4.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.024 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.027 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.033 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.038 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.048 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.084 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.084 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.108 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.109 * [taylor]: Taking taylor expansion of (+ x y) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (- x y) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of -1 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of 2 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of 2 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.148 * [taylor]: Taking taylor expansion of -1 in y 0.148 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of 2 in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.177 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.183 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.207 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.209 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ x y)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (/ (pow x 4) 1) (/ (pow y 4) 1)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.209 * * * [progress]: adding candidates to table 0.284 * * [progress]: iteration 2 / 4 0.284 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.287 * * * [progress]: generating rewritten candidates 0.287 * * * [progress]: generating series expansions 0.287 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : 0.290 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.290 * [simplify]: Simplified to: 0.290 * * * [progress]: adding candidates to table 0.290 * * [progress]: iteration 3 / 4 0.290 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.292 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.325 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of (+ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of (+ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of (+ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.338 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.357 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.357 * [taylor]: Taking taylor expansion of -1 in y 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of -1 in y 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.373 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.373 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.373 * [taylor]: Taking taylor expansion of (+ x y) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (- x y) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (- x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (- x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of -1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 2 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of 1 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.398 * [taylor]: Taking taylor expansion of 2 in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.406 * [taylor]: Taking taylor expansion of -1 in y 0.406 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.412 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of 2 in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * * * [progress]: simplifying candidates 0.432 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (* x x) (* y y))))) (+ (log (- x y)) (log (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (exp (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y))))) (* (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (* (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt 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[simplify]: iteration 0 : 345 enodes (cost 738 ) 0.448 * * [simplify]: iteration 1 : 1708 enodes (cost 670 ) 0.477 * * [simplify]: iteration 2 : 5003 enodes (cost 668 ) 0.480 * [simplify]: Simplified to: (log (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* 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y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ x y)) (- x y)) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (- x y) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ (- x y) (/ (+ (* (pow x 3) x) (- (* (pow y 3) y))) (+ x y))) (* (cbrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (sqrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y y)))) 0 0 0 -1 1 1 0.480 * * * [progress]: adding candidates to table 0.618 * * [progress]: iteration 4 / 4 0.618 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.619 * * * [progress]: generating rewritten candidates 0.619 * * * [progress]: generating series expansions 0.619 * * * [progress]: simplifying candidates 0.620 * [simplify]: Simplifying using # : 0.622 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.622 * [simplify]: Simplified to: 0.622 * * * [progress]: adding candidates to table 0.622 * [progress]: [Phase 3 of 3] Extracting. 0.622 * * [regime]: Finding splitpoints for: (# # # #) 0.622 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.622 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 0.640 * * * * [regimes]: Trying to branch on y from (# # # #) 0.669 * * * * [regimes]: Trying to branch on x from (# # # #) 0.692 * * * [regime]: Found split indices: #