1.997 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (- x (* y y)) 0.073 * * [simplify]: iteration 0 : 89 enodes (cost 5 ) 0.073 * * [simplify]: iteration 1 : 89 enodes (cost 5 ) 0.073 * [simplify]: Simplified to: (- x (* y y)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (neg 1) in y 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* 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))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.128 * * [simplify]: iteration 0 : 4939 enodes (cost 113 ) 0.129 * * [simplify]: iteration 1 : 4939 enodes (cost 113 ) 0.130 * [simplify]: Simplified to: (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow y 6)) (+ (pow y 4) (* x (+ x (* y y)))) (neg (* y y)) (- (* x x) (pow y 4)) (+ x (* y y)) (+ y (sqrt x)) (- (sqrt x) y) (- x (* y y)) (- x (* y y)) (- x (* y y)) 0.130 * * * [progress]: adding candidates to table 0.147 * * [progress]: iteration 2 / 4 0.147 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.167 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.176 * [approximate]: Taking taylor expansion of (* (+ (sqrt x) y) (- (sqrt x) y)) in (y x) around 0 0.176 * [taylor]: Taking taylor expansion of (* (+ (sqrt x) y) (- (sqrt x) y)) in x 0.176 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt x) 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 (- (sqrt x) y) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt x) 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 (* (+ (sqrt x) y) (- (sqrt x) y)) in y 0.176 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in y 0.176 * [taylor]: Taking taylor expansion of (sqrt x) 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 (- (sqrt x) y) in y 0.176 * [taylor]: Taking taylor expansion of (sqrt x) 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 (* (+ (sqrt x) y) (- (sqrt x) y)) in y 0.176 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in y 0.176 * [taylor]: Taking taylor expansion of (sqrt x) 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 (- (sqrt x) y) in y 0.176 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 0 in x 0.177 * [taylor]: Taking taylor expansion of (neg 1) in x 0.177 * [taylor]: Taking taylor expansion of 1 in x 0.177 * [taylor]: Taking taylor expansion of 0 in x 0.177 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (y x) around 0 0.177 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of 0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.181 * [taylor]: Taking taylor expansion of 0 in x 0.181 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (y x) around 0 0.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.182 * [taylor]: Taking taylor expansion of -1 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of 0 in x 0.183 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of 0 in x 0.184 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.186 * [approximate]: Taking taylor expansion of (+ (sqrt x) y) in (y x) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in x 0.186 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in y 0.186 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (sqrt x) y) in y 0.186 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [taylor]: Taking taylor expansion of 0 in x 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in (y x) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) 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 (sqrt (/ 1 x)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) 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 (sqrt (/ 1 x)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of 1 in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of 0 in x 0.188 * [taylor]: Taking taylor expansion of 0 in x 0.188 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in (y x) around 0 0.188 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.188 * [taylor]: Taking taylor expansion of -1 in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.188 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.188 * [taylor]: Taking taylor expansion of -1 in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.188 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.188 * [taylor]: Taking taylor expansion of -1 in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (neg 1) in x 0.189 * [taylor]: Taking taylor expansion of 1 in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.190 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.190 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.190 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.190 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.190 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (neg y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of NAN in y 0.190 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.190 * [taylor]: Taking taylor expansion of NAN in y 0.191 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (- NAN (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of NAN in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.192 * [taylor]: Taking taylor expansion of NAN in y 0.192 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.192 * [taylor]: Taking taylor expansion of NAN in y 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.192 * [taylor]: Taking taylor expansion of -1 in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (+ NAN (/ 1 y)) in y 0.193 * [taylor]: Taking taylor expansion of NAN in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.193 * [taylor]: Taking taylor expansion of NAN in y 0.194 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.194 * [taylor]: Taking taylor expansion of NAN in y 0.194 * * * [progress]: simplifying candidates 0.195 * [simplify]: Simplifying using # : (* (+ y (sqrt x)) (- (sqrt x) y)) (+ (log (+ y (sqrt x))) (log (- (sqrt x) y))) (log (* (+ y (sqrt x)) (- (sqrt x) y))) (exp (* (+ y (sqrt x)) (- (sqrt x) y))) (* (* (* (+ y (sqrt x)) (+ y (sqrt x))) (+ y (sqrt x))) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y))) (* (cbrt (* (+ y (sqrt x)) (- (sqrt x) y))) (cbrt (* (+ y (sqrt x)) (- (sqrt x) y)))) (cbrt (* (+ y (sqrt x)) (- (sqrt x) y))) (* (* (* (+ y (sqrt x)) (- (sqrt x) y)) (* (+ y (sqrt x)) (- (sqrt x) y))) (* (+ y (sqrt x)) (- (sqrt x) y))) (sqrt (* (+ y (sqrt x)) (- (sqrt x) y))) (sqrt (* (+ y (sqrt x)) (- (sqrt x) y))) (* (+ (pow y 3) (pow (sqrt x) 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y y) (- (* (sqrt x) (sqrt x)) (* y (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (+ (pow y 3) (pow (sqrt x) 3)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (* y y) (- (* (sqrt x) (sqrt x)) (* y (sqrt x)))) (+ (sqrt x) y)) (* (- (* y y) (* (sqrt x) (sqrt x))) (- (pow (sqrt x) 3) (pow y 3))) (* (- y (sqrt x)) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (- (* y y) (* (sqrt x) (sqrt x))) (- (* (sqrt x) (sqrt x)) (* y y))) (* (- y (sqrt x)) (+ (sqrt x) y)) (* (sqrt (+ y (sqrt x))) (sqrt (- (sqrt x) y))) (* (sqrt (+ y (sqrt x))) (sqrt (- (sqrt x) y))) (* (+ y (sqrt x)) (sqrt x)) (* (+ y (sqrt x)) (neg y)) (* (sqrt x) (+ y (sqrt x))) (* (neg y) (+ y (sqrt x))) (* (+ y (sqrt x)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ y (sqrt x)) (sqrt (- (sqrt x) y))) (* (+ y (sqrt x)) 1) (* (+ y (sqrt x)) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ y (sqrt x)) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ y (sqrt x)) 1) (* (cbrt (+ y (sqrt x))) (- (sqrt x) y)) (* (sqrt (+ y (sqrt x))) (- (sqrt x) y)) (* (+ y (sqrt x)) (- (sqrt x) y)) (* (+ y (sqrt x)) (- (sqrt x) y)) (* (+ y (sqrt x)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ y (sqrt x)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (pow y 3) (pow (sqrt x) 3)) (- (sqrt x) y)) (* (- (* y y) (* (sqrt x) (sqrt x))) (- (sqrt x) y)) (* (exp y) (exp (sqrt x))) (log (+ y (sqrt x))) (exp (+ y (sqrt x))) (* (cbrt (+ y (sqrt x))) (cbrt (+ y (sqrt x)))) (cbrt (+ y (sqrt x))) (* (* (+ y (sqrt x)) (+ y (sqrt x))) (+ y (sqrt x))) (sqrt (+ y (sqrt x))) (sqrt (+ y (sqrt x))) (+ (pow y 3) (pow (sqrt x) 3)) (+ (* y y) (- (* (sqrt x) (sqrt x)) (* y (sqrt x)))) (- (* y y) (* (sqrt x) (sqrt x))) (- y (sqrt x)) (+ y (sqrt x)) (/ (exp (sqrt x)) (exp y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y))) (neg y) (- (* (sqrt x) (sqrt x)) (* y y)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- x (pow y 2)) (- x (pow y 2)) (- (pow NAN 2) (+ (pow y 2) (* 2 (/ (pow NAN 4) x)))) (+ (* x NAN) (+ y (* (pow x 2) (pow NAN 3)))) (+ (/ (pow NAN 3) x) (+ NAN y)) (- (+ NAN y) (/ (pow NAN 3) x)) (- (+ (* x NAN) (* (pow x 2) (pow NAN 3))) y) (- (+ (/ (pow NAN 3) x) NAN) y) (- NAN (+ (/ (pow NAN 3) x) y)) 0.242 * * [simplify]: iteration 0 : 4980 enodes (cost 605 ) 0.242 * * [simplify]: iteration 1 : 4980 enodes (cost 605 ) 0.245 * [simplify]: Simplified to: (- x (* y y)) (log (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (- x (* y y)) 3) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (* (+ (pow y 3) (pow x 3/2)) (- (pow x 3/2) (pow y 3))) (* (+ x (* y (- y (sqrt x)))) (+ x (* y (+ y (sqrt x))))) (* (- x (* y y)) (+ (pow y 3) (pow x 3/2))) (* (+ y (sqrt x)) (+ x (* y (- y (sqrt x))))) (* (- (pow x 3/2) (pow y 3)) (- (* y y) x)) (* (+ x (* y (+ y (sqrt x)))) (- y (sqrt x))) (* (- x (* y y)) (- (* y y) x)) (- (* y y) x) (* (sqrt (+ y (sqrt x))) (sqrt (- (sqrt x) y))) (* (sqrt (+ y (sqrt x))) (sqrt (- (sqrt x) y))) (+ x (* y (sqrt x))) (* (+ y (sqrt x)) (neg y)) (+ x (* y (sqrt x))) (* (+ y (sqrt x)) (neg y)) (* (+ y (sqrt x)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ y (sqrt x)) (sqrt (- (sqrt x) y))) (+ y (sqrt x)) (* (+ y (sqrt x)) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ y (sqrt x)) (+ (sqrt (sqrt x)) (sqrt y))) (+ y (sqrt x)) (* (- (sqrt x) y) (cbrt (+ y (sqrt x)))) (* (- (sqrt x) y) (sqrt (+ y (sqrt x)))) (- x (* y y)) (- x (* y y)) (* (+ y (sqrt x)) (- (pow x 3/2) (pow y 3))) (* (+ y (sqrt x)) (- x (* y y))) (* (- (sqrt x) y) (+ (pow y 3) (pow x 3/2))) (* (- (sqrt x) y) (- (* y y) x)) (exp (+ y (sqrt x))) (log (+ y (sqrt x))) (exp (+ y (sqrt x))) (* (cbrt (+ y (sqrt x))) (cbrt (+ y (sqrt x)))) (cbrt (+ y (sqrt x))) (pow (+ y (sqrt x)) 3) (sqrt (+ y (sqrt x))) (sqrt (+ y (sqrt x))) (+ (pow y 3) (pow x 3/2)) (+ x (* y (- y (sqrt x)))) (- (* y y) x) (- y (sqrt x)) (+ y (sqrt x)) (exp (- (sqrt x) y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (pow (- (sqrt x) y) 3) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow x 3/2) (pow y 3)) (+ x (* y (+ y (sqrt x)))) (neg y) (- x (* y y)) (+ y (sqrt x)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- x (* y y)) (- x (* y y)) (- (* NAN NAN) (+ (* y y) (* 2 (/ (pow NAN 4) x)))) (+ y (* x (+ NAN (* x (pow NAN 3))))) (+ (/ (pow NAN 3) x) (+ y NAN)) (- (+ y NAN) (/ (pow NAN 3) x)) (- (* x (+ NAN (* x (pow NAN 3)))) y) (- (+ NAN (/ (pow NAN 3) x)) y) (- NAN (+ y (/ (pow NAN 3) x))) 0.245 * * * [progress]: adding candidates to table 0.313 * [progress]: [Phase 3 of 3] Extracting. 0.313 * * [regime]: Finding splitpoints for: (# #) 0.314 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.314 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.343 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.373 * * * * [regimes]: Trying to branch on y from (# #) 0.403 * * * * [regimes]: Trying to branch on x from (# #) 0.432 * * * [regime]: Found split indices: #