20.584 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.087 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.088 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.089 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.090 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.091 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 1.0 in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 1.0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.107 * [taylor]: Taking taylor expansion of -1 in y 0.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 1.0 in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 1.0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.112 * * * [progress]: simplifying candidates 0.112 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.115 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.118 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.131 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.188 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.189 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.189 * * * [progress]: adding candidates to table 0.222 * * [progress]: iteration 2 / 4 0.222 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.245 * * * [progress]: generating rewritten candidates 0.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.250 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.259 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.267 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 1.0 in y 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.267 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 1.0 in y 0.268 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of 1.0 in y 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of 1.0 in y 0.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 1.0 in y 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.273 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.279 * [taylor]: Taking taylor expansion of -1 in x 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.279 * [taylor]: Taking taylor expansion of -1 in x 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of -1 in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.283 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 1.0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 1.0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.289 * [taylor]: Taking taylor expansion of -1 in y 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.291 * [taylor]: Taking taylor expansion of -1 in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * * * [progress]: simplifying candidates 0.295 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.300 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.306 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.329 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.335 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.335 * * * [progress]: adding candidates to table 0.491 * * [progress]: iteration 3 / 4 0.491 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.513 * * * [progress]: generating rewritten candidates 0.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.515 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.517 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.530 * * * [progress]: generating series expansions 0.531 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.531 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.531 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.531 * [taylor]: Taking taylor expansion of 1/3 in y 0.531 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 1.0 in y 0.531 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.531 * [taylor]: Taking taylor expansion of 1/3 in y 0.531 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 1.0 in y 0.534 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.534 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 1.0 in y 0.534 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of 1.0 in y 0.538 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.538 * [taylor]: Taking taylor expansion of 1/3 in y 0.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 1.0 in y 0.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.538 * [taylor]: Taking taylor expansion of 1/3 in y 0.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 1.0 in y 0.542 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.542 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.542 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.542 * [taylor]: Taking taylor expansion of 1/3 in y 0.542 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.542 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 1.0 in y 0.542 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.542 * [taylor]: Taking taylor expansion of 1/3 in y 0.542 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.542 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 1.0 in y 0.545 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.545 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.545 * [taylor]: Taking taylor expansion of 1/3 in y 0.545 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of 1.0 in y 0.546 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.546 * [taylor]: Taking taylor expansion of 1/3 in y 0.546 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of 1.0 in y 0.549 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.549 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.549 * [taylor]: Taking taylor expansion of 1/3 in y 0.549 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 1.0 in y 0.550 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.550 * [taylor]: Taking taylor expansion of 1/3 in y 0.550 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.555 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.555 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.555 * [taylor]: Taking taylor expansion of 1/3 in y 0.555 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.555 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.556 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.556 * [taylor]: Taking taylor expansion of 1/3 in y 0.556 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 1.0 in y 0.558 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.558 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.559 * [taylor]: Taking taylor expansion of 1/3 in y 0.559 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 1.0 in y 0.559 