17.425 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (/ (exp (* x (log (/ x (+ x y))))) x) 0.070 * * [simplify]: iteration 0 : 15 enodes (cost 6 ) 0.071 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.073 * * [simplify]: iteration 2 : 51 enodes (cost 6 ) 0.075 * * [simplify]: iteration 3 : 108 enodes (cost 6 ) 0.077 * * [simplify]: iteration 4 : 310 enodes (cost 4 ) 0.081 * * [simplify]: iteration 5 : 792 enodes (cost 4 ) 0.096 * * [simplify]: iteration 6 : 4192 enodes (cost 4 ) 0.210 * * [simplify]: iteration 7 : 5002 enodes (cost 4 ) 0.210 * [simplify]: Simplified to: (/ (pow (/ x (+ x y)) x) x) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.230 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.237 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) x) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.237 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in y 0.237 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.237 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (+ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.239 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.239 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.240 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.240 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.242 * [taylor]: Taking taylor expansion of (log x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (- (+ (* (log x) (log (/ 1 y))) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2)))) (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of (+ (* (log x) (log (/ 1 y))) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2)))) in y 0.245 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 0.245 * [taylor]: Taking taylor expansion of (log x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2))) in y 0.245 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log x) 2)) in y 0.245 * [taylor]: Taking taylor expansion of 1/2 in y 0.245 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.245 * [taylor]: Taking taylor expansion of (log x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log (/ 1 y)) 2)) in y 0.245 * [taylor]: Taking taylor expansion of 1/2 in y 0.245 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.250 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.250 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 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 (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.251 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.256 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.256 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) 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 0.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 y))) (pow y 2))) in y 0.265 * [taylor]: Taking taylor expansion of 1/2 in y 0.265 * [taylor]: Taking taylor expansion of (/ (exp (- (/ 1 y))) (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) (exp (- (/ 1 y)))) in y 0.278 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.278 * [taylor]: Taking taylor expansion of 1/8 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.279 * [taylor]: Taking taylor expansion of 1/3 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (- (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) (* 1/6 (/ 1 (pow y 5))))) in y 0.309 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) (* 1/6 (/ 1 (pow y 5)))) in y 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) in y 0.310 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.310 * [taylor]: Taking taylor expansion of 1/48 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.312 * [taylor]: Taking taylor expansion of 1/4 in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.313 * [taylor]: Taking taylor expansion of 1/6 in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.380 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.380 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 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 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.381 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 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 0.386 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (* -1/2 (/ (exp (/ 1 y)) (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of -1/2 in y 0.396 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4))))) in y 0.404 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4)))) in y 0.405 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.405 * [taylor]: Taking taylor expansion of 1/3 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.406 * [taylor]: Taking taylor expansion of 1/8 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5))))))) in y 0.431 * [taylor]: Taking taylor expansion of -1 in y 0.431 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))))) in y 0.431 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5))))) in y 0.431 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.431 * [taylor]: Taking taylor expansion of 1/48 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))) in y 0.