8.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (exp (* x (log (/ x (+ x y))))) x) 0.065 * [simplify]: Sending expressions to egg_math: (/ (exp (* h0 (log (/ h0 (+ h0 h1))))) h0) 0.067 * * [simplify]: iteration 0 : 15 enodes (cost 6 ) 0.069 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.071 * * [simplify]: iteration 2 : 51 enodes (cost 6 ) 0.073 * * [simplify]: iteration 3 : 106 enodes (cost 6 ) 0.076 * * [simplify]: iteration 4 : 304 enodes (cost 4 ) 0.080 * * [simplify]: iteration 5 : 774 enodes (cost 4 ) 0.097 * * [simplify]: iteration 6 : 4142 enodes (cost 4 ) 0.185 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.185 * [simplify]: Simplified to: (/ (pow (/ x (+ x y)) x) x) 0.192 * * [progress]: iteration 1 / 4 0.192 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.213 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.225 * * * [progress]: generating series expansions 0.225 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.226 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) x) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.226 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in y 0.226 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.226 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (+ x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.228 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.228 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.228 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.229 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.229 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.231 * [taylor]: Taking taylor expansion of (log x) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [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 0.235 * [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 0.235 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 0.235 * [taylor]: Taking taylor expansion of (log x) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2))) in y 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log x) 2)) in y 0.236 * [taylor]: Taking taylor expansion of 1/2 in y 0.236 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.236 * [taylor]: Taking taylor expansion of (log x) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log (/ 1 y)) 2)) in y 0.236 * [taylor]: Taking taylor expansion of 1/2 in y 0.236 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 0.236 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.241 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.241 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.241 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.243 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.248 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 y))) (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of 1/2 in y 0.257 * [taylor]: Taking taylor expansion of (/ (exp (- (/ 1 y))) (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (* (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) (exp (- (/ 1 y)))) in y 0.266 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) in y 0.267 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.267 * [taylor]: Taking taylor expansion of 1/8 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.267 * [taylor]: Taking taylor expansion of 1/3 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.300 * [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 0.300 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [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 0.301 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) in y 0.301 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.301 * [taylor]: Taking taylor expansion of 1/48 in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.302 * [taylor]: Taking taylor expansion of 1/4 in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.303 * [taylor]: Taking taylor expansion of 1/6 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.348 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.348 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.348 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.348 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.348 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.348 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.355 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (* -1/2 (/ (exp (/ 1 y)) (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of -1/2 in y 0.372 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4))))) in y 0.381 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4)))) in y 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.382 * [taylor]: Taking taylor expansion of 1/3 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.382 * [taylor]: Taking taylor expansion of 1/8 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of -1 in y 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.409 * [taylor]: Taking taylor expansion of 1/48 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))) in y 0.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.410 * [taylor]: Taking taylor expansion of 1/4 in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.411 * [taylor]: Taking taylor expansion of 1/6 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.465 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.465 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of (+ x y) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (+ x y) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (+ x y) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.477 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.477 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.480 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.491 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.491 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.504 * * * [progress]: simplifying candidates 0.505 * [simplify]: Simplifying using # : (* (- (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)) (- (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 0.505 * [simplify]: Sending expressions to egg_math: (* (- (log h0) (log (+ h0 h1))) h0) (* (log (/ h0 (+ h0 h1))) h0) (* (log (/ h0 (+ h0 h1))) h0) (* 1 h0) (pow (/ h0 (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (pow (/ h0 (+ h0 h1)) (sqrt h0)) (pow (/ h0 (+ h0 h1)) 1) (pow (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) h0) (pow (cbrt (/ h0 (+ h0 h1))) h0) (pow (sqrt (/ h0 (+ h0 h1))) h0) (pow (sqrt (/ h0 (+ h0 h1))) h0) (pow (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) h0) (pow (/ (cbrt h0) (cbrt (+ h0 h1))) h0) (pow (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) h0) (pow (/ (cbrt h0) (sqrt (+ h0 h1))) h0) (pow (/ (* (cbrt h0) (cbrt h0)) 1) h0) (pow (/ (cbrt h0) (+ h0 h1)) h0) (pow (/ (* (cbrt h0) (cbrt h0)) 1) h0) (pow (/ (cbrt h0) (+ h0 h1)) h0) (pow (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) h0) (pow (/ (sqrt h0) (cbrt (+ h0 h1))) h0) (pow (/ (sqrt h0) (sqrt (+ h0 h1))) h0) (pow (/ (sqrt h0) (sqrt (+ h0 h1))) h0) (pow (/ (sqrt h0) 1) h0) (pow (/ (sqrt h0) (+ h0 h1)) h0) (pow (/ (sqrt h0) 1) h0) (pow (/ (sqrt h0) (+ h0 h1)) h0) (pow (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) h0) (pow (/ h0 (cbrt (+ h0 h1))) h0) (pow (/ 1 (sqrt (+ h0 h1))) h0) (pow (/ h0 (sqrt (+ h0 h1))) h0) (pow (/ 1 1) h0) (pow (/ h0 (+ h0 h1)) h0) (pow (/ 1 1) h0) (pow (/ h0 (+ h0 h1)) h0) (pow 1 h0) (pow (/ h0 (+ h0 h1)) h0) (pow h0 h0) (pow (/ 1 (+ h0 h1)) h0) (pow (/ h0 (+ (pow h0 3) (pow h1 3))) h0) (pow (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) h0) (pow (/ h0 (- (* h0 h0) (* h1 h1))) h0) (pow (- h0 h1) h0) (log (pow (/ h0 (+ h0 h1)) h0)) (exp (pow (/ h0 (+ h0 h1)) h0)) (* (cbrt (pow (/ h0 (+ h0 h1)) h0)) (cbrt (pow (/ h0 (+ h0 h1)) h0))) (cbrt (pow (/ h0 (+ h0 h1)) h0)) (* (* (pow (/ h0 (+ h0 h1)) h0) (pow (/ h0 (+ h0 h1)) h0)) (pow (/ h0 (+ h0 h1)) h0)) (sqrt (pow (/ h0 (+ h0 h1)) h0)) (sqrt (pow (/ h0 (+ h0 h1)) h0)) (pow (/ h0 (+ h0 h1)) (/ h0 2)) (pow (/ h0 (+ h0 h1)) (/ h0 2)) (- (log h0) (log (+ h0 h1))) (log (/ h0 (+ h0 h1))) (exp (/ h0 (+ h0 h1))) (/ (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) (cbrt (/ h0 (+ h0 h1))) (* (* (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1))) (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (- h0) (- (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h0) (cbrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) (/ (cbrt h0) (sqrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) (- (+ (* 1/2 (* (pow h0 2) (pow (log h1) 2))) (+ (* (log h0) h0) (+ (* 1/2 (* (pow (log h0) 2) (pow h0 2))) 1))) (+ (* h0 (log h1)) (* (log h0) (* (pow h0 2) (log h1))))) (exp (- h1)) (exp (* -1 h1)) 0 0 0 0.510 * * [simplify]: iteration 0 : 309 enodes (cost 402 ) 0.517 * * [simplify]: iteration 1 : 1244 enodes (cost 387 ) 0.544 * * [simplify]: iteration 2 : 5002 enodes (cost 386 ) 0.546 * [simplify]: Simplified to: (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)) (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))) (+ (* x (+ (* (* 1/2 (pow (log x) 2)) x) (log x))) (+ 1 (- (* 1/2 (* (pow x 2) (pow (log y) 2))) (* (log y) (+ (* (log x) (pow x 2)) x))))) (exp (* -1 y)) (exp (* -1 y)) 0 0 0 0.547 * * * [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 0.712 * * * [progress]: generating rewritten candidates 0.712 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.723 * [approximate]: Taking taylor expansion of (/ (exp (* -1 y)) x) in (y x) around 0 0.723 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 0.723 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in x 0.723 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.723 * [taylor]: Taking taylor expansion of -1 in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 0.723 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 0.723 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.723 * [taylor]: Taking taylor expansion of -1 in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 0.724 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 0.724 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.724 * [taylor]: Taking taylor expansion of -1 in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of 1/2 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [approximate]: Taking taylor expansion of (* (exp (/ -1 y)) x) in (y x) around 0 0.730 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.730 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.730 * [taylor]: Taking taylor expansion of -1 in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.730 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.730 * [taylor]: Taking taylor expansion of -1 in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.731 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.731 * [taylor]: Taking taylor expansion of -1 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.731 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 0 in x 0.733 * [taylor]: Taking taylor expansion of 0 in x 0.735 * [taylor]: Taking taylor expansion of 0 in x 0.735 * [approximate]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 0.735 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 0.735 * [taylor]: Taking taylor expansion of -1 in x 0.735 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 0.735 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 0.735 * [taylor]: Taking taylor expansion of -1 in y 0.735 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 0.735 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 0.736 * [taylor]: Taking taylor expansion of -1 in y 0.736 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 0.736 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 0.737 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of 0 in x 0.739 * [taylor]: Taking taylor expansion of 0 in x 0.743 * [taylor]: Taking taylor expansion of 0 in x 0.743 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (- (* -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) 0.744 * [simplify]: Sending