6.630 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* (* x y) y) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 2 ) 0.020 * * [simplify]: iteration 2 : 9 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (* (* x y) y) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (sqrt (* x y)) (sqrt y)) (* (sqrt (* x y)) (sqrt y)) (* (* (sqrt x) (sqrt y)) (sqrt y)) (* (* (sqrt x) (sqrt y)) (sqrt y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (cbrt (* x y)) y) (* (sqrt (* x y)) y) (* (* x y) y) (* (* (sqrt x) (sqrt y)) y) (* (cbrt y) y) (* (sqrt y) y) (* y y) (* (* (cbrt x) y) y) (* (* (sqrt x) y) y) (* (* x y) y) (* x y) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.074 * * [simplify]: iteration 0 : 129 enodes (cost 122 ) 0.077 * * [simplify]: iteration 1 : 510 enodes (cost 101 ) 0.090 * * [simplify]: iteration 2 : 2379 enodes (cost 101 ) 0.130 * * [simplify]: iteration 3 : 5002 enodes (cost 98 ) 0.131 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (sqrt (* x y)) (sqrt y)) (* (sqrt (* x y)) (sqrt y)) (* y (sqrt x)) (* y (sqrt x)) (* (* x y) (* (cbrt y) (cbrt y))) (* x (pow y 3/2)) (* x y) (pow y 2) (* (cbrt (* x y)) y) (* (sqrt (* x y)) y) (* (* x y) y) (* (sqrt x) (pow y 3/2)) (* (cbrt y) y) (pow y 3/2) (pow y 2) (* (* (cbrt x) y) y) (* (* (sqrt x) y) y) (* (* x y) y) (* x y) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.132 * * * [progress]: adding candidates to table 0.168 * * [progress]: iteration 2 / 4 0.168 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.190 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.217 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.217 * [taylor]: Taking taylor expansion of 1/3 in y 0.217 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.218 * [taylor]: Taking taylor expansion of (* x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.219 * [taylor]: Taking taylor expansion of 1/3 in x 0.219 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.219 * [taylor]: Taking taylor expansion of (* x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.219 * [taylor]: Taking taylor expansion of 1/3 in x 0.219 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.219 * [taylor]: Taking taylor expansion of (* x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.220 * [taylor]: Taking taylor expansion of 1/3 in y 0.220 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.220 * [taylor]: Taking taylor expansion of (log x) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (log y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.243 * [taylor]: Taking taylor expansion of 1/3 in y 0.243 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.243 * [taylor]: Taking taylor expansion of (* x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.244 * [taylor]: Taking taylor expansion of 1/3 in x 0.244 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.244 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.245 * [taylor]: Taking taylor expansion of 1/3 in x 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.245 * [taylor]: Taking taylor expansion of (* x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.246 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.246 * [taylor]: Taking taylor expansion of 1/3 in y 0.246 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.246 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (log x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.268 * [taylor]: Taking taylor expansion of 1/3 in y 0.268 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.268 * [taylor]: Taking taylor expansion of (* x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.269 * [taylor]: Taking taylor expansion of 1/3 in x 0.269 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.269 * [taylor]: Taking taylor expansion of (* x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.270 * [taylor]: Taking taylor expansion of 1/3 in x 0.270 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.270 * [taylor]: Taking taylor expansion of (* x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.271 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.271 * [taylor]: Taking taylor expansion of 1/3 in y 0.271 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.271 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (log x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.292 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.292 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.292 * [taylor]: Taking taylor expansion of 1/3 in y 0.292 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.292 * [taylor]: Taking taylor expansion of (* x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.293 * [taylor]: Taking taylor expansion of 1/3 in x 0.293 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.293 * [taylor]: Taking taylor expansion of (* x y) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.294 * [taylor]: Taking taylor expansion of 1/3 in x 0.294 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.295 * [taylor]: Taking taylor expansion of 1/3 in y 0.295 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.295 * [taylor]: Taking taylor expansion of (log x) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (log y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.318 * [taylor]: Taking taylor expansion of 1/3 in y 0.318 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.318 * [taylor]: Taking taylor expansion of (* x y) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.319 * [taylor]: Taking taylor expansion of 1/3 in x 0.319 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.319 * [taylor]: Taking taylor expansion of (* x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.320 * [taylor]: Taking taylor expansion of 1/3 in x 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.320 * [taylor]: Taking taylor expansion of (* x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.321 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.321 * [taylor]: Taking taylor expansion of 1/3 in y 0.321 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.322 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (log x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.343 * [taylor]: Taking taylor expansion of 1/3 in y 0.343 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.343 * [taylor]: Taking taylor expansion of (* x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.344 * [taylor]: Taking taylor expansion of 1/3 in x 0.344 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.345 * [taylor]: Taking taylor expansion of 1/3 in x 0.345 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.346 * [taylor]: Taking taylor expansion of 1/3 in y 0.346 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.346 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (log x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.367 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.367 * [taylor]: Taking taylor expansion of 1/3 in y 0.367 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.367 * [taylor]: Taking taylor expansion of (* x y) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.368 * [taylor]: Taking taylor expansion of 1/3 in x 0.368 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.368 * [taylor]: Taking taylor expansion of (* x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.369 * [taylor]: Taking taylor expansion of 1/3 in x 0.369 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.369 * [taylor]: Taking taylor expansion of (* x y) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.370 * [taylor]: Taking taylor expansion of 1/3 in y 0.370 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.370 * [taylor]: Taking taylor expansion of (log x) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (log y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.389 * [taylor]: Taking taylor expansion of 1/3 in y 0.389 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.389 * [taylor]: Taking taylor expansion of (* x y) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.390 * [taylor]: Taking