12.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ x y)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.064 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.071 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.074 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.079 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.097 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.143 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.145 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.145 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.198 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.199 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.205 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.206 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.206 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.206 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.206 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.206 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (+ x y) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.210 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.210 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.210 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.210 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.210 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.210 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.211 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.211 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.211 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.211 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.211 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.211 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ x y) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of 1 in x 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.219 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.219 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.219 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.219 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.219 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.219 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.219 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.221 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.221 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.221 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.221 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.221 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.221 * [taylor]: Taking taylor expansion of 1 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.221 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.224 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.224 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.224 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.224 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.224 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.224 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.249 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.250 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.250 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.250 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.250 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.250 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.250 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.251 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.252 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.252 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.252 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.252 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1 in x 0.255 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.255 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.255 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.255 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.255 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.255 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.255 * [taylor]: Taking taylor expansion of 1 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.255 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.259 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.280 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.280 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.280 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.280 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (+ x y) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.281 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.281 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (+ x y) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.282 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.282 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (+ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of -3/2 in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.288 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.288 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.288 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.288 * [taylor]: Taking taylor expansion of 1 in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.288 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.290 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.290 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.292 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.292 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (log 2) in y 0.298 * [taylor]: Taking taylor expansion of 2 in y 0.300 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.300 * [taylor]: Taking taylor expansion of -1/2 in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of 3/8 in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.313 * [taylor]: Taking taylor expansion of -7/24 in y 0.313 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.319 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.319 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.319 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.319 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.320 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.320 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.320 * [taylor]: Taking taylor expansion of 1 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.323 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.323 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (log 2) in y 0.325 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.328 * [taylor]: Taking taylor expansion of -1/2 in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 3/8 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.341 * [taylor]: Taking taylor expansion of -7/24 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.346 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.346 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (+ x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.358 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.358 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.359 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.361 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.372 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.372 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1 in y 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.388 * * * [progress]: simplifying candidates 0.388 * [simplify]: Simplifying using # : (exp (log1p (/ x (+ x y)))) (expm1 (expm1 (log1p (/ x (+ x y))))) (log1p (expm1 (log1p (/ x (+ x y))))) (log (expm1 (log1p (/ x (+ x y))))) (exp (expm1 (log1p (/ x (+ x y))))) (* (cbrt (expm1 (log1p (/ x (+ x y))))) (cbrt (expm1 (log1p (/ x (+ x y)))))) (cbrt (expm1 (log1p (/ x (+ x y))))) (* (* (expm1 (log1p (/ x (+ x y)))) (expm1 (log1p (/ x (+ x y))))) (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (+ 1 (/ x (+ x y))) (expm1 (log1p (/ x (+ x y)))) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (* (* (log1p (/ x (+ x y))) (log1p (/ x (+ x y)))) (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 1 1 0 (log 2) (log 2) 0 0 0 0.392 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.396 * * [simplify]: iteration 1 : 426 enodes (cost 229 ) 0.401 * * [simplify]: iteration 2 : 1102 enodes (cost 229 ) 0.420 * * [simplify]: iteration 3 : 3875 enodes (cost 229 ) 0.467 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.469 * [simplify]: Simplified to: (exp (log1p (/ x (+ x y)))) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (+ 1 (/ x (+ x y))) (/ x (+ x y)) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (pow (log1p (/ x (+ x y))) 3) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 1 1 0 (log 2) (log 2) 0 0 0 0.469 * * * [progress]: adding candidates to table 0.566 * * [progress]: iteration 3 / 4 0.566 * * * [progress]: picking best candidate 0.568 * * * * [pick]: Picked # 0.568 * * * [progress]: localizing error 0.573 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.579 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.603 * * * [progress]: generating series expansions 0.603 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.603 * [approximate]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in y 0.603 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.603 * [taylor]: Taking taylor expansion of (+ x y) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.605 * [taylor]: Taking taylor expansion of (+ x y) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.607 * [taylor]: Taking taylor expansion of (+ x y) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.608 * [taylor]: Taking taylor expansion of +nan.0 in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2)))))) in y 0.