5.755 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (/ x (+ y x)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (+ x y) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ x y) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ x y) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.058 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.071 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.076 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.078 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.084 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.102 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.151 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.152 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.152 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.220 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.221 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.228 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.228 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.228 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.228 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (+ x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.229 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.229 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (+ x y) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.229 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.229 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (+ x y) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of -3/2 in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.236 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.236 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.236 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.236 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.237 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.237 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.243 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.243 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (log 2) in y 0.246 * [taylor]: Taking taylor expansion of 2 in y 0.248 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.248 * [taylor]: Taking taylor expansion of -1/2 in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of 3/8 in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.261 * [taylor]: Taking taylor expansion of -7/24 in y 0.261 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.266 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.267 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.267 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.267 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.268 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.268 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.270 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.270 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.270 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (log 2) in y 0.273 * [taylor]: Taking taylor expansion of 2 in y 0.275 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.275 * [taylor]: Taking taylor expansion of -1/2 in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of 3/8 in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.288 * [taylor]: Taking taylor expansion of -7/24 in y 0.288 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.293 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.293 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.294 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.294 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.294 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.294 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.294 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.294 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (+ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 1 in y 0.295 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.295 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.295 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.295 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.295 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.295 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (+ x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.296 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.296 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.297 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.297 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.297 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.297 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.304 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.304 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.304 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.304 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.304 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.304 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.305 * [taylor]: Taking taylor expansion of 1 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.305 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.306 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.306 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.306 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.306 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.306 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.309 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.309 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.309 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.309 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.309 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.309 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.337 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.337 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.337 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.337 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.338 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.338 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.338 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.339 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.339 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.339 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.339 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.339 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.339 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.340 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.343 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.343 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.343 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.343 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.343 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.343 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1 in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.368 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.368 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (+ x y) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (+ x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (+ x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.380 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.380 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.393 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.393 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.396 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.407 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (+ 1 (/ x (+ y x))) (expm1 (log1p (/ x (+ y x)))) (log1p (log1p (/ x (+ y x)))) (log (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (* (cbrt (log1p (/ x (+ y x)))) (cbrt (log1p (/ x (+ y x))))) (cbrt (log1p (/ x (+ y x)))) (* (* (log1p (/ x (+ y x))) (log1p (/ x (+ y x)))) (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (expm1 (expm1 (log1p (/ x (+ y x))))) (log1p (expm1 (log1p (/ x (+ y x))))) (log (expm1 (log1p (/ x (+ y x))))) (exp (expm1 (log1p (/ x (+ y x))))) (* (cbrt (expm1 (log1p (/ x (+ y x))))) (cbrt (expm1 (log1p (/ x (+ y x)))))) (cbrt (expm1 (log1p (/ x (+ y x))))) (* (* (expm1 (log1p (/ x (+ y x)))) (expm1 (log1p (/ x (+ y x))))) (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 (log 2) (log 2) 0 1 1 0 0 0 0.414 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.418 * * [simplify]: iteration 1 : 424 enodes (cost 229 ) 0.424 * * [simplify]: iteration 2 : 1106 enodes (cost 229 ) 0.443 * * [simplify]: iteration 3 : 3898 enodes (cost 229 ) 0.491 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.493 * [simplify]: Simplified to: (+ 1 (/ x (+ y x))) (/ x (+ y x)) (log1p (log1p (/ x (+ y x)))) (log (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (* (cbrt (log1p (/ x (+ y x)))) (cbrt (log1p (/ x (+ y x))))) (cbrt (log1p (/ x (+ y x)))) (pow (log1p (/ x (+ y x))) 3) (sqrt (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 (log 2) (log 2) 0 1 1 0 0 0 0.493 * * * [progress]: adding candidates to table 0.617 * * [progress]: iteration 3 / 4 0.617 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.621 * * * [progress]: localizing error 0.625 * * * [progress]: generating rewritten candidates 0.626 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.634 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.650 * * * [progress]: generating series expansions 0.650 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.650 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.650 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (+ x y) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (+ x y) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (+ x y) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 1 in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.657 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.673 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.673 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.688 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.688 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.688 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.688 * [taylor]: Taking taylor expansion of (+ x y) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.688 * [taylor]: Taking taylor expansion of (+ x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.689 * [taylor]: Taking taylor expansion of (+ x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of 1 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of 0 in x 0.692 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [taylor]: Taking taylor expansion of 0 in x 0.697 * [taylor]: Taking taylor expansion of 0 in x 0.698 * [taylor]: Taking taylor expansion of 0 in x 0.699 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of 1 in x 0.702 * [taylor]: Taking taylor expansion of 0 in x 0.704 * [taylor]: Taking taylor expansion of 0 in x 0.705 * [taylor]: Taking taylor expansion of 0 in x 0.705 * * * [progress]: simplifying candidates 0.707 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.713 * * [simplify]: iteration 0 : 354 enodes (cost 814 ) 0.720 * * [simplify]: iteration 1 : 1566 enodes (cost 715 ) 0.742 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.745 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (/ 1 (pow (/ (+ y x) x) 3)) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (fma x (- x y) (* y y))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.746 * * * [progress]: adding candidates to table 0.889 * * [progress]: iteration 4 / 4 0.889 * * * [progress]: picking best candidate 0.890 * * * * [pick]: Picked # 0.890 * * * [progress]: localizing error 0.897 * * * [progress]: generating rewritten candidates 0.897 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.911 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.923 * * * [progress]: generating series expansions 0.923 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.923 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.923 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.923 * [taylor]: Taking taylor expansion of (/ y x) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.923 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.923 * [taylor]: Taking taylor expansion of (/ y x) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of 1 in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.924 * [taylor]: Taking taylor expansion of (/ y x) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of 1 in y 0.925 * [taylor]: Taking taylor expansion of 1 in x 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.931 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.931 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.932 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.932 * [taylor]: Taking taylor expansion of (/ x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of 1 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.932 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.932 * [taylor]: Taking taylor expansion of (/ x y) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 1 in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.932 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.932 * [taylor]: Taking taylor expansion of (/ x y) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 1 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.945 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.945 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.945 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.945 * [taylor]: Taking taylor expansion of (/ x y) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of 1 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.946 * [taylor]: Taking taylor expansion of (/ x y) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.946 * [taylor]: Taking taylor expansion of (/ x y) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.952 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.958 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.959 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.959 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.959 * [taylor]: Taking taylor expansion of (/ y x) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 1 in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.959 * [taylor]: Taking taylor expansion of (/ y x) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of 1 in y 0.959 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.959 * [taylor]: Taking taylor expansion of (/ y x) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of 1 in y 0.959 * [taylor]: Taking taylor expansion of 1 in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of 0 in x 0.961 * [taylor]: Taking taylor expansion of 0 in x 0.962 * [taylor]: Taking taylor expansion of 0 in x 0.962 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.962 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.962 * [taylor]: Taking taylor expansion of (/ x y) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of 1 in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.962 * [taylor]: Taking taylor expansion of (/ x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 1 in y 0.962 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.962 * [taylor]: Taking taylor expansion of (/ x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 1 in y 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of 1 in x 0.964 * [taylor]: Taking taylor expansion of 0 in x 0.965 * [taylor]: Taking taylor expansion of 0 in x 0.966 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.966 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.966 * [taylor]: Taking taylor expansion of (/ x y) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of 1 in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.966 * [taylor]: Taking taylor expansion of (/ x y) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of 1 in y 0.966 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.966 * [taylor]: Taking taylor expansion of (/ x y) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of 1 in y 0.966 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of 1 in x 0.968 * [taylor]: Taking taylor expansion of 0 in x 0.970 * [taylor]: Taking taylor expansion of 0 in x 0.973 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.978 * * [simplify]: iteration 0 : 153 enodes (cost 274 ) 0.981 * * [simplify]: iteration 1 : 738 enodes (cost 223 ) 0.990 * * [simplify]: iteration 2 : 1635 enodes (cost 223 ) 1.012 * * [simplify]: iteration 3 : 4533 enodes (cost 222 ) 1.141 * * [simplify]: iteration 4 : 5001 enodes (cost 222 ) 1.143 * [simplify]: Simplified to: (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (exp (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (log1p (/ y x)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (fma (/ y x) (- (/ y x) 1) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 1.143 * * * [progress]: adding candidates to table 1.248 * [progress]: [Phase 3 of 3] Extracting. 1.248 * * [regime]: Finding splitpoints for: (# #) 1.248 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.248 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# #) 1.258 * * * * [regimes]: Trying to branch on y from (# #) 1.269 * * * * [regimes]: Trying to branch on x from (# #) 1.282 * * * [regime]: Found split indices: #