taylor expansion of 1/3 in x 0.390 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.391 * [taylor]: Taking taylor expansion of 1/3 in x 0.391 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.391 * [taylor]: Taking taylor expansion of (* x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.392 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.392 * [taylor]: Taking taylor expansion of 1/3 in y 0.392 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.392 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (log x) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.417 * [taylor]: Taking taylor expansion of 1/3 in y 0.417 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.417 * [taylor]: Taking taylor expansion of (* x y) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.418 * [taylor]: Taking taylor expansion of 1/3 in x 0.418 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.418 * [taylor]: Taking taylor expansion of (* x y) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.419 * [taylor]: Taking taylor expansion of 1/3 in x 0.419 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.419 * [taylor]: Taking taylor expansion of (* x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.420 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.420 * [taylor]: Taking taylor expansion of 1/3 in y 0.420 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.420 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (log x) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.442 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 2)) 1/3) in y 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in y 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in y 0.442 * [taylor]: Taking taylor expansion of 1/3 in y 0.442 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 2)) 1/3) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 2)) 1/3) in x 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in x 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of 1/3 in x 0.444 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in x 0.444 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (* 2 (log x))))) in y 0.445 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (* 2 (log x)))) in y 0.445 * [taylor]: Taking taylor expansion of 1/3 in y 0.445 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (* 2 (log x))) in y 0.445 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.446 * [taylor]: Taking taylor expansion of 2 in y 0.446 * [taylor]: Taking taylor expansion of (log x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in y 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in y 0.470 * [taylor]: Taking taylor expansion of 1/3 in y 0.470 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.471 * [taylor]: Taking taylor expansion of 1/3 in x 0.471 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.472 * [taylor]: Taking taylor expansion of 1/3 in x 0.472 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.472 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x))))) in y 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))) in y 0.474 * [taylor]: Taking taylor expansion of 1/3 in y 0.474 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 2 (log x))) in y 0.474 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.475 * [taylor]: Taking taylor expansion of 2 in y 0.475 * [taylor]: Taking taylor expansion of (log x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in y 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in y 0.505 * [taylor]: Taking taylor expansion of 1/3 in y 0.505 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.506 * [taylor]: Taking taylor expansion of 1/3 in x 0.506 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.508 * [taylor]: Taking taylor expansion of 1/3 in x 0.508 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x))))) in y 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))) in y 0.509 * [taylor]: Taking taylor expansion of 1/3 in y 0.509 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 2 (log x))) in y 0.509 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.510 * [taylor]: Taking taylor expansion of 2 in y 0.510 * [taylor]: Taking taylor expansion of (log x) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * * * [progress]: simplifying candidates 0.539 * [simplify]: Simplifying using # : (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (* (cbrt (* x y)) (cbrt (* x y)))) (log1p (* (cbrt (* x y)) (cbrt (* x y)))) (+ 1/3 1/3) (+ 1 1) (* (* x y) (* x y)) (* (cbrt (* x y)) (cbrt (* x y))) (+ 1 1) (+ (log (cbrt (* x y))) (log (cbrt (* x y)))) (log (* (cbrt (* x y)) (cbrt (* x y)))) (exp (* (cbrt (* x y)) (cbrt (* x y)))) (* (* x y) (* x y)) (* (* x y) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y)))) (* (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (* x y)) (* (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y)))) (* (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (* (* (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* x y)) (cbrt (* x y)))) (* (cbrt (* x y)) (cbrt (* x y)))) (sqrt (* (cbrt (* x y)) (cbrt (* x y)))) (sqrt (* (cbrt (* x y)) (cbrt (* x y)))) (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt y))))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (* x (sqrt y))) (cbrt (* x (sqrt y)))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (* x 1)) (cbrt (* x 1))) (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (* (cbrt x) y)) (cbrt (* (cbrt x) y))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (* (sqrt x) y)) (cbrt (* (sqrt x) y))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y))))) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (* (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y)))) (* (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y)))) (* 1 1) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (sqrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (sqrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (* (sqrt (cbrt (* x y))) (cbrt (sqrt (* x y)))) (* (sqrt (cbrt (* x y))) (cbrt (sqrt (* x y)))) (* (sqrt (cbrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (sqrt (cbrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y)))) (* (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y)))) (* 2 1/3) (* 2 1) (* (cbrt (* x y)) (cbrt x)) (* (cbrt (* x y)) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (* (cbrt (* x y)) (cbrt (sqrt (* x y)))) (* (cbrt (* x y)) (cbrt 1)) (* (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* x y)) (cbrt (* x (* (cbrt y) (cbrt y))))) (* (cbrt (* x y)) (cbrt (* x (sqrt y)))) (* (cbrt (* x y)) (cbrt (* x 1))) (* (cbrt (* x y)) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (* x y)) (cbrt (sqrt x))) (* (cbrt (* x y)) (cbrt 1)) (* (cbrt (* x y)) (cbrt y)) (* (cbrt (* x y)) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y))))) (* (cbrt (* x y)) (sqrt (cbrt (* x y)))) (* (cbrt (* x y)) 1) (* (cbrt y) (cbrt (* x y))) (* (cbrt (cbrt (* x y))) (cbrt (* x y))) (* (cbrt (sqrt (* x y))) (cbrt (* x y))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x y))) (* (cbrt (cbrt y)) (cbrt (* x y))) (* (cbrt (sqrt y)) (cbrt (* x y))) (* (cbrt y) (cbrt (* x y))) (* (cbrt (* (cbrt x) y)) (cbrt (* x y))) (* (cbrt (* (sqrt x) y)) (cbrt (* x y))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt x) (cbrt (* x y))) (* (cbrt (cbrt (* x y))) (cbrt (* x y))) (* (sqrt (cbrt (* x y))) (cbrt (* x y))) (* (cbrt (* x y)) (cbrt (* x y))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (* 2 (log x)) (* 2 (log y))))) (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (* 2 (log (/ 1 y)))))) (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) 0.546 * * [simplify]: iteration 0 : 277 enodes (cost 963 ) 0.552 * * [simplify]: iteration 1 : 987 enodes (cost 905 ) 0.572 * * [simplify]: iteration 2 : 3701 enodes (cost 821 ) 0.615 * * [simplify]: iteration 3 : 5001 enodes (cost 790 ) 0.620 * [simplify]: Simplified to: (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt x) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt x) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt x) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (* (cbrt (* x y)) (cbrt (* x y)))) (log1p (* (cbrt (* x y)) (cbrt (* x y)))) 2/3 2 (* (* x y) (* x y)) (* (pow y 2/3) (pow x 2/3)) 2 (* 2 (log (cbrt (* x y)))) (* 2 (log (cbrt (* x y)))) (exp (* (cbrt (* x y)) (cbrt (* x y)))) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (* (* x y) (* x y)) (fabs (cbrt (* x y))) (fabs (cbrt (* x y))) (pow x 2/3) (pow y 2/3) (* (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) 1 (* (pow y 2/3) (pow x 2/3)) 1 (* (pow y 2/3) (pow x 2/3)) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt y))))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (* x (sqrt y))) (cbrt (* x (sqrt y)))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (pow x 2/3) (pow y 2/3) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (* (cbrt x) y)) (cbrt (* (cbrt x) y))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (* (sqrt x) y)) (cbrt (* (sqrt x) y))) 1 (* (pow y 2/3) (pow x 2/3)) 1 (* (pow y 2/3) (pow x 2/3)) (pow y 2/3) (pow x 2/3) (pow (cbrt (cbrt (* x y))) 4) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (* x y)) (cbrt (* x y)) 1 (* (pow y 2/3) (pow x 2/3)) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (sqrt (* x y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (sqrt (* x y))) (sqrt (cbrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (* (cbrt (* (sqrt x) (sqrt y))) (sqrt (cbrt (* x y)))) (cbrt (* x y)) (cbrt (* x y)) 2/3 2 (* (cbrt (* x y)) (cbrt x)) (* (cbrt (* x y)) (cbrt (* (cbrt (* x y)) (cbrt (* x y))))) (* (cbrt (* x y)) (cbrt (sqrt (* x y)))) (cbrt (* x y)) (* (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (* x y)) (cbrt (* x (* (cbrt y) (cbrt y))))) (* (cbrt (* x y)) (cbrt (* x (sqrt y)))) (* (cbrt (* x y)) (cbrt x)) (* (cbrt (* x y)) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (* x y)) (cbrt (sqrt x))) (cbrt (* x y)) (* (cbrt (* x y)) (cbrt y)) (pow (cbrt (cbrt (* x y))) 5) (pow (sqrt (cbrt (* x y))) 3) (cbrt (* x y)) (* (cbrt (* x y)) (cbrt y)) (pow (cbrt (cbrt (* x y))) 4) (* (cbrt (* x y)) (cbrt (sqrt (* x y)))) (* (pow y 2/3) (pow x 2/3)) (* (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y)))) (* (cbrt (cbrt y)) (cbrt (* x y))) (* (cbrt (sqrt y)) (cbrt (* x y))) (* (cbrt (* x y)) (cbrt y)) (* (cbrt (* (cbrt x) y)) (cbrt (* x y))) (* (cbrt (* (sqrt x) y)) (cbrt (* x y))) (* (pow y 2/3) (pow x 2/3)) (* (cbrt (* x y)) (cbrt x)) (pow (cbrt (cbrt (* x y))) 4) (pow (sqrt (cbrt (* x y))) 3) (* (pow y 2/3) (pow x 2/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (* (pow y 2/3) (pow x 2/3)) (* (pow (/ 1 y) -2/3) (pow (/ 1 x) -2/3)) (* (pow (/ -1 x) -2/3) (pow (/ -1 y) -2/3)) 0.621 * * * [progress]: adding candidates to table 0.875 * * [progress]: iteration 3 / 4 0.875 * * * [progress]: picking best candidate 0.886 * * * * [pick]: Picked # 0.886 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.913 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.935 * * * [progress]: generating series expansions 0.935 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.936 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.936 * [taylor]: Taking taylor expansion of 1/3 in y 0.936 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.936 * [taylor]: Taking taylor expansion of (* x y) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.937 * [taylor]: Taking taylor expansion of (* x y) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.938 * [taylor]: Taking taylor expansion of 1/3 in x 0.938 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.938 * [taylor]: Taking taylor expansion of (* x y) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.939 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.939 * [taylor]: Taking taylor expansion of 1/3 in y 0.939 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.939 * [taylor]: Taking taylor expansion of (log x) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of (log y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.958 * [taylor]: Taking taylor expansion of 1/3 in y 0.958 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.958 * [taylor]: Taking taylor expansion of (* x y) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.959 * [taylor]: Taking taylor expansion of 1/3 in x 0.959 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.959 * [taylor]: Taking taylor expansion of (* x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.960 * [taylor]: Taking taylor expansion of 1/3 in x 0.960 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.960 * [taylor]: Taking taylor expansion of (* x y) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.962 * [taylor]: Taking taylor expansion of 1/3 in y 0.962 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.962 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (log x) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.984 * [taylor]: Taking taylor expansion of 1/3 in y 0.984 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.984 * [taylor]: Taking taylor expansion of (* x y) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.985 * [taylor]: Taking taylor expansion of 1/3 in x 0.985 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.986 * [taylor]: Taking taylor expansion of 1/3 in x 0.986 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.986 * [taylor]: Taking taylor expansion of (* x y) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.987 * [taylor]: Taking taylor expansion of 1/3 in y 0.987 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.987 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (log x) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.014 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 1.014 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.014 * [taylor]: Taking taylor expansion of 1/3 in y 1.014 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.014 * [taylor]: Taking taylor expansion of (* x y) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.015 * [taylor]: Taking taylor expansion of 1/3 in x 1.015 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.015 * [taylor]: Taking taylor expansion of (* x y) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.016 * [taylor]: Taking taylor expansion of 1/3 in x 1.016 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.016 * [taylor]: Taking taylor expansion of (* x y) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.016 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.017 * [taylor]: Taking taylor expansion of 1/3 in y 1.017 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.017 * [taylor]: Taking taylor expansion of (log x) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (log y) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of 0 in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.036 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.036 * [taylor]: Taking taylor expansion of 1/3 in y 1.037 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.037 * [taylor]: Taking taylor expansion of (* x y) in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.038 * [taylor]: Taking taylor expansion of 1/3 in x 1.038 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.038 * [taylor]: Taking taylor expansion of (* x y) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.039 * [taylor]: Taking taylor expansion of 1/3 in x 1.039 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.039 * [taylor]: Taking taylor expansion of (* x y) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.040 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.040 * [taylor]: Taking taylor expansion of 1/3 in y 1.040 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.040 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (log x) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.062 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.062 * [taylor]: Taking taylor expansion of 1/3 in y 1.062 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.062 * [taylor]: Taking taylor expansion of (* x y) in y 1.062 * [taylor]: Taking taylor expansion of x in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.063 * [taylor]: Taking taylor expansion of 1/3 in x 1.063 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.063 * [taylor]: Taking taylor expansion of (* x y) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.064 * [taylor]: Taking taylor expansion of 1/3 in x 1.064 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.064 * [taylor]: Taking taylor expansion of (* x y) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.065 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.065 * [taylor]: Taking taylor expansion of 1/3 in y 1.065 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.065 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (log x) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.090 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.091 * [approximate]: Taking taylor expansion of (* (pow x 1/3) (pow (pow y 2) 1/9)) in (x y) around 0 1.091 * [taylor]: Taking taylor expansion of (* (pow x 1/3) (pow (pow y 2) 1/9)) in y 1.091 * [taylor]: Taking taylor expansion of (pow x 1/3) in y 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in y 1.091 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 1.091 * [taylor]: Taking taylor expansion of 1/3 in y 1.091 * [taylor]: Taking taylor expansion of (log x) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/9) in y 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow y 2)))) in y 1.091 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow y 2))) in y 1.091 * [taylor]: Taking taylor expansion of 1/9 in y 1.091 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (* (pow x 1/3) (pow (pow y 2) 1/9)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.092 * [taylor]: Taking taylor expansion of 1/3 in x 1.092 * [taylor]: Taking taylor expansion of (log x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/9) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow y 2)))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow y 2))) in x 1.093 * [taylor]: Taking taylor expansion of 1/9 in x 1.093 * [taylor]: Taking taylor expansion of (log (pow y 2)) in x 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of (* (pow x 1/3) (pow (pow y 2) 1/9)) in x 1.093 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.093 * [taylor]: Taking taylor expansion of 1/3 in x 1.093 * [taylor]: Taking taylor expansion of (log x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/9) in x 1.094 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow y 2)))) in x 1.094 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow y 2))) in x 1.094 * [taylor]: Taking taylor expansion of 1/9 in x 1.094 * [taylor]: Taking taylor expansion of (log (pow y 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.095 * [taylor]: Taking taylor expansion of (* (pow x 1/3) (pow (pow y 2) 1/9)) in y 1.095 * [taylor]: Taking taylor expansion of (pow x 1/3) in y 1.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in y 1.095 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 1.095 * [taylor]: Taking taylor expansion of 1/3 in y 1.095 * [taylor]: Taking taylor expansion of (log x) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/9) in y 1.095 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow y 2)))) in y 1.095 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow y 2))) in y 1.095 * [taylor]: Taking taylor expansion of 1/9 in y 1.095 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in (x y) around 0 1.127 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in y 1.127 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.127 * [taylor]: Taking taylor expansion of 1/3 in y 1.127 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.127 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in y 1.127 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in y 1.127 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in y 1.127 * [taylor]: Taking taylor expansion of 1/9 in y 1.127 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in x 1.129 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of 1/3 in x 1.129 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in x 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in x 1.130 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in x 1.130 * [taylor]: Taking taylor expansion of 1/9 in x 1.130 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.130 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in x 1.130 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1/3 in x 1.130 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in x 1.131 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in x 1.131 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in x 1.131 * [taylor]: Taking taylor expansion of 1/9 in x 1.131 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in y 1.132 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.132 * [taylor]: Taking taylor expansion of 1/3 in y 1.132 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in y 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in y 1.132 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in y 1.132 * [taylor]: Taking taylor expansion of 1/9 in y 1.132 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (cbrt -1) 5) x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in (x y) around 0 1.169 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (cbrt -1) 5) x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in y 1.169 * [taylor]: Taking taylor expansion of (pow (/ (pow (cbrt -1) 5) x) 1/3) in y 1.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cbrt -1) 5) x)))) in y 1.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cbrt -1) 5) x))) in y 1.170 * [taylor]: Taking taylor expansion of 1/3 in y 1.170 * [taylor]: Taking taylor expansion of (log (/ (pow (cbrt -1) 5) x)) in y 1.170 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 5) x) in y 1.170 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 5) in y 1.170 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.170 * [taylor]: Taking taylor expansion of -1 in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in y 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in y 1.182 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in y 1.182 * [taylor]: Taking taylor expansion of 1/9 in y 1.182 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (cbrt -1) 5) x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in x 1.183 * [taylor]: Taking taylor expansion of (pow (/ (pow (cbrt -1) 5) x) 1/3) in x 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cbrt -1) 5) x)))) in x 1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cbrt -1) 5) x))) in x 1.183 * [taylor]: Taking taylor expansion of 1/3 in x 1.183 * [taylor]: Taking taylor expansion of (log (/ (pow (cbrt -1) 5) x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 5) x) in x 1.183 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 5) in x 1.183 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in x 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in x 1.194 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in x 1.194 * [taylor]: Taking taylor expansion of 1/9 in x 1.194 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (cbrt -1) 5) x) 1/3) (pow (/ 1 (pow y 2)) 1/9)) in x 1.195 * [taylor]: Taking taylor expansion of (pow (/ (pow (cbrt -1) 5) x) 1/3) in x 1.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cbrt -1) 5) x)))) in x 1.