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.559 * [taylor]: Taking taylor expansion of 1/3 in y 0.559 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 1.0 in y 0.562 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.562 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.562 * [taylor]: Taking taylor expansion of 1/3 in y 0.563 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 1.0 in y 0.563 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.563 * [taylor]: Taking taylor expansion of 1/3 in y 0.563 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 1.0 in y 0.566 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.566 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 0.567 * [taylor]: Taking taylor expansion of 1/3 in y 0.567 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 0.567 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.567 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 0.567 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 0.568 * [taylor]: Taking taylor expansion of 1/3 in x 0.568 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 0.568 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 0.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 0.569 * [taylor]: Taking taylor expansion of 1/3 in y 0.569 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 0.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 1.0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in (x y) around 0 0.572 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 0.572 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 0.572 * [taylor]: Taking taylor expansion of 1/3 in y 0.572 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 1.0 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 0.572 * [taylor]: Taking taylor expansion of 1/3 in x 0.572 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 0.573 * [taylor]: Taking taylor expansion of 1/3 in x 0.573 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 0.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 0.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 0.574 * [taylor]: Taking taylor expansion of 1/3 in y 0.574 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of 1.0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in y 0.582 * [taylor]: Taking taylor expansion of -1 in y 0.582 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 0.582 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 0.582 * [taylor]: Taking taylor expansion of 1/3 in y 0.582 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 1.0 in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 0.583 * [taylor]: Taking taylor expansion of 1/3 in x 0.583 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 0.584 * [taylor]: Taking taylor expansion of 1/3 in x 0.584 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3)) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 0.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 0.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 0.585 * [taylor]: Taking taylor expansion of 1/3 in y 0.585 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 1.0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.594 * * * [progress]: simplifying candidates 0.595 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (log x) (+ (log (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))))) (+ (log x) (log (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (log (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x x) x) (* (+ 1.0 (* y y)) (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (* x (pow 1.0 1/3)) (+ (* 0.6666666666666666 (/ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 y)))))) x) (pow y 2))) (* (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 y)))))) x)) (+ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 y)))))) x) (* 0.6666666666666666 (/ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 y)))))) x) (pow y 2)))) 0.601 * * [simplify]: iteration 0 : 341 enodes (cost 817 ) 0.606 * * [simplify]: iteration 1 : 1135 enodes (cost 758 ) 0.625 * * [simplify]: iteration 2 : 4170 enodes (cost 688 ) 0.705 * * [simplify]: iteration 3 : 5002 enodes (cost 685 ) 0.709 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) 1 (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) 1 (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) 1 (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ 1 y))) 0))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ -1 y))) 0))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ 1 y))) 0))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ -1 y))) 0))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ 1 y))) 0))) (+ (* (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2)) (- 0.3333333333333333 (/ 0.1111111111111111 (pow y 2)))) (pow (exp 1/3) (+ (* -2 (log (/ -1 y))) 0))) (* x (pow 1.0 1/3)) (+ (* 0.6666666666666666 (/ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 y)))))) x) (pow y 2))) (* (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 y)))))) x)) (+ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 y)))))) x) (* 0.6666666666666666 (/ (* (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 y)))))) x) (pow y 2)))) 0.709 * * * [progress]: adding candidates to table 0.869 * * [progress]: iteration 4 / 4 0.869 * * * [progress]: picking best candidate 0.879 * * * * [pick]: Picked # 0.879 * * * [progress]: localizing error 0.887 * * * [progress]: generating rewritten candidates 0.887 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.895 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.901 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.909 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.917 * * * [progress]: generating series expansions 0.917 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.917 * [approximate]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 4))) (- 1.0 (pow y 2))) in (x y) around 0 0.917 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 4))) (- 1.0 (pow y 2))) in y 0.917 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in y 0.917 * [taylor]: Taking taylor expansion of x in y 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in y 0.918 * [taylor]: Taking taylor expansion of 1.0 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of 1.0 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 4))) (- 1.0 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 4))) (- 1.0 (pow y 2))) in x 0.919 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow y 4)) (- 1.0 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in y 0.920 * [taylor]: Taking taylor expansion of 1.0 in y 0.920 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of 1.0 in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in (x y) around 0 0.923 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in y 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in y 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in x 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (- 1.0 (/ 1 (pow y 2)))) in y 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.926 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.926 * [taylor]: Taking taylor expansion of 1.0 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x))) in (x y) around 0 0.933 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x))) in y 0.933 * [taylor]: Taking taylor expansion of -1 in y 0.