8.655 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.021 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.037 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.041 * [taylor]: Taking taylor expansion of 2 in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.041 * [taylor]: Taking taylor expansion of 2 in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.041 * [taylor]: Taking taylor expansion of 2 in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.041 * [taylor]: Taking taylor expansion of 2 in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of 2 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of 2 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of 2 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 2 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of 2 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of 2 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.106 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.109 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.117 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.150 * * [simplify]: iteration 3 : 5002 enodes (cost 120 ) 0.152 * [simplify]: Simplified to: (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ y y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.152 * * * [progress]: adding candidates to table 0.202 * * [progress]: iteration 2 / 4 0.202 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.222 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.222 * [taylor]: Taking taylor expansion of 2 in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.223 * [taylor]: Taking taylor expansion of 2 in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.223 * [taylor]: Taking taylor expansion of 2 in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.230 * [taylor]: Taking taylor expansion of 2 in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of 2 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of 2 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of 2 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.248 * [taylor]: Taking taylor expansion of 2 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of 2 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.252 * [taylor]: Taking taylor expansion of 2 in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.264 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.266 * * [simplify]: iteration 1 : 468 enodes (cost 73 ) 0.275 * * [simplify]: iteration 2 : 1756 enodes (cost 73 ) 0.317 * * [simplify]: iteration 3 : 5002 enodes (cost 73 ) 0.317 * [simplify]: Simplified to: (exp (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (pow (+ (* x x) (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* 4 (* y y)) (+ (* (pow x 2) (* -2 y)) (pow x 4))) (+ (* (+ y y) (* -2 y)) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.318 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 3 / 4 0.338 * * * [progress]: picking best candidate 0.344 * * * * [pick]: Picked # 0.344 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.389 * * * [progress]: generating series expansions 0.389 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.389 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.389 * [taylor]: Taking taylor expansion of 2 in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.389 * [taylor]: Taking taylor expansion of 2 in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.389 * [taylor]: Taking taylor expansion of 2 in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.390 * [taylor]: Taking taylor expansion of 2 in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of 2 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.398 * [taylor]: Taking taylor expansion of 2 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.399 * [taylor]: Taking taylor expansion of 2 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.402 * [taylor]: Taking taylor expansion of 2 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.405 * [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 (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 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 (* 2 (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of 2 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 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 (* 2 (/ 1 y)) in x 0.410 * [taylor]: Taking taylor expansion of 2 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 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 0.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.411 * [taylor]: Taking taylor expansion of 2 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.414 * [taylor]: Taking taylor expansion of 2 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.422 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.422 * [taylor]: Taking taylor expansion of 2 in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.422 * [taylor]: Taking taylor expansion of 2 in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.422 * [taylor]: Taking taylor expansion of 2 in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.423 * [taylor]: Taking taylor expansion of 2 in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.429 * [taylor]: Taking taylor expansion of 2 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.430 * [taylor]: Taking taylor expansion of 2 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of 2 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of 2 in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.441 * [taylor]: Taking taylor expansion of 2 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.443 * [taylor]: Taking taylor expansion of 2 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.443 * [taylor]: Taking taylor expansion of 2 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.447 * [taylor]: Taking taylor expansion of 2 in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.454 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.455 * [taylor]: Taking taylor expansion of 2 in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.455 * [taylor]: Taking taylor expansion of 2 in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.455 * [taylor]: Taking taylor expansion of 2 in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of 1 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.467 * [taylor]: Taking taylor expansion of 2 in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.469 * [taylor]: Taking taylor expansion of 2 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.472 * [taylor]: Taking taylor expansion of 2 in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of 2 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.480 * [taylor]: Taking taylor expansion of 2 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of 2 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.492 