25.096 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.087 * * [simplify]: iteration 0 : 38 enodes (cost 9 ) 0.087 * * [simplify]: iteration 1 : 38 enodes (cost 9 ) 0.087 * [simplify]: Simplified to: (+ (* x x) (* y (* y 3))) 0.090 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.100 * * * [progress]: generating rewritten candidates 0.100 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.110 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.110 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of 3 in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of 3 in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.111 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of 3 in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of 3 in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of 3 in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of 3 in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of 3 in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of 3 in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of 3 in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of 3 in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.115 * [taylor]: Taking taylor expansion of 3 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.115 * [taylor]: Taking taylor expansion of 3 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.115 * [taylor]: Taking taylor expansion of 3 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of 3 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of 3 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of 3 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of 3 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of 3 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (* y (* y 3)) (* y (* y 3)) (+ (log y) (+ (log y) (log 3))) (+ (log y) (log (* y 3))) (log (* y (* y 3))) (exp (* y (* y 3))) (* (* (* y y) y) (* (* (* y y) y) (* (* 3 3) 3))) (* (* (* y y) y) (* (* (* y 3) (* y 3)) (* y 3))) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* (* (* y (* y 3)) (* y (* y 3))) (* y (* y 3))) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y y) (* (cbrt y) (* y 3)) (* (sqrt y) (* y 3)) (* y (* y 3)) (* (exp (* x x)) (exp (* y (* y 3)))) (log (+ (* x x) (* y (* y 3)))) (exp (+ (* x x) (* y (* y 3)))) (* (cbrt (+ (* x x) (* y (* y 3)))) (cbrt (+ (* x x) (* y (* y 3))))) (cbrt (+ (* x x) (* y (* y 3)))) (* (* (+ (* x x) (* y (* y 3))) (+ (* x x) (* y (* y 3)))) (+ (* x x) (* y (* y 3)))) (sqrt (+ (* x x) (* y (* y 3)))) (sqrt (+ (* x x) (* y (* y 3)))) (+ (pow (* x x) 3) (pow (* y (* y 3)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* y (* y 3))))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* y (* y 3)))) (- (* x x) (* y (* y 3))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.177 * * [simplify]: iteration 0 : 4932 enodes (cost 279 ) 0.177 * * [simplify]: iteration 1 : 4932 enodes (cost 279 ) 0.179 * [simplify]: Simplified to: (* y (* y 3)) (* y (* y 3)) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (pow (exp y) (* y 3)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* 27 (pow y 6)) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y y) (* y (* 3 (cbrt y))) (* 3 (pow y 3/2)) (* y (* y 3)) (exp (+ (* y (* y 3)) (* x x))) (log (+ (* y (* y 3)) (* x x))) (exp (+ (* y (* y 3)) (* x x))) (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x)))) (cbrt (+ (* y (* y 3)) (* x x))) (pow (+ (* y (* y 3)) (* x x)) 3) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* x (* x -3)))))) (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) 0.179 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.240 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.245 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.245 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of 3 in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of 3 in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of 3 in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of 3 in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of 3 in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of 3 in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.248 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of 3 in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of 3 in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of 3 in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of 3 in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.253 * [taylor]: Taking taylor expansion of 3 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of 3 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of 3 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.254 * [taylor]: Taking taylor expansion of 3 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.255 * [taylor]: Taking taylor expansion of 3 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.255 * [taylor]: Taking taylor expansion of 3 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.256 * [taylor]: Taking taylor expansion of 3 