expressions to egg_math: (- (* -1 h0) (log h1)) (log (/ (exp (* -1 h0)) h1)) (exp (/ (exp (* -1 h0)) h1)) (/ (* (* (exp (* -1 h0)) (exp (* -1 h0))) (exp (* -1 h0))) (* (* h1 h1) h1)) (* (cbrt (/ (exp (* -1 h0)) h1)) (cbrt (/ (exp (* -1 h0)) h1))) (cbrt (/ (exp (* -1 h0)) h1)) (* (* (/ (exp (* -1 h0)) h1) (/ (exp (* -1 h0)) h1)) (/ (exp (* -1 h0)) h1)) (sqrt (/ (exp (* -1 h0)) h1)) (sqrt (/ (exp (* -1 h0)) h1)) (- (exp (* -1 h0))) (- h1) (/ (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (exp (* -1 h0))) (cbrt h1)) (/ (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (sqrt h1)) (/ (cbrt (exp (* -1 h0))) (sqrt h1)) (/ (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) 1) (/ (cbrt (exp (* -1 h0))) h1) (/ (sqrt (exp (* -1 h0))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (exp (* -1 h0))) (cbrt h1)) (/ (sqrt (exp (* -1 h0))) (sqrt h1)) (/ (sqrt (exp (* -1 h0))) (sqrt h1)) (/ (sqrt (exp (* -1 h0))) 1) (/ (sqrt (exp (* -1 h0))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (exp (* -1 h0)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (exp (* -1 h0)) (sqrt h1)) (/ 1 1) (/ (exp (* -1 h0)) h1) (/ 1 h1) (/ h1 (exp (* -1 h0))) (/ (exp (* -1 h0)) (* (cbrt h1) (cbrt h1))) (/ (exp (* -1 h0)) (sqrt h1)) (/ (exp (* -1 h0)) 1) (/ h1 (cbrt (exp (* -1 h0)))) (/ h1 (sqrt (exp (* -1 h0)))) (/ h1 (exp (* -1 h0))) (* h1 (exp h0)) (- (+ (* 1/2 (/ (pow h0 2) h1)) (/ 1 h1)) (/ h0 h1)) (/ (exp (* -1 h0)) h1) (/ (exp (* -1 h0)) h1) 0.747 * * [simplify]: iteration 0 : 114 enodes (cost 186 ) 0.750 * * [simplify]: iteration 1 : 303 enodes (cost 172 ) 0.758 * * [simplify]: iteration 2 : 1465 enodes (cost 170 ) 0.794 * * [simplify]: iteration 3 : 5003 enodes (cost 170 ) 0.796 * [simplify]: Simplified to: (- (* -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)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 0.796 * * * [progress]: adding candidates to table 1.095 * * [progress]: iteration 3 / 4 1.095 * * * [progress]: picking best candidate 1.104 * * * * [pick]: Picked # 1.104 * * * [progress]: localizing error 1.109 * * * [progress]: generating rewritten candidates 1.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.120 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.138 * * * [progress]: generating series expansions 1.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.139 * [approximate]: Taking taylor expansion of (* x (exp y)) in (x y) around 0 1.139 * [taylor]: Taking taylor expansion of (* x (exp y)) in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (exp y) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of (* x (exp y)) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (exp y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of (* x (exp y)) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (exp y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [taylor]: Taking taylor expansion of (exp y) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 y)) x) in (x y) around 0 1.146 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) x) in y 1.146 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.146 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) x) in x 1.146 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) x) in x 1.147 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ -1 y)) x)) in (x y) around 0 1.153 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ -1 y)) x)) in y 1.153 * [taylor]: Taking taylor expansion of -1 in y 1.153 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 y)) x) in y 1.153 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.153 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.153 * [taylor]: Taking taylor expansion of -1 in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of x in y 1.154 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ -1 y)) x)) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 y)) x) in x 1.154 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ -1 y)) x)) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 y)) x) in x 1.154 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* -1 (exp (/ -1 y))) in y 1.154 * [taylor]: Taking taylor expansion of -1 in y 1.154 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.154 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.154 * [taylor]: Taking taylor expansion of -1 in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [taylor]: Taking taylor expansion of 0 in y 1.163 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.163 * [approximate]: Taking taylor expansion of (/ 1 (* x (exp y))) in (x y) around 0 1.163 * [taylor]: Taking taylor expansion of (/ 1 (* x (exp y))) in y 1.163 * [taylor]: Taking taylor expansion of (* x (exp y)) in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of (exp y) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 (* x (exp y))) in x 1.163 * [taylor]: Taking taylor expansion of (* x (exp y)) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (exp y) in x 1.163 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (* x (exp y))) in x 1.164 * [taylor]: Taking taylor expansion of (* x (exp y)) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (exp y) in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 (exp y)) in y 1.165 * [taylor]: Taking taylor expansion of (exp y) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.174 * [taylor]: Taking taylor expansion of 0 in y 1.176 * [approximate]: Taking taylor expansion of (/ x (exp (/ 1 y))) in (x y) around 0 1.176 * [taylor]: Taking taylor expansion of (/ x (exp (/ 1 y))) in y 1.176 * [taylor]: Taking taylor expansion of x in y 1.176 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of (/ x (exp (/ 1 y))) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (/ x (exp (/ 1 y))) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 y))) in y 1.177 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.180 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [approximate]: Taking taylor expansion of (* -1 (/ x (exp (/ -1 y)))) in (x y) around 0 1.182 * [taylor]: Taking taylor expansion