20.444 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ (+ (* x y) x) y) 0.019 * * [simplify]: iteration 0 : 44 enodes (cost 7 ) 0.019 * * [simplify]: iteration 1 : 44 enodes (cost 7 ) 0.019 * [simplify]: Simplified to: (+ x (+ y (* x y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.038 * [approximate]: Taking taylor expansion of (+ x (* x y)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (* x y) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.039 * [taylor]: Taking taylor expansion of (* x y) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.041 * [taylor]: Taking taylor expansion of (* x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (+ x (+ y (* x y))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ y (* x y)) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (* x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ y (* x y)) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ y (* x y)) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.043 * [taylor]: Taking taylor expansion of (* x y) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * * * [progress]: simplifying candidates 0.046 * [simplify]: Simplifying using # : (* (exp (* x y)) (exp x)) (log (+ (* x y) x)) (exp (+ (* x y) x)) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))) (cbrt (+ (* x y) x)) (* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x)) (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)) (+ (pow (* x y) 3) (pow x 3)) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))) (- (* (* x y) (* x y)) (* x x)) (- (* x y) x) (* (* (exp (* x y)) (exp x)) (exp y)) (* (exp (+ (* x y) x)) (exp y)) (log (+ (+ (* x y) x) y)) (exp (+ (+ (* x y) x) y)) (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))) (cbrt (+ (+ (* x y) x) y)) (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)) (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (+ (* x y) x)) (- (* y y) (* (+ (* x y) x) y))) (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ x y) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) (+ x (+ y (* x y))) (+ x (+ y (* x y))) (+ x (+ y (* x y))) 0.094 * * [simplify]: iteration 0 : 5019 enodes (cost 268 ) 0.096 * [simplify]: Simplified to: (pow (exp x) (+ y 1)) (log (+ x (* x y))) (pow (exp x) (+ y 1)) (* (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 y) 3) (pow x 3)) (* x (+ x (* x (- (* y y) y)))) (* x (- (* x (* y y)) x)) (- (* x y) x) (exp (+ x (+ y (* x y)))) (exp (+ x (+ y (* x y)))) (log (+ x (+ y (* x y)))) (exp (+ x (+ y (* x y)))) (* (cbrt (+ x (+ y (* x y)))) (cbrt (+ x (+ y (* x y))))) (cbrt (+ x (+ y (* x y)))) (pow (+ x (+ y (* x y))) 3) (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))) (+ (pow (+ x (* x y)) 3) (pow y 3)) (+ (* y y) (* x (* (+ y 1) (+ x (- (* x y) y))))) (- (* x (* x (* (+ y 1) (+ y 1)))) (* y y)) (+ x (- (* x y) y)) (+ x (+ y (* x y))) (+ x y) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) (+ x (+ y (* x y))) (+ x (+ y (* x y))) (+ x (+ y (* x y))) 0.096 * * * [progress]: adding candidates to table 0.126 * * [progress]: iteration 2 / 4 0.126 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (/ (* x (- (* x (pow y 2)) x)) (- (* x y) x)) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (/ (* x (- (* x (pow y 2)) x)) (- (* x y) x)) in y 0.171 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in y 0.171 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (- (* x y) x) in y 0.171 * [taylor]: Taking taylor expansion of (* x y) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ (* x (- (* x (pow y 2)) x)) (- (* x y) x)) in x 0.171 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.171 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (* x y) x) in x 0.172 * [taylor]: Taking taylor expansion of (* x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ (* x (- (* x (pow