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of 3 in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (* (* y y) 3) (* (* y y) 3) (+ (+ (log y) (log y)) (log 3)) (+ (log (* y y)) (log 3)) (log (* (* y y) 3)) (exp (* (* y y) 3)) (* (* (* (* y y) y) (* (* y y) y)) (* (* 3 3) 3)) (* (* (* (* y y) (* y y)) (* y y)) (* (* 3 3) 3)) (* (cbrt (* (* y y) 3)) (cbrt (* (* y y) 3))) (cbrt (* (* y y) 3)) (* (* (* (* y y) 3) (* (* y y) 3)) (* (* y y) 3)) (sqrt (* (* y y) 3)) (sqrt (* (* y y) 3)) (* y (sqrt 3)) (* y (sqrt 3)) (* (* y y) (* (cbrt 3) (cbrt 3))) (* (* y y) (sqrt 3)) (* (* y y) 1) (* y 3) (* (exp (* x x)) (exp (* (* y y) 3))) (log (+ (* x x) (* (* y y) 3))) (exp (+ (* x x) (* (* y y) 3))) (* (cbrt (+ (* x x) (* (* y y) 3))) (cbrt (+ (* x x) (* (* y y) 3)))) (cbrt (+ (* x x) (* (* y y) 3))) (* (* (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3))) (+ (* x x) (* (* y y) 3))) (sqrt (+ (* x x) (* (* y y) 3))) (sqrt (+ (* x x) (* (* y y) 3))) (+ (pow (* x x) 3) (pow (* (* y y) 3) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y y) 3) (* (* y y) 3)) (* (* x x) (* (* y y) 3)))) (- (* (* x x) (* x x)) (* (* (* y y) 3) (* (* y y) 3))) (- (* x x) (* (* y y) 3)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.291 * * [simplify]: iteration 0 : 4939 enodes (cost 289 ) 0.291 * * [simplify]: iteration 1 : 4939 enodes (cost 289 ) 0.293 * [simplify]: Simplified to: (* y (* y 3)) (* y (* y 3)) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (pow (pow (exp y) y) 3) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* (pow y 6) 27) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y (sqrt 3)) (* y (sqrt 3)) (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (sqrt 3))) (* y y) (* y 3) (exp (+ (* y (* y 3)) (* x x))) (log (+ (* y (* y 3)) (* x x))) (exp (+ (* y (* y 3)) (* x x))) (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x)))) (cbrt (+ (* y (* y 3)) (* x x))) (pow (+ (* y (* y 3)) (* x x)) 3) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* x (* x -3)))))) (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) 0.293 * * * [progress]: adding candidates to table 0.323 * * [progress]: iteration 3 / 4 0.323 * * * [progress]: picking best candidate 0.335 * * * * [pick]: Picked # 0.335 * * * [progress]: localizing error 0.344 * * * [progress]: generating rewritten candidates 0.344 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.374 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.381 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.381 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.381 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.381 * [taylor]: Taking taylor expansion of 3 in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.381 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.381 * [taylor]: Taking taylor expansion of 3 in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.384 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.384 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.384 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.384 * [taylor]: Taking taylor expansion of 3 in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.384 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.384 * [taylor]: Taking taylor expansion of 3 in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.387 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.387 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.387 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.387 * [taylor]: Taking taylor expansion of 3 in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.387 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.387 * [taylor]: Taking taylor expansion of 3 in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.390 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 2) (pow y 2)) in (y) around 0 0.390 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 2) (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.390 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.390 * [taylor]: Taking taylor expansion of 3 in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 2) (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.390 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.390 * [taylor]: Taking taylor expansion of 3 in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.392 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in (y) around 0 0.392 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.392 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.393 * [taylor]: Taking taylor expansion of 3 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.393 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.393 * [taylor]: Taking taylor expansion of 3 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in (y) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.395 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.395 * [taylor]: Taking taylor expansion of 3 in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.395 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.395 * [taylor]: Taking taylor expansion of 3 in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.398 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.398 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 2) y) in (y) around 0 0.398 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 2) y) in y 0.398 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.398 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.398 * [taylor]: Taking taylor expansion of 3 in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 2) y) in y 0.398 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.398 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.398 * [taylor]: Taking taylor expansion of 3 in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.400 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 2) y) in (y) around 0 0.400 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) y) in y 0.400 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.400 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.400 * [taylor]: Taking taylor expansion of 3 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) y) in y 0.400 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.400 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.400 * [taylor]: Taking taylor expansion of 3 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.402 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (cbrt 3) 2) y)) in (y) around 0 0.402 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (cbrt 3) 2) y)) in y 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.402 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) y) in y 0.402 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.402 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.402 * [taylor]: Taking taylor expansion of 3 in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (cbrt 3) 2) y)) in y 0.403 * [taylor]: Taking taylor expansion of -1 in y 0.403 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 2) y) in y 0.403 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 2) in y 0.403 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.403 * [taylor]: Taking taylor expansion of 3 in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.405 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.406 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.406 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.406 * [taylor]: Taking taylor expansion of 3 in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.406 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.406 * [taylor]: Taking taylor expansion of 3 in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.406 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.406 * [taylor]: Taking taylor expansion of 3 in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of 3 in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.409 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.409 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.409 * [taylor]: Taking taylor expansion of 3 in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.409 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.409 * [taylor]: Taking taylor expansion of 3 in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.410 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.410 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.410 * [taylor]: Taking taylor expansion of 3 in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.411 * [taylor]: Taking taylor expansion of 3 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.412 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.412 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.412 * [taylor]: Taking taylor expansion of 3 in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.413 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.413 * [taylor]: Taking taylor expansion of 3 in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.413 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.413 * [taylor]: Taking taylor expansion of 3 in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of 3 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * * * [progress]: simplifying candidates 0.417 * [simplify]: Simplifying using # : (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (+ (+ (log y) (+ (log y) (+ (log (cbrt 3)) (log (cbrt 3))))) (log (cbrt 3))) (+ (+ (log y) (+ (log y) (log (* (cbrt 3) (cbrt 3))))) (log (cbrt 3))) (+ (+ (log y) (log (* y (* (cbrt 3) (cbrt 3))))) (log (cbrt 3))) (+ (log (* y (* y (* (cbrt 3) (cbrt 3))))) (log (cbrt 3))) (log (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (exp (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* (* (* (* y y) y) (* (* (* y y) y) (* 3 3))) 3) (* (* (* (* y y) y) (* (* (* y y) y) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))))) 3) (* (* (* (* y y) y) (* (* (* y (* (cbrt 3) (cbrt 3))) (* y (* (cbrt 3) (cbrt 3)))) (* y (* (cbrt 3) (cbrt 3))))) 3) (* (* (* (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (* (cbrt 3) (cbrt 