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cbrt -1) 5) x))) in x 1.195 * [taylor]: Taking taylor expansion of 1/3 in x 1.195 * [taylor]: Taking taylor expansion of (log (/ (pow (cbrt -1) 5) x)) in x 1.195 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 5) x) in x 1.195 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 5) in x 1.195 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.195 * [taylor]: Taking taylor expansion of -1 in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in x 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in x 1.206 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in x 1.206 * [taylor]: Taking taylor expansion of 1/9 in x 1.206 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.208 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (pow (cbrt -1) 5)) (log x)))) (pow (/ 1 (pow y 2)) 1/9)) in y 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cbrt -1) 5)) (log x)))) in y 1.208 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cbrt -1) 5)) (log x))) in y 1.208 * [taylor]: Taking taylor expansion of 1/3 in y 1.208 * [taylor]: Taking taylor expansion of (- (log (pow (cbrt -1) 5)) (log x)) in y 1.208 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 5)) in y 1.208 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 5) in y 1.208 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.208 * [taylor]: Taking taylor expansion of -1 in y 1.214 * [taylor]: Taking taylor expansion of (log x) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.218 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/9) in y 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow y 2))))) in y 1.218 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow y 2)))) in y 1.218 * [taylor]: Taking taylor expansion of 1/9 in y 1.218 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [taylor]: Taking taylor expansion of 0 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.300 * [approximate]: Taking taylor expansion of (pow y 1/9) in (y) around 0 1.300 * [taylor]: Taking taylor expansion of (pow y 1/9) in y 1.300 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log y))) in y 1.300 * [taylor]: Taking taylor expansion of (* 1/9 (log y)) in y 1.300 * [taylor]: Taking taylor expansion of 1/9 in y 1.300 * [taylor]: Taking taylor expansion of (log y) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.301 * [taylor]: Taking taylor expansion of (pow y 1/9) in y 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log y))) in y 1.301 * [taylor]: Taking taylor expansion of (* 1/9 (log y)) in y 1.301 * [taylor]: Taking taylor expansion of 1/9 in y 1.301 * [taylor]: Taking taylor expansion of (log y) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.355 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/9) in (y) around 0 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/9) in y 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 y)))) in y 1.355 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 y))) in y 1.355 * [taylor]: Taking taylor expansion of 1/9 in y 1.355 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.356 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/9) in y 1.356 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 y)))) in y 1.356 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 y))) in y 1.356 * [taylor]: Taking taylor expansion of 1/9 in y 1.356 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.357 * [taylor]: Taking taylor expansion of y in y 1.411 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 y) 1/9)) in (y) around 0 1.411 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 y) 1/9)) in y 1.411 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in y 1.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in y 1.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in y 1.411 * [taylor]: Taking taylor expansion of 1/3 in y 1.411 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in y 1.411 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.411 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/9) in y 1.419 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 y)))) in y 1.419 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 y))) in y 1.419 * [taylor]: Taking taylor expansion of 1/9 in y 1.419 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.420 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 y) 1/9)) in y 1.420 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in y 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in y 1.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in y 1.420 * [taylor]: Taking taylor expansion of 1/3 in y 1.420 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in y 1.420 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.420 * [taylor]: Taking taylor expansion of -1 in y 1.424 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/9) in y 1.424 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 y)))) in y 1.424 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 y))) in y 1.424 * [taylor]: Taking taylor expansion of 1/9 in y 1.424 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.424 * [taylor]: Taking taylor expansion of y in y 1.547 * * * [progress]: simplifying candidates 1.548 * [simplify]: Simplifying using # : (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x (* (cbrt y) (cbrt y))))) (log1p (cbrt (* x (* (cbrt y) (cbrt y))))) (log (cbrt (* x (* (cbrt y) (cbrt y))))) (exp (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt x) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* x (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* x (* (cbrt y) (cbrt y))))) (cbrt 1) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (sqrt (* (cbrt y) (cbrt y))))) (cbrt (* (sqrt x) (sqrt (* (cbrt y) (cbrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* x (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* x (sqrt (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* (cbrt y) (cbrt y)))) (cbrt (* x 1)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (* x (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (cbrt (* x (* (cbrt 1) (cbrt 1)))) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))))) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (* x (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt (cbrt y)) (sqrt (cbrt y)))) (cbrt (* x (* 1 1))) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (cbrt (* x (* (cbrt (sqrt y)) (sqrt (cbrt y))))) (cbrt (* (cbrt (sqrt y)) (sqrt (cbrt y)))) (cbrt (* x (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt (cbrt y)) (cbrt (sqrt y)))) (cbrt (* x (* (sqrt (cbrt y)) (sqrt (cbrt y))))) (cbrt (* (sqrt (cbrt y)) (sqrt (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (cbrt y))) (cbrt (* x (* (cbrt y) (cbrt (sqrt y))))) (cbrt (cbrt (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt 1)))) (cbrt (cbrt y)) (cbrt (* x (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))))) (cbrt (cbrt (cbrt y))) (cbrt (* x (* (cbrt y) (sqrt (cbrt y))))) (cbrt (sqrt (cbrt y))) (cbrt (* x (* (cbrt y) 1))) (cbrt (cbrt y)) (cbrt (* x (cbrt (* (cbrt y) (cbrt y))))) (cbrt (* (cbrt (cbrt y)) (cbrt y))) (cbrt (* x (cbrt (sqrt y)))) (cbrt (* (cbrt (sqrt y)) (cbrt y))) (cbrt (* x (cbrt 1))) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (cbrt (* (cbrt (cbrt y)) (cbrt y))) (cbrt (* x (sqrt (cbrt y)))) (cbrt (* (sqrt (cbrt y)) (cbrt y))) (cbrt (* x 1)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (* (cbrt y) (cbrt y)))) (cbrt (sqrt x)) (cbrt (* (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt 1) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (cbrt x) (* (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (* (* (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt (* x (* (cbrt y) (cbrt y))))) (sqrt (cbrt (* x (* (cbrt y) (cbrt y))))) (sqrt (cbrt (* x (* (cbrt y) (cbrt y))))) (expm1 (cbrt (cbrt y))) (log1p (cbrt (cbrt y))) (log (cbrt (cbrt y))) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt 1)) (cbrt (cbrt y)) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt 1) (cbrt (cbrt y)) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (* (pow x 1/3) (pow (pow y 2) 1/9)) (* (pow x 1/3) (pow (pow y 2) 1/9)) (* (pow (pow y 2) 1/9) (exp (* 1/3 (- (log (pow (cbrt -1) 5)) (log (/ -1 x)))))) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) 1.555 * * [simplify]: iteration 0 : 342 enodes (cost 839 ) 1.561 * * [simplify]: iteration 1 : 960 enodes (cost 813 ) 1.580 * * [simplify]: iteration 2 : 3848 enodes (cost 773 ) 1.628 * * [simplify]: iteration 3 : 5002 enodes (cost 769 ) 1.632 * [simplify]: Simplified to: (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (cbrt y) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (cbrt y) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x (* (cbrt y) (cbrt y))))) (log1p (cbrt (* x (* (cbrt y) (cbrt y))))) (log (cbrt (* x (* (cbrt y) (cbrt y))))) (exp (cbrt (* x (* (cbrt y) (cbrt y))))) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* x (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* x (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* x (* (cbrt y) (cbrt y))))) 1 (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (sqrt (* (cbrt y) (cbrt y))))) (cbrt (* (sqrt x) (sqrt (* (cbrt y) (cbrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* (sqrt x) (cbrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* x (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* x (sqrt (* (cbrt y) (cbrt y))))) (cbrt (sqrt (* (cbrt y) (cbrt y)))) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (* x (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))))) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (cbrt (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (cbrt (* x (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt (cbrt y)) (cbrt (sqrt y)))) (cbrt (* x (* (sqrt (cbrt y)) (cbrt (sqrt y))))) (cbrt (* (sqrt (cbrt y)) (cbrt (sqrt y)))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* x (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (cbrt y))) (cbrt (* x (* (cbrt y) (cbrt (sqrt y))))) (cbrt (cbrt (sqrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* x (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))))) (cbrt (cbrt (cbrt y))) (cbrt (* x (* (cbrt y) (sqrt (cbrt y))))) (cbrt (sqrt (cbrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* x (cbrt (* (cbrt y) (cbrt y))))) (cbrt (* (cbrt (cbrt y)) (cbrt y))) (cbrt (* x (cbrt (sqrt y)))) (cbrt (* (cbrt (sqrt y)) (cbrt y))) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (cbrt (* (cbrt (cbrt y)) (cbrt y))) (cbrt (* x (sqrt (cbrt y)))) (sqrt (cbrt y)) (pow x 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (* x (cbrt y))) (cbrt (cbrt y)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (* (cbrt y) (cbrt y)))) (cbrt (sqrt x)) (cbrt (* (sqrt x) (* (cbrt y) (cbrt y)))) 1 (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow x 1/3) (* (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y)))))) (cbrt (cbrt (* x (* (cbrt y) (cbrt y))))) (* x (* (cbrt y) (cbrt y))) (sqrt (cbrt (* x (* (cbrt y) (cbrt y))))) (sqrt (cbrt (* x (* (cbrt y) (cbrt y))))) (expm1 (cbrt (cbrt y))) (log1p (cbrt (cbrt y))) (log (cbrt (cbrt y))) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) 1 (cbrt (cbrt y)) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) 1 (cbrt (cbrt y)) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt y) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (* (pow x 1/3) (pow (pow y 2) 1/9)) (* (pow x 1/3) (pow (pow y 2) 1/9)) (* (pow (pow y 2) 1/9) (exp (* 1/3 (- (log (pow (cbrt -1) 5)) (log (/ -1 x)))))) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) 1.633 * * * [progress]: adding candidates to table 1.942 * * [progress]: iteration 4 / 4 1.942 * * * [progress]: picking best candidate 1.952 * * * * [pick]: Picked # 1.952 * * * [progress]: localizing error 1.964 * * * [progress]: generating rewritten candidates 1.964 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 1.972 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 1.976 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.982 * * * [progress]: generating series expansions 1.983 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.983 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 1.983 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.983 * [taylor]: Taking taylor expansion of 1/3 in y 1.983 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.983 * [taylor]: Taking taylor expansion of (* x y) in y 1.983 * [taylor]: Taking taylor expansion of x in y 1.983 * [taylor]: Taking taylor expansion of y in y 1.984 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.984 * [taylor]: Taking taylor expansion of 1/3 in x 1.984 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.984 * [taylor]: Taking taylor expansion of (* x y) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.985 * [taylor]: Taking taylor expansion of 1/3 in x 1.985 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.985 * [taylor]: Taking taylor expansion of (* x y) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.986 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.986 * [taylor]: Taking taylor expansion of 1/3 in y 1.986 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.986 * [taylor]: Taking taylor expansion of (log x) in y 1.986 * [taylor]: Taking taylor expansion of x in y 1.986 * [taylor]: Taking taylor expansion of (log y) in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.989 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.005 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.005 * [taylor]: Taking taylor expansion of 1/3 in y 2.005 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.005 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.005 * [taylor]: Taking taylor expansion of (* x y) in y 2.005 * [taylor]: Taking taylor expansion of x in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.010 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.010 * [taylor]: Taking taylor expansion of 1/3 in x 2.010 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.010 * [taylor]: Taking taylor expansion of (* x y) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.010 * [taylor]: Taking taylor expansion of y in x 2.011 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.011 * [taylor]: Taking taylor expansion of 1/3 in x 2.011 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.011 * [taylor]: Taking taylor expansion of (* x y) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of y in x 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.012 * [taylor]: Taking taylor expansion of 1/3 in y 2.012 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.012 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (log x) in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of 0 in y 2.022 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.033 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.034 * [taylor]: Taking taylor expansion of 1/3 in y 2.034 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.034 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.034 * [taylor]: Taking taylor expansion of (* x y) in y 2.034 * [taylor]: Taking taylor expansion of x in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.035 * [taylor]: Taking taylor expansion of 1/3 in x 2.035 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.035 * [taylor]: Taking taylor expansion of (* x y) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.035 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.036 * [taylor]: Taking taylor expansion of 1/3 in x 2.036 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.036 * [taylor]: Taking taylor expansion of (* x y) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.037 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.037 * [taylor]: Taking taylor expansion of 1/3 in y 2.037 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.037 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.037 * [taylor]: Taking taylor expansion of (log x) in y 2.037 * [taylor]: Taking taylor expansion of x in y 2.040 * [taylor]: Taking taylor expansion of 0 in y 2.047 * [taylor]: Taking taylor expansion of 0 in y 2.057 * [taylor]: Taking taylor expansion of 0 in y 2.057 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 2.058 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 2.058 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 2.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 2.