14.469 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x y) (- x y)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (/ (+ x y) (- x y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.034 * [taylor]: Taking taylor expansion of (+ x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (- x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.038 * [taylor]: Taking taylor expansion of (+ x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (- x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.038 * [taylor]: Taking taylor expansion of (+ x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (- x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of -1 in y 0.039 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of 2 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.041 * [taylor]: Taking taylor expansion of 2 in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.068 * [taylor]: Taking taylor expansion of 2 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of 2 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of 2 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.092 * [taylor]: Taking taylor expansion of 2 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.098 * * * [progress]: simplifying candidates 0.099 * [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 0.103 * * [simplify]: iteration 0 : 174 enodes (cost 296 ) 0.107 * * [simplify]: iteration 1 : 526 enodes (cost 282 ) 0.116 * * [simplify]: iteration 2 : 1532 enodes (cost 278 ) 0.143 * * [simplify]: iteration 3 : 5001 enodes (cost 278 ) 0.145 * [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 0.145 * * * [progress]: adding candidates to table 0.225 * * [progress]: iteration 2 / 4 0.225 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.250 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.267 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.295 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.295 * [taylor]: Taking taylor expansion of (+ x y) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (- x y) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.296 * [taylor]: Taking taylor expansion of (+ x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (- x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.296 * [taylor]: Taking taylor expansion of (+ x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (- x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of -1 in y 0.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.297 * [taylor]: Taking taylor expansion of 2 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of 2 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.305 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.305 * [taylor]: Taking taylor expansion of 2 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.311 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of 2 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of 2 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 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.327 * [taylor]: Taking taylor expansion of 2 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.332 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.332 * [taylor]: Taking taylor expansion of -1 in y 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) 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 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 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.335 * [taylor]: Taking taylor expansion of -1 in x 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1 in y 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of 2 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.354 * [taylor]: Taking taylor expansion of 2 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.360 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.360 * [approximate]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in y 0.360 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.360 * [taylor]: Taking taylor expansion of (+ x y) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (- x y) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 0.360 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.360 * [taylor]: Taking taylor expansion of (+ x y) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (- x y) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 0.361 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.361 * [taylor]: Taking taylor expansion of (+ x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (- x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (exp -1) in y 0.361 * [taylor]: Taking taylor expansion of -1 in y 0.363 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) y)) in y 0.363 * [taylor]: Taking taylor expansion of -2 in y 0.363 * [taylor]: Taking taylor expansion of (/ (exp -1) y) in y 0.363 * [taylor]: Taking taylor expansion of (exp -1) in y 0.363 * [taylor]: Taking taylor expansion of -1 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow y 3))) in y 0.372 * [taylor]: Taking taylor expansion of 2/3 in y 0.372 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 3)) in y 0.372 * [taylor]: Taking taylor expansion of (exp -1) in y 0.372 * [taylor]: Taking taylor expansion of -1 in y 0.373 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.382 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.385 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of E in y 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 0.388 * [taylor]: Taking taylor expansion of 2 in y 0.388 * [taylor]: Taking taylor expansion of (/ E y) in y 0.388 * [taylor]: Taking taylor expansion of E in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of 4 in y 0.392 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of E in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 0.400 * [taylor]: Taking taylor expansion of 22/3 in y 0.400 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 0.400 * [taylor]: Taking taylor expansion of E in y 0.400 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.406 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.406 * [taylor]: Taking taylor expansion of -1 in y 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.408 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of E in y 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 0.413 * [taylor]: Taking taylor expansion of 2 in y 0.413 * [taylor]: Taking taylor expansion of (/ E y) in y 0.413 * [taylor]: Taking taylor expansion of E in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of 4 in y 0.418 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of E in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 0.426 * [taylor]: Taking taylor expansion of 22/3 in y 0.426 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 0.426 * [taylor]: Taking taylor expansion of E in y 0.426 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.436 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.437 * [taylor]: Taking taylor expansion of (+ x y) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (- x y) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.437 * [taylor]: Taking taylor expansion of (+ x y) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (- x y) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.437 * [taylor]: Taking taylor expansion of (+ x y) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (- x y) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.438 * [taylor]: Taking taylor expansion of 2 in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of 2 in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.446 * [taylor]: Taking taylor expansion of 2 in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.452 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.457 * [taylor]: Taking taylor expansion of 2 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of 2 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.467 * [taylor]: Taking taylor expansion of 2 in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.467 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.473 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.473 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.473 * [taylor]: Taking taylor expansion of -1 in y 0.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.476 * [taylor]: Taking taylor expansion of -1 in x 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x 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 0.478 * [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 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.491 * [taylor]: Taking taylor expansion of 2 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.497 * * * [progress]: simplifying candidates 0.499 * [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)) (expm1 (exp (/ (+ x y) (- x y)))) (log1p (exp (/ (+ x y) (- x y)))) (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (exp (sqrt (/ (+ x y) (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (sqrt (+ x y)) (sqrt (- x y)))) (exp (/ (sqrt (+ x y)) 1)) (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))) (exp (/ (sqrt (+ x y)) 1)) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt x) (sqrt y)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt x) (sqrt y)))) (exp (/ 1 1)) (exp 1) (exp (+ x y)) (exp (/ (+ x y) (- (pow x 3) (pow y 3)))) (exp (/ (+ x y) (- (* x x) (* y y)))) (log (exp (/ (+ x y) (- x y)))) (exp (exp (/ (+ x y) (- x y)))) (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y))))) (cbrt (exp (/ (+ x y) (- x y)))) (* (* (exp (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y)))) (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (expm1 (log (exp (/ (+ x y) (- x y))))) (log1p (log (exp (/ (+ x y) (- x y))))) (log (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y)))))) (log (cbrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log 1) (log (exp (/ (+ x y) (- x y)))) (log (exp (/ (+ x y) (- x y)))) (log (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))))) (log (exp (sqrt (/ (+ x y) (- x y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (log (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ (sqrt (+ x y)) (sqrt (- x y))))) (log (exp (/ (sqrt (+ x y)) 1))) (log (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))))) (log (exp (/ (sqrt (+ x y)) 1))) (log (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ 1 (sqrt (- x y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt x) (sqrt y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ 1 (sqrt (- x y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt x) (sqrt y))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (+ x y))) (log (exp (/ (+ x y) (- (pow x 3) (pow y 3))))) (log (exp (/ (+ x y) (- (* x x) (* y y))))) (log (log (exp (/ (+ x y) (- x y))))) (exp (log (exp (/ (+ x y) (- x y))))) (* (cbrt (log (exp (/ (+ x y) (- x y))))) (cbrt (log (exp (/ (+ x y) (- x y)))))) (cbrt (log (exp (/ (+ x y) (- x y))))) (* (* (log (exp (/ (+ x y) (- x y)))) (log (exp (/ (+ x y) (- x y))))) (log (exp (/ (+ x y) (- x y))))) (sqrt (log (exp (/ (+ x y) (- x y))))) (sqrt (log (exp (/ (+ x y) (- x y))))) -1 1 1 (exp -1) E E -1 1 1 0.505 * * [simplify]: iteration 0 : 244 enodes (cost 686 ) 0.509 * * [simplify]: iteration 1 : 627 enodes (cost 649 ) 0.518 * * [simplify]: iteration 2 : 1742 enodes (cost 640 ) 0.544 * * [simplify]: iteration 3 : 5001 enodes (cost 637 ) 0.548 * [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)) (expm1 (exp (/ (+ x y) (- x y)))) (log1p (exp (/ (+ x y) (- x y)))) (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (exp (sqrt (/ (+ x y) (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y)))) (pow (exp (cbrt (+ x y))) (cbrt (+ x y))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y)))) (pow (exp (cbrt (+ x y))) (cbrt (+ x y))) (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (sqrt (+ x y)) (sqrt (- x y)))) (exp (sqrt (+ x y))) (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))) (exp (sqrt (+ x y))) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) E (exp (/ 1 (+ (sqrt x) (sqrt y)))) E (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) E (exp (/ 1 (+ (sqrt x) (sqrt y)))) E E (exp (+ x y)) (exp (/ (+ x y) (- (pow x 3) (pow y 3)))) (pow E (/ 1 (- x y))) (/ (+ x y) (- x y)) (exp (exp (/ (+ x y) (- x y)))) (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y))))) (cbrt (exp (/ (+ x y) (- x y)))) (pow (exp (/ (+ x y) (- x y))) 3) (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (* 2 (log (cbrt (exp (/ (+ x y) (- x y)))))) (log (cbrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) 0 (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (sqrt (/ (+ x y) (- 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)) (cbrt (+ x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt x) (sqrt y))) 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt x) (sqrt y))) 1 1 (+ x y) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- 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))) -1 1 1 (exp -1) E E -1 1 1 0.548 * * * [progress]: adding candidates to table 0.793 * * [progress]: iteration 3 / 4 0.793 * * * [progress]: picking best candidate 0.801 * * * * [pick]: Picked # 0.801 * * * [progress]: localizing error 0.810 * * * [progress]: generating rewritten candidates 0.810 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.824 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.841 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.865 * * * [progress]: generating series expansions 0.865 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.866 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.866 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.866 * [taylor]: Taking taylor expansion of (+ x y) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (- x y) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.867 * [taylor]: Taking taylor expansion of (+ x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (- x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.867 * [taylor]: Taking taylor expansion of (+ x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (- x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of -1 in y 0.868 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.869 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.871 * [taylor]: Taking taylor expansion of 2 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.876 * [taylor]: Taking taylor expansion of 2 in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.876 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.882 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.883 * [taylor]: Taking taylor expansion of x in y 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.883 * [taylor]: Taking taylor expansion of x in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of 1 in y 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.888 * [taylor]: Taking taylor expansion of 2 in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.892 * [taylor]: Taking taylor expansion of 2 in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.903 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.909 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.909 * [taylor]: Taking taylor expansion of -1 in y 0.