3))))) (* y (* y (* (cbrt 3) (cbrt 3))))) 3) (* (cbrt (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (cbrt (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (cbrt (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* (* (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (sqrt (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (sqrt (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt (* (cbrt 3) (cbrt 3)))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt (sqrt 3))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 1)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (* (cbrt (cbrt 3)) (cbrt (cbrt 3)))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (sqrt (cbrt 3))) (* (* y (* y (* (cbrt 3) (cbrt 3)))) 1) (* (* y (* (cbrt 3) (cbrt 3))) (cbrt 3)) (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (* (cbrt 3) (cbrt 3)))) (+ (log y) (+ (log y) (+ (log (cbrt 3)) (log (cbrt 3))))) (+ (log y) (+ (log y) (log (* (cbrt 3) (cbrt 3))))) (+ (log y) (log (* y (* (cbrt 3) (cbrt 3))))) (log (* y (* y (* (cbrt 3) (cbrt 3))))) (exp (* y (* y (* (cbrt 3) (cbrt 3))))) (* (* (* y y) y) (* (* (* y y) y) (* 3 3))) (* (* (* y y) y) (* (* (* y y) y) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))))) (* (* (* y y) y) (* (* (* y (* (cbrt 3) (cbrt 3))) (* y (* (cbrt 3) (cbrt 3)))) (* y (* (cbrt 3) (cbrt 3))))) (* (cbrt (* y (* y (* (cbrt 3) (cbrt 3))))) (cbrt (* y (* y (* (cbrt 3) (cbrt 3)))))) (cbrt (* y (* y (* (cbrt 3) (cbrt 3))))) (* (* (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (* (cbrt 3) (cbrt 3))))) (* y (* y (* (cbrt 3) (cbrt 3))))) (sqrt (* y (* y (* (cbrt 3) (cbrt 3))))) (sqrt (* y (* y (* (cbrt 3) (cbrt 3))))) (* y y) (* (cbrt y) (* y (* (cbrt 3) (cbrt 3)))) (* (sqrt y) (* y (* (cbrt 3) (cbrt 3)))) (* y (* y (* (cbrt 3) (cbrt 3)))) (* y (* (cbrt 3) (cbrt 3))) (* y (* (cbrt 3) (cbrt 3))) (+ (log y) (+ (log (cbrt 3)) (log (cbrt 3)))) (+ (log y) (log (* (cbrt 3) (cbrt 3)))) (log (* y (* (cbrt 3) (cbrt 3)))) (exp (* y (* (cbrt 3) (cbrt 3)))) (* (* (* y y) y) (* 3 3)) (* (* (* y y) y) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3)))) (* (cbrt (* y (* (cbrt 3) (cbrt 3)))) (cbrt (* y (* (cbrt 3) (cbrt 3))))) (cbrt (* y (* (cbrt 3) (cbrt 3)))) (* (* (* y (* (cbrt 3) (cbrt 3))) (* y (* (cbrt 3) (cbrt 3)))) (* y (* (cbrt 3) (cbrt 3)))) (sqrt (* y (* (cbrt 3) (cbrt 3)))) (sqrt (* y (* (cbrt 3) (cbrt 3)))) (* (sqrt y) (cbrt 3)) (* (sqrt y) (cbrt 3)) (* y (cbrt 3)) (* (cbrt y) (* (cbrt 3) (cbrt 3))) (* (sqrt y) (* (cbrt 3) (cbrt 3))) (* y (* (cbrt 3) (cbrt 3))) (* (exp (* x x)) (exp (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (log (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (exp (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (* (cbrt (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (cbrt (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))))) (cbrt (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (* (* (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (sqrt (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (sqrt (+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (+ (pow (* x x) 3) (pow (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))))) (- (* (* x x) (* x x)) (* (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))) (- (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (pow (cbrt 3) 2) (pow y 2)) (* (pow (cbrt 3) 2) (pow y 2)) (* (pow (cbrt 3) 2) (pow y 2)) (* (pow (cbrt 3) 2) y) (* (pow (cbrt 3) 2) y) (* (pow (cbrt 3) 2) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.455 * * [simplify]: iteration 0 : 5003 enodes (cost 679 ) 0.459 * [simplify]: Simplified to: (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (pow (exp y) (* y 3)) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* (pow y 6) 27) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))) (* y (* y (* (pow (cbrt 3) 2) (cbrt 1)))) (* y (* y (* (pow (cbrt 3) 2) (* (cbrt (cbrt 3)) (cbrt (cbrt 3)))))) (* y (* (* y (cbrt 3)) (pow (cbrt 3) 3/2))) (* y (* y (pow (cbrt 3) 2))) (* y 3) (* y (* y (pow (cbrt 3) 2))) (* y (* y (pow (cbrt 3) 2))) (* y (* y (pow (cbrt 3) 2))) (* 2 (log (* y (cbrt 3)))) (* 2 (log (* y (cbrt 3)))) (* 2 (log (* y (cbrt 3)))) (* 2 (log (* y (cbrt 3)))) (pow (pow (exp y) (pow (cbrt 3) 2)) y) (* 9 (pow y 6)) (* 9 (pow y 6)) (* 9 (pow y 6)) (* (cbrt (* y (* y (pow (cbrt 3) 2)))) (cbrt (* y (* y (pow (cbrt 3) 2))))) (cbrt (* y (* y (pow (cbrt 3) 2)))) (* 9 (pow y 6)) (fabs (* y (cbrt 3))) (fabs (* y (cbrt 3))) (* y y) (* y (* (pow (cbrt 3) 2) (cbrt y))) (* (pow (cbrt 3) 2) (pow y 3/2)) (* y (* y (pow (cbrt 3) 2))) (* y (pow (cbrt 3) 2)) (* y (pow (cbrt 3) 2)) (log (* y (pow (cbrt 3) 2))) (log (* y (pow (cbrt 3) 2))) (log (* y (pow (cbrt 3) 2))) (pow (exp y) (pow (cbrt 3) 2)) (* (pow y 3) 9) (* (pow y 3) 9) (* (cbrt (* y (pow (cbrt 3) 2))) (cbrt (* y (pow (cbrt 3) 2)))) (cbrt (* y (pow (cbrt 3) 2))) (* (pow y 3) 9) (fabs (* (cbrt 3) (sqrt y))) (fabs (* (cbrt 3) (sqrt y))) (* (cbrt 3) (sqrt y)) (* (cbrt 3) (sqrt y)) (* y (cbrt 3)) (* (pow (cbrt 3) 2) (cbrt y)) (* (pow (cbrt 3) 2) (sqrt y)) (* y (pow (cbrt 3) 2)) (exp (+ (* y (* y 3)) (* x x))) (log (+ (* y (* y 3)) (* x x))) (exp (+ (* y (* y 3)) (* x x))) (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x)))) (cbrt (+ (* y (* y 3)) (* x x))) (pow (+ (* y (* y 3)) (* x x)) 3) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* (* x x) (* y -3))))) (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y (pow (cbrt 3) 2))) (* y (* y (pow (cbrt 3) 2))) (* y (* y (pow (cbrt 3) 2))) (* y (pow (cbrt 3) 2)) (* y (pow (cbrt 3) 2)) (* y (pow (cbrt 3) 2)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) 0.459 * * * [progress]: adding candidates to table 0.554 * * [progress]: iteration 4 / 4 0.554 * * * [progress]: picking best candidate 0.567 * * * * [pick]: Picked # 0.567 * * * [progress]: localizing error 0.575 * * * [progress]: generating rewritten candidates 0.575 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.587 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.601 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.609 * * * [progress]: generating series expansions 0.609 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.609 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of 3 in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of 3 in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of 3 in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.611 * [taylor]: Taking taylor expansion of 3/2 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.611 * [taylor]: Taking taylor expansion of 3 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of 3 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of 3 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.613 * [taylor]: Taking taylor expansion of 3 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.613 * [taylor]: Taking taylor expansion of 1/2 in x 0.613 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.613 * [taylor]: Taking taylor expansion of 3 in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of 0 in x 0.614 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.614 * [taylor]: Taking taylor expansion of 3 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 3 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 3 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.615 * [taylor]: Taking taylor expansion of 3 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.616 * [taylor]: Taking taylor expansion of 3 in x 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.617 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of 3 in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of 3 in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of 3 in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.619 * [taylor]: Taking taylor expansion of 3/2 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 0 in x 0.619 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of 3 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.620 * [taylor]: Taking taylor expansion of 3 in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.620 * [taylor]: Taking taylor expansion of 3 in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.620 * [taylor]: Taking taylor expansion of 3 in x 0.620 * [taylor]: Taking taylor expansion of 0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.621 * [taylor]: Taking taylor expansion of 1/2 in x 0.621 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.621 * [taylor]: Taking taylor expansion of 3 in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 0 in x 0.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of 3 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.622 * [taylor]: Taking taylor expansion of 3 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.623 * [taylor]: Taking taylor expansion of 3 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.623 * [taylor]: Taking taylor expansion of 3 in x 0.623 * [taylor]: Taking taylor expansion of 0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.624 * [taylor]: Taking taylor expansion of 1/2 in x 0.624 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.624 * [taylor]: Taking taylor expansion of 3 in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.625 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.625 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of 3 in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of 3 in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of 3 in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of 0 in x 0.625 * [taylor]: Taking taylor expansion of 3 in x 0.626 * [taylor]: Taking taylor expansion of 0 in x 0.626 * [taylor]: Taking taylor expansion of 0 in x 0.626 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.626 * [taylor]: Taking taylor expansion of 3 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of 3 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of 3 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 3 in x 0.627 * [taylor]: Taking taylor expansion of 0 in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 