of (* -1 (/ x (exp (/ -1 y)))) in y 1.182 * [taylor]: Taking taylor expansion of -1 in y 1.182 * [taylor]: Taking taylor expansion of (/ x (exp (/ -1 y))) in y 1.182 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.182 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.182 * [taylor]: Taking taylor expansion of -1 in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (* -1 (/ x (exp (/ -1 y)))) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of (/ x (exp (/ -1 y))) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [taylor]: Taking taylor expansion of (* -1 (/ x (exp (/ -1 y)))) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of (/ x (exp (/ -1 y))) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 (exp (/ -1 y))) in y 1.183 * [taylor]: Taking taylor expansion of -1 in y 1.183 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.183 * [taylor]: Taking taylor expansion of -1 in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.185 * [taylor]: Taking taylor expansion of 0 in y 1.187 * [taylor]: Taking taylor expansion of 0 in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.190 * * * [progress]: simplifying candidates 1.190 * [simplify]: Simplifying using # : (* x (exp y)) (+ (log x) y) (log (* x (exp y))) (exp (* x (exp y))) (* (* (* x x) x) (* (* (exp y) (exp y)) (exp y))) (* (cbrt (* x (exp y))) (cbrt (* x (exp y)))) (cbrt (* x (exp y))) (* (* (* x (exp y)) (* x (exp y))) (* x (exp y))) (sqrt (* x (exp y))) (sqrt (* x (exp y))) (* (sqrt x) (sqrt (exp y))) (* (sqrt x) (sqrt (exp y))) (* x (* (cbrt (exp y)) (cbrt (exp y)))) (* x (sqrt (exp y))) (* x 1) (* (cbrt x) (exp y)) (* (sqrt x) (exp y)) (* x (exp y)) (- 1) (- 1) (- (+ (log x) y)) (- (log (* x (exp y)))) (- 0 (+ (log x) y)) (- 0 (log (* x (exp y)))) (- (log 1) (+ (log x) y)) (- (log 1) (log (* x (exp y)))) (log (/ 1 (* x (exp y)))) (exp (/ 1 (* x (exp y)))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* (exp y) (exp y)) (exp y)))) (/ (* (* 1 1) 1) (* (* (* x (exp y)) (* x (exp y))) (* x (exp y)))) (* (cbrt (/ 1 (* x (exp y)))) (cbrt (/ 1 (* x (exp y))))) (cbrt (/ 1 (* x (exp y)))) (* (* (/ 1 (* x (exp y))) (/ 1 (* x (exp y)))) (/ 1 (* x (exp y)))) (sqrt (/ 1 (* x (exp y)))) (sqrt (/ 1 (* x (exp y)))) (- 1) (- (* x (exp y))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (exp y)) (/ (sqrt 1) x) (/ (sqrt 1) (exp y)) (/ 1 x) (/ 1 (exp y)) (/ 1 (* x (exp y))) (/ (* x (exp y)) 1) (/ 1 x) (/ (* x (exp y)) (cbrt 1)) (/ (* x (exp y)) (sqrt 1)) (/ (* x (exp y)) 1) (+ (* 1/2 (* x (pow y 2))) (+ x (* x y))) (* x (exp y)) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ 1 (* x (exp y))) (/ 1 (* x (exp y))) 1.190 * [simplify]: Sending expressions to egg_math: (* h0 (exp h1)) (+ (log h0) h1) (log (* h0 (exp h1))) (exp (* h0 (exp h1))) (* (* (* h0 h0) h0) (* (* (exp h1) (exp h1)) (exp h1))) (* (cbrt (* h0 (exp h1))) (cbrt (* h0 (exp h1)))) (cbrt (* h0 (exp h1))) (* (* (* h0 (exp h1)) (* h0 (exp h1))) (* h0 (exp h1))) (sqrt (* h0 (exp h1))) (sqrt (* h0 (exp h1))) (* (sqrt h0) (sqrt (exp h1))) (* (sqrt h0) (sqrt (exp h1))) (* h0 (* (cbrt (exp h1)) (cbrt (exp h1)))) (* h0 (sqrt (exp h1))) (* h0 1) (* (cbrt h0) (exp h1)) (* (sqrt h0) (exp h1)) (* h0 (exp h1)) (- 1) (- 1) (- (+ (log h0) h1)) (- (log (* h0 (exp h1)))) (- 0 (+ (log h0) h1)) (- 0 (log (* h0 (exp h1)))) (- (log 1) (+ (log h0) h1)) (- (log 1) (log (* h0 (exp h1)))) (log (/ 1 (* h0 (exp h1)))) (exp (/ 1 (* h0 (exp h1)))) (/ (* (* 1 1) 1) (* (* (* h0 h0) h0) (* (* (exp h1) (exp h1)) (exp h1)))) (/ (* (* 1 1) 1) (* (* (* h0 (exp h1)) (* h0 (exp h1))) (* h0 (exp h1)))) (* (cbrt (/ 1 (* h0 (exp h1)))) (cbrt (/ 1 (* h0 (exp h1))))) (cbrt (/ 1 (* h0 (exp h1)))) (* (* (/ 1 (* h0 (exp h1))) (/ 1 (* h0 (exp h1)))) (/ 1 (* h0 (exp h1)))) (sqrt (/ 1 (* h0 (exp h1)))) (sqrt (/ 1 (* h0 (exp h1)))) (- 1) (- (* h0 (exp h1))) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) (exp h1)) (/ (sqrt 1) h0) (/ (sqrt 1) (exp h1)) (/ 1 h0) (/ 1 (exp h1)) (/ 1 (* h0 (exp h1))) (/ (* h0 (exp h1)) 1) (/ 1 h0) (/ (* h0 (exp h1)) (cbrt 1)) (/ (* h0 (exp h1)) (sqrt 1)) (/ (* h0 (exp h1)) 1) (+ (* 1/2 (* h0 (pow h1 2))) (+ h0 (* h0 h1))) (* h0 (exp h1)) (* h0 (exp h1)) (- (+ (* 1/2 (/ (pow h1 2) h0)) (/ 1 h0)) (/ h1 h0)) (/ 1 (* h0 (exp h1))) (/ 1 (* h0 (exp h1))) 1.195 * * [simplify]: iteration 0 : 173 enodes (cost 203 ) 1.199 * * [simplify]: iteration 1 : 786 enodes (cost 170 ) 1.220 * * [simplify]: iteration 2 : 4230 enodes (cost 163 ) 1.292 * * [simplify]: iteration 3 : 5002 enodes (cost 163 ) 1.293 * [simplify]: Simplified to: (* x (exp y)) (+ y (log x)) (+ y (log x)) (exp (* x (exp y))) (pow (* x (exp y)) 3) (* (cbrt (* x (exp y))) (cbrt (* x (exp y)))) (cbrt (* x (exp y))) (pow (* x (exp y)) 3) (sqrt (* x (exp y))) (sqrt (* x (exp y))) (* (sqrt x) (sqrt (exp y))) (* (sqrt x) (sqrt (exp y))) (* x (* (cbrt (exp y)) (cbrt (exp y)))) (* x (sqrt (exp y))) x (* (cbrt x) (exp y)) (* (sqrt x) (exp y)) (* x (exp y)) (- 1) (- 1) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (- 0 (+ (log x) y)) (exp (/ 1 (* x (exp y)))) (/ 1 (pow (* x (exp y)) 3)) (/ 1 (pow (* x (exp y)) 3)) (* (cbrt (/ 1 (* x (exp y)))) (cbrt (/ 1 (* x (exp y))))) (cbrt (/ 1 (* x (exp y)))) (/ 1 (pow (* x (exp y)) 3)) (sqrt (/ 1 (* x (exp y)))) (sqrt (/ 1 (* x (exp y)))) (- 1) (- (* x (exp y))) (/ 1 x) (/ 1 (exp y)) (/ 1 x) (/ 1 (exp y)) (/ 1 x) (/ 1 (exp y)) (/ 1 (* x (exp y))) (* x (exp y)) (/ 1 x) (* x (exp y)) (* x (exp y)) (* x (exp y)) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (exp y)) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ 1 (* x (exp y))) (/ 1 (* x (exp y))) 1.294 * * * [progress]: adding candidates to table 1.366 * * [progress]: iteration 4 / 4 1.366 * * * [progress]: picking best candidate 1.375 * * * * [pick]: Picked # 1.375 * * * [progress]: localizing error 1.384 * * * [progress]: generating rewritten candidates 1.384 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.448 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.493 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.515 * * * [progress]: generating series expansions 1.515 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.515 * [approximate]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in (x y) around 0 1.515 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in y 1.515 * [taylor]: Taking taylor expansion of x in y 1.515 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.515 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.515 * [taylor]: Taking taylor expansion of 1/2 in y 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.516 * [taylor]: Taking taylor expansion of y in y 1.516 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.516 * [taylor]: Taking taylor expansion of y in y 1.516 * [taylor]: Taking taylor expansion of 1 in y 1.516 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in x 1.516 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in x 1.516 * [taylor]: Taking taylor expansion of 1/2 in x 1.