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.432 * [taylor]: Taking taylor expansion of 1/4 in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.433 * [taylor]: Taking taylor expansion of 1/6 in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.484 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.484 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (+ x y) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (+ x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (+ x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.495 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.495 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.496 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.497 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.508 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.508 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1 in y 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.521 * * * [progress]: simplifying candidates 0.522 * [simplify]: Simplifying using # : (expm1 (pow (/ x (+ x y)) x)) (log1p (pow (/ x (+ x y)) x)) (* (- (log x) (log (+ x y))) x) (* (log (/ x (+ x y))) x) (* (log (/ x (+ x y))) x) (* 1 x) (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (pow (/ x (+ x y)) 1) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow 1 x) (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (* (* (pow (/ x (+ x y)) x) (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (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))) (- (+ (* 1/2 (* (pow x 2) (pow (log y) 2))) (+ (* (log x) x) (+ (* 1/2 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* x (log y)) (* (log x) (* (pow x 2) (log y))))) (exp (- y)) (exp (* -1 y)) 0 0 0 0.528 * * [simplify]: iteration 0 : 320 enodes (cost 413 ) 0.538 * * [simplify]: iteration 1 : 1304 enodes (cost 399 ) 0.565 * * [simplify]: iteration 2 : 5002 enodes (cost 398 ) 0.573 * [simplify]: Simplified to: (expm1 (pow (/ x (+ x y)) x)) (log1p (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) x (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (/ x (+ x y)) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (pow (pow (/ x (+ x y)) x) 3) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (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) (pow (/ x (+ x y)) 1/2) (pow (/ x (+ x y)) 1/2) (- 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))) (- (fma (log x) x (fma 1/2 (* (pow (log x) 2) (pow x 2)) 1)) (- (* (log y) (fma (* (log x) x) x x)) (* 1/2 (* (pow x 2) (pow (log y) 2))))) (exp (* -1 y)) (exp (* -1 y)) 0 0 0 0.573 * * * [progress]: adding candidates to table 0.699 * * [progress]: iteration 2 / 4 0.699 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.749 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 0.755 * * * [progress]: generating series expansions 0.755 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.755 * [approximate]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in (x y) around 0 0.755 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in y 0.755 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in y 0.756 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.756 * [taylor]: Taking taylor expansion of 1/3 in y 0.756 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.756 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.756 * [taylor]: Taking taylor expansion of (+ x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.763 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.763 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.763 * [taylor]: Taking taylor expansion of 1/3 in x 0.763 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.763 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.764 * [taylor]: Taking taylor expansion of (+ x y) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.768 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.768 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.768 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.768 * [taylor]: Taking taylor expansion of 1/3 in x 0.768 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.768 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.768 * [taylor]: Taking taylor expansion of (+ x y) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.772 * [taylor]: Taking taylor expansion of 1 in y 0.772 * [taylor]: Taking taylor expansion of (+ (* 2/3 (log x)) (* 1/3 (log (/ 1 (pow y 2))))) in y 0.772 * [taylor]: Taking taylor expansion of (* 2/3 (log x)) in y 0.772 * [taylor]: Taking taylor expansion of 2/3 in y 0.772 * [taylor]: Taking taylor expansion of (log x) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.772 * [taylor]: Taking taylor expansion of 1/3 in y 0.772 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (- (+ (* 2/9 (pow (log x) 2)) (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2)))) (* 2/3 (/ 1 y))) in y 0.779 * [taylor]: Taking taylor expansion of (+ (* 2/9 (pow (log x) 2)) (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2)))) in y 0.779 * [taylor]: Taking taylor expansion of (* 2/9 (pow (log x) 2)) in y 0.779 * [taylor]: Taking taylor expansion of 2/9 in y 0.779 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.779 * [taylor]: Taking taylor expansion of (log x) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2))) in y 0.779 * [taylor]: Taking taylor expansion of (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) in y 0.779 * [taylor]: Taking taylor expansion of 2/9 in y 0.779 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 (pow y 2)))) in y 0.779 * [taylor]: Taking taylor expansion of (log x) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log (/ 1 (pow y 2))) 2)) in y 0.780 * [taylor]: Taking taylor expansion of 1/18 in y 0.780 * [taylor]: Taking taylor expansion of (pow (log (/ 1 (pow y 2))) 2) in y 0.780 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.781 * [taylor]: Taking taylor expansion of 2/3 in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.785 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in (x y) around 0 0.785 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.785 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.785 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.785 * [taylor]: Taking taylor expansion of 1/3 in y 0.785 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.785 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.787 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.788 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.788 * [taylor]: Taking taylor expansion of 1/3 in x 0.788 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.788 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.794 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.794 * [taylor]: Taking taylor expansion of 1/3 in x 0.794 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.794 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.799 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.799 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.799 * [taylor]: Taking taylor expansion of 2/3 in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of 1/3 in y 0.807 * [taylor]: Taking taylor expansion of (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.807 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.807 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.807 * [taylor]: Taking taylor expansion of 2/3 in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (* (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) (exp (- (* 2/3 (/ 1 y))))) in y 0.819 * [taylor]: Taking taylor expansion of (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) in y 0.820 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.820 * [taylor]: Taking taylor expansion of 1/18 in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.820 * [taylor]: Taking taylor expansion of 2/9 in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.821 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.821 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.821 * [taylor]: Taking taylor expansion of 2/3 in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) (* 2/27 (/ 1 (pow y 5)))) (exp (- (* 2/3 (/ 1 y))))) in y 0.858 * [taylor]: Taking taylor expansion of (- (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) (* 2/27 (/ 1 (pow y 5)))) in y 0.858 * [taylor]: Taking taylor expansion of (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) in y 0.859 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.859 * [taylor]: Taking taylor expansion of 1/162 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.860 * [taylor]: Taking taylor expansion of 1/6 in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.860 * [taylor]: Taking taylor expansion of 2/27 in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.861 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.861 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.861 * [taylor]: Taking taylor expansion of 2/3 in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.906 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 0.906 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.906 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.906 * [taylor]: Taking taylor expansion of -1 in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.906 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.906 * [taylor]: Taking taylor expansion of 1/3 in y 0.906 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.906 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.909 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.910 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.910 * [taylor]: Taking taylor expansion of 1/3 in x 0.910 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.910 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.915 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.916 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.916 * [taylor]: Taking taylor expansion of 1/3 in x 0.916 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.916 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.922 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.922 * [taylor]: Taking taylor expansion of 2/3 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (/ 2/3 y)) (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of -1/3 in y 0.933 * [taylor]: Taking taylor expansion of (/ (exp (/ 2/3 y)) (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.933 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.933 * [taylor]: Taking taylor expansion of 2/3 in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (* (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) (exp (/ 2/3 y))) in y 0.945 * [taylor]: Taking taylor expansion of (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) in y 0.945 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.945 * [taylor]: Taking taylor expansion of 2/9 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.945 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.946 * [taylor]: Taking taylor expansion of 1/18 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.947 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.947 * [taylor]: Taking taylor expansion of 2/3 in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) (exp (/ 2/3 y)))) in y 0.978 * [taylor]: Taking taylor expansion of -1 in y 0.978 * [taylor]: Taking taylor expansion of (* (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) (exp (/ 2/3 y))) in y 0.978 * [taylor]: Taking taylor expansion of (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) in y 0.978 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.978 * [taylor]: Taking taylor expansion of 1/162 in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5)))) in y 0.979 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.979 * [taylor]: Taking taylor expansion of 1/6 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.980 * [taylor]: Taking taylor expansion of 2/27 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.981 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.981 * [taylor]: Taking taylor expansion of 2/3 in y 0.981 * [taylor]: Taking taylor expansion of y in y 1.033 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.033 * [approximate]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in (x y) around 0 1.033 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in y 1.033 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in y 1.033 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in y 1.033 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 1.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 1.