20.375 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- x (* y y)) 0.019 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.021 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.021 * [simplify]: Simplified to: (- x (* y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of 1 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1 in y 0.032 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (neg 1) in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * * * [progress]: simplifying candidates 0.037 * [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)) 0.040 * * [simplify]: iteration 0 : 76 enodes (cost 64 ) 0.042 * * [simplify]: iteration 1 : 239 enodes (cost 59 ) 0.047 * * [simplify]: iteration 2 : 647 enodes (cost 58 ) 0.061 * * [simplify]: iteration 3 : 2429 enodes (cost 58 ) 0.119 * * [simplify]: iteration 4 : 5002 enodes (cost 58 ) 0.119 * [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)) 0.119 * * * [progress]: adding candidates to table 0.135 * * [progress]: iteration 2 / 4 0.135 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.163 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 0.163 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.163 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.163 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.163 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.163 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.163 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of -1 in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.164 * [taylor]: Taking taylor expansion of NAN in y 0.165 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.165 * [taylor]: Taking taylor expansion of NAN in y 0.166 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.166 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (- (pow NAN 2) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.168 * [taylor]: Taking taylor expansion of NAN in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.169 * [taylor]: Taking taylor expansion of 2 in y 0.169 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.170 * [taylor]: Taking taylor expansion of NAN in y 0.171 * [taylor]: Taking taylor expansion of (* 3 (pow NAN 6)) in y 0.171 * [taylor]: Taking taylor expansion of 3 in y 0.171 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.171 * [taylor]: Taking taylor expansion of NAN in y 0.173 * [taylor]: Taking taylor expansion of (* 4 (pow NAN 8)) in y 0.173 * [taylor]: Taking taylor expansion of 4 in y 0.173 * [taylor]: Taking taylor expansion of (pow NAN 8) in y 0.173 * [taylor]: Taking taylor expansion of NAN in y 0.173 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.173 * [taylor]: Taking taylor expansion of -1 in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.174 * [taylor]: Taking taylor expansion of -1 in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (- (pow NAN 2) (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.175 * [taylor]: Taking taylor expansion of NAN in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.176 * [taylor]: Taking taylor expansion of 2 in y 0.176 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.176 * [taylor]: Taking taylor expansion of NAN in y 0.178 * [taylor]: Taking taylor expansion of (* 3 (pow NAN 6)) in y 0.178 * [taylor]: Taking taylor expansion of 3 in y 0.178 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.178 * [taylor]: Taking taylor expansion of NAN in y 0.180 * [taylor]: Taking taylor expansion of (* 4 (pow NAN 8)) in y 0.180 * [taylor]: Taking taylor expansion of 4 in y 0.180 * [taylor]: Taking taylor expansion of (pow NAN 8) in y 0.180 * [taylor]: Taking taylor expansion of NAN in y 0.180 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.180 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.180 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.180 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.180 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (neg y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.181 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 0.181 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 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 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0 in y 0.182 * [taylor]: Taking taylor expansion of (- NAN (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of NAN 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 (pow NAN 3) in y 0.182 * [taylor]: Taking taylor expansion of NAN in y 0.183 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.183 * [taylor]: Taking taylor expansion of NAN in y 0.183 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 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 (sqrt (/ -1 x)) in y 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.183 * [taylor]: Taking taylor expansion of -1 in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y 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 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y 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 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of (+ NAN (/ 1 y)) in y 0.184 * [taylor]: Taking taylor expansion of NAN in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (pow NAN 3) in y 0.184 * [taylor]: Taking taylor expansion of NAN in y 0.184 * [taylor]: Taking taylor expansion of (pow NAN 5) in y 0.184 * [taylor]: Taking taylor expansion of NAN in y 0.185 * * * [progress]: simplifying candidates 0.185 * [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))) (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) (* (pow x 2) (pow NAN 3))) y) (- (+ (/ (pow NAN 3) x) NAN) y) (- NAN (+ (/ (pow NAN 3) x) y)) 0.190 * * [simplify]: iteration 0 : 279 enodes (cost 372 ) 0.196 * * [simplify]: iteration 1 : 1298 enodes (cost 328 ) 0.221 * * [simplify]: iteration 2 : 5003 enodes (cost 319 ) 0.223 * [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) (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) (* (pow x 2) (pow NAN 3))) y) (- (+ (/ (pow NAN 3) x) NAN) y) (- NAN (+ (/ (pow NAN 3) x) y)) 0.224 * * * [progress]: adding candidates to table 0.277 * [progress]: [Phase 3 of 3] Extracting. 0.278 * * [regime]: Finding splitpoints for: (# #) 0.278 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.278 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.307 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.340 * * * * [regimes]: Trying to branch on y from (# #) 0.371 * * * * [regimes]: Trying to branch on x from (# #) 0.401 * * * [regime]: Found split indices: #