y 2)) x)) (- (* x y) x)) in x 0.172 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.172 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (* x y) x) in x 0.172 * [taylor]: Taking taylor expansion of (* x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) 1) (- y 1)) in y 0.173 * [taylor]: Taking taylor expansion of (- (pow y 2) 1) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of (- y 1) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (* x (- (/ 1 (* x y)) (/ 1 x)))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (* x (- (/ 1 (* x y)) (/ 1 x)))) in y 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (* x y)) (/ 1 x))) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.175 * [taylor]: Taking taylor expansion of (* x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (* x (- (/ 1 (* x y)) (/ 1 x)))) in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (* x y)) (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.176 * [taylor]: Taking taylor expansion of (* x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (* x (- (/ 1 (* x y)) (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (* x y)) (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1) (- (/ 1 y) 1)) in y 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y)))))) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y)))))) in y 0.184 * [taylor]: Taking taylor expansion of -1 in y 0.184 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y))))) in y 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 (* x y)))) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.185 * [taylor]: Taking taylor expansion of (* x y) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y)))))) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.185 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y))))) in x 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 (* x y)))) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.185 * [taylor]: Taking taylor expansion of (* x y) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y)))))) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (* x (+ (/ 1 x) (/ 1 (* x y))))) in x 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 (* x y)))) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.186 * [taylor]: Taking taylor expansion of (* x y) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 (pow y 2))) (+ (/ 1 y) 1))) in y 0.187 * [taylor]: Taking taylor expansion of -1 in y 0.187 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 (pow y 2))) (+ (/ 1 y) 1)) in y 0.187 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.192 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.196 * [taylor]: Taking taylor expansion of -1 in y 0.196 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of -1 in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.198 * [approximate]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in y 0.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (* x (- (* x (pow y 2)) x)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of (- (pow y 2) 1) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) x) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) x) in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) x) in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.200 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) x) in x 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.201 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x)) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x)) in y 0.205 * [taylor]: Taking taylor expansion of -1 in y 0.205 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x) in y 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x)) in x 0.206 * [taylor]: Taking taylor expansion of -1 in x 0.206 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x) in