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 1.033 * [taylor]: Taking taylor expansion of 1/3 in y 1.033 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 1.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (+ x y) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in x 1.036 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in x 1.036 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 1.036 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.036 * [taylor]: Taking taylor expansion of 1/3 in x 1.036 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (+ x y) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in x 1.039 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in x 1.039 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 1.039 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.039 * [taylor]: Taking taylor expansion of 1/3 in x 1.039 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.039 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (+ x y) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of 1 in y 1.041 * [taylor]: Taking taylor expansion of (+ (* 1/3 (log x)) (* 1/3 (log (/ 1 y)))) in y 1.042 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 1.042 * [taylor]: Taking taylor expansion of 1/3 in y 1.042 * [taylor]: Taking taylor expansion of (log x) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.042 * [taylor]: Taking taylor expansion of 1/3 in y 1.042 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (- (+ (* 1/9 (* (log x) (log (/ 1 y)))) (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2)))) (* 1/3 (/ 1 y))) in y 1.046 * [taylor]: Taking taylor expansion of (+ (* 1/9 (* (log x) (log (/ 1 y)))) (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2)))) in y 1.046 * [taylor]: Taking taylor expansion of (* 1/9 (* (log x) (log (/ 1 y)))) in y 1.046 * [taylor]: Taking taylor expansion of 1/9 in y 1.046 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 1.046 * [taylor]: Taking taylor expansion of (log x) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2))) in y 1.046 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log x) 2)) in y 1.046 * [taylor]: Taking taylor expansion of 1/18 in y 1.046 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 1.046 * [taylor]: Taking taylor expansion of (log x) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log (/ 1 y)) 2)) in y 1.046 * [taylor]: Taking taylor expansion of 1/18 in y 1.047 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 1.047 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 1.047 * [taylor]: Taking taylor expansion of 1/3 in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.051 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in (x y) around 0 1.051 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 1.052 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in y 1.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 1.052 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.052 * [taylor]: Taking taylor expansion of 1/3 in y 1.052 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 1.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.053 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.054 * [taylor]: Taking taylor expansion of 1/3 in x 1.054 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 1.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.060 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.060 * [taylor]: Taking taylor expansion of 1/3 in x 1.060 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 1.066 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 1.066 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 1.066 * [taylor]: Taking taylor expansion of 1/3 in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (- (* 1/3 (/ 1 y)))) (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of 1/6 in y 1.072 * [taylor]: Taking taylor expansion of (/ (exp (- (* 1/3 (/ 1 y)))) (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 1.072 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 1.072 * [taylor]: Taking taylor expansion of 1/3 in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (* (- (* 1/72 (/ 1 (pow y 4))) (* 1/9 (/ 1 (pow y 3)))) (exp (- (* 1/3 (/ 1 y))))) in y 1.084 * [taylor]: Taking taylor expansion of (- (* 1/72 (/ 1 (pow y 4))) (* 1/9 (/ 1 (pow y 3)))) in y 1.084 * [taylor]: Taking taylor expansion of (* 1/72 (/ 1 (pow y 4))) in y 1.084 * [taylor]: Taking taylor expansion of 1/72 in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.084 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow y 3))) in y 1.085 * [taylor]: Taking taylor expansion of 1/9 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 1.085 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 1.085 * [taylor]: Taking taylor expansion of 1/3 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) (* 1/54 (/ 1 (pow y 5)))) (exp (- (* 1/3 (/ 1 y))))) in y 1.121 * [taylor]: Taking taylor expansion of (- (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) (* 1/54 (/ 1 (pow y 5)))) in y 1.121 * [taylor]: Taking taylor expansion of (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) in y 1.121 * [taylor]: Taking taylor expansion of (* 1/1296 (/ 1 (pow y 6))) in y 1.121 * [taylor]: Taking taylor expansion of 1/1296 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.121 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow y 4))) in y 1.122 * [taylor]: Taking taylor expansion of 1/12 in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (* 1/54 (/ 1 (pow y 5))) in y 1.122 * [taylor]: Taking taylor expansion of 1/54 in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 1.123 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 1.123 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 1.123 * [taylor]: Taking taylor expansion of 1/3 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.168 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in (x y) around 0 1.168 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 1.168 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in y 1.168 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in y 1.168 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.168 * [taylor]: Taking taylor expansion of -1 in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.168 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 1.168 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.168 * [taylor]: Taking taylor expansion of 1/3 in y 1.168 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.168 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.170 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 1.