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.910 * [taylor]: Taking taylor expansion of -1 in x 0.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.912 * [taylor]: Taking taylor expansion of -1 in x 0.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of 1 in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of 2 in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.927 * [taylor]: Taking taylor expansion of 2 in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.933 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.933 * [approximate]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in (x y) around 0 0.933 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in y 0.933 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.933 * [taylor]: Taking taylor expansion of (+ x y) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (- x y) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 0.933 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.934 * [taylor]: Taking taylor expansion of (+ x y) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (- x y) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 0.934 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.934 * [taylor]: Taking taylor expansion of (+ x y) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (- x y) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (exp -1) in y 0.934 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) y)) in y 0.936 * [taylor]: Taking taylor expansion of -2 in y 0.936 * [taylor]: Taking taylor expansion of (/ (exp -1) y) in y 0.936 * [taylor]: Taking taylor expansion of (exp -1) in y 0.936 * [taylor]: Taking taylor expansion of -1 in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow y 3))) in y 0.946 * [taylor]: Taking taylor expansion of 2/3 in y 0.946 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 3)) in y 0.946 * [taylor]: Taking taylor expansion of (exp -1) in y 0.946 * [taylor]: Taking taylor expansion of -1 in y 0.946 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.955 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.955 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 0.955 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.955 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 0.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of E in y 0.961 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 0.961 * [taylor]: Taking taylor expansion of 2 in y 0.961 * [taylor]: Taking taylor expansion of (/ E y) in y 0.961 * [taylor]: Taking taylor expansion of E in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of 4 in y 0.966 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of E in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 0.973 * [taylor]: Taking taylor expansion of 22/3 in y 0.973 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 0.973 * [taylor]: Taking taylor expansion of E in y 0.973 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.985 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.985 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.985 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.985 * [taylor]: Taking taylor expansion of -1 in y 0.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.985 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.987 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.989 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.989 * [taylor]: Taking taylor expansion of -1 in x 0.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of E in y 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 0.993 * [taylor]: Taking taylor expansion of 2 in y 0.993 * [taylor]: Taking taylor expansion of (/ E y) in y 0.993 * [taylor]: Taking taylor expansion of E in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of 4 in y 0.998 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of E in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 1.006 * [taylor]: Taking taylor expansion of 22/3 in y 1.006 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 1.006 * [taylor]: Taking taylor expansion of E in y 1.006 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.012 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.013 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.013 * [taylor]: Taking taylor expansion of (+ x y) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (- x y) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.013 * [taylor]: Taking taylor expansion of (+ x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (- x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.013 * [taylor]: Taking taylor expansion of (+ x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (- x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of -1 in y 1.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.014 * [taylor]: Taking taylor expansion of 2 in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.017 * [taylor]: Taking taylor expansion of 2 in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.022 * [taylor]: Taking taylor expansion of 2 in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.022 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.028 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of 1 in y 1.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.034 * [taylor]: Taking taylor expansion of 2 in y 1.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.038 * [taylor]: Taking taylor expansion of 2 in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.045 * [taylor]: Taking taylor expansion of 2 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.050 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.050 * [taylor]: Taking taylor expansion of -1 in y 1.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of 1 in y 1.