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 2.058 * [taylor]: Taking taylor expansion of 1/3 in y 2.058 * [taylor]: Taking taylor expansion of (log (* x y)) in y 2.058 * [taylor]: Taking taylor expansion of (* x y) in y 2.058 * [taylor]: Taking taylor expansion of x in y 2.058 * [taylor]: Taking taylor expansion of y in y 2.058 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.059 * [taylor]: Taking taylor expansion of 1/3 in x 2.059 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.059 * [taylor]: Taking taylor expansion of (* x y) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of y in x 2.059 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.059 * [taylor]: Taking taylor expansion of 1/3 in x 2.059 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.060 * [taylor]: Taking taylor expansion of (* x y) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of y in x 2.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 2.060 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 2.060 * [taylor]: Taking taylor expansion of 1/3 in y 2.060 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 2.060 * [taylor]: Taking taylor expansion of (log x) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.061 * [taylor]: Taking taylor expansion of (log y) in y 2.061 * [taylor]: Taking taylor expansion of y in y 2.064 * [taylor]: Taking taylor expansion of 0 in y 2.069 * [taylor]: Taking taylor expansion of 0 in y 2.079 * [taylor]: Taking taylor expansion of 0 in y 2.079 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.079 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.079 * [taylor]: Taking taylor expansion of 1/3 in y 2.079 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.079 * [taylor]: Taking taylor expansion of (* x y) in y 2.079 * [taylor]: Taking taylor expansion of x in y 2.079 * [taylor]: Taking taylor expansion of y in y 2.080 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.080 * [taylor]: Taking taylor expansion of 1/3 in x 2.080 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.080 * [taylor]: Taking taylor expansion of (* x y) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of y in x 2.081 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.081 * [taylor]: Taking taylor expansion of 1/3 in x 2.081 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.081 * [taylor]: Taking taylor expansion of (* x y) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of y in x 2.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.082 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.082 * [taylor]: Taking taylor expansion of 1/3 in y 2.082 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.082 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.082 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (log x) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of 0 in y 2.096 * [taylor]: Taking taylor expansion of 0 in y 2.106 * [taylor]: Taking taylor expansion of 0 in y 2.107 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.107 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.107 * [taylor]: Taking taylor expansion of 1/3 in y 2.107 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.107 * [taylor]: Taking taylor expansion of (* x y) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.108 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.108 * [taylor]: Taking taylor expansion of 1/3 in x 2.108 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.108 * [taylor]: Taking taylor expansion of (* x y) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.109 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.109 * [taylor]: Taking taylor expansion of 1/3 in x 2.109 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.109 * [taylor]: Taking taylor expansion of (* x y) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.110 * [taylor]: Taking taylor expansion of 1/3 in y 2.110 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.110 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.110 * [taylor]: Taking taylor expansion of y in y 2.110 * [taylor]: Taking taylor expansion of (log x) in y 2.110 * [taylor]: Taking taylor expansion of x in y 2.113 * [taylor]: Taking taylor expansion of 0 in y 2.120 * [taylor]: Taking taylor expansion of 0 in y 2.130 * [taylor]: Taking taylor expansion of 0 in y 2.131 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 2.131 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 2.131 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 2.131 * [taylor]: Taking taylor expansion of 1/3 in y 2.131 * [taylor]: Taking taylor expansion of (log (* x y)) in y 2.131 * [taylor]: Taking taylor expansion of (* x y) in y 2.131 * [taylor]: Taking taylor expansion of x in y 2.131 * [taylor]: Taking taylor expansion of y in y 2.132 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.132 * [taylor]: Taking taylor expansion of 1/3 in x 2.132 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.132 * [taylor]: Taking taylor expansion of (* x y) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of y in x 2.132 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.133 * [taylor]: Taking taylor expansion of 1/3 in x 2.133 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.133 * [taylor]: Taking taylor expansion of (* x y) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of y in x 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 2.133 * [taylor]: Taking taylor expansion of 1/3 in y 2.134 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 2.134 * [taylor]: Taking taylor expansion of (log x) in y 2.134 * [taylor]: Taking taylor expansion of x in y 2.134 * [taylor]: Taking taylor expansion of (log y) in y 2.134 * [taylor]: Taking taylor expansion of y in y 2.137 * [taylor]: Taking taylor expansion of 0 in y 2.143 * [taylor]: Taking taylor expansion of 0 in y 2.152 * [taylor]: Taking taylor expansion of 0 in y 2.152 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.152 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.152 * [taylor]: Taking taylor expansion of 1/3 in y 2.152 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.152 * [taylor]: Taking taylor expansion of (* x y) in y 2.152 * [taylor]: Taking taylor expansion of x in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.153 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.153 * [taylor]: Taking taylor expansion of 1/3 in x 2.153 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.153 * [taylor]: Taking taylor expansion of (* x y) in x 2.153 * [taylor]: Taking taylor expansion of x in x 2.153 * [taylor]: Taking taylor expansion of y in x 2.154 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.154 * [taylor]: Taking taylor expansion of 1/3 in x 2.154 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.154 * [taylor]: Taking taylor expansion of (* x y) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of y in x 2.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.155 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.155 * [taylor]: Taking taylor expansion of 1/3 in y 2.155 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.155 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.155 * [taylor]: Taking taylor expansion of y in y 2.156 * [taylor]: Taking taylor expansion of (log x) in y 2.156 * [taylor]: Taking taylor expansion of x in y 2.159 * [taylor]: Taking taylor expansion of 0 in y 2.166 * [taylor]: Taking taylor expansion of 0 in y 2.177 * [taylor]: Taking taylor expansion of 0 in y 2.177 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.177 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.177 * [taylor]: Taking taylor expansion of 1/3 in y 2.177 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.177 * [taylor]: Taking taylor expansion of (* x y) in y 2.177 * [taylor]: Taking taylor expansion of x in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.178 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.178 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.178 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.178 * [taylor]: Taking taylor expansion of 1/3 in x 2.178 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.178 * [taylor]: Taking taylor expansion of (* x y) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.178 * [taylor]: Taking taylor expansion of y in x 2.182 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.182 * [taylor]: Taking taylor expansion of 1/3 in x 2.182 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.182 * [taylor]: Taking taylor expansion of (* x y) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of y in x 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.183 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.183 * [taylor]: Taking taylor expansion of 1/3 in y 2.183 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.183 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.183 * [taylor]: Taking taylor expansion of y in y 2.184 * [taylor]: Taking taylor expansion of (log x) in y 2.184 * [taylor]: Taking taylor expansion of x in y 2.187 * [taylor]: Taking taylor expansion of 0 in y 2.194 * [taylor]: Taking taylor expansion of 0 in y 2.204 * [taylor]: Taking taylor expansion of 0 in y 2.205 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.205 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 2.205 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 2.