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2))))) in y 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.612 * [taylor]: Taking taylor expansion of +nan.0 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of +nan.0 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.618 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in y 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.625 * [taylor]: Taking taylor expansion of +nan.0 in y 0.629 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.629 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.629 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of +nan.0 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.630 * [taylor]: Taking taylor expansion of +nan.0 in y 0.632 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.632 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in y 0.632 * [taylor]: Taking taylor expansion of -1 in y 0.632 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in y 0.632 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.632 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.632 * [taylor]: Taking taylor expansion of -1 in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.633 * [taylor]: Taking taylor expansion of -1 in x 0.633 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.633 * [taylor]: Taking taylor expansion of -1 in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of +nan.0 in y 0.642 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.642 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.642 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.642 * [taylor]: Taking taylor expansion of +nan.0 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.642 * [taylor]: Taking taylor expansion of +nan.0 in y 0.650 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.650 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.650 * [taylor]: Taking taylor expansion of +nan.0 in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.651 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.651 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.651 * [taylor]: Taking taylor expansion of +nan.0 in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.651 * [taylor]: Taking taylor expansion of +nan.0 in y 0.659 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.659 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.659 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (+ x y) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (+ x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ x y) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.664 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.671 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.671 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.671 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.672 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.674 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of 1 in y 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.689 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.689 * [taylor]: Taking taylor expansion of -1 in y 0.689 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.689 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.689 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.690 * [taylor]: Taking taylor expansion of -1 in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of +nan.0 in y 0.701 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.701 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of +nan.0 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.701 * [taylor]: Taking taylor expansion of +nan.0 in y 0.710 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.710 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.711 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.711 * [taylor]: Taking taylor expansion of +nan.0 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.711 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.711 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of +nan.0 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.711 * [taylor]: Taking taylor expansion of +nan.0 in y 0.719 * * * [progress]: simplifying candidates 0.721 * [simplify]: Simplifying using # : (expm1 (/ (sqrt x) (+ x y))) (log1p (/ (sqrt x) (+ x y))) (- (log (sqrt x)) (log (+ x y))) (log (/ (sqrt x) (+ x y))) (exp (/ (sqrt x) (+ x y))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y)))) (cbrt (/ (sqrt x) (+ x y))) (* (* (/ (sqrt x) (+ x y)) (/ (sqrt x) (+ x y))) (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) (+ x y))) (- (sqrt x)) (- (+ x y)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (sqrt x)) (cbrt (+ x y))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y))) (/ (cbrt (sqrt x)) (sqrt (+ x y))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ x y)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ x y)) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (cbrt x)) (cbrt (+ x y))) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ x y))) (/ (sqrt (cbrt x)) (sqrt (+ x y))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ x y)) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ x y)) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (sqrt x)) (cbrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ x y)) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt x) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt x) (+ x y)) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (sqrt x)) (cbrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ x y)) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 1) (/ (sqrt x) (+ x y)) (/ 1 1) (/ (sqrt x) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (sqrt x)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) 1) (/ (+ x y) (cbrt (sqrt x))) (/ (+ x y) (sqrt (cbrt x))) (/ (+ x y) (sqrt (sqrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) (sqrt (sqrt x))) (/ (+ x y) (sqrt x)) (/ (sqrt x) (+ (pow x 3) (pow y 3))) (/ (sqrt x) (- (* x x) (* y y))) (expm1 (* (sqrt x) (/ (sqrt x) (+ x y)))) (log1p (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (sqrt x) (/ (sqrt x) (+ x y))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ x y)))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ x y)))) (log (* (sqrt x) (/ (sqrt x) (+ x y)))) (exp (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ x y)) (/ (sqrt x) (+ x y))) (/ (sqrt x) (+ x y)))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ x y))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (* (* (sqrt x) (/ (sqrt x) (+ x y))) (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (sqrt x) (/ (sqrt x) (+ x y)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow x 3) (pow y 3)))) (* (sqrt x) (/ (sqrt x) (- (* x x) (* y y)))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ x y))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ x y))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ x y))) (* (sqrt x) (/ (sqrt x) (+ x y))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ x y))) (* (sqrt x) (/ (sqrt x) (+ x y))) (* (sqrt x) (sqrt x)) 0 0 0 0 0 0 0.727 * * [simplify]: iteration 0 : 265 enodes (cost 718 ) 0.733 * * [simplify]: iteration 1 : 1154 enodes (cost 638 ) 0.757 * * [simplify]: iteration 2 : 4863 enodes (cost 614 ) 0.816 * * [simplify]: iteration 3 : 5001 enodes (cost 614 ) 0.820 * [simplify]: Simplified to: (expm1 (/ (sqrt x) (+ x y))) (log1p (/ (sqrt x) (+ x y))) (log (/ (sqrt x) (+ x y))) (log (/ (sqrt x) (+ x y))) (exp (/ (sqrt x) (+ x y))) (pow (/ (sqrt x) (+ x y)) 3) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y)))) (cbrt (/ (sqrt x) (+ x y))) (pow (/ (sqrt x) (+ x y)) 3) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) (+ x y))) (- (sqrt x)) (- (+ x y)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (sqrt x)) (cbrt (+ x y))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y))) (/ (cbrt (sqrt x)) (sqrt (+ x y))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ x y)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ x y)) (/ (/ (fabs (cbrt x)) (cbrt (+ x y))) (cbrt (+ x y))) (/ (sqrt (cbrt x)) (cbrt (+ x y))) (/ (fabs (cbrt x)) (* (sqrt (+ x y)) 1)) (/ (sqrt (cbrt x)) (sqrt (+ x y))) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ x y)) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ x y)) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (sqrt x)) (cbrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ x y)) (sqrt 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y)))) (log1p (* (sqrt x) (/ (sqrt x) (+ x y)))) (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (pow (exp 1) (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ x y))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y)))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt x)) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt x)) (/ (* (sqrt x) (fabs (cbrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (sqrt x) (fabs (cbrt x))) (sqrt (+ x y))) (* (fabs (cbrt x)) (sqrt x)) (* (fabs (cbrt x)) (sqrt x)) (/ (pow (sqrt (sqrt x)) 3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (pow (sqrt (sqrt x)) 3) (sqrt (+ x y))) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (sqrt x) (/ (pow (sqrt (sqrt x)) 3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (pow (sqrt (sqrt x)) 3) (sqrt (+ x y))) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (sqrt x) (sqrt x) x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ x y))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ x y))) (/ (pow (sqrt (sqrt x)) 3) (+ x y)) (/ x (+ x y)) (/ (pow (sqrt (sqrt x)) 3) (+ x y)) (/ x (+ x y)) x 0 0 0 0 0 0 0.820 * * * [progress]: adding candidates to table 0.962 * [progress]: [Phase 3 of 3] Extracting. 0.962 * * [regime]: Finding splitpoints for: (# #) 0.962 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.962 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# #) 0.972 * * * * [regimes]: Trying to branch on y from (# #) 0.986 * * * * [regimes]: Trying to branch on x from (# #) 0.997 * * * [regime]: Found split indices: #