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in y 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.933 * [taylor]: Taking taylor expansion of 1.0 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.933 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in y 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of 1.0 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x))) in x 0.933 * [taylor]: Taking taylor expansion of -1 in x 0.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.933 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x))) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (* (- 1.0 (/ 1 (pow y 2))) x)) in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.934 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow y 2))) x) in x 0.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) (- 1.0 (/ 1 (pow y 2))))) in y 0.936 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) (- 1.0 (/ 1 (pow y 2)))) in y 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.936 * [taylor]: Taking taylor expansion of 1.0 in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.936 * [taylor]: Taking taylor expansion of 1.0 in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.944 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.944 * [approximate]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in y 0.944 * [taylor]: Taking taylor expansion of 1.0 in y 0.944 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 4))) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 4)) in y 0.945 * [taylor]: Taking taylor expansion of 1.0 in y 0.945 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in (x y) around 0 0.946 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in y 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.946 * [taylor]: Taking taylor expansion of 1.0 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.947 * [taylor]: Taking taylor expansion of 1.0 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.947 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) x)) in (x y) around 0 0.952 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) x)) in y 0.952 * [taylor]: Taking taylor expansion of -1 in y 0.952 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in y 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.952 * [taylor]: Taking taylor expansion of 1.0 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.952 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) x)) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.952 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 4))) x)) in x 0.953 * [taylor]: Taking taylor expansion of -1 in x 0.953 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 4))) x) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.953 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow y 4)))) in y 0.953 * [taylor]: Taking taylor expansion of -1 in y 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 4))) in y 0.953 * [taylor]: Taking taylor expansion of 1.0 in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.953 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.960 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.960 * [approximate]: Taking taylor expansion of (pow y 4) in (y) around 0 0.960 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.962 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.963 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.963 * [approximate]: Taking taylor expansion of (- 1.0 (pow y 2)) in (y) around 0 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in (y) around 0 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.964 * [taylor]: Taking taylor expansion of 1.0 in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.964 * [taylor]: Taking taylor expansion of 1.0 in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.965 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in (y) around 0 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.965 * [taylor]: Taking taylor expansion of 1.0 in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.965 * [taylor]: Taking taylor expansion of 1.0 in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.966 * * * [progress]: simplifying candidates 0.968 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* 1.0 1.0) (* (* y y) (* y y))))) (log (- 1.0 (* y y)))) (- (log (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (log (- 1.0 (* y y)))) (log (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (/ (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* y y) (* y y))) (- (* 1.0 1.0) (* (* y y) (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* (- 1.0 (* y y)) (- 1.0 (* y y))) (- 1.0 (* y y)))) (/ (* (* (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* (- 1.0 (* y y)) (- 1.0 (* y y))) (- 1.0 (* y y)))) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (* (* (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (neg (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (neg (- 1.0 (* y y))) (/ x (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y))))) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (cbrt (- 1.0 (* y y)))) (/ x (sqrt (- 1.0 (* y y)))) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (sqrt (- 1.0 (* y y)))) (/ x 1) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y))) (/ x (+ (sqrt 1.0) y)) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (- (sqrt 1.0) y)) (/ 1 (- 1.0 (* y y))) (/ (- 1.0 (* y y)) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y))))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y)))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) 1) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (+ (sqrt 