504 * * * * [regimes]: Trying to branch on x from (# # #) 2.518 * * * [regime]: Found split indices: #