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of 1 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * * * [progress]: simplifying candidates 0.517 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) y) y))) (log (sqrt (+ (+ (* x x) y) y)))) (log (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (exp (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (- (+ (* x x) y) y))) (* (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y)))) (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (cbrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ 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(sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) 1) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (+ (* x x) y) y))) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.523 * * [simplify]: iteration 0 : 230 enodes (cost 686 ) 0.528 * * [simplify]: iteration 1 : 955 enodes (cost 619 ) 0.550 * * [simplify]: iteration 2 : 5001 enodes (cost 581 ) 0.554 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) y) y)) 4) (+ (+ (* x x) y) y) (pow (sqrt (+ (+ (* x x) y) y)) 4) 2 (log (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (pow (sqrt (+ (+ (* x x) y) y)) 4) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (pow (cbrt (sqrt (+ (+ (* x x) y) y))) 4) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 (+ (+ (* x x) y) y) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (* x x) y) y))) 4) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (fabs (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (+ (+ (* x x) y) y)) (pow (cbrt (sqrt (+ (+ (* x x) y) y))) 4) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (+ (+ (* x x) y) y) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (+ (+ (* x x) y) y) (* 2 y) (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (+ (+ (* x x) y) y) (* 2 y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.555 * * * [progress]: adding candidates to table 0.750 * * [progress]: iteration 4 / 4 0.750 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.765 * * * [progress]: generating rewritten candidates 0.765 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.806 * * * [progress]: generating series expansions 0.806 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.806 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (y x) around 0 0.806 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.806 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.807 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.808 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 1 in x 0.813 * [taylor]: Taking taylor expansion of 0 in x 0.818 * [taylor]: Taking taylor expansion of 0 in x 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.824 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.824 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.827 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.830 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.830 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.830 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of 1 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of 0 in x 0.847 * [taylor]: Taking taylor expansion of 0 in x 0.860 * [taylor]: Taking taylor expansion of 0 in x 0.870 * [taylor]: Taking taylor expansion of 0 in x 0.871 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.871 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.874 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 0 in x 0.893 * [taylor]: Taking taylor expansion of 0 in x 0.901 * [taylor]: Taking taylor expansion of 0 in x 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.911 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.911 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 0 in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of 0 in x 0.920 * [taylor]: Taking taylor expansion of 0 in x 0.920 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.920 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.921 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.922 * [taylor]: Taking taylor expansion of x 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 0.924 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.927 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [taylor]: Taking taylor expansion of 0 in x 0.948 * [taylor]: Taking taylor expansion of 0 in x 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.957 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.958 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.959 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.960 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.960 * [taylor]: Taking taylor expansion of x in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of 0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of 0 in x 0.972 * [taylor]: Taking taylor expansion of 0 in x 0.978 * [taylor]: Taking taylor expansion of 0 in x 0.985 * [taylor]: Taking taylor expansion of 0 in x 0.987 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.987 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (neg y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of 1 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.992 * [taylor]: Taking taylor expansion of x in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of 1 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of 1 in y 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.014 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.015 * [approximate]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in (y x) around 0 1.015 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in x 1.015 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in x 1.015 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 1.016 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 1.016 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 1.018 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 1.018 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 1.018 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.019 * [taylor]: Taking taylor expansion of x in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of 2 in x 1.029 * [taylor]: Taking taylor expansion of 0 in x 1.034 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in (y x) around 0 1.041 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.042 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 1.044 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.046 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.046 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.050 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.050 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 1.051 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 2 in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of 0 in x 1.071 * [taylor]: Taking taylor expansion of 0 in x 1.082 * [taylor]: Taking taylor expansion of 0 in x 1.095 * [taylor]: Taking taylor expansion of 0 in x 1.095 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in (y x) around 0 1.095 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.095 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.095 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.099 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.099 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 1.