x 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x)) in x 0.206 * [taylor]: Taking taylor expansion of -1 in x 0.206 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) x) in x 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (* -1 (- 1 (/ 1 (pow y 2)))) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.211 * [approximate]: Taking taylor expansion of (- (* x (pow y 2)) x) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in y 0.211 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.211 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (- (* x (pow y 2)) x) in x 0.212 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of (- (pow y 2) 1) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (pow y 2))) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* x (pow y 2)))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* x (* y y)) x))) (log (- (* x y) x))) (- (log (* x (- (* x (* y y)) x))) (log (- (* x y) x))) (log (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (exp (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (/ (* (* (* x x) x) (* (* (- (* x (* y y)) x) (- (* x (* y y)) x)) (- (* x (* y y)) x))) (* (* (- (* x y) x) (- (* x y) x)) (- (* x y) x))) (/ (* (* (* x (- (* x (* y y)) x)) (* x (- (* x (* y y)) x))) (* x (- (* x (* y y)) x))) (* (* (- (* x y) x) (- (* x y) x)) (- (* x y) x))) (* (cbrt (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (cbrt (/ (* x (- (* x (* y y)) x)) (- (* x y) x)))) (cbrt (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (* (* (/ (* x (- (* x (* y y)) x)) (- (* x y) x)) (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (sqrt (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (sqrt (/ (* x (- (* x (* y y)) x)) (- (* x y) x))) (neg (* x (- (* x (* y y)) x))) (neg (- (* x y) x)) (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (- (* x (* y y)) x) (cbrt (- (* x y) x))) (/ x (sqrt (- (* x y) x))) (/ (- (* x (* y y)) x) (sqrt (- (* x y) x))) (/ x 1) (/ (- (* x (* y y)) x) (- (* x y) x)) (/ 1 (- (* x y) x)) (/ (- (* x y) x) (* x (- (* x (* y y)) x))) (/ (* x (- (* x (* y y)) x)) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (* x (- (* x (* y y)) x)) (sqrt (- (* x y) x))) (/ (* x (- (* x (* y y)) x)) 1) (/ (- (* x y) x) (- (* x (* y y)) x)) (/ (* x (- (* x (* y y)) x)) (- (pow (* x y) 3) (pow x 3))) (/ (* x (- (* x (* y y)) x)) (- (* (* x y) (* x y)) (* x x))) (* (- (* x y) x) (+ (* (* x (* y y)) (* x (* y y))) (+ (* x x) (* (* x (* y y)) x)))) (* (- (* x y) x) (+ (* x (* y y)) x)) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (- (* x (* y y)) x)) (+ (log x) (log (- (* x (* y y)) x))) (log (* x (- (* x (* y y)) x))) (exp (* x (- (* x (* y y)) x))) (* (* (* x x) x) (* (* (- (* x (* y y)) x) (- (* x (* y y)) x)) (- (* x (* y y)) x))) (* (cbrt (* x (- (* x (* y y)) x))) (cbrt (* x (- (* x (* y y)) x)))) (cbrt (* x (- (* x (* y y)) x))) (* (* (* x (- (* x (* y y)) x)) (* x (- (* x (* y y)) x))) (* x (- (* x (* y y)) x))) (sqrt (* x (- (* x (* y y)) x))) (sqrt (* x (- (* x (* y y)) x))) (* (sqrt x) (sqrt (- (* x (* y y)) x))) (* (sqrt x) (sqrt (- (* x (* y y)) x))) (* x (* x (* y y))) (* x (neg x)) (* x (* x (* y y))) (* x (neg x)) (* (* x (* y y)) x) (* (neg x) x) (* (* x (* y y)) x) (* (neg x) x) (* x (* (cbrt (- (* x (* y y)) x)) (cbrt (- (* x (* y y)) x)))) (* x (sqrt (- (* x (* y y)) x))) (* x 1) (* (cbrt x) (- (* x (* y y)) x)) (* (sqrt x) (- (* x (* y y)) x)) (* x (- (* x (* y y)) x)) (* x (- (pow (* x (* y y)) 3) (pow x 3))) (* x (- (* (* x (* y y)) (* x (* y y))) (* x x))) (/ (exp (* x (* y y))) (exp x)) (log (- (* x (* y y)) x)) (exp (- (* x (* y y)) x)) (* (cbrt (- (* x (* y y)) x)) (cbrt (- (* x (* y y)) x))) (cbrt (- (* x (* y y)) x)) (* (* (- (* x (* y y)) x) (- (* x (* y y)) x)) (- (* x (* y y)) x)) (sqrt (- (* x (* y y)) x)) (sqrt (- (* x (* y y)) x)) (- (pow (* x (* y y)) 3) (pow x 3)) (+ (* (* x (* y y)) (* x (* y y))) (+ (* x x) (* (* x (* y y)) x))) (neg x) (- (* (* x (* y y)) (* x (* y y))) (* x x)) (+ (* x (* y y)) x) (neg x) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* -1 (pow x 2)) (- (* (pow x 2) (pow y 2)) (pow x 2)) (- (* (pow x 2) (pow y 2)) (pow x 2)) (* -1 x) (- (* x (pow y 2)) x) (- (* x (pow y 2)) x) 0.258 * * [simplify]: iteration 0 : 5152 enodes (cost 919 ) 0.262 * [simplify]: Simplified to: (log (/ (- (* x (* y y)) x) (+ y -1))) (log (/ (- (* x (* y y)) x) (+ y -1))) (log (/ (- (* x (* y y)) x) (+ y -1))) (exp (/ (- (* x (* y y)) x) (+ y -1))) (pow (/ (- (* x (* y y)) x) (+ y -1)) 3) (pow (/ (- (* x (* y y)) x) (+ y -1)) 3) (* (cbrt (/ (- (* x (* y y)) x) (+ y -1))) (cbrt (/ (- (* x (* y y)) x) (+ y -1)))) (cbrt (/ (- (* x (* y y)) x) (+ y -1))) (pow (/ (- (* x (* y y)) x) (+ y -1)) 3) (sqrt (/ (- (* x (* y y)) x) (+ y -1))) (sqrt (/ (- (* x (* y y)) x) (+ y -1))) (* x (+ x (* x (neg (* y y))))) (+ x (* x (neg y))) (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (- (* x (* y y)) x) (cbrt (- (* x y) x))) (/ x (sqrt (- (* x y) x))) (/ (- (* x (* y y)) x) (sqrt (- (* x y) x))) x (/ (- (* x (* y y)) x) (- (* x y) x)) (/ 1 (- (* x y) x)) (* (/ 1 (+ (* y y) -1)) (- (/ y x) (/ 1 x))) (* (- (* x (* y y)) x) (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))) (* (- (* x (* y y)) x) (/ x (sqrt (- (* x y) x)))) (* x (- (* x (* y y)) x)) (/ (- (* x y) x) (- (* x (* y y)) x)) (* (- (* x (* y y)) x) (/ x (- (pow (* x y) 3) (pow x 3)))) 1 (* (- (* x y) x) (* x (* x (+ (pow y 4) (+ (* y y) 1))))) (* (- (* x y) x) (+ x (* x (* y y)))) (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (pow (exp x) (* y y)) (* (pow x 3) (pow y 6)) (* (pow x 3) (pow y 6)) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (pow x 3) (pow y 6)) (fabs (* y (sqrt x))) (fabs (* y (sqrt x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* y (* y (cbrt x))) (* y (* y (sqrt x))) (* x (* y y)) (* x (- (* x (* y y)) x)) (log (* x (- (* x (* y y)) x))) (log (* x (- (* x (* y y)) x))) (pow (exp x) (- (* x (* y y)) x)) (pow (* x (- (* x (* y y)) x)) 3) (* (cbrt (* x (- (* x (* y y)) x))) (cbrt (* x (- (* x (* y y)) x)))) (cbrt (* x (- (* x (* y y)) x))) (pow (* x (- (* x (* y y)) x)) 3) (sqrt (* x (- (* x (* y y)) x))) (sqrt (* x (- (* x (* y y)) x))) (* (sqrt x) (sqrt (- (* x (* y y)) x))) (* (sqrt x) (sqrt (- (* x (* y y)) x))) (* x (* x (* y y))) (* x (neg x)) (* x (* x (* y y))) (* x (neg x)) (* x (* x (* y y))) (* x (neg x)) (* x (* x (* y y))) (* x (neg x)) (* x (* (cbrt (- (* x (* y y)) x)) (cbrt (- (* x (* y y)) x)))) (* x (sqrt (- (* x (* y y)) x))) x (* (- (* x (* y y)) x) (cbrt x)) (* (- (* x (* y y)) x) (sqrt x)) (* x (- (* x (* y y)) x)) (* x (* (pow x 3) (- (pow y 6) 1))) (- (* y (pow (* x y) 3)) (pow x 3)) (pow (exp x) (+ (* y y) -1)) (log (- (* x (* y y)) x)) (pow (exp x) (+ (* y y) -1)) (* (cbrt (- (* x (* y y)) x)) (cbrt (- (* x (* y y)) x))) (cbrt (- (* x (* y y)) x)) (pow (- (* x (* y y)) x) 3) (sqrt (- (* x (* y y)) x)) (sqrt (- (* x (* y y)) x)) (* (pow x 3) (- (pow y 6) 1)) (* x (* x (+ (pow y 4) (+ (* y y) 1)))) (neg x) (* x (- (* x (pow y 4)) x)) (+ x (* x (* y y))) (neg x) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x (neg x)) (* x (- (* x (* y y)) x)) (* x (- (* x (* y y)) x)) (neg x) (- (* x (* y y)) x) (- (* x (* y y)) x) 0.262 * * * [progress]: adding candidates to table 0.332 * [progress]: [Phase 3 of 3] Extracting. 0.332 * * [regime]: Finding splitpoints for: (# #) 0.333 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x y) x) y) y x) 0.333 * * * * [regimes]: Trying to branch on (+ (+ (* x y) x) y) from (# #) 0.365 * * * * [regimes]: Trying to branch on y from (# #) 0.397 * * * * [regimes]: Trying to branch on x from (# #) 0.427 * * * [regime]: Found split indices: #