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.057 * [taylor]: Taking taylor expansion of 2 in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.062 * [taylor]: Taking taylor expansion of 2 in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.075 * [taylor]: Taking taylor expansion of 2 in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.080 * * * [progress]: simplifying candidates 1.082 * [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)) (expm1 (exp (/ (+ x y) (- x y)))) (log1p (exp (/ (+ x y) (- x y)))) (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (exp (sqrt (/ (+ x y) (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (sqrt (+ x y)) (sqrt (- x y)))) (exp (/ (sqrt (+ x y)) 1)) (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))) (exp (/ (sqrt (+ x y)) 1)) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt x) (sqrt y)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt x) (sqrt y)))) (exp (/ 1 1)) (exp 1) (exp (+ x y)) (exp (/ (+ x y) (- (pow x 3) (pow y 3)))) (exp (/ (+ x y) (- (* x x) (* y y)))) (log (exp (/ (+ x y) (- x y)))) (exp (exp (/ (+ x y) (- x y)))) (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y))))) (cbrt (exp (/ (+ x y) (- x y)))) (* (* (exp (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y)))) (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (expm1 (log (exp (/ (+ x y) (- x y))))) (log1p (log (exp (/ (+ x y) (- x y))))) (log (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y)))))) (log (cbrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log 1) (log (exp (/ (+ x y) (- x y)))) (log (exp (/ (+ x y) (- x y)))) (log (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))))) (log (exp (sqrt (/ (+ x y) (- x y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))))) (log (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (log (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ (sqrt (+ x y)) (sqrt (- x y))))) (log (exp (/ (sqrt (+ x y)) 1))) (log (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))))) (log (exp (/ (sqrt (+ x y)) 1))) (log (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ 1 (sqrt (- x y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt x) (sqrt y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))) (log (exp (/ 1 (sqrt (- x y))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt x) (sqrt y))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (+ x y))) (log (exp (/ (+ x y) (- (pow x 3) (pow y 3))))) (log (exp (/ (+ x y) (- (* x x) (* y y))))) (log (log (exp (/ (+ x y) (- x y))))) (exp (log (exp (/ (+ x y) (- x y))))) (* (cbrt (log (exp (/ (+ x y) (- x y))))) (cbrt (log (exp (/ (+ x y) (- x y)))))) (cbrt (log (exp (/ (+ x y) (- x y))))) (* (* (log (exp (/ (+ x y) (- x y)))) (log (exp (/ (+ x y) (- x y))))) (log (exp (/ (+ x y) (- x y))))) (sqrt (log (exp (/ (+ x y) (- x y))))) (sqrt (log (exp (/ (+ x y) (- x y))))) -1 1 1 (exp -1) E E -1 1 1 1.087 * * [simplify]: iteration 0 : 244 enodes (cost 686 ) 1.091 * * [simplify]: iteration 1 : 627 enodes (cost 649 ) 1.100 * * [simplify]: iteration 2 : 1742 enodes (cost 640 ) 1.125 * * [simplify]: iteration 3 : 5001 enodes (cost 637 ) 1.129 * [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)) (expm1 (exp (/ (+ x y) (- x y)))) (log1p (exp (/ (+ x y) (- x y)))) (exp (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (exp (sqrt (/ (+ x y) (- x y)))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y)))) (pow (exp (cbrt (+ x y))) (cbrt (+ x y))) (exp (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y)))) (pow (exp (cbrt (+ x y))) (cbrt (+ x y))) (exp (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ (sqrt (+ x y)) (sqrt (- x y)))) (exp (sqrt (+ x y))) (exp (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))) (exp (sqrt (+ x y))) (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) E (exp (/ 1 (+ (sqrt x) (sqrt y)))) E (exp (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (exp (/ 1 (sqrt (- x y)))) E (exp (/ 1 (+ (sqrt x) (sqrt y)))) E E (exp (+ x y)) (exp (/ (+ x y) (- (pow x 3) (pow y 3)))) (pow E (/ 1 (- x y))) (/ (+ x y) (- x y)) (exp (exp (/ (+ x y) (- x y)))) (* (cbrt (exp (/ (+ x y) (- x y)))) (cbrt (exp (/ (+ x y) (- x y))))) (cbrt (exp (/ (+ x y) (- x y)))) (pow (exp (/ (+ x y) (- x y))) 3) (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (* 2 (log (cbrt (exp (/ (+ x y) (- x y)))))) (log (cbrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) (log (sqrt (exp (/ (+ x y) (- x y))))) 0 (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (sqrt (/ (+ x y) (- 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)) (cbrt (+ x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt x) (sqrt y))) 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt x) (sqrt y))) 1 1 (+ x y) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- 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))) -1 1 1 (exp -1) E E -1 1 1 1.129 * * * [progress]: adding candidates to table 1.387 * * [progress]: iteration 4 / 4 1.387 * * * [progress]: picking best candidate 1.394 * * * * [pick]: Picked # 1.394 * * * [progress]: localizing error 1.407 * * * [progress]: generating rewritten candidates 1.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.418 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.419 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.421 * * * [progress]: generating series expansions 1.421 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.421 * [approximate]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in (x y) around 0 1.421 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in y 1.421 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.421 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in y 1.421 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.421 * [taylor]: Taking taylor expansion of (+ x y) in y 1.421 * [taylor]: Taking taylor expansion of x in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of (- x y) in y 1.421 * [taylor]: Taking taylor expansion of x in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of 1 in y 1.422 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.422 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.422 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.422 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.422 * [taylor]: Taking taylor expansion of (+ x y) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of (- x y) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of 1 in x 1.422 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.423 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.423 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.423 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.423 * [taylor]: Taking taylor expansion of (+ x y) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [taylor]: Taking taylor expansion of (- x y) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [taylor]: Taking taylor expansion of 1 in x 1.424 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in y 1.424 * [taylor]: Taking taylor expansion of (exp -1) in y 1.424 * [taylor]: Taking taylor expansion of -1 in y 1.424 * [taylor]: Taking taylor expansion of 1 in y 1.427 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) y))) in y 1.427 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) y)) in y 1.427 * [taylor]: Taking taylor expansion of 2 in y 1.427 * [taylor]: Taking taylor expansion of (/ (exp -1) y) in y 1.427 * [taylor]: Taking taylor expansion of (exp -1) in y 1.427 * [taylor]: Taking taylor expansion of -1 in y 1.427 * [taylor]: Taking taylor expansion of y in y 1.433 * [taylor]: Taking taylor expansion of 0 in y 1.439 