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.103 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.103 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 1.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.112 * [taylor]: Taking taylor expansion of -2 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 0 in x 1.127 * [taylor]: Taking taylor expansion of 0 in x 1.137 * [taylor]: Taking taylor expansion of 0 in x 1.149 * [taylor]: Taking taylor expansion of 0 in x 1.150 * * * [progress]: simplifying candidates 1.151 * [simplify]: Simplifying using # : (- (log (+ (neg (* y y)) (pow x 4))) (log (- (* x x) y))) (log (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (/ (* (* (+ (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4))) (+ (neg (* y y)) (pow x 4))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (* (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (neg (+ (neg (* y y)) (pow x 4))) (neg (- (* x x) y)) (/ 0 (- (* x x) y)) (/ (- (* y y) (pow x 4)) (- (* x x) y)) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) 1) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) 1) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (neg (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (neg (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (+ (neg (* y y)) (pow x 4)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) 1) (/ (+ (neg (* y y)) (pow x 4)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (neg (* y y)) (pow x 4)))) (/ (- (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (- (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (+ (neg (* y y)) (pow x 4)) (- (pow (* x x) 3) (pow y 3))) (/ (+ (neg (* y y)) (pow x 4)) (- (* (* x x) (* x x)) (* y y))) (* (- (* x x) y) (+ (* (neg (* y y)) (neg (* y y))) (- (* (pow x 4) (pow x 4)) (* (neg (* y y)) (pow x 4))))) (* (- (* x x) y) (- (neg (* y y)) (pow x 4))) (* (/ 1 (exp (* y y))) (exp (pow x 4))) (* (exp (neg (* y y))) (exp (pow x 4))) (log (+ (neg (* y y)) (pow x 4))) (exp (+ (neg (* y y)) (pow x 4))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (cbrt (+ (neg (* y y)) (pow x 4))) (* (* (+ (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4))) (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (+ (pow (neg (* y y)) 3) (pow (pow x 4) 3)) (+ (* (neg (* y y)) (neg (* y y))) (- (* (pow x 4) (pow x 4)) (* (neg (* y y)) (pow x 4)))) (- (* (neg (* y y)) (neg (* y y))) (* (pow x 4) (pow x 4))) (- (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4)) (- (* y y) (pow x 4)) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (* (exp (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (exp y)) (log (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (exp (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (* (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y))) (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (* (* (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y) (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (pow (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) 3) (pow y 3)) (+ (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (- (* y y) (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y))) (- (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (* y y)) (- (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y) (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y) (- (/ (- (* y y) (pow x 4)) (- (* x x) y)) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.157 * * [simplify]: iteration 0 : 327 enodes (cost 821 ) 1.164 * * [simplify]: iteration 1 : 1478 enodes (cost 742 ) 1.193 * * [simplify]: iteration 2 : 5002 enodes (cost 713 ) 1.197 * [simplify]: Simplified to: (log (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (log (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (/ (pow (+ (pow x 2) y) 3) 1) (* (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (/ (pow (+ (pow x 2) y) 3) 1) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))) (- (pow y 2) (pow x 4)) (neg (- (* x x) y)) 0 (/ (neg (+ (pow x 2) y)) 1) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (sqrt (+ (neg (* y y)) (pow x 4))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (- (pow x 4) (pow y 2)) (/ (- (pow x 4) (pow y 2)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (neg (* y y)) (pow x 4)))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3))) 1 (* (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (- (pow x 2) y)) (* (- (* x x) y) (- (neg (* y y)) (pow x 4))) (exp (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (cbrt (+ (neg (* y y)) (pow x 4))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (+ (neg (pow x 8)) (pow y 4)) (- (neg (* y y)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (pow y 2) (pow x 4)) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (pow y 2)) (* (* x x) y)) (* -1 y) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (* -1 y) (exp (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)))) (log (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (exp (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)))) (* (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y))) (cbrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (pow (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y) 3) (sqrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (pow (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) 3) (pow y 3)) (+ (* y (- y (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)))) (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)))) (- (/ (* (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) (- (pow x 4) (pow y 2))) (- (pow x 2) y)) (pow y 2)) (- (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y) (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) (- (/ (- (* y y) (pow x 4)) (- (* x x) y)) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.198 * * * [progress]: adding candidates to table 1.575 * [progress]: [Phase 3 of 3] Extracting. 1.576 * * [regime]: Finding splitpoints for: (# # #) 1.576 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 1.576 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.613 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# # #) 1.651 * * * * [regimes]: Trying to branch on y from (# # #) 1.689 * * * * [regimes]: Trying to branch on x from (# # #) 1.727 * * * [regime]: Found split indices: #