10.714 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.014 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.014 * [simplify]: Simplified to: (/ x (+ x y)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (+ x y) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ x y) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of y in x 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ x y) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of y in x 0.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.036 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.049 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.062 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.066 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.069 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.074 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.091 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.139 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.140 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.141 * * * [progress]: adding candidates to table 0.195 * * [progress]: iteration 2 / 4 0.195 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.211 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.222 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (+ x y) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ x y) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ x y) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.234 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.236 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.247 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1 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 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.260 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.260 * [taylor]: Taking taylor expansion of (+ x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.261 * [taylor]: Taking taylor expansion of (+ x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.261 * [taylor]: Taking taylor expansion of (+ x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.292 * * [simplify]: iteration 0 : 346 enodes (cost 800 ) 0.299 * * [simplify]: iteration 1 : 1531 enodes (cost 702 ) 0.322 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.327 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.327 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 3 / 4 0.458 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.465 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.475 * * * [progress]: generating series expansions 0.475 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.475 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.475 * [taylor]: Taking taylor expansion of (/ y x) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 1 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.475 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.475 * [taylor]: Taking taylor expansion of (/ y x) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.476 * [taylor]: Taking taylor expansion of (/ y x) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.483 * [taylor]: Taking taylor expansion of (/ x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.484 * [taylor]: Taking taylor expansion of (/ x y) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.484 * [taylor]: Taking taylor expansion of (/ x y) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.496 * [taylor]: Taking taylor expansion of (/ x y) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of 1 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.497 * [taylor]: Taking taylor expansion of (/ x y) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.497 * [taylor]: Taking taylor expansion of (/ x y) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.510 * * * [progress]: simplifying candidates 0.510 * [simplify]: Simplifying using # : (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) 0 0 0 0.514 * * [simplify]: iteration 0 : 126 enodes (cost 204 ) 0.518 * * [simplify]: iteration 1 : 546 enodes (cost 164 ) 0.524 * * [simplify]: iteration 2 : 1369 enodes (cost 164 ) 0.542 * * [simplify]: iteration 3 : 3712 enodes (cost 164 ) 0.651 * * [simplify]: iteration 4 : 5001 enodes (cost 164 ) 0.653 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) 0 0 0 0.653 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 4 / 4 0.696 * * * [progress]: picking best candidate 0.698 * * * * [pick]: Picked # 0.698 * * * [progress]: localizing error 0.706 * * * [progress]: generating rewritten candidates 0.706 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.720 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.731 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.746 * * * [progress]: generating series expansions 0.746 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.746 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.746 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.746 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.746 * [taylor]: Taking taylor expansion of (/ y x) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of 1 in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.746 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.746 * [taylor]: Taking taylor expansion of (/ y x) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of 1 in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.747 * [taylor]: Taking taylor expansion of (/ y x) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of 1 in y 0.748 * [taylor]: Taking taylor expansion of 1 in x 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.754 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.755 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.755 * [taylor]: Taking taylor expansion of (/ x y) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.755 * [taylor]: Taking taylor expansion of (/ x y) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of 1 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.755 * [taylor]: Taking taylor expansion of (/ x y) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of 1 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.768 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.768 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.768 * [taylor]: Taking taylor expansion of (/ x y) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of 1 in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.769 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.769 * [taylor]: Taking taylor expansion of (/ x y) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of 1 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.769 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.769 * [taylor]: Taking taylor expansion of (/ x y) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of 1 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.782 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.782 * [approximate]: Taking taylor expansion of (/ 1 (pow (+ (/ y x) 1) 3)) in (y x) around 0 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ y x) 1) 3)) in x 0.782 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.782 * [taylor]: Taking taylor expansion of (/ y x) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of 1 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ y x) 1) 3)) in y 0.782 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in y 0.782 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.782 * [taylor]: Taking taylor expansion of (/ y x) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of 1 in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ y x) 1) 3)) in y 0.783 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in y 0.783 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.784 * [taylor]: Taking taylor expansion of (/ y x) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of 1 in y 0.785 * [taylor]: Taking taylor expansion of 1 in x 0.785 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x))) in x 0.785 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of 3 in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 2))) in x 0.789 * [taylor]: Taking taylor expansion of 6 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.801 * [approximate]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in (y x) around 0 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in x 0.801 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.801 * [taylor]: Taking taylor expansion of (/ x y) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of 1 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in y 0.802 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.802 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.803 * [taylor]: Taking taylor expansion of (/ x y) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in y 0.803 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.803 * [taylor]: Taking taylor expansion of (/ x y) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x 4)))) in x 0.809 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x 4))) in x 0.809 * [taylor]: Taking taylor expansion of 3 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 5))) in x 0.820 * [taylor]: Taking taylor expansion of 6 in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.837 * [approximate]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in (y x) around 0 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in x 0.837 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in x 0.837 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.837 * [taylor]: Taking taylor expansion of (/ x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of 1 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in y 0.838 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.838 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.838 * [taylor]: Taking taylor expansion of (/ x y) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 1 in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (/ x y) 1) 3)) in y 0.838 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.839 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.839 * [taylor]: Taking taylor expansion of (/ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 1 in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x 4)))) in x 0.845 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x 4))) in x 0.845 * [taylor]: Taking taylor expansion of 3 in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 5))) in x 0.856 * [taylor]: Taking taylor expansion of 6 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.874 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.874 * [approximate]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in (y x) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.874 * [taylor]: Taking taylor expansion of (/ y x) in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of 1 in x 0.875 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.875 * [taylor]: Taking taylor expansion of (/ y x) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of 1 in y 0.875 * [taylor]: Taking taylor expansion of (pow (+ (/ y x) 1) 3) in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.875 * [taylor]: Taking taylor expansion of (/ y x) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of 1 in y 0.876 * [taylor]: Taking taylor expansion of 1 in x 0.876 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of 3 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x 2))) in x 0.878 * [taylor]: Taking taylor expansion of 3 in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.882 * [approximate]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in (y x) around 0 0.882 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in x 0.882 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.882 * [taylor]: Taking taylor expansion of (/ x y) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1 in x 0.882 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.882 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.882 * [taylor]: Taking taylor expansion of (/ x y) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 1 in y 0.882 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.882 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.882 * [taylor]: Taking taylor expansion of (/ x y) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 1 in y 0.883 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (* 3 (pow x 2)) in x 0.884 * [taylor]: Taking taylor expansion of 3 in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* 