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow y 3))) in y 1.439 * [taylor]: Taking taylor expansion of 2/3 in y 1.439 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 3)) in y 1.439 * [taylor]: Taking taylor expansion of (exp -1) in y 1.439 * [taylor]: Taking taylor expansion of -1 in y 1.439 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.439 * [taylor]: Taking taylor expansion of y in y 1.453 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 1.453 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.453 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.453 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.455 * [taylor]: Taking taylor expansion of 1 in y 1.455 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.455 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.455 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.456 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.456 * [taylor]: Taking taylor expansion of y in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.456 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of 1 in x 1.457 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.457 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.457 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.458 * [taylor]: Taking taylor expansion of y in x 1.459 * [taylor]: Taking taylor expansion of 1 in x 1.459 * [taylor]: Taking taylor expansion of (- E 1) in y 1.459 * [taylor]: Taking taylor expansion of E in y 1.459 * [taylor]: Taking taylor expansion of 1 in y 1.461 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 1.461 * [taylor]: Taking taylor expansion of 2 in y 1.461 * [taylor]: Taking taylor expansion of (/ E y) in y 1.461 * [taylor]: Taking taylor expansion of E in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.466 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 1.466 * [taylor]: Taking taylor expansion of 4 in y 1.466 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.466 * [taylor]: Taking taylor expansion of E in y 1.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.466 * [taylor]: Taking taylor expansion of y in y 1.474 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 1.474 * [taylor]: Taking taylor expansion of 22/3 in y 1.474 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 1.474 * [taylor]: Taking taylor expansion of E in y 1.474 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.480 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.480 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.481 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.481 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.481 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.481 * [taylor]: Taking taylor expansion of -1 in y 1.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.481 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.483 * [taylor]: Taking taylor expansion of 1 in y 1.483 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.483 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.483 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.483 * [taylor]: Taking taylor expansion of y in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.483 * [taylor]: Taking taylor expansion of y in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1 in x 1.485 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.485 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.485 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.485 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.485 * [taylor]: Taking taylor expansion of -1 in x 1.485 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of 1 in x 1.487 * [taylor]: Taking taylor expansion of (- E 1) in y 1.487 * [taylor]: Taking taylor expansion of E in y 1.487 * [taylor]: Taking taylor expansion of 1 in y 1.490 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 1.490 * [taylor]: Taking taylor expansion of 2 in y 1.490 * [taylor]: Taking taylor expansion of (/ E y) in y 1.490 * [taylor]: Taking taylor expansion of E in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.496 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 1.496 * [taylor]: Taking taylor expansion of 4 in y 1.496 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.496 * [taylor]: Taking taylor expansion of E in y 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.496 * [taylor]: Taking taylor expansion of y in y 1.505 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 1.505 * [taylor]: Taking taylor expansion of 22/3 in y 1.505 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 1.505 * [taylor]: Taking taylor expansion of E in y 1.505 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.511 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 1.511 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.511 * [taylor]: Taking taylor expansion of (+ x y) in y 1.511 * [taylor]: Taking taylor expansion of x in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of (- x y) in y 1.511 * [taylor]: Taking taylor expansion of x in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.512 * [taylor]: Taking taylor expansion of (+ x y) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (- x y) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.512 * [taylor]: Taking taylor expansion of (+ x y) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (- x y) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of -1 in y 1.513 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.513 * [taylor]: Taking taylor expansion of 2 in y 1.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.515 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.515 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.515 * [taylor]: Taking taylor expansion of 2 in y 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.520 * [taylor]: Taking taylor expansion of 2 in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.520 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.526 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.527 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.529 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.529 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.529 * [taylor]: Taking taylor expansion of y in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.530 * [taylor]: Taking taylor expansion of y in x 1.536 * [taylor]: Taking taylor expansion of 1 in y 1.537 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.537 * [taylor]: Taking taylor expansion of 2 in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.541 * [taylor]: Taking taylor expansion of 2 in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.548 * [taylor]: Taking taylor expansion of 2 in y 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.548 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.554 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.554 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.554 * [taylor]: Taking taylor expansion of -1 in y 1.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.554 * [taylor]: Taking taylor expansion of x in y 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.555 * [taylor]: Taking taylor expansion of -1 in x 1.