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.170 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.170 * [taylor]: Taking taylor expansion of 1/3 in x 1.170 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.170 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.170 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 1.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.182 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.182 * [taylor]: Taking taylor expansion of 1/3 in x 1.182 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 1.188 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 1.188 * [taylor]: Taking taylor expansion of 1/3 in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (* -1/6 (/ (exp (/ 1/3 y)) (pow y 2))) in y 1.194 * [taylor]: Taking taylor expansion of -1/6 in y 1.194 * [taylor]: Taking taylor expansion of (/ (exp (/ 1/3 y)) (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 1.194 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 1.194 * [taylor]: Taking taylor expansion of 1/3 in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (* (+ (* 1/9 (/ 1 (pow y 3))) (* 1/72 (/ 1 (pow y 4)))) (exp (/ 1/3 y))) in y 1.205 * [taylor]: Taking taylor expansion of (+ (* 1/9 (/ 1 (pow y 3))) (* 1/72 (/ 1 (pow y 4)))) in y 1.205 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow y 3))) in y 1.205 * [taylor]: Taking taylor expansion of 1/9 in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (* 1/72 (/ 1 (pow y 4))) in y 1.206 * [taylor]: Taking taylor expansion of 1/72 in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 1.207 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 1.207 * [taylor]: Taking taylor expansion of 1/3 in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.237 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) (exp (/ 1/3 y)))) in y 1.237 * [taylor]: Taking taylor expansion of -1 in y 1.238 * [taylor]: Taking taylor expansion of (* (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) (exp (/ 1/3 y))) in y 1.238 * [taylor]: Taking taylor expansion of (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) in y 1.238 * [taylor]: Taking taylor expansion of (* 1/1296 (/ 1 (pow y 6))) in y 1.238 * [taylor]: Taking taylor expansion of 1/1296 in y 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.238 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5)))) in y 1.239 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow y 4))) in y 1.239 * [taylor]: Taking taylor expansion of 1/12 in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.239 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.240 * [taylor]: Taking taylor expansion of (* 1/54 (/ 1 (pow y 5))) in y 1.240 * [taylor]: Taking taylor expansion of 1/54 in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.240 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.241 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 1.241 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 1.241 * [taylor]: Taking taylor expansion of 1/3 in y 1.241 * [taylor]: Taking taylor expansion of y in y 1.293 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.293 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.293 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.293 * [taylor]: Taking taylor expansion of 1/3 in x 1.293 * [taylor]: Taking taylor expansion of (log x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.294 * [taylor]: Taking taylor expansion of 1/3 in x 1.294 * [taylor]: Taking taylor expansion of (log x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.348 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.348 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of 1/3 in x 1.348 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.349 * [taylor]: Taking taylor expansion of 1/3 in x 1.349 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.399 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.400 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of 1/3 in x 1.400 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.401 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.401 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.402 * [taylor]: Taking taylor expansion of 1/3 in x 1.402 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.471 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 1.471 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.471 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.471 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.471 * [taylor]: Taking taylor expansion of 1/3 in x 1.471 * [taylor]: Taking taylor expansion of (log x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.471 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.472 * [taylor]: Taking taylor expansion of 1/3 in x 1.472 * [taylor]: Taking taylor expansion of (log x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.527 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.527 * [taylor]: Taking taylor expansion of 1/3 in x 1.527 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.528 * [taylor]: Taking taylor expansion of 1/3 in x 1.528 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.585 