16.879 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (- x (* y y)) 0.067 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.068 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.069 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.069 * [simplify]: Simplified to: (- x (* y y)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (neg 1) in y 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * * * [progress]: simplifying candidates 0.084 * [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) (neg (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.086 * * [simplify]: iteration 0 : 76 enodes (cost 64 ) 0.088 * * [simplify]: iteration 1 : 239 enodes (cost 59 ) 0.092 * * [simplify]: iteration 2 : 647 enodes (cost 58 ) 0.104 * * [simplify]: iteration 3 : 2429 enodes (cost 58 ) 0.161 * * [simplify]: iteration 4 : 5002 enodes (cost 58 ) 0.162 * [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 (pow y 2)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ x (* y y))) (pow y 4)) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (neg (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.162 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.197 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.201 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.206 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 0.207 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.207 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.207 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.208 * [taylor]: Taking taylor expansion of NAN in y 0.209 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.209 * [taylor]: Taking taylor expansion of NAN in y 0.209 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.209 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of (- (pow NAN 2) (/ 1 (pow y 2))) in y 0.211 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.211 * [taylor]: Taking taylor expansion of NAN in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.212 * [taylor]: Taking taylor expansion of 2 in y 0.212 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.212 * [taylor]: Taking taylor expansion of NAN in y 0.214 * [taylor]: Taking taylor expansion of (* 3 (pow NAN 6)) in y 0.214 * [taylor]: Taking taylor expansion of 3 in y 0.214 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.214 * [taylor]: Taking taylor expansion of NAN in y 0.215 * [taylor]: Taking taylor expansion of (* 4 (pow NAN 8)) in y 0.215 * [taylor]: Taking taylor expansion of 4 in y 0.215 * [taylor]: Taking taylor expansion of (pow NAN 8) in y 0.215 * [taylor]: Taking taylor expansion of NAN in y 0.216 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.216 * [taylor]: Taking taylor expansion of -1 in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.216 * [taylor]: Taking taylor expansion of -1 in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of (- (pow NAN 2) (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.218 * [taylor]: Taking taylor expansion of NAN 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 0.219 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.219 * [taylor]: Taking taylor expansion of NAN in y 0.220 * [taylor]: Taking taylor expansion of (* 3 (pow NAN 6)) in y 0.220 * [taylor]: Taking taylor expansion of 3 in y 0.220 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.220 * [taylor]: Taking taylor expansion of NAN in y 0.222 * [taylor]: Taking taylor expansion of (* 4 (pow NAN 8)) in y 0.222 * [taylor]: Taking taylor expansion of 4 in y 0.222 * [taylor]: Taking taylor expansion of (pow NAN 8) in y 0.222 * [taylor]: Taking taylor expansion of NAN in y 0.223 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.223 * [approximate]: Taking taylor expansion of (+ y (sqrt x)) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of NAN in y 0.223 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.223 * [taylor]: Taking taylor expansion of NAN in y 0.223 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (+ NAN (/ 1 y)) in y 0.224 * [taylor]: Taking taylor expansion of NAN in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.224 * [taylor]: Taking taylor expansion of NAN in y 0.225 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.225 * [taylor]: Taking taylor expansion of NAN in y 0.225 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.225 * [taylor]: Taking taylor expansion of -1 in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of (- NAN (/ 1 y)) in y 0.226 * [taylor]: Taking taylor expansion of NAN in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.226 * [taylor]: Taking taylor expansion of NAN in y 0.226 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.226 * [taylor]: Taking taylor expansion of NAN in y 0.227 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.227 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.227 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.227 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.227 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (neg y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of NAN in y 0.227 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.227 * [taylor]: Taking taylor expansion of NAN in y 0.228 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (- NAN (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of NAN in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.229 * [taylor]: Taking taylor expansion of NAN in y 0.229 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.229 * [taylor]: Taking taylor expansion of NAN in y 0.229 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.230 * [taylor]: Taking taylor expansion of -1 in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of (+ NAN (/ 1 y)) in y 0.230 * [taylor]: Taking taylor expansion of NAN in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.230 * [taylor]: Taking taylor expansion of NAN in y 0.231 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.231 * [taylor]: Taking taylor expansion of NAN in y 0.231 * * * [progress]: simplifying candidates 0.232 * [simplify]: Simplifying using # : (* (+ (sqrt x) y) (- (sqrt x) y)) (+ (log (+ (sqrt x) y)) (log (- (sqrt x) y))) (log (* (+ (sqrt x) y) (- (sqrt x) y))) (exp (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (+ (sqrt x) y)) (+ (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y))) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (pow (sqrt x) 3) (pow y 3))) (* (- (sqrt x) y) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (- (sqrt x) y) (+ (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (neg y)) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (neg y)) (* (sqrt x) (+ (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (sqrt x) (+ (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) 1) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) 1) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (sqrt x) y) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (sqrt x) y)) (* (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))) (- (* (sqrt x) (sqrt x)) (* y y)) (- (sqrt x) y) (+ (sqrt x) y) (/ (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) (neg y) (- (+ (* (pow x 2) (pow NAN 2)) (* 2 (* (pow x 3) (pow NAN 4)))) (pow y 2)) (- (+ (pow NAN 2) (* 2 (/ (pow NAN 4) 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)) 0.236 * * [simplify]: iteration 0 : 298 enodes (cost 434 ) 0.242 * * [simplify]: iteration 1 : 1328 enodes (cost 384 ) 0.265 * * [simplify]: iteration 2 : 5001 enodes (cost 375 ) 0.268 * [simplify]: Simplified to: (- x (pow y 2)) (log (- x (pow y 2))) (log (- x (pow y 2))) (exp (- x (pow y 2))) (pow (- x (pow y 2)) 3) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (pow (- x (pow y 2)) 3) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (+ y (sqrt x))) x) (+ (* y (- y (sqrt x))) x)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- x (pow y 2))) (* (+ (sqrt x) y) (+ (* y (- y (sqrt x))) x)) (* (- x (pow y 2)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (+ y (sqrt x))) x) (- (sqrt x) y)) (* (+ x (neg (pow y 2))) (+ x (neg (pow y 2)))) (- x (pow y 2)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (+ (sqrt x) y) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (+ (sqrt x) y) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (- x (pow y 2)) (- x (pow y 2)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ x (neg (pow y 2))) (+ (sqrt x) y)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (sqrt x) y) (+ x (neg (pow y 2)))) (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 (sqrt x) 3) (pow y 3)) (+ (* y (- y (sqrt x))) x) (- x (pow y 2)) (- (sqrt x) y) (+ (sqrt x) y) (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 (sqrt x) 3) (pow y 3)) (+ (* y (+ y (sqrt x))) x) (neg y) (- x (pow y 2)) (+ (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) (neg y) (- (+ (* (pow x 2) (pow NAN 2)) (* 2 (* (pow x 3) (pow NAN 4)))) (pow y 2)) (- (+ (pow NAN 2) (* 2 (/ (pow NAN 4) 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)) 0.268 * * * [progress]: adding candidates to table 0.333 * [progress]: [Phase 3 of 3] Extracting. 0.333 * * [regime]: Finding splitpoints for: (# #) 0.333 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.333 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.364 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.396 * * * * [regimes]: Trying to branch on y from (# #) 0.427 * * * * [regimes]: Trying to branch on x from (# #) 0.458 * * * [regime]: Found split indices: #