0 in x 0.628 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.629 * [taylor]: Taking taylor expansion of 3 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.629 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.629 * [taylor]: Taking taylor expansion of 3 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.629 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.629 * [taylor]: Taking taylor expansion of 3 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 3 in x 0.630 * [taylor]: Taking taylor expansion of 0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of 0 in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.631 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.631 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.631 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of 3 in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of 3 in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.632 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.632 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of 3 in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of 3 in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.633 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.633 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of 3 in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of 3 in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * * * [progress]: simplifying candidates 0.635 * [simplify]: Simplifying using # : (log (sqrt (+ (* y (* y 3)) (* x x)))) (exp (sqrt (+ (* y (* y 3)) (* x x)))) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x))))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (* (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x))))) (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt 1) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3))) (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x))))) (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x)))) (sqrt (- (* y (* y 3)) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (log (sqrt (+ (* y (* y 3)) (* x x)))) (exp (sqrt (+ (* y (* y 3)) (* x x)))) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x))))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (* (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x))))) (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt 1) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3))) (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x))))) (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x)))) (sqrt (- (* y (* y 3)) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x))) (+ 1 1) (+ (log (sqrt (+ (* y (* y 3)) (* x x)))) (log (sqrt (+ (* y (* y 3)) (* x x))))) (log (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (exp (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (* (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (cbrt (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (cbrt (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))))) (cbrt (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (* (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x))) (sqrt (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (sqrt (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3))) (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x))))) (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x)))))) (* (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3))) (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x))))) (* (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x))))) (sqrt (- (* y (* y 3)) (* x x)))) (* (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x)))) (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3)))) (* (sqrt (- (* y (* y 3)) (* x x))) (sqrt (+ (* (* y (* y 3)) (* y (* y 3))) (- (* (* x x) (* x x)) (* (* y (* y 3)) (* x x)))))) (* (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x)))) (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x))))) (* (sqrt (- (* y (* y 3)) (* x x))) (sqrt (- (* y (* y 3)) (* x x)))) (* (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))))) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x))))) (sqrt (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x)))))) (* (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (cbrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* 1 1) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* y (* y 3)) (* x x))) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (* (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (+ (* y (* y 3)) (* x x)))))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt 1)) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (sqrt (+ (* y (* y 3)) (* x x))))) (* (sqrt (+ (* y (* y 3)) (* x x))) 1) (* (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x))))) (* (sqrt (+ (pow (* y (* y 3)) 3) (pow (* x x) 3))) (sqrt (+ (* y (* y 3)) (* x x)))) (* (sqrt (- (* (* y (* y 3)) (* y (* y 3))) (* (* x x) (* x x)))) (sqrt (+ (* y (* y 3)) (* x x)))) (* y (* y 3)) (* y (* y 3)) (+ (log y) (+ (log y) (log 3))) (+ (log y) (log (* y 3))) (log (* y (* y 3))) (exp (* y (* y 3))) (* (* (* y y) y) (* (* (* y y) y) (* (* 3 3) 3))) (* (* (* y y) y) (* (* (* y 3) (* y 3)) (* y 3))) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* (* (* y (* y 3)) (* y (* y 3))) (* y (* y 3))) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y y) (* (cbrt y) (* y 3)) (* (sqrt y) (* y 3)) (* y (* y 3)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.699 * * [simplify]: iteration 0 : 4941 enodes (cost 1296 ) 0.699 * * [simplify]: iteration 1 : 4941 enodes (cost 1296 ) 0.704 * [simplify]: Simplified to: (log (sqrt (+ (* y (* y 3)) (* x x)))) (exp (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (pow (sqrt (+ (* y (* y 3)) (* x x))) 3) (fabs (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 1 (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* 27 (pow y 6)) (pow x 6))) (sqrt (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* (* x x) -3)))))) (sqrt (- (* 9 (pow y 4)) (pow x 4))) (sqrt (- (* y (* y 3)) (* x x))) 1/2 (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (log (sqrt (+ (* y (* y 3)) (* x x)))) (exp (sqrt (+ (* y (* y 3)) (* x x)))) (cbrt (+ (* y (* y 3)) (* x x))) (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) (pow (sqrt (+ (* y (* y 3)) (* x x))) 3) (fabs (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (cbrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 1 (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* 27 (pow y 6)) (pow x 6))) (sqrt (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* (* x x) -3)))))) (sqrt (- (* 9 (pow y 4)) (pow x 4))) (sqrt (- (* y (* y 3)) (* x x))) 1/2 (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 1 1 2 1 1 (pow (sqrt (+ (* y (* y 3)) (* x x))) 4) (+ (* y (* y 3)) (* x x)) (pow (sqrt (+ (* y (* y 3)) (* x x))) 4) 2 (log (+ (* y (* y 3)) (* x x))) (log (+ (* y (* y 3)) (* x x))) (exp (+ (* y (* y 3)) (* x x))) (pow (+ (* y (* y 3)) (* x x)) 3) (pow (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) 4) (cbrt (+ (* y (* y 3)) (* x x))) (pow (+ (* y (* y 3)) (* x x)) 3) (pow (sqrt (+ (* y (* y 3)) (* x x))) 4) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* (* x x) -3))))) (* (sqrt (+ (* 27 (pow y 6)) (pow x 6))) (sqrt (- (* 9 (pow y 4)) (pow x 4)))) (* (sqrt (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* (* x x) -3)))))) (sqrt (- (* y (* y 3)) (* x x)))) (* (sqrt (+ (* 27 (pow y 6)) (pow x 6))) (sqrt (- (* 9 (pow y 4)) (pow x 4)))) (* (sqrt (+ (* 9 (pow y 4)) (+ (pow x 4) (* y (* y (* (* x x) -3)))))) (sqrt (- (* y (* y 3)) (* x x)))) (- (* 9 (pow y 4)) (pow x 4)) (- (* y (* y 3)) (* x x)) (pow (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) 4) (cbrt (+ (* y (* y 3)) (* x x))) (pow (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) 4) (cbrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) 1 (+ (* y (* y 3)) (* x x)) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) 1 (+ (* y (* y 3)) (* x x)) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))) 1 2 1 (pow (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) 5) (* (sqrt (+ (* y (* y 3)) (* x x))) (fabs (cbrt (+ (* y (* y 3)) (* x x))))) (pow (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 3) (sqrt (+ (* y (* y 3)) (* x x))) (pow (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 3) (sqrt (+ (* y (* y 3)) (* x x))) (pow (cbrt (sqrt (+ (* y (* y 3)) (* x x)))) 4) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (cbrt (+ (* y (* y 3)) (* x x))))) (pow (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 3) (+ (* y (* y 3)) (* x x)) (pow (sqrt (sqrt (+ (* y (* y 3)) (* x x)))) 3) (+ (* y (* y 3)) (* x x)) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* 27 (pow y 6)) (pow x 6)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (- (* 9 (pow y 4)) (pow x 4)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* 27 (pow y 6)) (pow x 6)))) (* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (- (* 9 (pow y 4)) (pow x 4)))) (* y (* y 3)) (* y (* y 3)) (log (* y (* y 3))) (log (* y (* y 3))) (log (* y (* y 3))) (pow (exp y) (* y 3)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* y (* y 3))) (cbrt (* y (* y 3)))) (cbrt (* y (* y 3))) (* 27 (pow y 6)) (sqrt (* y (* y 3))) (sqrt (* y (* y 3))) (* y y) (* y (* 3 (cbrt y))) (* 3 (pow y 3/2)) (* y (* y 3)) x (* y (sqrt 3)) (* y (neg (sqrt 3))) x (* y (sqrt 3)) (* y (neg (sqrt 3))) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) (+ (* y (* y 3)) (* x x)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) 0.705 * * * [progress]: adding candidates to table 0.829 * [progress]: [Phase 3 of 3] Extracting. 0.829 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.830 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 0.830 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 0.876 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 0.923 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 0.971 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.019 * * * [regime]: Found split indices: #