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.586 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.586 * [taylor]: Taking taylor expansion of -1 in x 1.586 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.586 * [taylor]: Taking taylor expansion of 1/3 in x 1.586 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.587 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.587 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.587 * [taylor]: Taking taylor expansion of -1 in x 1.588 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of 1/3 in x 1.588 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.654 * * * [progress]: simplifying candidates 1.656 * [simplify]: Simplifying using # : (expm1 (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (log1p (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (- (+ (log (cbrt x)) (log (cbrt x))) (+ (log (cbrt (+ x y))) (log (cbrt (+ x y))))) x) (* (- (+ (log (cbrt x)) (log (cbrt 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(* x y)))) x) (pow (/ (cbrt x) (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (exp (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x))) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (* (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (* 2/9 (* (pow x 2) (pow (log y) 2))) (+ (* 2/3 (* (log x) x)) (+ (* 2/9 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 2/3 (* x (log y))) (* 4/9 (* (log x) (* (pow x 2) (log y)))))) (exp (- (* 2/3 y))) (exp (* -2/3 y)) (- (+ (* 1/18 (* (pow x 2) (pow (log y) 2))) (+ (* 1/3 (* (log x) x)) (+ (* 1/18 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 1/3 (* x (log y))) (* 1/9 (* (log x) (* (pow x 2) (log y)))))) (exp (- (* 1/3 y))) (exp (* -1/3 y)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.665 * * [simplify]: iteration 0 : 708 enodes (cost 1370 ) 1.676 * * [simplify]: iteration 1 : 2244 enodes (cost 1300 ) 1.709 * * [simplify]: iteration 2 : 5002 enodes (cost 1271 ) 1.715 * [simplify]: Simplified to: (expm1 (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (log1p (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) x (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ (* (cbrt x) (cbrt x)) 2))) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ (sqrt x) 2))) (pow (/ (cbrt x) (cbrt (+ x y))) 2) (pow (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))) x) (pow (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ x 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(cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (* (* 2 (log (/ (cbrt x) (cbrt (+ x y))))) x) (exp (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x))) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (* 2 (/ x 2))) 3) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (/ x 2)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) 2) (/ x 2)) (expm1 (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log1p (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) x (pow (/ (cbrt x) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (pow (/ (cbrt x) (cbrt (+ x y))) (sqrt x)) (/ (cbrt x) (cbrt (+ x y))) (pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x) (pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (* (cbrt x) (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ (cbrt (sqrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (sqrt x)) 1) x) (pow (/ (cbrt (sqrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (cbrt x) x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (cbrt x) (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (exp (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x))) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) x) 3) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (fma (* 2/9 (pow x 2)) (pow (log y) 2) (- (fma 2/3 (* (log x) x) (fma 2/9 (* (pow (log x) 2) (pow x 2)) 1)) (fma 2/3 (* x (log y)) (* 4/9 (* (log x) (* (pow x 2) (log y))))))) (exp (- (* 2/3 y))) (exp (* -2/3 y)) (fma (* 1/18 (pow x 2)) (pow (log y) 2) (- (fma 1/3 (* (log x) x) (fma 1/18 (* (pow (log x) 2) (pow x 2)) 1)) (fma 1/3 (* x (log y)) (* 1/9 (* (log x) (* (pow x 2) (log y))))))) (exp (- (* 1/3 y))) (exp (* -1/3 y)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.716 * * * [progress]: adding candidates to table 2.065 * * [progress]: iteration 3 / 4 2.065 * * * [progress]: picking best candidate 2.071 * * * * [pick]: Picked # 2.071 * * * [progress]: localizing error 2.076 * * * [progress]: generating rewritten candidates 2.076 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.084 * * * [progress]: generating series expansions 2.084 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.084 * [approximate]: Taking taylor expansion of (/ (exp (* -1 y)) x) in (y x) around 0 2.084 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 2.084 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in x 2.084 * [taylor]: Taking taylor expansion of (* -1 y) in x 2.084 * [taylor]: Taking taylor expansion of -1 in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.085 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.085 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.085 * [taylor]: Taking taylor expansion of -1 in y 2.085 * [taylor]: Taking taylor expansion of y in y 2.085 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.086 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.086 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.086 * [taylor]: Taking taylor expansion of -1 in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.086 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of 1/2 in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.091 * [approximate]: Taking taylor expansion of (* (exp (/ -1 y)) x) in (y x) around 0 2.091 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.091 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.091 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.091 * [taylor]: Taking taylor expansion