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.557 * [taylor]: Taking taylor expansion of -1 in x 1.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of 1 in y 1.561 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.561 * [taylor]: Taking taylor expansion of 2 in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.565 * [taylor]: Taking taylor expansion of 2 in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.572 * [taylor]: Taking taylor expansion of 2 in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.578 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ x y) (- x y))))) in (x y) around 0 1.578 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ x y) (- x y))))) in y 1.578 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in y 1.578 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.578 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in y 1.578 * [taylor]: Taking taylor expansion of 1 in y 1.578 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in y 1.579 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.579 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in y 1.579 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.579 * [taylor]: Taking taylor expansion of (+ x y) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.579 * [taylor]: Taking taylor expansion of (- x y) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.579 * [taylor]: Taking taylor expansion of 1 in y 1.580 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ x y) (- x y))))) in x 1.580 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in x 1.580 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.580 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in x 1.580 * [taylor]: Taking taylor expansion of 1 in x 1.580 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.581 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.581 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.581 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.581 * [taylor]: Taking taylor expansion of (+ x y) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of (- x y) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of 1 in x 1.583 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ x y) (- x y))))) in x 1.583 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in x 1.583 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.584 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in x 1.584 * [taylor]: Taking taylor expansion of 1 in x 1.584 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.584 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.584 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.584 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.584 * [taylor]: Taking taylor expansion of (+ x y) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of y in x 1.584 * [taylor]: Taking taylor expansion of (- x y) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of y in x 1.584 * [taylor]: Taking taylor expansion of 1 in x 1.586 * [taylor]: Taking taylor expansion of (exp -1) in y 1.587 * [taylor]: Taking taylor expansion of -1 in y 1.590 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) y)) in y 1.590 * [taylor]: Taking taylor expansion of -2 in y 1.590 * [taylor]: Taking taylor expansion of (/ (exp -1) y) in y 1.590 * [taylor]: Taking taylor expansion of (exp -1) in y 1.590 * [taylor]: Taking taylor expansion of -1 in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow y 3))) in y 1.608 * [taylor]: Taking taylor expansion of 2/3 in y 1.608 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 3)) in y 1.608 * [taylor]: Taking taylor expansion of (exp -1) in y 1.608 * [taylor]: Taking taylor expansion of -1 in y 1.608 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.623 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) in (x y) around 0 1.623 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) in y 1.623 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.623 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.623 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.623 * [taylor]: Taking taylor expansion of 1 in y 1.623 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.623 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.623 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.623 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.625 * [taylor]: Taking taylor expansion of 1 in y 1.628 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) in x 1.628 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.628 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.628 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.628 * [taylor]: Taking taylor expansion of 1 in x 1.628 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.628 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.628 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.628 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.629 * [taylor]: Taking taylor expansion of 1 in x 1.630 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) in x 1.630 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.630 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.630 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.630 * [taylor]: Taking taylor expansion of 1 in x 1.630 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.631 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.631 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.631 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.631 * [taylor]: Taking taylor expansion of y in x 1.631 * [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 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 in x 1.633 * [taylor]: Taking taylor expansion of E in y 1.635 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 1.635 * [taylor]: Taking taylor expansion of 2 in y 1.635 * [taylor]: Taking taylor expansion of (/ E y) in y 1.635 * [taylor]: Taking taylor expansion of E in y 1.635 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 1.641 * [taylor]: Taking taylor expansion of 4 in y 1.641 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.641 * [taylor]: Taking taylor expansion of E in y 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 1.651 * [taylor]: Taking taylor expansion of 22/3 in y 1.651 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 1.651 * [taylor]: Taking taylor expansion of E in y 1.651 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.657 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) in (x y) around 0 1.657 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) in y 1.657 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.657 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.657 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.657 * [taylor]: Taking taylor expansion of 1 in y 1.657 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.657 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.657 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.657 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.657 * [taylor]: Taking taylor expansion of -1 in y 1.