3 x) in x 0.885 * [taylor]: Taking taylor expansion of 3 in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1 in x 0.889 * [approximate]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in (y x) around 0 0.889 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.889 * [taylor]: Taking taylor expansion of (/ x y) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of 1 in x 0.889 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.889 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.890 * [taylor]: Taking taylor expansion of (/ x y) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [taylor]: Taking taylor expansion of (pow (+ (/ x y) 1) 3) in y 0.890 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.890 * [taylor]: Taking taylor expansion of (/ x y) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 3 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of 3 in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (* 3 x) in x 0.892 * [taylor]: Taking taylor expansion of 3 in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of 1 in x 0.896 * * * [progress]: simplifying candidates 0.899 * [simplify]: Simplifying using # : (log (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (exp (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (* (cbrt (/ 1 (pow (+ (/ y x) 1) 3))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3))))) (cbrt (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (sqrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (sqrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) 3))) (cbrt (/ (cbrt 1) (pow (cbrt (+ (/ y x) 1)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (cbrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ (cbrt 1) (+ (/ y x) 1))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (+ (/ y x) 1) 3)) (cbrt (pow (+ (/ y x) 1) 3))))) (cbrt (/ (cbrt 1) (cbrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) 3))) (cbrt (/ (cbrt 1) (pow (cbrt (+ (/ y x) 1)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (cbrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (+ (/ y x) 1))) (cbrt (/ (cbrt 1) (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (cbrt 1) (sqrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (+ (/ y x) 1) (/ 3 2)))) (cbrt (/ (cbrt 1) (pow (+ (/ y x) 1) (/ 3 2)))) (cbrt (/ (sqrt 1) (pow (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) 3))) (cbrt (/ (sqrt 1) (pow (cbrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (sqrt 1) (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ (sqrt 1) (+ (/ y x) 1))) (cbrt (/ (sqrt 1) (* (cbrt (pow (+ (/ y x) 1) 3)) (cbrt (pow (+ (/ y x) 1) 3))))) (cbrt (/ (sqrt 1) (cbrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (sqrt 1) (pow (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) 3))) (cbrt (/ (sqrt 1) (pow (cbrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (sqrt 1) (+ (/ y x) 1))) (cbrt (/ (sqrt 1) (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ (sqrt 1) (sqrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (sqrt 1) (sqrt (pow (+ (/ y x) 1) 3)))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) 3))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) (/ 3 2)))) (cbrt (/ (sqrt 1) (pow (+ (/ y x) 1) (/ 3 2)))) (cbrt (/ 1 (pow (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) 3))) (cbrt (/ 1 (pow (cbrt (+ (/ y x) 1)) 3))) (cbrt (/ 1 (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ 1 (pow (sqrt (+ (/ y x) 1)) 3))) (cbrt (/ 1 (pow 1 3))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3))) (cbrt (/ 1 (pow 1 3))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3))) (cbrt (/ 1 (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (* (cbrt (pow (+ (/ y x) 1) 3)) (cbrt (pow (+ (/ y x) 1) 3))))) (cbrt (/ 1 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3) (* (+ (/ y x) 1) (+ (/ y x) 1)) (sqrt (pow (+ (/ y x) 1) 3)) (sqrt (pow (+ (/ y x) 1) 3)) (pow (+ (/ y x) 1) (/ 3 2)) (pow (+ (/ y x) 1) (/ 3 2)) 0 0 0 0 0 0 (+ (* 3 (/ y x)) (+ (/ (pow y 3) (pow x 3)) (* 3 (/ (pow y 2) (pow x 2))))) (+ 1 (+ (* 3 (/ y x)) (* 3 (/ (pow y 2) (pow x 2))))) (+ 1 (+ (* 3 (/ y x)) (* 3 (/ (pow y 2) (pow x 2))))) 0.908 * * [simplify]: iteration 0 : 353 enodes (cost 1344 ) 0.915 * * [simplify]: iteration 1 : 1726 enodes (cost 1068 ) 0.949 * * [simplify]: iteration 2 : 5001 enodes (cost 1036 ) 0.956 * [simplify]: Simplified to: (log (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (exp (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (* (cbrt (/ 1 (pow (+ (/ y x) 1) 3))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3))))) (cbrt (cbrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (sqrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (sqrt (/ 1 (pow (+ (/ y x) 1) 3)))) (cbrt (/ 1 (* (+ (/ y x) 1) (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3/2))) (cbrt (/ 1 (pow (+ (/ y x) 1) 3/2))) 1 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(cbrt 3) (cbrt 3))) (pow (+ (/ y x) 1) (sqrt 3)) (+ (/ y x) 1) (pow (+ (/ y x) 1) 2) (+ (/ y x) 1) (pow (+ (/ y x) 1) 3/2) (pow (+ (/ y x) 1) 3/2) 1 (pow (+ (/ y x) 1) 3) 1 (pow (+ (/ y x) 1) 3) (pow (+ (/ y x) 1) 2) (log (pow (+ (/ y x) 1) 3)) (exp (pow (+ (/ y x) 1) 3)) (pow (+ (/ y x) 1) 2) (+ (/ y x) 1) (pow (pow (+ (/ y x) 1) 3) 3) (pow (+ (/ y x) 1) 2) (+ (/ y x) 1) (pow (+ (/ y x) 1) 3/2) (pow (+ (/ y x) 1) 3/2) 1 (pow (+ (/ y x) 1) 3) 1 (pow (+ (/ y x) 1) 3) (pow (+ (pow (/ y x) 3) 1) 3) (pow (- (+ (* (/ y x) (/ y x)) 1) (/ y x)) 3) (pow (- (* (/ y x) (/ y x)) 1) 3) (pow (- (/ y x) 1) 3) (pow (+ (/ y x) 1) 2) (sqrt (pow (+ (/ y x) 1) 3)) (sqrt (pow (+ (/ y x) 1) 3)) (pow (+ (/ y x) 1) 3/2) (pow (+ (/ y x) 1) 3/2) 0 0 0 0 0 0 (+ (* 3 (+ (/ y x) (/ (pow y 2) (pow x 2)))) (pow (/ y x) 3)) (+ (* 3 (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1) (+ (* 3 (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1) 0.957 * * * [progress]: adding candidates to table 1.114 * [progress]: [Phase 3 of 3] Extracting. 1.114 * * [regime]: Finding splitpoints for: (# # #) 1.115 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.115 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.128 * * * * [regimes]: Trying to branch on y from (# # #) 1.140 * * * * [regimes]: Trying to branch on x from (# # #) 1.152 * * * [regime]: Found split indices: #