of -1 in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.091 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.091 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.091 * [taylor]: Taking taylor expansion of -1 in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.091 * [taylor]: Taking taylor expansion of x in y 2.091 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.091 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.091 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.091 * [taylor]: Taking taylor expansion of -1 in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.092 * [taylor]: Taking taylor expansion of x in y 2.092 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.092 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.092 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.092 * [taylor]: Taking taylor expansion of -1 in x 2.092 * [taylor]: Taking taylor expansion of y in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of 0 in x 2.093 * [taylor]: Taking taylor expansion of 0 in x 2.095 * [taylor]: Taking taylor expansion of 0 in x 2.095 * [approximate]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 2.095 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.095 * [taylor]: Taking taylor expansion of -1 in x 2.095 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.095 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.095 * [taylor]: Taking taylor expansion of y in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.095 * [taylor]: Taking taylor expansion of -1 in y 2.095 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.095 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.096 * [taylor]: Taking taylor expansion of -1 in y 2.096 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.096 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.096 * [taylor]: Taking taylor expansion of y in y 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.096 * [taylor]: Taking taylor expansion of -1 in x 2.096 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.096 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of 0 in x 2.099 * [taylor]: Taking taylor expansion of 0 in x 2.102 * [taylor]: Taking taylor expansion of 0 in x 2.102 * * * [progress]: simplifying candidates 2.103 * [simplify]: Simplifying using # : (expm1 (/ (exp (* -1 y)) x)) (log1p (/ (exp (* -1 y)) x)) (- (* -1 y) (log x)) (log (/ (exp (* -1 y)) x)) (exp (/ (exp (* -1 y)) x)) (/ (* (* (exp (* -1 y)) (exp (* -1 y))) (exp (* -1 y))) (* (* x x) x)) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (* (* (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x)) (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (- (exp (* -1 y))) (- x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) 1) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) 1) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) (/ 1 1) (/ (exp (* -1 y)) x) (/ 1 x) (/ x (exp (* -1 y))) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (/ (exp (* -1 y)) 1) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (/ x (exp (* -1 y))) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 2.106 * * [simplify]: iteration 0 : 118 enodes (cost 194 ) 2.109 * * [simplify]: iteration 1 : 313 enodes (cost 179 ) 2.116 * * [simplify]: iteration 2 : 1512 enodes (cost 177 ) 2.149 * * [simplify]: iteration 3 : 5001 enodes (cost 177 ) 2.151 * [simplify]: Simplified to: (expm1 (/ (exp (* -1 y)) x)) (log1p (/ (exp (* -1 y)) x)) (- (* -1 y) (log x)) (- (* -1 y) (log x)) (exp (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (- (exp (* -1 y))) (- x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (sqrt (exp (* -1 y))) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) 1 (/ (exp (* -1 y)) x) (/ 1 x) (* x (exp y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (* x (exp y)) (* x (exp y)) (fma 1/2 (/ (pow y 2) x) (- (/ 1 x) (/ y x))) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 2.151 * * * [progress]: adding candidates to table 2.202 * * [progress]: iteration 4 / 4 2.203 * * * [progress]: picking best candidate 2.208 * * * * [pick]: Picked # 2.208 * * * [progress]: localizing error 2.214 * * * [progress]: generating rewritten candidates 2.214 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.223 * * * [progress]: generating series expansions 2.223 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.223 * [approximate]: Taking taylor expansion of (/ (exp (* -1 y)) x) in (y x) around 0 2.223 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 2.223 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in x 2.223 * [taylor]: Taking taylor expansion of (* -1 y) in x 2.223 * [taylor]: Taking taylor expansion of -1 in x 2.223 * [taylor]: Taking taylor expansion of y in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.224 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.224 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.224 * [taylor]: Taking taylor expansion of -1 in y 2.224 * [taylor]: Taking taylor expansion of y in y 2.224 * [taylor]: Taking taylor expansion of x in y 2.224 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.224 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.224 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.225 * [taylor]: Taking taylor expansion of -1 in y 2.225 * [taylor]: Taking taylor expansion of y in y 2.225 * [taylor]: Taking taylor expansion of x in y 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 2.229 * [taylor]: Taking taylor expansion of 1/2 in x 2.