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.658 * [taylor]: Taking taylor expansion of x in y 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.658 * [taylor]: Taking taylor expansion of x in y 1.660 * [taylor]: Taking taylor expansion of 1 in y 1.662 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) in x 1.662 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.662 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.662 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.662 * [taylor]: Taking taylor expansion of 1 in x 1.662 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.662 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.662 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.662 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.662 * [taylor]: Taking taylor expansion of y in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of 1 in x 1.665 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) in x 1.665 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.665 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.665 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.665 * [taylor]: Taking taylor expansion of 1 in x 1.665 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.666 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.666 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.666 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.666 * [taylor]: Taking taylor expansion of -1 in x 1.666 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of 1 in x 1.669 * [taylor]: Taking taylor expansion of E in y 1.671 * [taylor]: Taking taylor expansion of (* 2 (/ E y)) in y 1.671 * [taylor]: Taking taylor expansion of 2 in y 1.671 * [taylor]: Taking taylor expansion of (/ E y) in y 1.671 * [taylor]: Taking taylor expansion of E in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow y 2))) in y 1.677 * [taylor]: Taking taylor expansion of 4 in y 1.677 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of E in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow y 3))) in y 1.688 * [taylor]: Taking taylor expansion of 22/3 in y 1.689 * [taylor]: Taking taylor expansion of (/ E (pow y 3)) in y 1.689 * [taylor]: Taking taylor expansion of E in y 1.689 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.694 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.695 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in (x y) around 0 1.695 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in y 1.695 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.695 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in y 1.695 * [taylor]: Taking taylor expansion of 1 in y 1.695 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in y 1.695 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.695 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in y 1.695 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 1.695 * [taylor]: Taking taylor expansion of (+ x y) in y 1.695 * [taylor]: Taking taylor expansion of x in y 1.695 * [taylor]: Taking taylor expansion of y in y 1.695 * [taylor]: Taking taylor expansion of (- x y) in y 1.695 * [taylor]: Taking taylor expansion of x in y 1.695 * [taylor]: Taking taylor expansion of y in y 1.695 * [taylor]: Taking taylor expansion of 1 in y 1.696 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in x 1.697 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.697 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in x 1.697 * [taylor]: Taking taylor expansion of 1 in x 1.697 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.697 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.697 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.697 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.697 * [taylor]: Taking taylor expansion of (+ x y) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of y in x 1.697 * [taylor]: Taking taylor expansion of (- x y) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of y in x 1.697 * [taylor]: Taking taylor expansion of 1 in x 1.699 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ x y) (- x y)))) in x 1.699 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ x y) (- x y))))) 1.699 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ x y) (- x y)))) in x 1.699 * [taylor]: Taking taylor expansion of 1 in x 1.699 * [taylor]: Taking taylor expansion of (expm1 (/ (+ x y) (- x y))) in x 1.700 * [taylor]: Rewrote expression to (- (exp (/ (+ x y) (- x y))) 1) 1.700 * [taylor]: Taking taylor expansion of (exp (/ (+ x y) (- x y))) in x 1.700 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 1.700 * [taylor]: Taking taylor expansion of (+ x y) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of y in x 1.700 * [taylor]: Taking taylor expansion of (- x y) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of y in x 1.700 * [taylor]: Taking taylor expansion of 1 in x 1.702 * [taylor]: Taking taylor expansion of -1 in y 1.711 * [taylor]: Taking taylor expansion of (/ -2 y) in y 1.712 * [taylor]: Taking taylor expansion of -2 in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (/ -2 (pow y 2)) in y 1.717 * [taylor]: Taking taylor expansion of -2 in y 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.717 * [taylor]: Taking taylor expansion of y in y 1.726 * [taylor]: Taking taylor expansion of (/ -2 (pow y 3)) in y 1.726 * [taylor]: Taking taylor expansion of -2 in y 1.726 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.726 * [taylor]: Taking taylor expansion of y in y 1.732 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in (x y) around 0 1.732 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.732 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.732 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in y 1.732 * [taylor]: Taking taylor expansion of 1 in y 1.732 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.732 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.732 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in y 1.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of 1 in y 1.736 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.736 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.736 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.736 * [taylor]: Taking taylor expansion of 1 in x 1.736 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.736 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.736 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.736 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.736 * [taylor]: Taking taylor expansion of y in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.737 * [taylor]: Taking taylor expansion of y in x 1.738 * [taylor]: Taking taylor expansion of 1 in x 1.739 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.739 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))))) 1.739 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))))) in x 1.739 * [taylor]: Taking taylor expansion of 1 in x 1.739 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.739 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) 1) 1.739 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y)))) in x 1.