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (+ y 1) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of 1 in x 1.516 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in x 1.516 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in x 1.516 * [taylor]: Taking taylor expansion of 1/2 in x 1.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (+ y 1) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of 1 in x 1.516 * [taylor]: Taking taylor expansion of 0 in y 1.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.518 * [taylor]: Taking taylor expansion of 1/2 in y 1.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.525 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) x) in (x y) around 0 1.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) x) in y 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of 1/2 in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [taylor]: Taking taylor expansion of 1 in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) x) in x 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.527 * [taylor]: Taking taylor expansion of y in x 1.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.527 * [taylor]: Taking taylor expansion of 1/2 in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.527 * [taylor]: Taking taylor expansion of y in x 1.527 * [taylor]: Taking taylor expansion of 1 in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) x) in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.528 * [taylor]: Taking taylor expansion of 1/2 in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of 1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.529 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.529 * [taylor]: Taking taylor expansion of 1/2 in y 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.530 * [taylor]: Taking taylor expansion of 1 in y 1.532 * [taylor]: Taking taylor expansion of 0 in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.540 * [approximate]: Taking taylor expansion of (* -1 (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x)) in (x y) around 0 1.540 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x)) in y 1.540 * [taylor]: Taking taylor expansion of -1 in y 1.540 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x) in y 1.540 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.540 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.540 * [taylor]: Taking taylor expansion of 1/2 in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of 1 in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of x in y 1.542 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x)) in x 1.542 * [taylor]: Taking taylor expansion of -1 in x 1.542 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x) in x 1.542 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in x 1.542 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.542 * [taylor]: Taking taylor expansion of 1/2 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.542 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of 1 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.542 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x)) in x 1.543 * [taylor]: Taking taylor expansion of -1 in x 1.543 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) x) in x 1.543 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in x 1.543 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.543 * [taylor]: Taking taylor expansion of 1/2 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of 1 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (* -1 (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y))) in y 1.544 * [taylor]: Taking taylor expansion of -1 in y 1.544 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.544 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.544 * [taylor]: Taking taylor expansion of 1/2 in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.544 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of 1 in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of 0 in y 1.554 * [taylor]: Taking taylor expansion of 0 in y 1.558 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.558 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) in (x y) around 0 1.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) in y 1.558 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.558 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of 1/2 in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of 1 in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) in x 1.559 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in x 1.559 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in x 1.559 * [taylor]: Taking taylor expansion of 1/2 in x 1.