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 2.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 2.205 * [taylor]: Taking taylor expansion of 1/3 in y 2.205 * [taylor]: Taking taylor expansion of (log (* x y)) in y 2.205 * [taylor]: Taking taylor expansion of (* x y) in y 2.205 * [taylor]: Taking taylor expansion of x in y 2.205 * [taylor]: Taking taylor expansion of y in y 2.206 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.206 * [taylor]: Taking taylor expansion of 1/3 in x 2.206 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.206 * [taylor]: Taking taylor expansion of (* x y) in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.206 * [taylor]: Taking taylor expansion of y in x 2.207 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 2.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 2.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 2.207 * [taylor]: Taking taylor expansion of 1/3 in x 2.207 * [taylor]: Taking taylor expansion of (log (* x y)) in x 2.207 * [taylor]: Taking taylor expansion of (* x y) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of y in x 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 2.208 * [taylor]: Taking taylor expansion of 1/3 in y 2.208 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 2.208 * [taylor]: Taking taylor expansion of (log x) in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.208 * [taylor]: Taking taylor expansion of (log y) in y 2.208 * [taylor]: Taking taylor expansion of y in y 2.211 * [taylor]: Taking taylor expansion of 0 in y 2.217 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.226 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.226 * [taylor]: Taking taylor expansion of 1/3 in y 2.226 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.226 * [taylor]: Taking taylor expansion of (* x y) in y 2.226 * [taylor]: Taking taylor expansion of x in y 2.226 * [taylor]: Taking taylor expansion of y in y 2.227 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.227 * [taylor]: Taking taylor expansion of 1/3 in x 2.227 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.227 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.227 * [taylor]: Taking taylor expansion of (* x y) in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.227 * [taylor]: Taking taylor expansion of y in x 2.228 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.228 * [taylor]: Taking taylor expansion of 1/3 in x 2.228 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.228 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.228 * [taylor]: Taking taylor expansion of (* x y) in x 2.228 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of y in x 2.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.229 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.229 * [taylor]: Taking taylor expansion of 1/3 in y 2.229 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.229 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.229 * [taylor]: Taking taylor expansion of y in y 2.230 * [taylor]: Taking taylor expansion of (log x) in y 2.230 * [taylor]: Taking taylor expansion of x in y 2.233 * [taylor]: Taking taylor expansion of 0 in y 2.240 * [taylor]: Taking taylor expansion of 0 in y 2.251 * [taylor]: Taking taylor expansion of 0 in y 2.251 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 2.251 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 2.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 2.251 * [taylor]: Taking taylor expansion of 1/3 in y 2.251 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.251 * [taylor]: Taking taylor expansion of (* x y) in y 2.251 * [taylor]: Taking taylor expansion of x in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.252 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.252 * [taylor]: Taking taylor expansion of 1/3 in x 2.252 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.252 * [taylor]: Taking taylor expansion of (* x y) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of y in x 2.253 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 2.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 2.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 2.253 * [taylor]: Taking taylor expansion of 1/3 in x 2.253 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.254 * [taylor]: Taking taylor expansion of (* x y) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of y in x 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 2.254 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 2.254 * [taylor]: Taking taylor expansion of 1/3 in y 2.254 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 2.255 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.255 * [taylor]: Taking taylor expansion of y in y 2.255 * [taylor]: Taking taylor expansion of (log x) in y 2.255 * [taylor]: Taking taylor expansion of x in y 2.258 * [taylor]: Taking taylor expansion of 0 in y 2.265 * [taylor]: Taking taylor expansion of 0 in y 2.278 * [taylor]: Taking taylor expansion of 0 in y 2.279 * * * [progress]: simplifying candidates 2.280 * [simplify]: Simplifying using # : (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) (cbrt 1) (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (cbrt (* x 1)) (cbrt y) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) (cbrt 1) (cbrt (* x y)) (cbrt y) (cbrt x) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) 2.285 * * [simplify]: iteration 0 : 111 enodes (cost 456 ) 2.288 * * [simplify]: iteration 1 : 246 enodes (cost 436 ) 2.293 * * [simplify]: iteration 2 : 579 enodes (cost 404 ) 2.303 * * [simplify]: iteration 3 : 1541 enodes (cost 388 ) 2.337 * * [simplify]: iteration 4 : 5001 enodes (cost 384 ) 2.341 * [simplify]: Simplified to: (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt (* x y)) (cbrt (* x y)))) (cbrt (cbrt (* x y))) (cbrt (sqrt (* x y))) (cbrt (sqrt (* x y))) 1 (cbrt (* x y)) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* (sqrt x) (sqrt y))) (cbrt (* x (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (* x (sqrt y))) (cbrt (sqrt y)) (pow x 1/3) (pow y 1/3) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) y)) (cbrt (sqrt x)) (cbrt (* (sqrt x) y)) 1 (cbrt (* x y)) (pow y 1/3) (pow x 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (cbrt (* x y)) (pow (* x y) (- -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (pow (* x y) (- -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (pow (* x y) (- -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (cbrt (* x y)) (pow (* x y) (- -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) 2.341 * * * [progress]: adding candidates to table 2.578 * [progress]: [Phase 3 of 3] Extracting. 2.578 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.579 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) y) y x) 2.579 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# # # # # # #) 2.603 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.629 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.654 * * * [regime]: Found split indices: #