1.0) y)) (/ (- 1.0 (* y y)) (- (* 1.0 1.0) (* (* y y) (* y y)))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- (pow 1.0 3) (pow (* y y) 3))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y)))) (* (- 1.0 (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* 1.0 1.0) (* (* y y) (* y y)))))) (* (- 1.0 (* y y)) (+ (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (+ (log x) (log (- (* 1.0 1.0) (* (* y y) (* y y))))) (log (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (exp (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* y y) (* y y))) (- (* 1.0 1.0) (* (* y y) (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (* 1.0 1.0)) (* x (neg (* (* y y) (* y y)))) (* x (* 1.0 1.0)) (* x (neg (* (* y y) (* y y)))) (* (* 1.0 1.0) x) (* (neg (* (* y y) (* y y))) x) (* (* 1.0 1.0) x) (* (neg (* (* y y) (* y y))) x) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x 1) (* x (+ 1.0 (* y y))) (* (cbrt x) (- (* 1.0 1.0) (* (* y y) (* y y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* y y) (* y y)) 3))) (* x (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* y y) (* y y)) (* (* y y) (* y y))))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (+ 1 1) (+ 1 1) (+ (+ (log y) (log y)) (+ (log y) (log y))) (+ (+ (log y) (log y)) (log (* y y))) (+ (log (* y y)) (+ (log y) (log y))) (+ (log (* y y)) (log (* y y))) (log (* (* y y) (* y y))) (exp (* (* y y) (* y y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) (* y y)) (* y y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (* y y) (* y y))) (cbrt (* (* y y) (* y y)))) (cbrt (* (* y y) (* y y))) (* (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (* y y) (* y y) (* y y) (* y y) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* y y) y) (* y (* y y)) (/ (exp 1.0) (exp (* y y))) (log (- 1.0 (* y y))) (exp (- 1.0 (* y y))) (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y)))) (cbrt (- 1.0 (* y y))) (* (* (- 1.0 (* y y)) (- 1.0 (* y y))) (- 1.0 (* y y))) (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y))) (- (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (+ (* (* y y) (* y y)) (* 1.0 (* y y)))) (neg (* y y)) (- (* 1.0 1.0) (* (* y y) (* y y))) (+ 1.0 (* y y)) (+ (sqrt 1.0) y) (- (sqrt 1.0) y) (neg (* y y)) (+ (* 1.0 (* x (pow y 2))) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* 1.0 x) (- (* 1.0 x) (* x (pow y 4))) (- (* 1.0 x) (* x (pow y 4))) (pow y 4) (pow y 4) (pow y 4) (- 1.0 (pow y 2)) (- 1.0 (pow y 2)) (- 1.0 (pow y 2)) 0.974 * * [simplify]: iteration 0 : 425 enodes (cost 700 ) 0.982 * * [simplify]: iteration 1 : 2012 enodes (cost 577 ) 1.021 * * [simplify]: iteration 2 : 5001 enodes (cost 577 ) 1.026 * [simplify]: Simplified to: (log (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (log (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (log (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))) 3) (pow (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))) 3) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y))) 3) (sqrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))) (neg (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (neg (- 1.0 (* y y))) (/ x (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y))))) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (cbrt (- 1.0 (* y y)))) (/ x (sqrt (- 1.0 (* y y)))) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (sqrt (- 1.0 (* y y)))) x (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y))) (/ x (+ (sqrt 1.0) y)) (/ (- (* 1.0 1.0) (* (* y y) (* y y))) (- (sqrt 1.0) y)) (/ 1 (- 1.0 (* y y))) (/ (- 1.0 (* y y)) (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y))))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (+ (sqrt 1.0) y)) (/ (- 1.0 (* y y)) (- (* 1.0 1.0) (* (* y y) (* y y)))) (/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- (pow 1.0 3) (pow (* y y) 3))) x (* (+ (+ (pow 1.0 4) (* 1.0 (* 1.0 (* y (pow y 3))))) (pow y 8)) (- 1.0 (pow y 2))) (* (- 1.0 (* y y)) (+ (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (log (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (log (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (exp (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (pow (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) 3) (* (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (pow (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) 3) (sqrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (* 1.0 1.0)) (neg (* x (pow y 4))) (* x (* 1.0 1.0)) (neg (* x (pow y 4))) (* x (* 1.0 1.0)) (neg (* x (pow y 4))) (* x (* 1.0 1.0)) (neg (* x (pow y 4))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) x (* x (+ 1.0 (* y y))) (* (cbrt x) (- (* 1.0 1.0) (* (* y y) (* y y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* y y) (* y y)) 3))) (+ (* x (pow 1.0 4)) (* x (* (neg (* y y)) (pow y 6)))) 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (pow y 2) (pow y 2) (pow y 4) (pow y 4) (pow y 2) (pow y 2) (pow y 2) (pow y 4) (pow y 4) (pow y 2) 2 2 (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (pow (exp (pow y 3)) y) (pow (pow y 4) 3) (pow (pow y 4) 3) (pow (pow y 4) 3) (pow (pow y 4) 3) (* (cbrt (* (* y y) (* y y))) (cbrt (* (* y y) (* y y)))) (cbrt (* (* y y) (* y y))) (pow (pow y 4) 3) (fabs (pow y 2)) (fabs (pow y 2)) (pow y 2) (pow y 2) (pow y 2) (pow y 2) 4 4 2 2 4 4 4 2 2 4 (pow y 3) (pow y 3) (exp (- 1.0 (* y y))) (log (- 1.0 (pow y 2))) (exp (- 1.0 (* y y))) (* (cbrt (- 1.0 (* y y))) (cbrt (- 1.0 (* y y)))) (cbrt (- 1.0 (* y y))) (pow (- 1.0 (pow y 2)) 3) (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y))) (- (pow 1.0 3) (pow (* y y) 3)) (+ (* (pow y 2) (+ (pow y 2) 1.0)) (* 1.0 1.0)) (neg (* y y)) (- (* 1.0 1.0) (* (* y y) (* y y))) (+ 1.0 (* y y)) (+ (sqrt 1.0) y) (- (sqrt 1.0) y) (neg (* y y)) (* 1.0 (+ (* x (pow y 2)) x)) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* 1.0 x) (* x (- 1.0 (pow y 4))) (* x (- 1.0 (pow y 4))) (pow y 4) (pow y 4) (pow y 4) (- 1.0 (pow y 2)) (- 1.0 (pow y 2)) (- 1.0 (pow y 2)) 1.026 * * * [progress]: adding candidates to table 1.131 * [progress]: [Phase 3 of 3] Extracting. 1.131 * * [regime]: Finding splitpoints for: (# # # # # #) 1.132 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.132 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.178 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.222 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.270 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.316 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.362 * * * [regime]: Found split indices: #