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of (+ y 1) in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of 1 in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) in x 1.561 * [taylor]: Taking taylor expansion of (* x (+ (* 1/2 (pow y 2)) (+ y 1))) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in x 1.561 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in x 1.561 * [taylor]: Taking taylor expansion of 1/2 in x 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.561 * [taylor]: Taking taylor expansion of (+ y 1) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.561 * [taylor]: Taking taylor expansion of 1 in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1/2 (pow y 2)) (+ y 1))) in y 1.563 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.563 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.563 * [taylor]: Taking taylor expansion of 1/2 in y 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of 1 in y 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [approximate]: Taking taylor expansion of (/ x (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1))) in (x y) around 0 1.572 * [taylor]: Taking taylor expansion of (/ x (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1))) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.573 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of 1/2 in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.573 * [taylor]: Taking taylor expansion of 1 in y 1.574 * [taylor]: Taking taylor expansion of (/ x (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1))) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.574 * [taylor]: Taking taylor expansion of 1/2 in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of 1 in x 1.575 * [taylor]: Taking taylor expansion of (/ x (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1))) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.575 * [taylor]: Taking taylor expansion of 1/2 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of 1 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1))) in y 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.576 * [taylor]: Taking taylor expansion of 1/2 in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of 1 in y 1.580 * [taylor]: Taking taylor expansion of 0 in y 1.584 * [taylor]: Taking taylor expansion of 0 in y 1.588 * [approximate]: Taking taylor expansion of (* -1 (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)))) in (x y) around 0 1.588 * [taylor]: Taking taylor expansion of (* -1 (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)))) in y 1.588 * [taylor]: Taking taylor expansion of -1 in y 1.588 * [taylor]: Taking taylor expansion of (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y))) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.588 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.588 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.588 * [taylor]: Taking taylor expansion of 1/2 in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of 1 in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of (* -1 (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)))) in x 1.590 * [taylor]: Taking taylor expansion of -1 in x 1.590 * [taylor]: Taking taylor expansion of (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y))) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in x 1.590 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.590 * [taylor]: Taking taylor expansion of 1/2 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.590 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of 1 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.590 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of (* -1 (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)))) in x 1.591 * [taylor]: Taking taylor expansion of -1 in x 1.591 * [taylor]: Taking taylor expansion of (/ x (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y))) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in x 1.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in x 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in x 1.591 * [taylor]: Taking taylor expansion of 1/2 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.591 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of 1 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.591 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y))) in y 1.592 * [taylor]: Taking taylor expansion of -1 in y 1.592 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.592 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.592 * [taylor]: Taking taylor expansion of 1/2 in y 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.592 * [taylor]: Taking taylor expansion of y in y 1.593 * [taylor]: Taking taylor expansion of 1 in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.593 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.602 * [taylor]: Taking taylor expansion of 0 in y 1.606 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.606 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in (y) around 0 1.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.606 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.606 * [taylor]: Taking taylor expansion of 1/2 in y 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of 1 in y 1.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow y 2)) (+ y 1)) in y 1.607 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 1.607 * [taylor]: Taking taylor expansion of 1/2 in y 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of (+ y 1) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of 1 in y 1.609 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in (y) around 0 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.610 * [taylor]: Taking taylor expansion of 1/2 in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of 1 in y 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (* 1/2 (/ 1 (pow y 2))) 1)) in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.610 * [taylor]: Taking taylor expansion of 1/2 in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.611 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of 1 in y 1.619 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in (y) around 0 1.619 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.619 * [taylor]: Taking taylor expansion of 1/2 in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of 1 in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow y 2))) 1) (/ 1 y)) in y 1.