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.739 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of 1 in x 1.742 * [taylor]: Taking taylor expansion of 1 in y 1.744 * [taylor]: Taking taylor expansion of (/ 2 y) in y 1.744 * [taylor]: Taking taylor expansion of 2 in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.749 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 1.749 * [taylor]: Taking taylor expansion of 2 in y 1.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.749 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of (/ 2 (pow y 3)) in y 1.757 * [taylor]: Taking taylor expansion of 2 in y 1.757 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.763 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in (x y) around 0 1.763 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.763 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.763 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in y 1.763 * [taylor]: Taking taylor expansion of 1 in y 1.763 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.763 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.763 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.763 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.763 * [taylor]: Taking taylor expansion of -1 in y 1.763 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.766 * [taylor]: Taking taylor expansion of 1 in y 1.768 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.768 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.768 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.768 * [taylor]: Taking taylor expansion of 1 in x 1.768 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.768 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.768 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.768 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.768 * [taylor]: Taking taylor expansion of -1 in x 1.768 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.768 * [taylor]: Taking taylor expansion of y in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.768 * [taylor]: Taking taylor expansion of y in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of 1 in x 1.771 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.771 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))))) 1.771 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))) in x 1.771 * [taylor]: Taking taylor expansion of 1 in x 1.772 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.772 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 1) 1.772 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.772 * [taylor]: Taking taylor expansion of -1 in x 1.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.772 * [taylor]: Taking taylor expansion of y in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.772 * [taylor]: Taking taylor expansion of y in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of 1 in x 1.775 * [taylor]: Taking taylor expansion of 1 in y 1.777 * [taylor]: Taking taylor expansion of (/ 2 y) in y 1.777 * [taylor]: Taking taylor expansion of 2 in y 1.777 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of 2 in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.792 * [taylor]: Taking taylor expansion of (/ 2 (pow y 3)) in y 1.792 * [taylor]: Taking taylor expansion of 2 in y 1.792 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.803 * * * [progress]: simplifying candidates 1.804 * [simplify]: Simplifying using # : (exp (/ (+ x y) (- x y))) (expm1 (expm1 (/ (+ x y) (- x y)))) (log1p (expm1 (/ (+ x y) (- x y)))) (log (expm1 (/ (+ x y) (- x y)))) (exp (expm1 (/ (+ x y) (- x y)))) (* (cbrt (expm1 (/ (+ x y) (- x y)))) (cbrt (expm1 (/ (+ x y) (- x y))))) (cbrt (expm1 (/ (+ x y) (- x y)))) (* (* (expm1 (/ (+ x y) (- x y))) (expm1 (/ (+ x y) (- x y)))) (expm1 (/ (+ x y) (- x y)))) (sqrt (expm1 (/ (+ x y) (- x y)))) (sqrt (expm1 (/ (+ 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)) (expm1 (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (log1p (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (exp (* (cbrt (log1p (expm1 (/ (+ x y) (- x y))))) (cbrt (log1p (expm1 (/ (+ x y) (- x y))))))) (exp (sqrt (log1p (expm1 (/ (+ x y) (- x y)))))) (exp 1) (log (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (exp (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (* (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y))))))) (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (* (* (exp (log1p (expm1 (/ (+ x y) (- x y))))) (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (sqrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (sqrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (+ 1 (expm1 (/ (+ x y) (- x y)))) (expm1 (log1p (expm1 (/ (+ x y) (- x y))))) (log1p (log1p (expm1 (/ (+ x y) (- x y))))) (log (log1p (expm1 (/ (+ x y) (- x y))))) (exp (log1p (expm1 (/ (+ x y) (- x y))))) (* (cbrt (log1p (expm1 (/ (+ x y) (- x y))))) (cbrt (log1p (expm1 (/ (+ x y) (- x y)))))) (cbrt (log1p (expm1 (/ (+ x y) (- x y))))) (* (* (log1p (expm1 (/ (+ x y) (- x y)))) (log1p (expm1 (/ (+ x y) (- x y))))) (log1p (expm1 (/ (+ x y) (- x y))))) (sqrt (log1p (expm1 (/ (+ x y) (- x y))))) (sqrt (log1p (expm1 (/ (+ x y) (- x y))))) (- (exp -1) 1) (- E 1) (- E 1) -1 1 1 (exp -1) E E -1 1 1 1.809 * * [simplify]: iteration 0 : 221 enodes (cost 511 ) 1.813 * * [simplify]: iteration 1 : 598 enodes (cost 471 ) 1.822 * * [simplify]: iteration 2 : 1627 enodes (cost 467 ) 1.849 * * [simplify]: iteration 3 : 5001 enodes (cost 467 ) 1.852 * [simplify]: Simplified to: (exp (/ (+ x y) (- x y))) (expm1 (expm1 (/ (+ x y) (- x y)))) (/ (+ x y) (- x y)) (log (expm1 (/ (+ x y) (- x y)))) (exp (expm1 (/ (+ x y) (- x y)))) (* (cbrt (expm1 (/ (+ x y) (- x y)))) (cbrt (expm1 (/ (+ x y) (- x y))))) (cbrt (expm1 (/ (+ x y) (- x y)))) (pow (expm1 (/ (+ x y) (- x y))) 3) (sqrt (expm1 (/ (+ x y) (- x y)))) (sqrt (expm1 (/ (+ 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)) (expm1 (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (log1p (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (exp (* (cbrt (log1p (expm1 (/ (+ x y) (- x y))))) (cbrt (log1p (expm1 (/ (+ x y) (- x y))))))) (exp (sqrt (log1p (expm1 (/ (+ x y) (- x y)))))) E (/ (+ x y) (- x y)) (exp (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (* (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y))))))) (cbrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (pow (exp (/ (+ x y) (- x y))) 3) (sqrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (sqrt (exp (log1p (expm1 (/ (+ x y) (- x y)))))) (+ 1 (expm1 (/ (+ 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))) (expm1 -1) (- E 1) (- E 1) -1 1 1 (exp -1) E E -1 1 1 1.852 * * * [progress]: adding candidates to table 2.086 * [progress]: [Phase 3 of 3] Extracting. 2.086 * * [regime]: Finding splitpoints for: (# # # #) 2.087 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (- x y)) y x) 2.087 * * * * [regimes]: Trying to branch on (/ (+ x y) (- x y)) from (# # # #) 2.101 * * * * [regimes]: Trying to branch on y from (# # # #) 2.122 * * * * [regimes]: Trying to branch on x from (# # # #) 2.139 * * * [regime]: Found split indices: #