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.230 * [approximate]: Taking taylor expansion of (* (exp (/ -1 y)) x) in (y x) around 0 2.230 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.230 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of y in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.230 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.230 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.230 * [taylor]: Taking taylor expansion of -1 in y 2.230 * [taylor]: Taking taylor expansion of y in y 2.230 * [taylor]: Taking taylor expansion of x in y 2.230 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.230 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.230 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.230 * [taylor]: Taking taylor expansion of -1 in y 2.230 * [taylor]: Taking taylor expansion of y in y 2.231 * [taylor]: Taking taylor expansion of x in y 2.231 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.231 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.231 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.231 * [taylor]: Taking taylor expansion of -1 in x 2.231 * [taylor]: Taking taylor expansion of y in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.231 * [taylor]: Taking taylor expansion of 0 in x 2.232 * [taylor]: Taking taylor expansion of 0 in x 2.234 * [taylor]: Taking taylor expansion of 0 in x 2.234 * [approximate]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 2.234 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.234 * [taylor]: Taking taylor expansion of -1 in x 2.234 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.234 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.234 * [taylor]: Taking taylor expansion of y in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.234 * [taylor]: Taking taylor expansion of -1 in y 2.234 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.234 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.234 * [taylor]: Taking taylor expansion of y in y 2.235 * [taylor]: Taking taylor expansion of x in y 2.235 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.235 * [taylor]: Taking taylor expansion of -1 in y 2.235 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.235 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.235 * [taylor]: Taking taylor expansion of y in y 2.235 * [taylor]: Taking taylor expansion of x in y 2.235 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.235 * [taylor]: Taking taylor expansion of -1 in x 2.235 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.235 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.235 * [taylor]: Taking taylor expansion of y in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of 0 in x 2.238 * [taylor]: Taking taylor expansion of 0 in x 2.241 * [taylor]: Taking taylor expansion of 0 in x 2.241 * * * [progress]: simplifying candidates 2.242 * [simplify]: Simplifying using # : (expm1 (* (exp (* -1 y)) (/ 1 x))) (log1p (* (exp (* -1 y)) (/ 1 x))) (* (exp (* -1 y)) (/ 1 x)) (+ (* -1 y) (- (log x))) (+ (* -1 y) (- 0 (log x))) (+ (* -1 y) (- (log 1) (log x))) (+ (* -1 y) (log (/ 1 x))) (log (* (exp (* -1 y)) (/ 1 x))) (exp (* (exp (* -1 y)) (/ 1 x))) (* (* (* (exp (* -1 y)) (exp (* -1 y))) (exp (* -1 y))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (exp (* -1 y)) (exp (* -1 y))) (exp (* -1 y))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (exp (* -1 y)) (/ 1 x))) (cbrt (* (exp (* -1 y)) (/ 1 x)))) (cbrt (* (exp (* -1 y)) (/ 1 x))) (* (* (* (exp (* -1 y)) (/ 1 x)) (* (exp (* -1 y)) (/ 1 x))) (* (exp (* -1 y)) (/ 1 x))) (sqrt (* (exp (* -1 y)) (/ 1 x))) (sqrt (* (exp (* -1 y)) (/ 1 x))) (* 1 1) (* (exp y) x) (* (sqrt (exp (* -1 y))) (sqrt (/ 1 x))) (* (sqrt (exp (* -1 y))) (sqrt (/ 1 x))) (* (sqrt (exp (* -1 y))) (/ (sqrt 1) (sqrt x))) (* (sqrt (exp (* -1 y))) (/ (sqrt 1) (sqrt x))) (* (sqrt (exp (* -1 y))) (/ 1 (sqrt x))) (* (sqrt (exp (* -1 y))) (/ 1 (sqrt x))) (* (exp (* -1 y)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (exp (* -1 y)) (sqrt (/ 1 x))) (* (exp (* -1 y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (exp (* -1 y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (exp (* -1 y)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (exp (* -1 y)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (exp (* -1 y)) (/ (sqrt 1) (sqrt x))) (* (exp (* -1 y)) (/ (sqrt 1) 1)) (* (exp (* -1 y)) (/ 1 (* (cbrt x) (cbrt x)))) (* (exp (* -1 y)) (/ 1 (sqrt x))) (* (exp (* -1 y)) (/ 1 1)) (* (exp (* -1 y)) 1) (* (exp (* -1 y)) 1) (* (cbrt (exp (* -1 y))) (/ 1 x)) (* (sqrt (exp (* -1 y))) (/ 1 x)) (* (exp (* -1 y)) (/ 1 x)) (* (exp (* -1 y)) 1) (* 1 (/ 1 x)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 2.246 * * [simplify]: iteration 0 : 213 enodes (cost 238 ) 2.251 * * [simplify]: iteration 1 : 835 enodes (cost 202 ) 2.269 * * [simplify]: iteration 2 : 4627 enodes (cost 182 ) 2.346 * * [simplify]: iteration 3 : 5001 enodes (cost 182 ) 2.347 * [simplify]: Simplified to: (expm1 (* (exp (* -1 y)) (/ 1 x))) (log1p (* (exp (* -1 y)) (/ 1 x))) (/ (exp (* -1 y)) x) (fma -1 y (- 0 (log x))) (fma -1 y (- 0 (log x))) (fma -1 y (- 0 (log x))) (fma -1 y (- 0 (log x))) (fma -1 y (- 0 (log x))) (exp (* (exp (* -1 y)) (/ 1 x))) (pow (/ (exp (* -1 y)) x) 3) (pow (/ (exp (* -1 y)) x) 3) (* (cbrt (* (exp (* -1 y)) (/ 1 x))) (cbrt (* (exp (* -1 y)) (/ 1 x)))) (cbrt (* (exp (* -1 y)) (/ 1 x))) (pow (/ (exp (* -1 y)) x) 3) (sqrt (* (exp (* -1 y)) (/ 1 x))) (sqrt (* (exp (* -1 y)) (/ 1 x))) 1 (* x (exp y)) (* (sqrt (exp (* -1 y))) (sqrt (/ 1 x))) (* (sqrt (exp (* -1 y))) (sqrt (/ 1 x))) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (exp y)) (/ (sqrt (/ 1 x)) (exp y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (exp (* -1 y)) (exp (* -1 y)) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) x) (/ (exp (* -1 y)) x) (exp (* -1 y)) (/ 1 x) (fma 1/2 (/ (pow y 2) x) (- (/ 1 x) (/ y x))) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 2.348 * * * [progress]: adding candidates to table 2.407 * [progress]: [Phase 3 of 3] Extracting. 2.407 * * [regime]: Finding splitpoints for: (# # # # #) 2.408 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.408 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.442 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.475 * * * [regime]: Found split indices: #