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow y 2))) 1) in y 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.620 * [taylor]: Taking taylor expansion of 1/2 in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of 1 in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.627 * * * [progress]: simplifying candidates 1.628 * [simplify]: Simplifying using # : (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (log x) (log (+ (* 1/2 (pow y 2)) (+ y 1)))) (log (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (exp (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (* (* x x) x) (* (* (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (* (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (sqrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (sqrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (sqrt x) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (sqrt x) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x (* 1/2 (pow y 2))) (* x (+ y 1)) (* (* 1/2 (pow y 2)) x) (* (+ y 1) x) (* x (* (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))))) (* x (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x 1) (* (cbrt x) (+ (* 1/2 (pow y 2)) (+ y 1))) (* (sqrt x) (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3))) (* x (- (* (* 1/2 (pow y 2)) (* 1/2 (pow y 2))) (* (+ y 1) (+ y 1)))) (- 1) (- 1) (- (+ (log x) (log (+ (* 1/2 (pow y 2)) (+ y 1))))) (- (log (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (- 0 (+ (log x) (log (+ (* 1/2 (pow y 2)) (+ y 1))))) (- 0 (log (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (- (log 1) (+ (log x) (log (+ (* 1/2 (pow y 2)) (+ y 1))))) (- (log 1) (log (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (exp (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (* 1/2 (pow y 2)) (+ y 1))))) (/ (* (* 1 1) 1) (* (* (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (* (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))))) (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (* (* (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (sqrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (sqrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (- 1) (- (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (+ (* 1/2 (pow y 2)) (+ y 1))) (/ (sqrt 1) x) (/ (sqrt 1) (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 x) (/ 1 (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (/ (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 1) (/ 1 x) (/ (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (cbrt 1)) (/ (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (sqrt 1)) (/ (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 1) (/ 1 (* x (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3)))) (/ 1 (* x (- (* (* 1/2 (pow y 2)) (* 1/2 (pow y 2))) (* (+ y 1) (+ y 1))))) (* (exp (* 1/2 (pow y 2))) (* (exp y) (exp 1))) (* (exp (* 1/2 (pow y 2))) (exp (+ y 1))) (log (+ (* 1/2 (pow y 2)) (+ y 1))) (exp (+ (* 1/2 (pow y 2)) (+ y 1))) (* (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (* (* (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (* 1/2 (pow y 2)) (+ y 1))) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1))) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3)) (+ (* (* 1/2 (pow y 2)) (* 1/2 (pow y 2))) (- (* (+ y 1) (+ y 1)) (* (* 1/2 (pow y 2)) (+ y 1)))) (- (* (* 1/2 (pow y 2)) (* 1/2 (pow y 2))) (* (+ y 1) (+ y 1))) (- (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) y) (+ (* 1/2 (* x (pow y 2))) (+ x (* x y))) (+ (* 1/2 (* x (pow y 2))) (+ x (* x y))) (+ (* 1/2 (* x (pow y 2))) (+ x (* x y))) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (- (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* x (pow y 4))))) (* 4 (/ 1 (* x (pow y 3))))) (- (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* x (pow y 4))))) (* 4 (/ 1 (* x (pow y 3))))) (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1)) 1.628 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (+ (log h0) (log (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (log (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (exp (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* (* (* h0 h0) h0) (* (* (+ (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* (cbrt (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (cbrt (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (cbrt (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* (* (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (sqrt (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (sqrt (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* (sqrt h0) (sqrt (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* (sqrt h0) (sqrt (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* h0 (* 1/2 (pow h1 2))) (* h0 (+ h1 1)) (* (* 1/2 (pow h1 2)) h0) (* (+ h1 1) h0) (* h0 (* (cbrt (+ (* 1/2 (pow h1 2)) (+ h1 1))) (cbrt (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (* h0 (sqrt (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* h0 1) (* (cbrt h0) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* (sqrt h0) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* h0 (+ (pow (* 1/2 (pow h1 2)) 3) (pow (+ h1 1) 3))) (* h0 (- (* (* 1/2 (pow h1 2)) (* 1/2 (pow h1 2))) (* (+ h1 1) (+ h1 1)))) (- 1) (- 1) (- (+ (log h0) (log (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- (log (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- 0 (+ (log h0) (log (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- 0 (log (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- (log 1) (+ (log h0) (log (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- (log 1) (log (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (log (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (exp (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (/ (* (* 1 1) 1) (* (* (* h0 h0) h0) (* (* (+ (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (/ (* (* 1 1) 1) (* (* (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (* (cbrt (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (cbrt (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))))) (cbrt (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (* (* (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (sqrt (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (sqrt (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))))) (- 1) (- (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (/ (sqrt 1) h0) (/ (sqrt 1) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (/ 1 h0) (/ 1 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (/ 1 (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (/ (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) 1) (/ 1 h0) (/ (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (cbrt 1)) (/ (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) (sqrt 1)) (/ (* h0 (+ (* 1/2 (pow h1 2)) (+ h1 1))) 1) (/ 1 (* h0 (+ (pow (* 1/2 (pow h1 2)) 3) (pow (+ h1 1) 3)))) (/ 1 (* h0 (- (* (* 1/2 (pow h1 2)) (* 1/2 (pow h1 2))) (* (+ h1 1) (+ h1 1))))) (* (exp (* 1/2 (pow h1 2))) (* (exp h1) (exp 1))) (* (exp (* 1/2 (pow h1 2))) (exp (+ h1 1))) (log (+ (* 1/2 (pow h1 2)) (+ h1 1))) (exp (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* (cbrt (+ (* 1/2 (pow h1 2)) (+ h1 1))) (cbrt (+ (* 1/2 (pow h1 2)) (+ h1 1)))) (cbrt (+ (* 1/2 (pow h1 2)) (+ h1 1))) (* (* (+ (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (+ (* 1/2 (pow h1 2)) (+ h1 1))) (sqrt (+ (* 1/2 (pow h1 2)) (+ h1 1))) (sqrt (+ (* 1/2 (pow h1 2)) (+ h1 1))) (+ (pow (* 1/2 (pow h1 2)) 3) (pow (+ h1 1) 3)) (+ (* (* 1/2 (pow h1 2)) (* 1/2 (pow h1 2))) (- (* (+ h1 1) (+ h1 1)) (* (* 1/2 (pow h1 2)) (+ h1 1)))) (- (* (* 1/2 (pow h1 2)) (* 1/2 (pow h1 2))) (* (+ h1 1) (+ h1 1))) (- (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) h1) (+ (* 1/2 (* h0 (pow h1 2))) (+ h0 (* h0 h1))) (+ (* 1/2 (* h0 (pow h1 2))) (+ h0 (* h0 h1))) (+ (* 1/2 (* h0 (pow h1 2))) (+ h0 (* h0 h1))) (- (+ (* 1/2 (/ (pow h1 2) h0)) (/ 1 h0)) (/ h1 h0)) (- (+ (* 2 (/ 1 (* h0 (pow h1 2)))) (* 4 (/ 1 (* h0 (pow h1 4))))) (* 4 (/ 1 (* h0 (pow h1 3))))) (- (+ (* 2 (/ 1 (* h0 (pow h1 2)))) (* 4 (/ 1 (* h0 (pow h1 4))))) (* 4 (/ 1 (* h0 (pow h1 3))))) (+ (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) (+ h1 1)) (+ (* 1/2 (pow h1 2)) (+ h1 1)) 1.634 * * [simplify]: iteration 0 : 339 enodes (cost 550 ) 1.643 * * [simplify]: iteration 1 : 1749 enodes (cost 468 ) 1.683 * * [simplify]: iteration 2 : 5002 enodes (cost 462 ) 1.686 * [simplify]: Simplified to: (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (log (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (log (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (exp (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (pow (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 3) (* (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (cbrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (pow (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 3) (sqrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (sqrt (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (sqrt x) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (* (sqrt x) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x (* 1/2 (pow y 2))) (* x (+ y 1)) (* x (* 1/2 (pow y 2))) (* x (+ y 1)) (* x (* (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))))) (* x (sqrt (+ (* 1/2 (pow y 2)) (+ y 1)))) x (* (cbrt x) (+ (* 1/2 (pow y 2)) (+ y 1))) (* (sqrt x) (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3))) (* x (- (- (* (pow y 4) 1/4) (* (+ y 1) y)) (+ y 1))) (- 1) (- 1) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (log (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (exp (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (/ 1 (pow (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 3)) (/ 1 (pow (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 3)) (* (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))))) (cbrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (/ 1 (pow (* x (+ (* 1/2 (pow y 2)) (+ y 1))) 3)) (sqrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (sqrt (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1))))) (- 1) (- (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (/ 1 x) (/ 1 (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 x) (/ 1 (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 x) (/ 1 (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 (* x (+ (* 1/2 (pow y 2)) (+ y 1)))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 x) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (/ 1 (* x (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3)))) (/ 1 (* (- (- (* (pow y 4) 1/4) (* (+ y 1) y)) (+ y 1)) x)) (exp (+ (* 1/2 (pow y 2)) (+ y 1))) (exp (+ (* 1/2 (pow y 2)) (+ y 1))) (log (+ (* 1/2 (pow y 2)) (+ y 1))) (exp (+ (* 1/2 (pow y 2)) (+ y 1))) (* (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1)))) (cbrt (+ (* 1/2 (pow y 2)) (+ y 1))) (pow (+ (* 1/2 (pow y 2)) (+ y 1)) 3) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1))) (sqrt (+ (* 1/2 (pow y 2)) (+ y 1))) (+ (pow (* 1/2 (pow y 2)) 3) (pow (+ y 1) 3)) (+ (* (+ y 1) (- (+ y 1) (* 1/2 (pow y 2)))) (* 1/4 (* (pow y 2) (pow y 2)))) (- (- (* (pow y 4) 1/4) (* (+ y 1) y)) (+ y 1)) (- (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) y) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (* x (+ (* 1/2 (pow y 2)) (+ y 1))) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (+ (/ 4 (* x (pow y 4))) (- (/ 2 (* x (pow y 2))) (/ 4 (* x (pow y 3))))) (+ (/ 4 (* x (pow y 4))) (- (/ 2 (* x (pow y 2))) (/ 4 (* x (pow y 3))))) (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1)) (+ (* 1/2 (pow y 2)) (+ y 1)) 1.686 * * * [progress]: adding candidates to table 1.823 * [progress]: [Phase 3 of 3] Extracting. 1.823 * * [regime]: Finding splitpoints for: (# # # # # #) 1.824 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.824 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.862 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.901 * * * [regime]: Found split indices: #